Answer:
8ft/3ft is the answer, please mark me BRAINLIEST! Thanks!
Find the x-intercept of the graph of the linear equation y= - 1/3 x+3?
x-intercept =
Answer:
9
Step-by-step explanation:
Plug in 0 for y and solve for x.
0 = (-1/3)x + 3
(-1/3)x = -3
x = 9
I need help with these
The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;
1. AB:BC = 5:3
2. AB:CD = 1:1
3. m∠A : m∠C= 1 : 4
4. m∠B:m∠C = 4:1
5. AD: Perimeter ABCD = 3:16
What is a ratio?A ratio is a representation of the number of times one quantity is contained in another quantity.
The shape of the quadrilateral ABCD in the question = A parallelogram
Length of AB = 15
Length of BC = 9
Measure of angle m∠A = 36°
Therefore;
1. AB:BC = 15:9 = 5:3
2. AB ≅ CD (Opposite sides of a parallelogram are congruent)
AB = CD (Definition of congruency)
AB = 15, therefore, CD = 15 transitive property
AB:CD = 15:15 = 1:1
3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)
Therefore; m∠A = m∠C = 36°
∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)
Therefore; ∠A + ∠D = 180°
36° + ∠D = 180°
∠D = 180° - 36° = 144°
∠D = 144°
m∠A : m∠C = 36°:144° =1:4
m∠A : m∠C = 1:4
4. ∠B = ∠D = 144° (properties of a parallelogram)
m∠B : m∠C = 144° : 36° = 4:1
5. AD ≅ BC (opposite sides of a parallelogram)
AD = BC = 9 (definition of congruency)
The perimeter of the parallelogram ABCD = AB + BC + CD + DA
Therefore;
Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48
AD:Perimeter of the ABCD = 9 : 48 = 3 : 16
Learn more about ratios here:
https://brainly.com/question/19220252
#SPJ1
Joelle wants to center a painting on a wall that is 16.9 feet long. how much space will be between the end of the wall and the painting?
The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.
To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.
Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.
Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.
To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).
Next, we simplify the equation to 16.9 - x = 2 * space.
To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.
To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.
In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.
Know more about multiply here,
https://brainly.com/question/30875464
#SPJ11
Answer the following questions for the function \( f(x)=x \mid \operatorname{sgrt}\left(x^{\wedge} 2+16\right) \) defined on the interval \( -5 \) le \( x \) le 4 . \( f(x) \) is concave down on the i
f(x) is a concave down function over the interval \([-5, 4]\), and it has no inflection points. The slope of the function's tangent lines is negative from x = -5 to x = 0 and positive from x = 0 to x = 4.
First, the function is concave down over the given interval. The function will have an inflection point in this interval, as concave-down functions have inflection points. So, if we want to locate a function's inflection point(s), we must first find its second derivative.
If the second derivative is greater than zero, the function is concave up; if the second derivative is less than zero, the function is concave down. If the second derivative is zero, the function has no concavity. As a result, the function f(x) has no inflection points. Furthermore, f(x) is concave down over the entire interval.
The tangent lines of the function are negative from x = -5 to x = 0, and they are positive from x = 0 to x = 4. The function has a local minimum at x = -4, with a value of -4.47, and a local maximum at x = 4, with a value of 4.47.
The function's graph will appear to be a monotonically increasing curve from -5 to -4.47, followed by a monotonically decreasing curve from -4.47 to 0, and finally, a monotonically increasing curve from 0 to 4
Therefore, f(x) is a concave-down function over the interval \([-5, 4]\), and it has no inflection points. The slope of the function's tangent lines is negative from x = -5 to x = 0 and positive from x = 0 to x = 4.
Function's graph appears to be a monotonically increasing curve from -5 to -4.47, followed by a monotonically decreasing curve from -4.47 to 0, and finally, a monotonically increasing curve from 0 to 4.
To know more about the concave down, visit:
brainly.com/question/32056071
#SPJ11
Write an equation of a line that passes through (-6, 1), parallel to y=2x−6 .
Answer:
y=12x+4 hope this helped ╯︿╰
Step-by-step explanation:
< 3
when comparing two sample means, we can safely reject the null hypothesis if ______.
When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.
In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.
To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.
Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.
The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.
To know more about null hypothesis, refer here:
https://brainly.com/question/30535681
#SPJ11
0.3x
1
+0.1x
2
≤2.7→0.3x
1
+0.1x
2
≤1.8 Work through the simplex method step by step. How the solution changes (i.e., LP has optimal solutions or LP is unbounded or is infeasible)? Why?
The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)
Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0
Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8
Set up the initial simplex tableau:
┌───┬───┬───┬───┬───┐
│ │ x₁ │ x₂ │ s₁ │ 1│
├───┼───┼───┼───┼───┤
│ 1│ 0.3│ 0.1│ 1 │1.8│
└───┴───┴───┴───┴───┘
```
Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).
Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.
The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.
To know more about solution visit:
https://brainly.com/question/30109489
#SPJ11
The correct answer is
0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal
this is from 7th grade
Answer:
3, 4
Step-by-step explanation:
The expanded form of the given product is found using the distributive property. An equivalent form can be found using the commutative property of multiplication.
__
7(2 -3n) = 7(2) +7(-3n) = 14 -21n . . . . . . . matches 3
Swapping the factors gives ...
7(2 -3n) = (2 -3n)·7 . . . . . . . . . . matches 4
__
About the other choices
1. The value is not the same as 14 -21n. It appears to have been the result of (more or less) adding 7 to the coefficients inside parentheses.
2. It is a common mistake to eliminate parentheses after applying the outside factor to the first term only. That seems to be what happened here. The distributive property says you apply the factor to all the terms inside parentheses.
5. The sum of terms (2 -3n) has been incorrectly replaced by the product of terms (2)(-3n).
Which numbers are a distance of 3.2 units from −4 on a number line? A number line with increments of .5 with a range of 0 to negative 7.5 Select each correct answer. −7.4 −7.2 −6.3 −4.2 −3.8 −0.8
Answer: The numbers on a distance of 3.2 units from −4 on a number line are -7.2 and - 0.8 .
Step-by-step explanation:
The numbers on a number line are from - infinity to + infinity whose center is at 0.Om left sides of 0 , there are negative integers and on the right side there are positive integers.
So, The numbers on a distance of 3.2 units from −4 on a number line are
-4 - 3.2 and -4+3.2
= - (4+3.2) and - (4-3.2)
= -7.2 and - 0.8
Hence, the numbers on a distance of 3.2 units from −4 on a number line are -7.2 and - 0.8 .
Answer:
−7.2 and −0.8
Step-by-step explanation:
Have a blessed day
Class A has 27 pupils and class B has 11 pupils.
Both classes sit the same maths test.
The mean score for class A is 26.
The mean score for both classes is 36.
What is the mean score (rounded to 2 DP) in the maths test for class B?
Answer:
10
Step-by-step explanation:
If there is 26 is in class a and altogether you get 36 you must take 26 from 36
What is a confidence interval? Choose the best description.
A range of probabilities, constructed with a sample, that describes where a population parameter will occur.
A range of values, created using a sample, within a population parameter that has a certain probability of occurring.
A range of values used to estimate where the sample statistic is likely to occur
Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.
Reason: E.g. P(a<x>b) = 0.95
confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.
A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.
Know more about Confidence intervals here: https://brainly.com/question/24131141
#SPJ4
Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.
Payoffs are as follows:
u1(s1,s2)=1−[s1 −(1/2)s2]^4
uA2(s1,sA2)=100−[sA2 −s1−1/4]^2
uB2 (s1,sB2 )=100−[sB2 −s1]^2.
Find a Bayes-Nash equilibrium of this game.
The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.
Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.
Payoffs are as follows:
u1(s1,s2)=1−[s1 −(1/2)s2]^4
uA2(s1,sA2)=100−[sA2 −s1−1/4]^2
uB2 (s1,sB2 )=100−[sB2 −s1]^2.
To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.
The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.
A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.
This is a refinement of the Nash equilibrium that takes into account the players' information about the game.
Learn more about Nash equilibrium at:
https://brainly.com/question/29398344
#SPJ11
The students at Midtown Middle school sold flowers as a fundraiser in September and
October. In
October, they charged $1.50 for each flower. The October price was a 20%
increase of the September price.
Part A
What was the price of the flowers
in September?
Enter your answer in the box.
L.25
Part B
The seventh-grade class earned 40% of the selling price of each flower.
In September, they sold 900 flowers.
In October, they sold 700 flowers.
Select a choice from each drop-down menu to make a true statement.
The seventh-grade class earned more money in September
by Choose one.
Help with part b pls
The price of flowers in September exists $1.25.
Total money released in October = $420.
The class gained more money in September and they gained $30 better than in October.
How to estimate the price of the flowers in September or October?Part A
Let the cost of flowers in September be x, then
(100 + 20)/100 \(*\) x = $1.50
120/100 \(*\) x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September exists $1.25
Part B
Total money released in September = $1.25 \(*\) 900 = $1,125
40% earned = 0.4 \(*\) $1,125 = $450
Total money released in October = $1.50 \(*\) 700 = $1,050
40% earned = 0.4 \(*\) $1,050 = $420
The class gained more money in September and they gained $30 better than in October.
To learn more about the value of x refer to:
https://brainly.com/question/1553142
#SPJ9
what is the first step when solving this equation for t?
31-12t = 211
A. combine 31-12
B. add 12 to both sides
C. add 31 to both sides sides
D. subtract 31 from both sides
Answer:
D. subtract 31 from both sides
you cant combine cuz theyre not like terms and you have to undo the constant number before you undo the second term in the equation so you will end up needing to do letter choice D first.
Step-by-step explanation:
hope this helped a little bit :)
======================================================
Explanation:
The expression 31-12t is the same as 31+(-12t). Adding a negative is the same as subtracting a positive.
Then we can flip the two terms getting -12t+31. This is because we can add two numbers in any order.
So we're effectively solving -12t+31 = 211
The first step is to subtract 31 from both sides to undo the +31. We follow PEMDAS in reverse to isolate the variable.
A playground slide is 14. 5 feet long with an 8. 5-foot tall ladder. A playground slide is 14. 5 feet long and has an 8. 5 foot tall ladder. The angle formed by the ladder with the ground is 90 degrees. The angle formed by the slide with the ground is x. What is the measure of the angle that the slide makes with the ground, x, to the nearest degree?.
The angle made by the slide of length 14.5 ft with the ground is 36°
The length of the slide = 14.5ft
The length of the ladder = 8.5 ft
The angle made by the ladder and ground = 90°
The angle formed by the slide can be found using the Pythagoras theorm,
sinθ = O / H
where θ is the angle made by the slide
O is the side opposite to the angle of the slide
H is the side that is hypotenuse with the slide
Let us rearrange the above equation in order to get the angle of the slide,
θ = sin⁻¹ (O/H)
Let us substitute the known values in the above equation, we get
θ = sin⁻¹ (8.5 / 14.5)
= sin⁻¹ (0.586)
≈ 36°
Thus, the angle of the slide is 36°
Learn more about the Pythagoras theorm in
https://brainly.com/question/12919358
#SPJ4
Brody and his children
Went into a movie theater and he bought 44. T0 worth of drinks and pretzels. Each drink costs $6 abd each pretzel costs $3. 25 he bought a total of 12 drinks and pretzels all together
Brody bought 2 drinks and 10 pretzels. Let's use algebra to solve this problem. Let d be the number of drinks that Brody bought, and let p be the number of pretzels that he bought. We know that he bought a total of 12 drinks and pretzels, so:
d + p = 12
We also know that each drink costs $6 and each pretzel costs $3.25, and he spent a total of $44.10 on drinks and pretzels. So:
6d + 3.25p = 44.10
We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for p:
p = 12 - d
Substituting this into the second equation, we get:
6d + 3.25(12 - d) = 44.10
Simplifying:
6d + 39 - 3.25d = 44.10
2.75d = 5.10
d = 1.85 (rounded to two decimal places)
Since d represents the number of drinks, we can't have a fractional value for it. However, we can round it to the nearest whole number and use that to solve for p:
d ≈ 2
p = 12 - d = 12 - 2 = 10
Therefore, Brody bought 2 drinks and 10 pretzels. We can check that this solution satisfies both equations:
2 + 10 = 12 (first equation)
6(2) + 3.25(10) = 44.10 (second equation)
Therefore, our solution is correct
To know more about number of pretzels click here:
brainly.com/question/15303166
#SPJ4
Brody and his children went into a movie theater and he bought $44.50 worth
of drinks and pretzels. Each drink costs $6 and each pretzel costs $3.25. He
bought a total of 12 drinks and pretzels altogether. Determine the number of
drinks and the number of pretzels that Brody bought
What's the answer
\(4x {5}^{?} \)
Answer:
Step-by-step explanation:
What's the question ?
Find the product. 5(-3)=
Answer:
-15
Step-by-step explanation:
-15
Solution:A positive number times a negative number is a negative number.The product of 2 numbers means we multiply these numbers.Therefore, the product of 5 and -3 is-15Hope it helps.
Do comment if you have any query.
what is the confidence coefficient when the level of significance is 0.03? A. 0.0376
B. 0.7924
C. 0.9700
D. 0.7776
In thsi question, the confidence coefficient when the level of significance is 0.03 is C. 0.9700.
In statistics, the confidence coefficient is the complement of the level of significance (α) used in hypothesis testing. The confidence coefficient represents the confidence level or the degree of certainty associated with a confidence interval.
The level of significance, denoted by α, is the probability of rejecting the null hypothesis when it is true. It is typically chosen before conducting a statistical test and determines the critical value or the cutoff point for decision-making.
To find the confidence coefficient, we subtract the level of significance from 1. In this case, the level of significance is 0.03. Subtracting 0.03 from 1 gives us a confidence coefficient of 0.97, which can be written as 0.9700 when rounded to four decimal places.
Therefore, the correct answer is C. 0.9700, which represents the confidence coefficient when the level of significance is 0.03.
Learn more about confidence coefficient here:
brainly.com/question/28545662
#SPJ11
classify the quadrilateral by its most specific name. then find the missing angle measure(s)
The specific name of the quadrilateral is kite
The measures of the missing angles are 75 degrees each
How to determine the quadrilateralTo determine the measure of the angle, we need to know the different properties of a kite.
The properties of a kite includes;
Two pairs of adjacent sides are equal.Two diagonals intersect each other at right angles.The longer diagonal bisects the shorter diagonal.The angles opposite to the main diagonal are equal.Since the adjacent angles are equal, we have that;
105+ x = 180
collect the like terms, we have;
x = 180 - 105
x = 75 degrees
Learn more about kites at: https://brainly.com/question/20597161
#SPJ1
The quadrilateral is a kite and the missing angles are 105° and 45°
What is a kite?A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
A kite has a pair of equal angle and the diagonals of a kite meets at 90°.
In a kite , there are two pairs of congruent or equal sides.
This means that the missing angles are
The opposite angle to 105 is also 105°
The fourth angle is calculated as;
105+105+105+x = 360
= 315 +x = 360
x = 360- 315
x = 45°
Therefore the quadrilateral is a kite and the missing angles are 105° and 45°
learn more about kite from
https://brainly.com/question/26870235
#SPJ1
your statistics class has 26 students in it what is the probability that both students are girls given that the second student chosen is a girl
Given that the second student chosen is a girl, the probability that both students are female is 0.175.
The occurrence of likely events is referred to as probability. It is the branch of mathematics concerned with numerical estimates of the likelihood of an event occurring or a statement being true.
Probability is nothing but likelihood of something is to occur. When we are unsure about the outcome of an event, we can discuss the probabilities of certain outcomes—how likely they are.
The probability of selecting a girl from the class is
\(= \frac{Number\ of\ girls}{ Total\ number\ of\ students}= \frac{14}{26}\\\\= \frac{7}{13}\)
It is known that the one of the chosen student from 2 students is girl, the probability of having both girls will be:
\(= \frac{7}{16} * \frac{6}{15}\\\\= 0.175\)
Hence, the probability is 0.175.
To learn more about probability refer here
https://brainly.com/question/11234923
#SPJ4
Your question is incomplete, here is the complete question.
Your statistics class has 26 students in it - 14 girls and 12 boys.Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?
PLEASE ANSWER CORRECTLY FOR BRAINLIEST:
25.
26.
27.
29.
Answer:
x = 6
Step-by-step explanation:
5 (x - 3) + 2 = 5 (2x - 8) - 3
remove the parenteses
5x - 15 + 2 = 10x - 40 - 3
calculate5x - 13 = 10x - 43
move the terms5x - 10x = -43 + 13
collect like terms calculate-5x = -30
divide both sidesSolution
x = 6
Using the analemma, calculate the approximate noon Sun angle at 41 ∘
N latitude (on Long Island) February 14th. Choose the correct answer below. a. 14 ∘
b. 23.5 ∘
c. 35 ∘
d. 41 ∘
e. 90 ∘
The approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°. None of the provided answer choices match the correct answer.
To calculate the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th, we can use the analemma.
The analemma is a figure-8 shaped curve that represents the position of the Sun in the sky at the same time each day over the course of a year. It accounts for the Earth's axial tilt and elliptical orbit around the Sun.
To find the approximate noon Sun angle, we need to consider the declination of the Sun on February 14th and the latitude of Long Island.
On February 14th, the Sun's declination is approximately -12°.
The Sun angle at noon can be calculated using the following formula:
Sun angle = 90° - (latitude - declination)
Substituting the values, we have:
Sun angle = 90° - (41° - (-12°))
Simplifying this equation, we get:
Sun angle = 90° - 41° + 12°
Sun angle = 61°
Therefore, the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°.
None of the provided answer choices match the correct answer.
Know more about elliptical orbit here:
https://brainly.com/question/31868148
#SPJ11
A b c or d for Brainiest answer
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A (-2, 5)
Step-by-step explanation:
The attached shows the rectangle and the offered points. The point not on the rectangle is A(-2, 5).
__
If we examine the coordinates, we see that the y-values must be -2 or 3 for a point to be on the rectangle. Similarly, the x-values must be -2 or 5.
The offered point A has an appropriate x-value, but not an appropriate y-value. Point A is not on the rectangle.
What percentage is 18 out of 22
Answer:
81.8181
Step-by-step explanation:
.......................
81.82% is the percentage of number 18 out of 22.
To find the percentage that 18 represents out of 22, you can use the following formula:
(18 / 22) × 100
Calculating this equation:
(18 / 22) × 100
1800/22
= 81.82
Therefore, 18 is approximately 81.82% of 22.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ6
Mercury has a mass of 3.30 * 10 23 kg.
Mars has a mass of 6.42 x 10 23 kg.
How many times more massive is Mars than Mercury?
51x 10 23 kg
51
1.95 10 23 kg
1.95
Answer:
Option (4)
Step-by-step explanation:
Mass of Mercury = 3.3 × \(10^{23}\) kg
Mass of Mars = 6.42 × \(10^{23}\) kg
Therefore, ratio of the masses of Mars and Mercury = \(\frac{6.42\times 10^{23} }{3.30\times 10^{23}}\)
= 1.95
\(\frac{\text{Mass of Mars}}{\text{Mass of mercury}}=1.95\)
Mass of Mars = 1.95 × (Mass of Mercury)
Therefore, mass of Mars is .95 times more than Mercury.
Option (4) will be the answer.
PLEASE HELP I DONT KNOW HOW TO DO THIS
Answer:
step by step
Step-by-step explanation:
where
r = radius
h= height
Area of a cylinder = 2πrh+2πr^2
Area of a cylinder = 2π8(3)+2π8^2
Area of a cylinder = 176π = 552.92
Area of a hemisphere= 3r2π
Area of a hemisphere= 3(2)2π
Area of a hemisphere= 12π = 37.699111843
Area of the cylinder in this problem
176π - 12π = 164π
A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
Step-by-step explanation:
(3.1415 * 10^2) area of base
(17) height
volume = area of base * height
volume = 3.1415 * 10^2 * 17
The volume of the cylinder is 533.8 cubic inches to the nearest tenths place
Volume of Cylinder based problem:What information do we have?
Diameter of cylinder = 20 inch
Height of cylinder = 17 inch
Volume of Cylinder = πr²h
Volume of Cylinder = (3.14)(20/2)²(17)
Volume of Cylinder = (3.14)(10)(17)
Find out more information about 'Cylinder'.
https://brainly.com/question/3216899?referrer=searchResults
Plssssss asap it is due soon
For the given system of equations, the answers are of the given choices (A), (B) and (D).
What exactly is an equation system?A group of two or more equations with shared variables is referred to as a system of linear equations. Finding the value of the unknown variables employed in the equations that must satisfy both equations is necessary to solve a system of equations.
Given equations are -
y - 10 = 2x ⇒ y = 2x + 10
1/2y = x + 5 ⇒ y = 2x + 10
We can observe from the equation, that both the lines are same,
So any pair of values (x, y) that satisfy the equation y = 2x + 10 is a solution to the system. For example:
(0, 10) is a solution, since y = 2(0) + 10 = 10 and (1/2).10 = 0 + 5 =
(1, 12) is a solution, since y = 2(1) + 10 = 12 and (1/2).12 = 6 = 1 + 5
(2, -6) is a not solution, since y = 2(2) + 10 = 14 and (1/2)(-6) = 7 = 2 + 5
(-5, 0) is a solution, since y = 2(-5) + 10 = 0 and (1/2)(0) = 0
Therefore, the answer is of the given choices are (A), (B), (D).
To learn more about the system of equations visit,
brainly.com/question/25976025
#SPJ1