Answer:
sas - meaning side angle side
Step-by-step explanation:
write a slope equation for slope=-8/7; (-3,1)
The Solution.
Step 1:
We shall state the formula for a slope-intercept equation.
\(y=m(x-x_1)\)\(\begin{gathered} \text{Where m = slope = }\frac{8}{7} \\ x_1=-3\text{ (the value of x in the given point coordinate)} \end{gathered}\)Step 2:
We shall substitute for the values of the parameters in the formula above.
\(\begin{gathered} y=\frac{8}{7}(x--3) \\ \\ y=\frac{8}{7}(x+3) \\ \text{Cross multiplying, we get} \\ 7y=8(x+3) \\ 7y=8x+24 \end{gathered}\)Step 3:
Presentation of the Answer.
The correct answer is 7y = 8x + 24
PLEASE HELP I WILL GIVE 100 POINTS!
order the numbers from least to greatest pi, -3, sqrt 49 , sqrt 9
The order of the numbers from least to greatest (pi, -3, sqrt 49 , sqrt 9) is -3.00 < sqrt 9 < pi < sqrt 9
How can the number be arranged?The concept that will be used here is ordering. When you put a list of numbers in order, you rank them from least to greatest or greatest to least. An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.
The given numbers can be converted to decimals so as to be able to arange them in the required order which can be done as :
pi= 3.147= 3.15
-3= -3.00
sqrt 49=7.00
sqrt 9 =3.00
Therefore,-3.00 < sqrt 9 < pi < sqrt 9
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9/4 divided by 3/8 with quotient
Answer:hey hunny boo it’s 61!✨ hope I helped :)
Step-by-step explanation:
The quotient of the given fractions is 6.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, 9/4 divided by 3/8.
When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction reversing its numerator and denominator is the first step in dividing fractions. Multiply the two numerators after that. Multiply the two denominators after that.
Here, 9/4 ÷ 3/8
= 9/4 × 8/3
= 3 × 2
= 6
Therefore, the quotient is 6.
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Determine the value of y, if x is 4.
y= | x - 7 |
Answer: y = 3
Step-by-step explanation:
The circumference of a circle is 32 cm which is the closest to the diameter
Given:
The circumference of a circle is 32 cm.
To find:
The diameter of the circle.
Solution:
We know that, circumference of a circle is
\(C=2\pi r\)
It can be written as
\(C=\pi d\) \([\because d=2r]\)
Where, r is the radius of the circle and d is the diameter of the circle.
The circumference of a circle is 32 cm.
\(32=\pi d\)
\(\dfrac{32}{\pi}=d\)
\(\dfrac{32}{3.14}=d\)
\(d\approx 10.19\)
Therefore, the diameter of the circle is about 10.19 cm.
pls someone help me quick i need to get this done quick
Answer:
-13$
pls mark me as BRAINLIEST
Please help me, and show all work
The x-intercepts of the graph of the function are (-2, 0), (5, 0)
The midpoint of the x-intercept is 1.5.
The extremum of the function is a minimum and the value of x at which it occurs is k(1.5) = -61.25.
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
In this exercise, we would use an online graphing calculator to plot the quadratic equation in order to determine the x-intercepts as shown in the graph attached below.
Therefore, the x-intercepts of the graph of the given quadratic equation k(x) = 5x² - 15x - 50 including the following:
x = (-2, 0).x = (5, 0).Since a line of symmetry must lie in the middle of the x-intercepts, the symmetry is given by;
x = (-2 + 5)/2
x = 3/2
x = 1.5
For the extremum, we have;
k(1.5) = 5(1.5)² - 15(1.5) - 50
k(1.5) = 11.25 - 22.5 - 50
k(1.5) = -61.25
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Wang Xiu Ying is gift wrapping boxes in the shape of a cube for her class fundraiser. She calculates that the surface area, S SS, in square feet, of a cube-shaped box with a side of m mm feet is given by the function S ( m ) = 6 m 2 S(m)=6m 2 S, left parenthesis, m, right parenthesis, equals, 6, m, squared. She also finds that the cost, C CC, in dollars, of wrapping a box with a surface area of x xx square feet is given by the function C ( x ) = 0.15 x + 0.25 C(x)=0.15x+0.25C, left parenthesis, x, right parenthesis, equals, 0, point, 15, x, plus, 0, point, 25. Find an explicit expression that models the costs of wrapping a cube shaped box with a side length of m mm feet.
Answer:
\(C(m)=0.9m^2+0.25\)
Step-by-step explanation:
The surface area of a cube-shaped box with a side of m feet is given by the function:
\(S(m)=6m^2\)
The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:
\(C ( x ) = 0.15 x + 0.25\)
We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.
In the cost function, C(x), x is the surface area, therefore:
\(S(m)=x;$ and$\\C ( S(m) ) = 0.15(6m^2) + 0.25\\C(m)=0.9m^2+0.25\)
To find the cost of wrapping a cube of side length m feet, we use the explicit function:
\(C(m)=0.9m^2+0.25\)
A person is lying on a diving board 2.50 m above the surface of the water in a swimming pool. She looks at a penny that is on the bottom of the pool directly below her. To her, the penny appears to be a distance of 8.00 m from her. Part A What is the depth of the water at this point
The depth of the water at the point where the person is lying on the diving board can be determined using the given information: the person is 2.50 m above the surface of the water, and the apparent distance from the person to the penny on the bottom of the pool is 8.00 m.
To find the depth of the water, we can use the concept of apparent depth and the principles of geometric optics. Apparent depth refers to how an object appears to be at a different position due to the refraction of light when it travels from one medium (air) to another medium (water) of different refractive indices.
The formula for apparent depth is given by: Apparent depth = Actual depth / Refractive index
In this case, the apparent distance from the person to the penny is 8.00 m, which corresponds to the apparent depth. The actual depth is the distance from the surface of the water to the bottom of the pool, which we need to determine. The refractive index of water is approximately 1.33.
Plugging the values into the formula, we can solve for the actual depth:
8.00 m = Actual depth / 1.33
Rearranging the equation and solving for the actual depth:
Actual depth = 8.00 m × 1.33 ≈ 10.64 m
Therefore, the depth of the water at the point where the person is lying on the diving board is approximately 10.64 m.
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A person starts walking from home and walks:____.
a. 5 miles east
b. 6 miles southeast
c. 6 miles south
d. 7 miles southwest
e. 4 miles east
The person has walked a total of 28 miles. To calculate total distance walked by the person, we add up the distances in each direction
5 miles East + 6 miles Southeast + 6 miles South + 7 miles Southwest + 4 miles East
When we add these distances together, we get:
5 + 6 + 6 + 7 + 4 = 28
Therefore, the person has walked a total of 28 miles.
In more detail, let's break down the distances walked in each direction:
- 5 miles East: This means the person walked 5 miles in the East direction.
- 6 miles Southeast: This means the person walked 6 miles in the direction that is both South and East.
- 6 miles South: This means the person walked 6 miles in the South direction.
- 7 miles Southwest: This means the person walked 7 miles in the direction that is both South and West.
- 4 miles East: This means the person walked 4 miles in the East direction.
By adding up these distances, we find that the person has walked a total of 28 miles.
#A person starts walking from home and walks: 5 miles East 6 miles Southeast 6 miles South 7 miles Southwest 4 miles East This person has walked a total of ---miles
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A 6-sided die is rolled. What is the probability of rolling a number that is even and a 3?.
This is because the value 3 is not even, so it's impossible to roll 3 and an even number at the same time on the same die.
write each decimsl as a mixed number in its simplest form.
3.6 10.4 1.5 5.10
video if 10% of the students in a certain school are left-handed, what is the probability that 2 or fewer students are left-handed in a random sample of 70 students from the school? use excel to find the probability. round your answer to four decimal places.
Using Excel, the probability that 2 or fewer students are left-handed in a random sample of 70 students from a school where 10% of the students are left-handed can be calculated as approximately 0.9999.
To calculate the probability using Excel, we can utilize the binomial distribution function. The binomial distribution is appropriate for situations with a fixed number of independent trials (sampling 70 students) and two possible outcomes (left-handed or not left-handed).
In Excel, the formula to calculate the probability of 2 or fewer left-handed students can be written as "=BINOM.DIST(2, 70, 0.1, TRUE)". Here, "2" represents the number of left-handed students (or fewer) we want to calculate the probability for, "70" is the total number of students in the sample, and "0.1" is the probability of a student being left-handed (10% or 0.10).
Evaluating this formula in Excel yields a probability of approximately 0.9999 when rounded to four decimal places. This implies that there is an extremely high probability (close to 100%) of having 2 or fewer left-handed students in a random sample of 70 students from the school, given that the overall proportion of left-handed students in the school is 10%.
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PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!
if y=28 when x= 168, find y when x =108.
Answer: oke we give y=a*x
Step-by-step explanation:a=\(\frac{1}{6}\)
\(\frac{y}{108}\)=\(\frac{1}{6}\)
=>y =18
CAN ANYONE DO IT. PLZ
Answer:
70°Step-by-step explanation:
see image below
Answer:
10 is your answer.
Step-by-step explanation:
pls give me brainlest
If the present value of an item is P
and we experience an inflation rate
of r for t years, what will the future
value of the item be?
P = $300,000
r = 7% t = 30
PLEASE HURRY
The future value of the item will be $2283676.
Define simple interest.Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest. Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given,
P = $300,000
r = 7%
t = 30
Using simple interest:
P(1+r)^t
300000(1+ 0.07)^30
2283676
The future value of the item will be $2283676.
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find the missing side
C=
Answer:
C = 10
Step-by-step explanation:
\(A^{2}\) + \(B^{2}\) = \(C^{2}\)
\(6^{2}\) + \(8^{2}\) = 100
\(\sqrt{100}\) = 10
Ileana received a statement on her certificate of deposit showing that her investment had returned $5,084 over its life. if the certificate of deposit pays a simple interest rate of 4.1% and her initial investment was $15,500, how long had the money been invested? please help me! i'm dying!
Ileana have to invest for 8 years :
What is Simple interest?Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.
How do you calculate simple interest?The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.
Given Data:Principal amount = $15,500
interest = $5,084
Time = ?
Rate = 4.1% simple interest
Solution:to find the simple interest :
I = \(\frac{(p*t*r)}{100}\)
Then:
Time = \(\frac{I*100}{P*R}\)
= \(\frac{(5084*100)}{(15500*4.1)}\)
= \(\frac{508400}{63,550}\)
= 8 years
Ileana have to invest for 8 years
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You roll a 6-sided die two times.What is the probability of rolling a prime number and then rolling a prime number?
The probability of rolling a prime number and then rolling a prime number is:
= 2/5
Since, There are four prime numbers on a 6-sided die, which are 2, 3, 5, and 7.
So the probability of rolling a prime number on the first roll is,
= 4/6
= 2/3.
Assuming that the first roll was a prime number, there are now only five possible outcomes on the second roll, since we cannot roll the same number twice.
Of those, three are prime numbers, which are 2, 3, and 5.
So the probability of rolling a prime number on the second roll given that the first roll was a prime number is 3/5.
Hence, the probability of rolling a prime number and then rolling a prime number, we need to multiply the probability of rolling a prime number on the first roll (2/3) by the probability of rolling a prime number on the second roll given that the first roll was a prime number (3/5).
So, the probability of rolling a prime number and then rolling a prime number is:
= (2/3) x (3/5)
= 6/15
= 2/5
= 0.4.
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On a leveled ground, the base of a tree is 20m far from bottom of a 4. 8m long flagpole. At a certain time, their shadows end at the same point, which is 60m far from the base of the flagpole. Find the height of the tree
The height of the tree is 6.4m
the difference is that in one case the shadow of the tree is 60 - 20 = 40 m, and in the other case it is 60 + 20 = 80 m long.
anyway, for a certain angle of the sunlight we know the shadow of the pole is 60 m long, which creates with the 4.8 m height a right-angled triangle, with the line of sight from the top of the pole to the ground end of the shadow being the Hypotenuse or radius for or trigonometric triangle in a circle.
the shadow length (60 m) is sine of the sunshine angle multiplied by the radius.
the height (4.8 m) is cosine of that sunshine angle multiplied also by that radius.
Pythagoras gets us the radius for the pole triangle :
radius² = 60² + 4.8² = 3600 + 23.04 = 3623.04
radius = sqrt(3623.04) = 60.19169378... m
sin(angle) × radius = 60
sin(angle) = 60/radius = 0.996815279...
angle = 85.42607874...°
the sunshine creates with the tree also a right-angled triangle with the same sunshine angle (the sun is so far away, that the tiny, tiny difference is irrelevant, we can simply assume the angles are equal).
but the shadow is of different length (sin(angle)×radius), which means also the radius for the tree triangle has to be different. and that defines the height of the tree (cos(angle)×radius).
but now we know the angle, and we can reverse calculate the side lengths.
but the question is (as mentioned at the beginning) : is the tree shadow 40 m or 80 m long.
we have therefore 2 solutions for the height of the tree.
1. the shadow is 40 m long.
sin(angle) × radius = 40
radius = 40/sin(angle) = 40.12779585... m
tree height = cos(angle)×radius = 3.2 m
2. the shadow is 80 m long.
sin(angle) × radius = 80
radius = 80/sin(angle) = 80.25559171... m
tree height = cos(angle)×radius = 6.4 m
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Daniela scored
101
101101 points in
5
55 basketball games. Casey scored
154
154154 points in
8
88 games. Hope scored
132
132132 points in
7
77 games.
Casey tried to order the players by their points per game from least to greatest, but he made a mistake. Here's his work:
Hope, Casey, and Daniela are the players in order from lowest to highest points per game average.
To find the points per game for each player, we can divide their total points by the number of games they played:
Casey: 154 points ÷ 8 games = 19.25 points per game
Hope: 132 points ÷ 7 games = 18.86 points per game
Daniela: 101 points ÷ 5 games = 20.2 points per game
Casey mistakenly ordered the players as follows: Hope, Casey, and then Hope. This ordering is incorrect because Casey had a higher point-per-game average than Hope.
The correct ordering from least to greatest points per game average is: Hope, Casey, and then Daniela.
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Complete question:
Daniela scored
101 points in 5 basketball games. Casey scored 154 points in 8 games. Hope scored 132 points in 7 games. Casey tried to order the players by their points per game from least to greatest, but he made a mistake. Here's his work:
What is the measure of space inside a suitcase?
Answer:
Linear inches
Step-by-step explanation:
or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.
Answer:
These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.
Step-by-step explanation:Brainliest
help me pls!!
find x and y
y= -3x=-19
5x+8y=0
Answer:
x= -8; y= 5
Step-by-step explanation:
5x + 8 ( -3x -19) =0
5x -24x -152 =0
5x -24x= 152
-19x = 152
x= -8
y= -3x -19
y= -3(-8) -19
y= 5
5x + 8y = 0
5(-8) + 8(5) =0
-40 + 40 = 0
The equation w/4 + 16 = 7 is solved in several steps below.
For each step, choose the reason that best justifies it.
the solution w = -36 is correct
The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:
Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.
Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.
Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.
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WRAP-UP Menu Subtracting Fractions . please help
Answer:
5/24 more
Step-by-step explanation:
1/3 turns into 8/24
and
1/8 turns into 3/24
so eric has read 5/24 more
Answer:
5/24
Step-by-step explanation:
1/8×3=3/24
1/3×8=8/24
8/24-3/24=5/24.
Suppose lnx-lny=y-4, where y is a differentiable function of x and y=4 when x=4. What is the value of dy/dx when x=4?A. 1/3
B. 1/5
C. 1/4
D. 1/6
Suppose lnx - lny = y-4 and y is a differentiable function of x. The value of dy/dx when x=4 is 1/4.
To find the value of dy/dx, we can use the given equation and the ln formula to differentiate both sides with respect to x. This will give us:
lnx-lny = y-4
d/dx(lnx-lny) = d/dx(y-4)
1/x-1/y (dy/dx) = dy/dx
(1/x-1/y) dy/dx = 0
dy/dx=(1/x)/(1/y)
dy/dx=y/x
Since we are given that y=4 when x=4, we can substitute these values into the equation to find the value of dy/dx when x=4:
dy/dx=4/4
dy/dx=1/4
Therefore, the value of dy/dx when x=4 is 1/4.
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write x≤58 in interval notation.
The x ≤ 58 in interval notation = (-∞, 58]
In this question, we have been given an inequality x ≤ 58
We need to write given inequality in interval notation form.
We know that, an interval notation a way to describe a subset of real numbers by the numbers that bound them.
If we draw given inequality on the number line, then it would be as shown below.
x ≤ 58 represents that, x takes all values which are less than or equal to 58.
So, the interval notation would be (-∞, 58]
Therefore, the x ≤ 58 in interval notation = (-∞, 58]
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A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as P = 0.006 A2 0.02 A + 120. Find the age of a man whose normal blood pressure measures 123 mmHg. Round your answer to the nearest year.
P = 0.006 A^2 - 0.02 A + 120
Where:
P = blood pressure
A = age
Replace P by 123 and solve for A
123 = 0.006 A^2 - 0.02 A + 120
0 = 0.006 A^2 - 0.02 A + 120 -123
0= 0.006 A^2 - 0.02 A - 3
The equation is in the form:
Ax^2+ b x + c
Where:
a = 0.006
b= -0.02
C= -3
Apply the quadratic formula:
\(\frac{-b\pm\sqrt[]{b^2-4\cdot a\cdot c}}{2\cdot a}\)Replace:
\(\frac{-(-0.02)\pm\sqrt[]{(-0.02)^2-4\cdot0.006\cdot-3}}{2\cdot0.006}\)\(\frac{0.02\pm\sqrt[]{0.0004+0.072}}{0.012}\)\(\frac{0.02\pm0.26907248}{0.012}\)Positive:
(0.02+0.26907248) /0.012 = 24.1 years
Negative:
(0.02-0.026907248) /0.012 = -0.57
Since age can't be negative the answer is 24.1 years old
Your quiz grades are 98, 82, 89, and 94. What score on the fifth quiz will make your average quiz grade at least 90?
Answer:
You have to find the mean of all of the numbers.
Step-by-step explanation:
You have to add 98, 82, 89, and 94 together and then divide it by 90 to find your answer.
Hope this helped
find shaded area when r = 14 cm, theta = 104
Answer:
more details needed
Step-by-step explanation: