Answer:
its 2/3
Step-by-step explanation:
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
Express using algebra. If the width of a rectangle with perimeter P is 6 units, what is its length?
Answer:
(P/2)-6
because its is perimeter you need to add the sides so the answer is (P/2)-6
Plot -7/5 and it's opposite on a number line
Answer: find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5
Step-by-step explanation:
find zero on the number line then put a dot on -7/5 (-1 2/5) then do the same on positive 7/5 (1 2/5 . I think that is correct sorry if it isnt.
Step-by-step explanation:
Find the missing side.
Answer:
B: 19.3
Step-by-step explanation:
Mark brainliest
Answer:
19.3
Step-by-step explanation:
Evaluate the expression x+43x when x = 2
a.316
b.34
c.1
d.2
Answer:
88
Step-by-step explanation:
We are given the expression:
x+43x
and asked to evaluate when x=2. Therefore, we must substitute 2 in for x.
x + 43 x (plug 2 in for each x )
2+43(2)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Multiply 43 and 2 first.
2+ (43*2)
2+ 86
Add 2 and 86.
88
The expression x+43x when evaluated for x=2 is 88.
Answer:
1
Step-by-step explanation:
The perimeter of the shape is 44 feet. What is the length of the missing
=============================================================
Explanation:
The perimeter is the amount of fencing needed to enclose this trapezoid.
The known sides of the figure add to 11+6+11 = 17+11 = 28 feet
The entire peimeter is 44 feet, which means 44-28 = 16 feet are needed along the bottom side.
---------------
If you want to involve algebra, then let x be the missing side
side1+side2+side3+side4 = perimeter
x+11+6+11 = 44
x+28 = 44
x = 44-28
x = 16
A tree grows 20 centimeters per year. Complete the table to determine the height of the tree after it has grown for 1, 2, 3, and 4 years.
Please Help!! (brainliest fr best answer)
1. What is the measure of ∠E? Explain how you know.
2. Describe the relationship between ∠E and ∠K. What is the measure of ∠K?
(image below)
1. The measure of ∠E = 135°. 2. Angles ∠E and ∠K are alternate exterior angles, and the measure of ∠K = 135°
What is the Exterior Angle?An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.
The figure is given in the question, as shown.
Since we have a regular octagon that has :
∠I = 45° = ∠G = 45°
Here ∠G + ∠H = 90° (complementary angles)
45° + ∠H = 90°
∠H = 45°
So ∠H + ∠E = 180° (supplementary angles)
45° + ∠E = 180°
∠E = 135°
2. Here the relationship between angles ∠E and ∠K is that they are alternate exterior angles.
So the measure of ∠K = 135°
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The missing figure has been attached below.
hi i really need help with my geometry please
Answer:
Step-by-step explanation:
since the base angles of a triangle are equal the given triangle an isosceles triangles.
therefore side x is also 9 because the two sides of an isosceles triangle is equal.
Now for side y
using pythagoras theorem
a^2 + b^2 = c^2
9^2 + 9^2 =y^2
81 + 81 = y^2
162 = y^2
\(\sqrt{162}\) = y
\(9\sqrt{2}\) =y
Use the diagram below to answer the questions about the Law of Cosines.
Based on the Law of Cosines; it was proven that:
cos Θ = x/acos (180 - C) = x/aa² + b² + 2bx = c²Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.
Based on the unshaded triangle, we can find that:
cos Θ = x/a
Next, we will prove that: cos (180 - C) = x/a
Remember that:
cos (A + B) = cos A cos B - sin A sin B
Law of Cosines: c² = a² + b² - 2ab. cos C
cos C = - [c² - (a² + b²)] /2ab ... (i)
Then:
cos Θ = cos (180 - C)
cos (180 - C) = cos 180 . cos C - sin 180 . sin C
We subtitute equation (i):
cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C
cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)
If we focus on the unshaded triangle, we can find an equation of a, where:
a² = h² + x² ... (iii)
And if we combine both triangle into a giant triangle, we can make another equation of c. where:
c² = (x + b)² + h² ... (iv)
We will subtitute equation (iv) into equation (ii):
cos (180 - C) = [c² - (a² + b²)]/ 2ab
cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab
cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)
We subtitute equation (iii) into equation (v):
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab
cos (180 - C) = [a² + 2bx - a²] / 2ab
cos (180 - C) = 2bx / 2ab
cos (180 - C) = x/a --> PROVEN!
Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.
We know that:
a² + b² - 2ab cos C = c²
c² = (x + b)² + h²
We will try to find the value of cos C:
a² + b² - 2ab cos C = (x + b)² + h²
a² + b² - 2ab cos C = x² + b² + 2bx + h²
a² - 2ab cos C = a² + 2bx
- 2 ab cos C = 2bx
cos C = - x/a
We will subtitute the value of cos C under the Law of Cosines:
c² = a² + b² - 2ab cos C
c² = a² + b² - 2ab (- x/a)
c² = a² + b² + 2bx --> PROVEN!
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-k+4(k+1)=2k what is does k=
Answer:
k=-4
Step-by-step explanation:
brainliest plzzz its the crown
The Variance Inflationary Factor (VIF) measures the: a. correlation of the X variables with the Y variable. b. correlation of the X variables with each other. c. standard deviation of the slope. d. contribution of each X variable with the Y variable after all other X variables are included in the model. e. both a and b.
The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the
How much of an inflation variance factor is there?Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.
How high of a VIF is that?Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.
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20 points !!
Alexis has the following grades in his math class:
Homework grades: 76, 82, 85
Quiz grades: 74, 80, 80
Test Grades: 60, 68
If the teacher weights homework at 10%, Quizzes at 20%, Tests at 60%, what is her current class average? Please be careful with this one the categories don’t sum to 100% because she hasn’t taken her final exam yet.
Question 5 options:
a) 81
b) 76
c) 69
d) 72
Answer:
C
Step-by-step explanation:
First we need to find the average in every section, such as the Hw, quiz and tests.
(76+82+85)/3=81 Hw
(74+80+80)/3=78 quiz
(60+68)/2=64 test
Hw is weighted at 10% so it is 81×1=81.
Quizzes are weighted at 20% so 78×2=156
Tests are weighted at 60% so 64×6=384.
Add them all up then divide them by 9,
(81+156+384)/9= 69%
round 5,565 to the hundreds
Answer:
5,600
Step-by-step explanation:
rounding by the nearest hundred would mean rounding up or down in the hundreds based off of thr tens. If the tens are above 50, you round up. if they are below 50, you round down
Answer:
The hundred place here is the the 2nd 5 to the left.
Rounding is when it’s 5 or above you go up, 4 or below you stay.
So 5565
In this case we look at the tenth place number which is 6 and since it’s 5 or above the hundreths place “5” goes up 1. Everything else below under th place turns 0.
So
5,600
the effectiveness of a blood-pressure drug is being investigated. an experimenter finds that, on average, the reduction in systolic blood pressure is 55.9 for a sample of size 29 and standard deviation 7.4. estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). assume the data is from a normally distributed population.
The tri-linear inequality with the required 80% confidence interval of 54.1 to 57.7 shows the genuine mean value by which the drug decreases the average patient's systolic blood pressure.
A confidence interval expresses the likelihood that a population parameter will fall between a range of values a predetermined percentage of the time. It is the estimate's mean plus or minus the estimate's range of values.
Given the confidence level is 80%, the significance level α=100-80=20% = 0.20. The sample mean \(\overline{x}\) is 55.9, the sample standard deviation s is 7.4, and the sample size n is 29.
We are using t-distribution to population standard deviation first. For that first find the degree of freedom and critical value of t.
Degree of freedom,
df = n - 1
df = 29 - 1
df = 28.
The critical value of t calculated from the t-distribution table is,
\(\begin{aligned}t_{\text{critical}}&=t_{\alpha/2,df}\\&=t_{0.10,28}\\&=\pm1.3125 \end{aligned}\)
Then, an 80% confidence interval is,
\(\begin{aligned}\mu&=\overline{x}\pm\frac{t\cdot s}{\sqrt{n}}\\&=55.9\pm\frac{1.3125\times7.4}{\sqrt{29}}\\&=55.9\pm1.80\end{aligned}\)
Then, the interval is written as
55.9 - 1.80 < μ < 55.9 + 1.80
54.1 < μ < 57.7
The required interval is 54.1 < μ < 57.7.
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In the diagram, m∠1=45° and m∠3=57.5°.
What is m∠4?
Enter your answer as a decimal in the box.
Check the picture below.
A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
Answer:
The probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%
Step-by-step explanation:
Number of red marbles = 4
Number of blue marbles = 8
Number of Green marbles = 2
Total number of marbles = 4+8+2 =14
We need to find the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
The formula used will be: \(Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\)
In our case, Number of favourable outcomes = 4 (as red marbles are drawn)
Number of possible outcome = 14 (Total number of marbles)
The probability will be:
\(Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\\Probability=\frac{4}{14}\\ Probability=0.2857\\\)
Now, calculating nearest 10th of a percent
\(Probability = 0.2857*100\\Probability=28.5%\)
So, the probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%
PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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Ribbon wands are made from strips of ribbon tied to sticks. Connie has 84 feet of red ribbon, 48 feet of blue ribbon, and 72 feet of white ribbon. She wants to cut the ribbons into equal lengths that are as long as possible so that no ribbon is wasted
How many pieces of each color will she have?
Answer
Connie can cut the ribbon into 12 foot pieces.
Step-by-step explanation:
For these problems we should find the GCF, which is 12.
Write an algebraic expression for each verbal description. a number
!!please help me my assignment is due today at 9!!!
Thirty percent of the green house flowers are added to 25 ferns for the
school garden.
The algebraic expression is 0.3G+25F
What are algebraic expression?An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.
First, we can use G to represent green house flowers and F to represent ferns.
Then thirty percent of the green house flower can be represented by 0.3G.
25 ferns can be written as 25F.
The algebraic expression for the given verbal description is 0.3G+25F.
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The following data give the distribution of the types of houses in a town containing 25,000 houses. Identify each category and its percentage on the circle graph. House Style Frequency Cape 6250 Garrison 10000 Split 8750
The categories and their Percentages on the circle graph would be as follows:
Cape: 25%
Garrison: 40%
Split: 35%
To represent the distribution of house types in a town containing 25,000 houses on a circle graph, we need to determine the percentage of each category.
The given data provides the following frequencies for each house style:
Cape: 6,250 houses
Garrison: 10,000 houses
Split: 8,750 houses
To calculate the percentage for each category, we divide the frequency of each house style by the total number of houses in the town (25,000) and multiply by 100.
Percentage for Cape: (6,250 / 25,000) * 100 = 25%
Percentage for Garrison: (10,000 / 25,000) * 100 = 40%
Percentage for Split: (8,750 / 25,000) * 100 = 35%
Therefore, the categories and their respective percentages on the circle graph would be as follows:
Cape: 25%
Garrison: 40%
Split: 35%
These percentages represent the proportion of each house style in the town and can be visually represented on a circle graph to provide a clear visualization of the distribution of house types.
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If the triangles are similar, what is the value of x?
Answer:
\( 180 - 16 - 126 = 38\\ 13x = 180 - 16 - 38\\ 3x = 126 \\ 3x = 126 \\ x = \frac{126}{3} = 42\)
Select all statements that are true about bases and heights in a parallelogram
Answer:
hi
Step-by-step explanation:
1. The area formulas for a triangle and a parallelogram require multiplying base by height.
true
2 .A triangle and parallelogram with the same base and height will have the same area.
false
3. A rectangle and parallelogram with the same base and height will have the same area.
true
4. The area formula of a trapezoid requires finding the product of the bases.
false
5. The base of a triangle is always the shortest side.
false
Answer:
12
Step-by-step explanation:
I need help with this multiple choice question I would really appreciate it if you help!
Step-by-step explanation:
B. not a rational number
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Need help with the provided questions
Do you think we would have had a civil war to end slavery if we had not expanded west and taken territory from Mexico? Thinking about Manifest Destiny, the Texas Revolution, and The Mexican American War, do you think the choice to expand sparked a civil war or do you think westward expansion had nothing to do with the civil war?
What is the 28th term of the arithmetic sequence with a₁ =4 and d = -2 ?
Answer: a1= 4
Step-by-step explanation:
Solve y = ax² + c for x.
O x
x= ± √ay-c
O
O
x = ±₁
X=
X=
у-с
a
y
y + c
a
In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)
A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.
To find the value of x
Assuming \(a\neq o\)
First, subtract c from both the sides to get:
\(y-c=ax^{2}\)
then, divide both sides by \(a\) and transpose to get:
\(x^{2} =\frac{y-c}{a}\)
So, \(x\) must be a square root of \(\frac{y-c}{a}\) and we can deduce:
\(x=\) ± \(\sqrt \frac{y-c}{a}\)
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unit 7 right triangles & trigonometry homework 5: trigonometry : finding sides and angles
Answer:
1. 7.3
2. 33.3
3. 21.3
4. 31.9
5. 25.6
6. 11.0
7. 42°
8. 64°
9. 13°
10. 51°
Step-by-step explanation:
make sure if you're using a math calculator that it is in degree mode.
SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.
Cos is Adjacent(next to it)/hypotenus.
Tan is Opposite/Adjacent.
~~
PROBLEM 1:
So we have 63°, 16 as hypotenus, and x as one of the legs.
1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)
2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.
3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996
4. Don't forget to round to the nearest tenth, which gives you
x = 7.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 2:
Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.
1. Set it up, Tan 39° = 27/x can't solve this way so fix it.
2. rewritten as X = 27/tan39
3. round ur answer.
x = 33.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 3:
Given: 49°, adj is 14, hyp is x. So this is Cos.
1. Set up according to CAH, Cos 49=(14/x).
We can't solve it this way since the X is on the bottom. So we have to fix it!
2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.
3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)
4. Round.
x= 21.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 4:
Given: 15°, 33 hyp, adj x. Which is Cos.
1. Cos 15= x/33 and rewrite.
2. Input as 33 cos(15 into calculator = 31.875...
3. Round to tenth.
x = 31.9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 5:
Given: 52°, 20 adj of °, and x opp of °. Will use TAN.
1. Tan 52° = x/20
2. 20 Tan(52 into calculator
3. Round
x = 25.6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 6:
Given: 27°, opp of ° is 5, hyp is x. Will use Sin.
1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.
2. Input into calculator as: 5/sin 27 which equals 11.01...
3. Round.
x = 11.0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 7:
Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.
We will be using SIN, x is still a °.
1. Sin X = 4/6 Rewrite.
2. X= Sin^-1 (4/6)
Make sure ur sin is negative in calculator when doing this.
3. It SHOULD give you 41.81, round.
x = 42°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 8:
Given: x°, 29 opp, 14 adj. TAN.
1. Tan x°= 29/14 or..
2. X = Tan^-1(29/14) solve..
3. gives u 64.23.... round.
x = 64°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 9:
Given: x°, hyp 54, opp 12. SIN
1. Sin x°=(12/54)
2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)
3. Don't Forget to round, answer unrounded: 12.839..
x = 13°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 10:
Given: x°, adj 25, hyp 40. COS
1. Cos x°=25/40 rewrite.
2. X= Cos^-1(25/40) Solve.
3. Round.
X= 51°