What type of line is PQ?
A. altitude
B. angle bisector
C. side bisector
D. median

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

The solid is described as a three-dimensional solid made from

two parallel and congruent discs, not in the same plane, and all the points

between them is a Cylinder.

Hence, the correct option is A.

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Step-by-step explanation:

the graph will be compressed vertically

Answer:

(x - 3/8)^2 = x^2 - 3/4x + 9/64

Step-by-step explanation:

Step-by-step explanation:

divide the number with x by 2 and get the square of that number and add that number to this given equation

number with x = -3/4

= x^2 - 3/4 x + 9/64

= (x -3/8) ^2

Differentiating both sides of

xy = 99

with respect to t yields

x dy/dt + y dx/dt = 0

When x = 11, we have

11y = 99   ==>   y = 9

and we're given that dy/dt = -4 at this point, which means

11 (-4) + 9 dx/dt = 0   ==>   dx/dt = 44/9

Answer:

Step-by-step explanation:

D={ 6  , -9  , 1 }

R={  0  ,-3 }

Answer:

y = 25x + 40

Step-by-step explanation:

The electrician charges $25 per hour.

The number of hours is x.

Therefore after x hours the electrician will charge $25x. (multiply the charge by the number of hours $25 * x)

Therefore fee(y) charged by the electrician = $40 + $25x

Hence y = 25x + 40

Answer:

y= -6x-6, I think, hope it helped

Step-by-step explanation:

The value of vector v that is perpendicular to the plane through the points is,

⇒ v = (6, - 27, - 24)

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Points are,

A = (5,−4,4), B = (−5,0,−3), and C = (−4,2,−5).

Hence, We get;

AB = [- 10, 4, - 7]

AC = [-9, 6, -9]

So, The value of vector v that is perpendicular to the plane through the points is,

⇒ v = AB x AC

⇒ v = (- 10, 4, - 7) x (- 9, 6, - 9)

⇒ v = (6, - 27, - 24)

Thus, The value of vector v that is perpendicular to the plane through the points is,

⇒ v = (6, - 27, - 24)

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Answer: About 21.98 cm²

Step-by-step explanation:

First, find the area of the large shaded circle:

[tex]r^{2} \pi =3^{2} \pi =9\pi[/tex]

Find the area of the two small unshaded circles:

[tex]1) r^{2} \pi =1^{2} \pi =1\pi \\2) r^{2} \pi =1^{2} \pi=1\pi[/tex]

Subtract the area of the small circle from the large circle:

[tex]9\pi -1\pi -1\pi =9\pi -2\pi =7\pi[/tex]

Therefore, the area of the shaded region is:

[tex]7\pi =7*3.14=21.98[/tex]

(D)

Step-by-step explanation:

Multiply and divide the fraction by the conjugate:

[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}×\dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}[/tex]

[tex]= \dfrac{2(\sqrt{13} - \sqrt{11})}{(\sqrt{13})^2 - (\sqrt{11})^2}[/tex]

[tex]=\dfrac{2(\sqrt{13} - \sqrt{11})}{2}[/tex]

[tex]=\sqrt{13} - \sqrt{11}[/tex]

Answer:

C.

Step-by-step explanation:

A P E X

Answer:

18 dollars

Step-by-step explanation:

sunglasses = 6 dollars

sandals = 3 * sunglasses

             = 3 * 6 dollars

             = 18 dollars

Answer:

33

Step-by-step explanation:

The answer is 1628. Because 16 x 21 = 28 x 12 = 336

Hope this helps

Answer:

24780

Step-by-step explanation:

might not be right but 24780 because 23600*5% is 1180 and add that to the original 23600 to get 24780

5% more is 105% in total, including the the 100% we start with, so:

23,600 * 1.05 = 24780

Answer:

20 students

Step-by-step explanation:

Step 1:

Calculate the percentage of students who brought oranges by taking away the percentage of students who brought bananas and apples from the total percentage of students.

100-(20+35)

=45

Step 2:

Equate the percentage of students who brought oranges to the number of students who brought oranges

45%=9

100%

(100×9)/45

=20 students

Answer:

.3

Step-by-step explanation:

Take path A = .5

Then Path D = .6

P(a and D) = .5 *.6 = .3

Answer:

H0 : σ²=10²

H1 : σ²>10²

χ² = 45.796

Pvalue = 0.2442

Do not reject H0 because Pvalue is greater Than significance level

There is insufficient evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to 10 beats per minute.

Step-by-step explanation:

Given that :

Sample size, n = 41

Sample standard deviation, s = 10.7

Population standard deviation, σ = 10

Significance level, α = 0.10

The Hypothesis :

H0 : σ²=10²

H1 : σ²>10²

Using the χ² test for population variance :

The test statistic, χ² = (n-1)*s²/σ²

χ² = (41 - 1) * 10.7²/ 10²

χ² = (40 * 114.49) / 100

χ² = 4579.6 / 100

χ² = 45.796

The Pvalue ;

df = n - 1 ; 41 - 1 = 40

Pvalue(45.796, 40) = 0.2442

Since Pvalue > α ; WE fail to reject H0

Do not reject H0 because Pvalue is greater Than significance level

There is insufficient evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to 10 beats per minute.

Answer:

15 cm

Step-by-step explanation:

Since the traingles are similar, we can find the ratio between the side lengths, and it will be the same for each side.

We can use the side length 9 and 15 to find this ratio. 15/9=5/3. So, the ratio of a side length of the larger triangle to the smaller one is 5/3, so our equation becomes 5/3 = 25/x. Use any method you like to find that x=15.

Hope this helped,

~cloud

Answer: 24 people earnt As

Step-by-step explanation:

1. We know that 18 people are the other 3/7 of the class

2. We first find out 1/7, which is calculated by dividing 3/7 by 3, which is 18 / 3 so 6

3. We can then find 4/7 by multiplying the amount of 1/7 by 4, so 6 x 4 = 24

We know that vertically opposite angles are equal.

So, k = 131° [Vertically opposite angles]

and g = 43° [Vertically opposite angles]

We know that linear pair of angles are supplementary (180°).

So, h + 43° = 180° [Linear pair of angles]

=> h = 180° - 43°

=> h = 137°

and m + 131° = 180° [Linear pair of angles]

=> m = 180° - 131°

=> m = 49°

Answer:

A. x<7

Step-by-step explanation:

The point at x=7 is an open circle, so the sign is <, not ≤

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

[tex]V = A_bw[/tex]

The base area is one half times the triangle base times it's height, so:

[tex]V = 0.5*b*h*w[/tex]

The wedge of cheese is 7 inches tall.

This means that [tex]w = 7[/tex]

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that [tex]b = 11, h = 5[/tex]

Volume:

[tex]V = 0.5*b*h*w = 0.5*11*5*7 = 192.5[/tex]

Rounding, approximately 193 in.

Answer:

16.23 hours

Step-by-step explanation:

To obtain the number of hours that have passed ; we have to solve for t on the equation ;

4500 = 75,000 e^-0.1733t

Divide both sides by 75000

4500/75000 = e^-0.1733t

0.06 = e^-0.1733t

Take the In of both sides ;

In(0.06) = - 0.1733t

-2.813410 = - 0.1733t

Divide both sides by - 0.1733

t = 16.23 hours

The ratio/proportion is young / old = young / old.

We know that one ratio is 3 / 5, so we need to complete the other.

3 / 5 = young / 40

5 goes into 40, 8 times, therefore we need to multiply the numerator by 8 also.

3 x 8 = 24

The younger student is 24 years old.

Hope this helps!

Answer:

24

Step-by-step explanation:

younger : older

3             :5

The older is 40

40/5 = 8

Multiply each by 8

younger : older

3 *8       :5 *8

24         : 40

The younger is 24

Answer:

(8,0)

Step-by-step explanation:

f(x) = x^2 − 16x + 64

The x intercepts ( or zeros) are found by setting y=0

0 =   x^2 − 16x + 64

Factor

0 = (x-8)(x-8)

Using the zero product property

x-8 =0  x-8 =0

x=8   x=8

(8,0)

Answer:

8,0

edge 20201

Answer:

Not sure about the inequality, but maximum ounces is 31 ounces.

Might be.

[tex]7.98 \geqslant .24x + .32[/tex]

Answer:

(f + g)(x) = 5x + 5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x + 3

g(x) = 3x + 2

Step 2: Find