In the diagram below, you are given that ∠AVD = ∠BVE = ∠CVF= 90° and ∠CVD = 22°. If ∠AVB= ∠EVF, how many degrees are in the measure of ∠AVF?

Answer:

696.6 in³

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr³

The diameter of 11 in. is given. Therefore, the radius is 5.5 (11/2 = 5.5).

1. Set up the equation

4/3(3.14)(5.5³)

2. Solve

= 696.6 in³

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 5.5 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 5.5 inches

Volume = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

Volume = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

Volume = [tex]\frac{2090.7}{3}[/tex]

Volume = 696.9 in.³

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

[tex]\boxed{\sf B. \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 7(x + 2) = 7x-10[/tex]

Expand brackets.

[tex]\sf 7x+14 = 7x-10[/tex]

Subtract 7x and 14 from both sides.

[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]

[tex]\sf 0=-24[/tex]

There are 0 solutions.

Answer:

His gain percent is 20%

Step-by-step explanation:

In this question, we want to find the percentage gain of the business.

We need the following parameters;

The cost price which is the sum of the amount she bought the goods + the amount spent on transport

Using the values we have in the question;

The cost price will be;

13,600 + 400 = Rs 14,000

The selling price = Rs 16,800

Mathematically the percentage gain will be;

% gain = (selling price- cost price)/selling price * 100%

% gain = (16,800-14,000)/14,000 * 100/1

% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%

Answer:

x ≈ 3.4 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )

4 × sin57° = x , thus

x ≈ 3.4 cm ( to 1 dec. place )

A function is a relation between sets defined by a formation law. Examples:

[tex]F(x)=0[/tex]

[tex]F(x) =x[/tex]

[tex]F(x) = ax+b[/tex]

Answer: A = (1m/3)^2 or A= (1/3)^2 m

Or A= (1/3)(1/3)

Step-by-step explanation:

No choices given, but it will look like one these answers.

The area of a square that has a side length of 1/3 meter is 1/9 square meter.

I hope this helps you.

Answer:

a= (1/3)(1/3)

Step-by-step explanation:

Answer:

a   4/17

Step-by-step explanation:

if you add them all up, you get 34. 8 out of 34 reduced is 4/17

Answer:

4/17

Step-by-step explanation:

8 black marbles, 12 clear marbles, and 14 blue marbles = 34 marbles

P( black) = number of black/ total

              = 8/34

              =4/17

Answer:

Hey there!

That would be the SAS postulate.

This states that one angle is congruent and between two congruent sides.

Hope this helps :)

Answer:

7

Step-by-step explanation:

Quadratic Equation: 3x² - 24x + 72

The form we are to convert the equation to:

3x² - 24x + 72

a(x + b)² + 72

3(x² - 8x + 24)

Step 1

Make the Quadratic equation (x² - 8x) in the bracket factorisable using completing the square method

3( x² - 8x +(- 8/2)²) + 24

3( x² - 8x + 16 = -24 + 16

3( x² - 8x + 16 + 8 = 0)

3( x² - 8x + 16) + 8

3( x² - 4x + 4x + 16) + 8

3( x(x - 4) -4(x - 4) + 8

3((x - 4)(x - 4) )+ 8

3( (x - 4)² + 8

Using this form

a(x + b)² + c

a = 3

b = -4

c = 8

We were asked to add up constants a, b, c

Therefore,

3 +(-4) + 8

= 7

Answer: B. He loses 1/5 of his points in the next crash

Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points

After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.

31

because 15 +16 :31

[tex]. = y1 = \times [/tex]

Hi there! I know I'm a little late but, hopefully this helps!

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"6 less than the product of 4 and a number" means:

4 × n - 6

Answer:

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).

Step-by-step explanation:

might help

Answer:

10 meters

Step-by-step explanation:

From your question, it seems we are dealing with a triangle and we are given the two legs of the triangle.

The given dimensions are:

7 meters and 7 meters.

Required:

Here, we are required to find the third side of the triangle which is the hypotenus.

Using Pythagoras theorem:

a² + b² = c²

Where a = 7 & b = 7

Thus, we have:

7² + 7² = c²

c² = 49 + 49

c² = 98

Take the root of both sides

√c² = √98

c = √98

c = 9.899

c ≈ 10 meters

Therefore the length of the unknown side is approximately 10 meters

Answer:

69

Step-by-step explanation:

A triangle has a 180 degree angle so you do 180-111=69

Answer: x=24

Step-by-step explanation:

lets say 94 is ∠ a

41 is ∠ b

___ ∠  c

111∠ d

x ∠ e

so with that you will figure out that ∠  c is to find X

108-94-41= 45

so ∠ c is 45

now you can ∠a ∠ b∠ c

with that yo take

108-111-45=24

So X=24

Work Shown:

Let's say this school has 100 people total. We know that 30 of the people have a cat since 30/100 is the fractional portion of cat owners. Similarly, 18 have both a cat and a dog.

The probability of selecting someone who has both pets, given we know they are a cat owner, is 18/30 = 3/5

To reduce the fraction, divide both parts by the GCF 6.

Note: we don't use 45/100 because we know that whoever selected wasn't solely a dog owner.

Answer:

at the rate of 100000.

u t cute

Answer:

:)

Step-by-step explanation:

y=6x-3

y=-3

-3=6x-3

-3=6x-3

+3     +3

=6x

Answer:

Step-by-step explanation:

y=6x-3

y=-3

6x-3=-3

6x=-3+3

6x=0,

x=0

y=-3

so solution is point (0,-3)

Answer:

(x + 3)(x - 5)

Step-by-step explanation:

Well to factor  x^2-2x-15,

we need to find 2 numbers that multiply to get -15 and add to get -2.

3*-5 = -15

3x + -5x = -2x

x*x = x^2

Factored (x + 3)(x - 5)

Hope this helps :)

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

Step 1- Find 2 number that multiplies to be -15, but also add to be -2

This would be -5 and 3

-5 * 3 = -15

-5 + 3 = -2

Step 2- write the equation

The equation can be written 2 different ways

1st way- (x - 5)(x + 3)

2nd way- (x + 3)(x - 5)  

Hey there! :)

Answer:

Third choice: 13π/15 in.

Step-by-step explanation:

Begin by finding the circumference of the entire circle. Use the formula

C = 2rπ to solve:

C = 2(3)π

C = 6π.

Next, we can set up a proportion to find the arc length of AQB:

[tex]\frac{6\pi }{360}= \frac{x}{52}[/tex]

Cross multiply:

52 · 6π = 360 · x

312π = 360x

Divide both sides by 360:

312π/360 = 360x/360

x = 13π/15 in.

Answer:

The answer is 77n/15 inches :)

Step-by-step explanation:

Answer: 2.

Step-by-step explanation:

Number of samples = 121

Average speed (sample mean) = 65mph

Population standard deviation = 22 mph

The standard error of the mean is:

Standard error of the mean(S.Em)

Standard error of the mean is the proportion of the population standard deviation and the square root of the sample size.

S.Em = standard deviation / √same size

S.Em = 22 / √121

S.Em = 22 / 11

S.Em = 2

Answer: im having the same problem

Step-by-step explanation:

Answer:

Please look at the picture attached to see the long division.

a. 32 remainder 3

b. 75 remainder 7

Step-by-step explanation:

Answer:

Hey! The answer to your question will be below.

Step-by-step explanation:

Part A would be 32 R 3

And Part B would be 75 R 7

If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

Step 1-Construct the perpendicular bisector of one side of the triangle.

Step 2-Construct the angle bisector of another side of the triangle.

Explanation:

A circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet

Answer:

80 in²

Step-by-step explanation:

8/10 = x/100

x = 80

Answer:

They both rented the bikes for 4 hours and paid $ 24.

Answer:$24

Step-by-step explanation:

Answer:

The equation in the polar form is;

[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex]

Step-by-step explanation:

 e = 3/4  > 1, we have an hyperbola    

The polar equation of a conic is of the form;

For vertical directrix

[tex]r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}[/tex]

For horizontal directrix

[tex]r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}[/tex]

Where;

k = Distance from the focus to the directrix = 2

We have;

[tex]r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]

[tex]r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]

Which gives the equation in the polar form as follows;

[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex].

Answer:

-60.X + 32 = 32.r – 60

Because we only have one equation for 2 unknowns.

Step-by-step explanation:

All the equations have solution for r but the one that has 2 unknowns (r and X).

That is because we only have one equation and 2 unknowns.

Then, we only can express one unknown in function of the other and have an indeterminate solution.