The diameter of a cylinder is 5 yd. The height is 4 yd. What is the volume of the cylinder

Answer:

B. -8.2, -5, -3.5, 6, 8.2

Based on the corresponding angles theorem, a = 30°.

Two angles that correspond to each other are congruent based on the corresponding angles theorem.

Thus:

5x + x = 180° (linear pair)

6x = 180

x = 180/6

x = 30

Therefore:

x = a (corresponding angles)

a = 30°

Therefore, based on the corresponding angles theorem, a = 30°.

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Ok so the general form of a circle is given by;

(x-a)²+(y-b)²=r²

where a and b are the coordinates of the center

and r is the radius of the circle

For this case we know that the center is (5,-7)

So the general equation of the circle would be;

[tex](x - 5) {}^{2} + (y - ( - 7)) {}^{2} = r {}^{2} [/tex]

[tex](x - 5 {}^{2} + (y + 7) {}^{2} = r {}^{2} [/tex]

Since we know that (-3,-1) is a point on that circle, we can say that it satisfies the equation of the circle;

[tex]( - 3 - 5) {}^{2} + ( - 1 + 7) {}^{2} = r {}^{2} [/tex]

[tex]r {}^{2} = ( - 8) {}^{2} + ( 6) {}^{2} [/tex]

[tex]r {}^{2} = 64 + 36 = 100[/tex]

So now,

[tex](x - 5) {}^{2} + ( {y + 7)}^{2} = 100[/tex]

Answer:

The car will be worth £2516.22 in 5 years

Step-by-step explanation:

The rule of depreciating is  

[tex]A=P(1-r)^{t}[/tex], where

∵ Dan buys a car for £2700

∴ P = 2700

∵ It depreciates at a rate of 1.4% per year

∴ r = 1.4% = 1.4/100 = 0.014

∵ We need to find how much it will be worth in 5 years

∴ t = 5

→ Substitute all of these values in the rule above to find A

∵ [tex]A=2700(1-0.014)^{5}[/tex]

→ Use your calculator to find the answer

∴ A = 2516.22

∴ The car will be worth £2516.22 in 5 years

Answer:

The statements are not given, so i will answer it in the most general way possible:

First, let's recall two things:

Horizontal translation.

For a number A positive, we can move the graph of f(x) by A units to the right by the transformation g(x) = f(x - A)

Reflection over x

For a point (x, y), a reflection over the x-axis transforms this point into (x, - y).

Now let's analyze the problem:

A generic circle, of radius R and centered in the point (a, b) can be written as:

(x - a)^2 + (y - b)^2 = R^2.

Now let's translate this 4 units to the right:

(x - 4 - a)^2 + (y - b)^2 = R^2.

or in standard circle notation:

(x - (4 + a))^2 + (y - b)^2 = R^2.

Now the circle is centered in the point (a + 4, b).

Now let's do a reflection over the x-axis.

This means that the sign of y changes, so now we have:

(x - (4 + a))^2 + (-y - b)^2 = R^2.

But because the term with y is squared, this is the same than:

(x - (4 + a))^2 + (y + b)^2 = R^2.

Or, in standard circle notation:

(x - (4 + a))^2 + (y - (-b))^2 = R^2.

Then the circle is now centered in point (a + 4, -b).

So now you know where the circle is located, and also you can see that the radius of the circle never changed.

Answer:$63.55

Step-by-step explanation: You multiply 59.95 by 1.06

Answer:

0.058

Step-by-step explanation:

Answer:

0.058

Step-by-step explanation:

Answer:

Find the unit rate;

_____________ = _____________

We multiply those 57.5 calories with 6 ounces

57.5(6) = 345, there are 345 calories in 6 ounces.

(note that you formatted the question wrong, it was supposed to be):

There are 230 calories in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?

Answer:

Come on... Not enough evidence given.

Step-by-step explanation:

Answer:

2/7 of the staff are males

Step-by-step explanation:

This is because 5/7 - 7/7 + 2/7 thus gives you 2/7 male teachers

Answer:

Step-by-step explanation:

e and k are alternate exterior angles so they would be the same measurement you cant really do it without atleast one measurement did you miss anything on the question maybe?

Answer:

It is 54.

Step-by-step explanation:

You divide 36 by 2/3.

Answer:

D

Step-by-step explanation:

using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{11.9}{c}[/tex] ( multiply both sides by c )

c × sin20° = 11.9 ( divide both sides by sin20° )

c = [tex]\frac{11.9}{sin20}[/tex] ≈ 34.8 ( to the nearest tenth )

The figure contains a triangle and a semicircle

The area of the figure is 49.12 square feet

The dimension of the triangle is:

Base = 8 ft

Height = 6ft

So, the area is:

Area = 0.5 * Base * Height

This gives

Area = 0.5 * 8ft * 6ft

Evaluate

Area = 24 square feet

The radius of the semicircle is:

r = 4 ft.

So, the area is:

[tex]Area = 0.5\pi r^2[/tex]

This gives:

Area = 0.5*3.14 * 4^2

Area = 25.12 square feet

Add the calculated  areas.

Total = 24 square feet + 25.12 square feet

Total = 49.12 square feet

Hence, the area of the figure is 49.12 square feet

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Answer:

D. I think

Step-by-step explanation:

It depends on how much the t-shirt costs and from there you can test it out and take away 20$ and 20% and compare which has the lowest price

Answer:

-4 ≤ x ≤ 3

Step-by-step explanation:

A closed circle (●) means 'greater than or equal to' or 'less than or equal to'.

An open circle (○) means 'greater than' or 'less than'

Answer:

3[tex]\geq[/tex]-4

Step-by-step explanation:

° <,>

Answer:

No

Step-by-step explanation:

From the having it a cubic function instead of a linear function which explains the position that shows not being parallels like others or horizontal another explanation is linear functions will never have anything to the power of anything.

Answer:

B

Step-by-step explanation:

y=x^3 is a cubic function due to the "x^3"

Answer:

A = 12.554 square inches

Step-by-step explanation:

Let's start with the formulas:  

Circumference = [tex]2\pi r[/tex]; Area = [tex]\pi r^{2}[/tex]

We can use the circumference to find the radius, r, which we need for the area

12.56 = [tex]2\pi r[/tex]

Isolating r gives us [tex]\frac{12.56}{2\pi } = r[/tex]

A = [tex]\pi (\frac{12.56}{2\pi })^{2}[/tex]

Solving gives us 12.554, which you can further round if necessary.

Answer:

8

Step-by-step explanation:

You find the GCF of 48 and 64

Answer:

8

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1. Given

2. Commutative property of addition

3. Substitution property

4. Subtraction property of equality

5. Additive inverse property

6. Substitution property

7. Multiplication property of equality

8. Multiplicative inverse property

9. Substitution property

Answer:

5  1  3

2 16 0

2  1  9

Answer:

$21.60

Step-by-step explanation:

20% can be written as 0.2

0.2 · $18 = 3.6

Add 3.6 to $18

$18.00 + 3.60 = $21.60

So the answer is $21.60

Hope I helped :)

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Answer:

Its 50 ft

Step-by-step explanation:

just multiply 5 by 10 because 1 inch is 10 feet

Answer:

C. $0.22 per box

Step-by-step explanation:

if it's two juice boxes and they cost $0.44 together. You divide by two, since there are two boxes. with that you get your answer, 44÷2=22. making the answer $0.22

The pairs of legging purchased is 3

Let the number of leggings be x.

The cost per legging is given as:

$12

So, the total amount is:

Total = 12x

The flat rate is given as:

Flat rate = 5

So, we have:

Total = 12x + 5

Your total is $41

So, we have:

12x + 5 = 41

Subtract 5 from both sides

12x = 36

Divide through by 12

x = 3

Hence, the pairs of legging purchased is 3

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Answer:

2x + 4 = 10 = x =3

Step-by-step explanation:

09 - 31 = 0  (the variable x is not present in the given system)

0 +5=6  (the variable x is not present in the given system)

2x + 4 = 10  = x = 3

09-1=4  (the variable x is not present in the given system)

51 - 7 = 1  (the variable x is not present in the given system)

3x + 1 = 9 = x = 8/3

3×5+6+2 because

3×5=15+6=21+2=23

Answer:multiply the height by the width then divide by 2

Step-by-step explanation:

Answer:

A=1/2*b*h

Step-by-step explanation:

Hope I helped