Find the value of each variable.
A=?
B=?
C=?

Answer:

There isn't anything shown. Perimeter is all sides added up. Hope that helps.

Step-by-step explanation:

Given:

The circumference of the base of a cone is 10π cm.

The circumference of the base of a second similar cone is 20π.

To find:

The ratio of the surface area of the first cone to that of the second cone.

Solution:

Let the radii of base of two cones are [tex]r_1[/tex] and [tex]r_2[/tex] respectively.

Circumference of the circular base is [tex]2\pi r[/tex], where, r is radius.

We have,

[tex]2\pi r_1=10\pi\text{ cm}[/tex]

[tex]r_1=\dfrac{10\pi}{2\pi}\text{ cm}[/tex]

[tex]r_1=5\text{ cm}[/tex]

And,

[tex]2\pi r_2=20\pi\text{ cm}[/tex]

[tex]r_2=\dfrac{20\pi}{2\pi}\text{ cm}[/tex]

[tex]r_2=10\text{ cm}[/tex]

It two cons are similar, then ratio of there areas is equal to square of the ratio of there corresponding dimensions, i.e., radius or heights.

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{r_1}{r_2}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{5}{10}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{1}{2}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{1}{4}[/tex]

The ratio form is

[tex]V_1:V_2=1:4[/tex]

Therefore, the ratio of the surface area of the first cone to that of the second cone is 1:4.

The ratio of the surface area of first cone to that of the second cone is; 1:4

Formula for the circumference of the base of a cone is;

C = 2πr

Where;

C is circumference

r is radius

Thus;

10π = 2πr

r = 10π/2π

r = 5

20π = 2πr

r = 20π/π

r = 10

Now, formula for surface area of the base is;

A = πr²

Thus, ratio of both area of first cone to second cone is;

A1/A2 = 5²/10²

A1/A2 = 25/100

A1/A2 = 1/4

Thus, ratio of first cone to that of the second cone is; 1:4

Read more on surface area of cone at; https://brainly.com/question/6613758

Answer:

22

Step-by-step explanation:

4 + [(96 ÷ 8) × 5] – 42 =

4 + [12 × 5] - 42 =

4 + 60 - 42 =

22

Answer:

x = 1,

Common Difference = -3

Step-by-step explanation:

Each number in series has the same difference, hence

Which solves for -3

Answer:

x=1

c.d.=3

Step-by-step explanation:

2(2x+3)=x+1+x+7

4x+6=2x+8

4x-2x=8-6

2x=2

x=1

so terms are 2,5,8

c.d.=5-2=3

Answer:

he will walk about 8 miles

Step-by-step explanation:

Answer:$3200

Step-by-step explanation:

38,400 divided by 12 = $3200

Answer:

Step-by-step explanation:

Pattern

dx/dy = - sin(x)

d^2/dx^2 = -cos(x)

d3/dx^3 = sin(x)

d4/dx^4 = cos(x)

So if you divide 107 by 4 what's the remainder?

107 / 4 = 26 with a remainder of 3

So the answer is going to be the third one down or d107/dy^107 = sin(x)

Answer:

$6

Step-by-step explanation:

4 loaves of bread ---- $8

1 loaf of bread ---- $8 ÷ 4 = $2

one bag of oranges --- $5 - $2 = $3

two bags of oranges --- $3 × 2 = $6

one basket of apples --- $12 - $6 = $6

The cost of a basket of apples is $6.

Answer:

25 + 14 = 39 and the fraction form can be [tex]\frac{39}{100}[/tex]

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

know that

h = 3

h × h × h

3 × 3 × 3

= 27

Answer:

Step-by-step explanation:

1. Alternate interior angles. Inside the transversal and opposing sides

8. Set all three angles equal to 180, since they're supplementary

34+41+x = 180

180 = 75+x

105 = x

Answer:

B. 2:1, for every two yellow fish there is one orange fish

Step-by-step explanation:

So you have 6 yellow fish and 3 orange fish.

You can divide both these values by 3 to get:

2 yellow fish: 1 orange fish

Therefore, the simplified version of the ratio is 2:1

In context this means for every 2 yellow fish there is 1 orange fish.

The answer is then B.

I hope this helps!!

- Kay

Answer:

The equation is  

✔ d = 5l

.

As the number of  

✔ laps

increases, the number of  

✔ dollars

also increases.

Step-by-step explanation:

Using the concept of expressing an equation , the required expression is n + 13 = 43

Let the number be : n

The number increased by 13 can be expressed thus :

Equating the expression to the result, we'll have :

Therefore, the required expression, is n + 13 = 43

Learn more : https://brainly.com/question/19802693

Answer:

Cost of student ticket =  $7

Cost of Adult ticket = $17

Step-by-step explanation:

Let cost of student ticket = x

Cost of Adult ticket = y

Making expressions from statements

Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. [tex]27x+25y=614[/tex]

Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. [tex]27x+32y=733[/tex]

Now solving these equations to find values of x and y

Let

[tex]27x+25y=614--eq(1)\\27x+32y=733--eq(2)[/tex]

Subtracting both equations

[tex]27x+25y=614\\27x+32y=733\\-\:\:\:-\:\:\:\:\:\:\:\:\:\:\:\:-\\-------\\-7y=-119\\y=\frac{-119}{-7}\\y=17[/tex]

So, we get value of y = 17

Now, finding value of x, by putting value of y in eq(1)

[tex]27x+25y=614\\Put\:y=17\\27x+25(17)=614\\27x+425=614\\27x=614-425\\27x=189\\x=\frac{189}{27}\\x=7[/tex]

So, we get value of x = 7

Cost of student ticket = x = $7

Cost of Adult ticket = y = $17

Answer:

Valerie can cut 13 2/3 ft pieces.

Step-by-step explanation:

Please brainliest!

Answer:

32 pieces is the right answer

3×8=24

24×1/4

so 32

Step-by-step explanation:

please mark me as brainliest

Hey there!

The formula is: y₂ - y₁ / x₂ - x₁

y₂ = 22

y₁ = 21

x₂ = 6

x₁ = 5

Your equation: 22 - 21 / 6 - 5

22 - 21 = 1 ← numerator (TOP number)

6 - 5 = 1 ← denominator (BOTTOM number)

We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1

(or you can simply 1 because 1 ÷ 1 gives you 1)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

c ) 7/3

Step-by-step explanation:

Answer:7.81

Step-by-step explanation:

7.81=0.42*0 +7.81

Answer:

25

Step-by-step explanation:

[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]

Answer:

9, 15, 21

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

hope this helps, pls mark brainliest :D

Answer: 9 15 21

Step-by-step explanation: hope this helps

Answer:

$532

Step-by-step explanation:

19/200 * 5600/1

Cross cancellation makes this:

19/1 * 28/1

19 * 28

(19 * 20) + (19 * 8)

380 + 152

$532 in commission

Answer:

A function that increases or decreases abruptly from one constant value to another.

Answer:

60°

Step-by-step explanation:

You have to do a² + b² = c²

I plugged in the numbers and they matched up.

Hope this helps ya!

Complete Question:

An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=13t^2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1=2 to t2=10. This rate is known as the average velocity, or speed.

The average velocity as t changes from 2 to 10 seconds is _______ feet/sec?

Answer:

[tex]v = 156[/tex]

Step-by-step explanation:

Given

[tex]d(t)=13t^2[/tex]

Time Interval: (a,b)

[tex]a = 2[/tex]

[tex]b = 10[/tex]

Required

Determine the average rate of change (v)

This is calculated as thus:

[tex]v = \frac{d(b) - d(a)}{b - a}[/tex]

Substitute values for b and a

[tex]v = \frac{d(10) - d(2)}{10 - 2}[/tex]

[tex]v = \frac{d(10) - d(2)}{8}[/tex]

Calculate d(10): Substitute 10 for t

[tex]d(t)=13t^2[/tex]

[tex]d(10) = 13 * 10^2[/tex]

[tex]d(10) = 13 * 100[/tex]

[tex]d(10) = 1300[/tex]

Calculate d(2): Substitute 2 for t

[tex]d(t)=13t^2[/tex]

[tex]d(2) = 13 * 2^2[/tex]

[tex]d(2) = 13 * 4[/tex]

[tex]d(2) = 52[/tex]

The equation [tex]v = \frac{d(10) - d(2)}{8}[/tex] becomes

[tex]v = \frac{1300 - 52}{8}[/tex]

[tex]v = \frac{1248}{8}[/tex]

[tex]v = 156[/tex]

Hence, the average rate of change is 156ft/s

Answer:

[tex]Area = 72[/tex]

Step-by-step explanation:

From the attachment, we can see that the floor has a trapezium shape with the following dimensions.

[tex]Height = 6yd[/tex]

The parallel sides (P1 and P2) are:

[tex]P_1 = 10 + 4 = 14[/tex]

[tex]P_2 = 10[/tex]

The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:

[tex]Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]

[tex]Area =\frac{1}{2} * (P_1 + P_2) * Height[/tex]

[tex]Area = \frac{1}{2} * (10 + 14) * 6[/tex]

[tex]Area = \frac{1}{2} * (24) * 6[/tex]

[tex]Area = 12 * 6[/tex]

[tex]Area = 72[/tex]

Hence, 72 square yards is needed to cover the floor

Answer:

$10.50

Step-by-step explanation:

To find how much tax is added on to the $150 we have to multiply .07 by 150.

(150)(.07) = 10.5

Therefore, Miguel will have to pay $10.50 in tax.

I hope this helps!

- Kay :)