Find the Surface Area of the cylinder

[tex]1. {3}^{2} + {2}^{3} \\ = 9 + 8 \\ = 17[/tex]

[tex]2. {5}^{3} + {2}^{4} \\ = 125 + 16 \\ = 141[/tex]

[tex]3. {2}^{0} + {5}^{0} + {6}^{0} \\ = 1 + 1 + 1 \\ = 3[/tex]

[tex]4.1000 - {10}^{2} \\ = 1000 - 100 \\ = 900[/tex]

[tex]5. {3}^{3} - {2}^{3} \\ = 27 - 8 \\ = 19[/tex]

[tex]6. {5}^{2} - {3}^{2} \\ = 25 - 9 \\ = 16[/tex]

[tex]7. {10}^{2} - {10}^{0} \\ = 100 - 1 \\ = 99[/tex]

[tex]8. {2}^{4} \times {3}^{2} \\ = 16 \times 9 \\ = 144[/tex]

[tex]9. {10}^{3} - {5}^{2} \\ = 1000 - 25 \\ = 975[/tex]

[tex]10. {7}^{2} \times {2}^{2} \\ = 49 \times 4 \\ = 196[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

y = 4/7 - 4

Step-by-step explanation:

Slope = (-4-0) / (0 - 7) = -4/-7 = 4/7

y-intercept: -4 - (4/7)(0) = -4

Answer:

Bottom left

Step-by-step explanation:

Trust me bro

Answer:

a. What is asked: How many miles did she ride on Monday and Tuesday together?

b. What are the given facts: On Monday, she rode 1/5 of a mile, and on Tuesday she rode 2/5 of a mile.

c. What is the operation to be used: Addition

d. What is the number sentence: 1/5 + 2/5

e. What is the solution: 1/5 + 2/5 = 3/5

f. What is the complete answer: 3/5 of a mile

Answer:

x=1, y=10

Step-by-step explanation:

we use substitution to get from the bottom equation that y=12-2x,

plug that into the first equation to get 5x+12-2x=15

combining like terms and cancelling, we get 3x=3

so x=1,

substituting that into the former equation gives us y=10

Answer:

There are 90 peach trees and 60 apple trees

Step-by-step explanation:

Answer:

12 girls

36 boys

Step-by-step explanation:

Answer:12 girls

Step-by-step explanation:

3 Shares boys (Due to it being 3 times more) 1 Share girls

3 Shares boys + 1 Share girls= 4 Shares

48 / 4 Shares = 12

Girls are 1/4 of the 48

so there are 12 girls

Answer:

purple to blue -   5:8

I think you meant green is red

purple to red -     5:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

ax² + bx + c = y

x² + 5x – 21 = 0

First make sure the (a) term = 1... It is.

Get (c) to zero or blank by adding or subtracting as needed.

x² + 5x – 21 + 21 = 0 + 21

x² + 5x       = 21

Add the square of half of the b term to each side

x² + 5x + (5/2)² = 21 + (5/2)²

x² + 5x + (5/2)² = 27.25

rewrite the left side as a square

(x + 2.5)² = 27.25

square root of each side

x + 2.5 = ±√27.25

isolate x

x = -2.5 ±√(27.25)

x ≈ 2.72 or -7.72

Answer:

[tex]\frac{25}{4}[/tex] = 6.25

Step-by-step explanation:

x² + 5x - 21 = 0 ( add 21 to both sides )

x² + 5x = 21

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] = 21 + [tex]\frac{25}{4}[/tex]

(x + [tex]\frac{5}{2}[/tex] )² = [tex]\frac{109}{4}[/tex]

Answer:

1

Step-by-step explanation:

I think C(12,0) means 12 choose 0. If yes, then the answer is 1. There is only 1 way to pick 0. Or, you can calculate it with the form:

C(12,0) = [tex]\frac{12!}{0!(12-0)!}[/tex] ⇒

[tex]\frac{12!}{1*12!}[/tex] = 1

Answer:

17

Step-by-step explanation:

12+5=17 ;-;

Answer:

17

Step-by-step explanation:

this is easy for f.ree points thanks

Answer:

471.24

Step-by-step explanation:

Answer:

A= 471.24

Step-by-step explanation:

The formula for the surface area of a cylinder is

[tex]A=2\pi rh+2\pi r^2[/tex]

What we know is

Using these numbers, we can know plug them into the formula.

[tex]A=2\pi (5)(10)+2\pi(5)^2[/tex]

Simplify

[tex]A= 100\pi + 50\pi[/tex]

[tex]A= 150\pi[/tex]

[tex]A= 471.24[/tex]

Answer:

$300

Step-by-step explanation:

Front row: $225

Front row = 3 * balcony

225 = 3 * balcony

balcony = $225/3 = $75

One balcony ticket costs $75.

4 balcony seats = 4 * $75 = $300

Answer: $300

Answer: 6 centimeter cube

Step-by-step explanation: Based on wideness.

Answer:

No

Step-by-step explanation:

-7+12=5

Answer:

[tex]x=7[/tex]

-7 is not a solution for [tex]x+12=19[/tex]

Step-by-step explanation:

[tex]x +12 = 19[/tex]

Subtract 12 from both sides

[tex]x = 19-12[/tex]

Subtract 12 from 19 to get 7

[tex]x = 7[/tex]

It would be -7 if it was [tex]-x+12=19[/tex]

Answer:

273ft²

Step-by-step explanation:

Fabric needed

= 2([tex]\frac{1}{2}[/tex]×7×6) + 3(7×11)

= 42ft² + 231ft²

= 273ft²

Answer:

548 miles

Step-by-step explanation:

O.25m + 210 = 347

0.25m = 347 - 210

0.25m = 137

m = 137/0.25

m = 548

Answer:

Step-by-step explanation:

The Pythagorean theorem applies to right angled triangles only.

However, for any other triangle, by dropping a perpendicular from any vertex on to the opposite side, you form two right angled triangles both of which can be solved by the Pythagorean theorem.

So, the Pythagorean theorem applies to right angled triangles directly and to other triangles indirectly.

9514 1404 393

Answer:

  right triangles

Step-by-step explanation:

The Pythagorean theorem relates the side lengths of a right triangle.

  c² = a² +b² . . . . . . . . for legs 'a' and 'b' and hypotenuse 'c'

__

Additional comments

The more general form of the relation between side lengths of a triangle is given by the Law of Cosines:

  c² = a² +b² -2ab·cos(C) . . . . for sides 'a', 'b', and 'c' with angle C opposite side 'c'

You will notice this reduces to the Pythagorean relation when C = 90°.

__

Triples of integers that satisfy the Pythagorean relation are called Pythagorean triples. The smallest set (and the only sequential set) of these is (a, b, c) = (3, 4, 5). Other triples commonly seen in math problems are (5, 12, 13), (7, 24, 25), (8, 15, 17), and multiples of these.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hello!

TO find the root all you gotta do is 3x3 which gives you 9

Answer:

1/12

Step-by-step explanation:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12

Step-by-step explanation:

x1=4,x2=3,y1=-2,y2=1

slope= (y2-y1)/(x2-x1)=(1+2)/(3-4)=-1/3

Answer:

Option D. slope = -3

Step-by-step explanation:

[tex]m=\frac{1-(-2)}{3-4} =\frac{3}{-1} =-3[/tex]

Hope this helps

Answer:

90

Step-by-step explanation:

add the ratio 3+5 to get 8

amina received 3/8 of 240

perform the calculation 3/8×240

240/8=30. , 30×3=90

Answer: m∠1 = 90°

Step-by-step explanation:

Answer:

a+b+x=180,sum of angles in a triangle

54+48+x=180

102+x=180

x=180-102

x=78

Answer:

SAS

Step-by-step explanation:

Hope this helps :)

Answer:

2x9 + 2x3

Step-by-step explanation:

You distribute the 2 to the other terms (9 and 3) in the brackets.

Answer:

2.8 Miles

Step-by-step explanation:

You subract 5.8 from 8.6 to get the answer.