Part A. The height of a right circular cone is 10 inches. The radius of the base of the cone is 2.5 inches. What is the volume of the cone rounded to the nearest cubic inch? Enter your answer in the box.

Part B. The volume of a right cylinder is 7,448pi cubic centimeters. The diameter of the base of the cylinder is 28 centimeters. What is the height, in centimeters, of the cylinder? Enter your answer in the box.​

Answer:

9x/y³

Step-by-step explanation:

The simplification of the expression 9x⁰y⁻³ will be 9/y³.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In another word the mathematics of power or exponent of any number is called indices.

As per the given expression,

9x⁰y⁻³

By the law of indices that, [tex]x^{-m}[/tex] = 1/[tex]x^{m}[/tex]

9x⁰y⁻³ = 9x⁰ × 1/y³

⇒ 9(1)/y³ = 9/y³

Hence "The simplification of the expression 9x⁰y⁻³ will be 9/y³".

To learn more about indices,

https://brainly.com/question/170984

#SPJ2

Answer:

1) They forgot to multiply 2 times (2x+5)

2) x-2 is not equal to -(x+2).

3) The correct expression is [tex]x-1-1+2x=1-3x[/tex]

4) The correct way is [tex]4(2x+3)=3(1-3x)[/tex]

Step-by-step explanation:

1) In this case they forgot to multiply 2 times (2x+5). Let's recall we need to multiply (2x+5) to all terms of the equation.

2) Here, x-2 is not equal to -(x+2). If we see -(x+2) = -x-2 using the distributive property.

3) After multiplying by (3x-2) we will have:

[tex]x-1-(1-2x)=1-3x[/tex]

Apply the distributive property again, we will have:

[tex]x-1-1+2x=1-3x[/tex]

So the correct term is 2x not -2x.

4) When we multiply by (1-3x)(2x+3) on each side of the equation, we will have something like this:

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

If we see we can simplify the same terms on each side of the equation.

[tex]4(2x+3)=3(1-3x)[/tex]

This is the correct way to do this.

I hope it helps you!

Answer:

Required equations:

Solve by substitution x = 8 - y

Find x:

Answer: 5 adults and 3 students

Equations:

Solve by elimination, subtract the equations:

Find x:

Answer: Gloves cost $8.5, hats cost $6.5

Answer:

d = 9.84 m

Step-by-step explanation:

The dimensions of an envelope are 9 inches by 4 inches.

We need to find the maximum possible length of the pencil.

Let it be d. It can be calculated using Pythagoras theorem such that,

[tex]d=\sqrt{9^2+4^2} \\\\d=9.84\ m[/tex]

So, the maximum possible length of the pencil is 9.84 m./

Answer:

1. x = 5

Step-by-step explanation:

1.

The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.

In this problem you can see that 5x - 1 is the midsegment of the trapezoid, so using the rule:

[tex](21 + 27) / 2 = 5x -1[/tex]

solve:

[tex]48/2 = 5x-1\\24 = 5x - 1\\25 = 5x\\x= 5[/tex]

2. Diagonals are congruent

You can see in this picture that the diagonals are not always congruent:

Answer: The percentage discount for the cost of the boots= 18 %

Step-by-step explanation:

Discount equals   Price before Discount( original price )  −  Price after Discount

=$36.00  −$29.52

=$6.48

Percentage discount =  Discount / Price before Discount ( original price) X 100

= $6.48 / $36.00 x 100

= 0.18 x 100

= 18 %

Answer:

Plug in a 3 every time you see an "x" and the left side should equal the right side

Step-by-step explanation:

Answer:

Step-by-step explanation:

c=.2, z=1.5(.2), n=1.5(1.5).2

s+c+z+n=1

s+.2+1.5(.2)+1.5(1.5).2=1

s+.2+.3+.45=1

s+.95=1

s=.05

So Sophia ate 5% of the pizza

Answer:

Sophia ate 5%.

Step-by-step explanation:

Caden ate 20%. Zoe ate 50% more than him, so 150% of 20%. That is 20+half of 20, which is 30. So zoe ate 30%. Noah ate 50% more than her, so 150% of 30%, which is 45%. Add them together and get 95%. That leaves 5% for Sophia to eat.

Answer:

x=2

Step-by-step explanation:

9x - 3 = 6x + 3

    + 3         + 3

----------------------

9x = 6x + 6

-6x  -6x

----------------------

3x = 6

---    ---

3      3

----------

x=2

Answer:

71+112+48+x=360

231+x=360

x=360-231

x=129

the measure for the missing angle is 129

Answer:

b < - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{7}[/tex] > b + [tex]\frac{5}{7}[/tex] ( multiply through by 7 to clear the fractions )

2 > 7b + 5 ( subtract 5 from both sides )

- 3 > 7b ( divide both sides by 7 )

- [tex]\frac{3}{7}[/tex] > b , then

b < - [tex]\frac{3}{7}[/tex]

Answer:

Refer to explanation^

Step-by-step explanation:

Find out the value of each card.

4 - 10 = 6

-4 + (-10) which is -4 - 10 = -14

-4 + 10 = 6

4 + (-10) which is 4 - 10 = -6

4 - (-10) which is 4 + 10 = 14

-4 - 10 = -14

-4 - (-10) = -4 - 10 = -14

4 + 10 = 14

Find the cards which have the same value and just match them up.

Answer:

D. 15 in

Step-by-step explanation:

420 divided by 28 equals 15.

Answer:

$39

Step-by-step explanation:

First we need to find 35% of 60:

0.35 * 60=21

All we have to do after that is subtract 35% of 60 from 60:

60-21=39

And yeah the answer is 39!

I hope this helped! :)

Answer:

C=10

Step-by-step explanation:

A^2 + B^2 = C^2

A=6

B=8

C=?

A^2=36

B^2=64

C^2=100

Answer:

-1

Step-by-step explanation:

It would be -1.

First, you can bring the negative sign outside, calculate 3 divided by 3 (which would be 1). Lastly, bring the negative sign back, so now you would have -1 as your answer.

Answer:

the answer will be 56ef i guesss...

The value of given product is 56ef.

Here,

We have to simplify; 7 x e x f x 8.

What is the product?

When we multiply two numbers, the answer is called the Product.

Now,

The expression is,

⇒ 7 x e x f x 8

After product we get;

⇒ 7 x e x f x 8 = 56ef

Hence, The value of given product is 56ef.

Learn more about the product visit:

https://brainly.com/question/28101687

#SPJ2

Answer:

u is 3.14118137

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

by poop needs 5 more poin

Answer:

Step-by-step explanation:

7(8)?

Answer:

-957

Step-by-step explanation:

... -915, -929, -943, -957, -971, -985, -999 ...

Answer:

p=25 degrees

Step-by-step explanation:

70 and 20+2p are verticle angles, so they are equal

70=20+2p

-20-20

50=2p

/2   /2

25=p

Answer:

p = 25 degrees

Step-by-step explanation:

2p = 70 - 20

2p = 50

p = 50 / 2

p = 25

Hope that helps!

Answer:

Step-by-step explanation:

Answer:

[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]

Step-by-step explanation:

Hello there!

First lets find the value of each irrational number

[tex]6 = 6\\\\\sqrt{29} =5.385164807\\\\2\pi =6.283185307\\\\3\sqrt{8} =8.485281374[/tex]

now we can easily put them in order from least to greatest

5.3,  6,   6.2,  8.4

then we change it to its irrational form

so the correct order would be

[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]

Answer:

your answer will be Option D

Step-by-step explanation:

hope it helps

Answer:

x=−0.292355

Step-by-step explanation:

Answer:

I don't have a calculator with me but do 33.33 x 4 because 33.33 x 4 is 12 quarts which is equal to 3 gallons and then see which is cheaper