Simplify the following expression.

Answer:

H=3m

Step-by-step explanation:

Volume of cylinder=pir^2h

75pi=pi5^2h

75/25=h

h=3

Answer:

The height is 3 m.

Step-by-step explanation:

The formula for the volume of a cylinder is V=πr^2h, where V is the volume, r is the radius and h is the height.

We are given r, the radius, and the volume, so all we need to do is plug it into the formula and solve for h, our height.

V=πr^2h

Substitute V for 75π and r for 5

75π=π5^2h

Square 5

75π=25πh

Divide by 25π on both sides

3=h

3 m is the height.

Answer:

30cm

Step-by-step explanation:

The formula for volume of a sphere is [tex]\frac{4}{3} \pi r^2[/tex]. If [tex]\frac{4}{3} \pi r^2=36000\pi[/tex] then r=30.

Answer:

37.5 Units

Step-by-step explanation:

Answer:

a1 is 2.

Step-by-step explanation:

a1 is the first value is an arithmetic or geometric sequence.

Answer:

$162

Step-by-step explanation:

$2 × 3

$6

$6 × 3

$18

$18 × 3

$54

$54 × 3

$162

Answer:

5 gallons per a minute

Step-by-step explanation:

1/10 x 10/1= 10/10 =1 This is because it was 1/10 of a whole and multiplying it by 10 would let us have a full minute.

1/2 x 10= 10/2 = 5 You multiply by 10 like the other which will get you how much gallons per a minute.

So to sum it all up it 5 gallons per a minute

Hope this helped

Answer:

She forgot to multiply. She wasn’t supposed to add.

Step-by-step explanation:

Jasmine made an error where the 9(9) connect. She added and got 18, but instead, you’re supposed to multiply the 9 x 9, which is 81. Now, we add the 3, and the sum is 84m.

Answer:

So sorry, I pressed the add answer button on accident!!! So sorry, I have absolutely no idea how to answer this.

Step-by-step explanation:

Answer:

14 + 11

Step-by-step explanation:

Answer:

2 x 10 + 5

Step-by-step explanation:

Given:

The quadratic equation is:

[tex]x^2-32x+54=0[/tex]

It can be written as [tex]-p=202[/tex].

To find:

The value of p in the rewritten equation.

Solution:

We have,

[tex]x^2-32x+54=0[/tex]

Isolate the constant term.

We need to make 202 on the right side. So, add 256 on both sides.

[tex]x^2-32x+256=-54+256[/tex]

[tex]x^2-32x+256=202[/tex]

[tex]-(-x^2+32x-256)=202[/tex]

Let [tex]-x^2+32x-256=p[/tex], then

[tex]-p=202[/tex]

Therefore, the value of p is [tex]-x^2+32x-256[/tex].

The given equation can be written as:

[tex]54=-x^2+32x[/tex]

Adding 148 on both sides, we get

[tex]54+148=-x^2+32x+148[/tex]

[tex]202=-(x^2-32x-148)[/tex]

Let [tex]x^2-32x-148=p[/tex], then

[tex]202=-p[/tex]

Therefore, the another possible value of p is [tex]x^2-32x-148[/tex].

Answer:

Angle 1= 107° Angle 2= 73°

Step-by-step explanation:

Angle 1 = 107°

180°-107°=73°

Angle 2= 73°

Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

Percentage a is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]\%[/tex].

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

We have,

Total shares of Penny's Pickles [tex]=10,000[/tex]

You owned shares   [tex]= 200[/tex]

So,

Using above formula,

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

Percentage of shares I owned [tex]=\frac{200}{10000} * 100[/tex]

                                                    [tex]= 2 \%[/tex]

So, the shares you owned are [tex]2\ \%[/tex] of total share of the Penny's Pickles.

Hence, we can say that Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

To know more about percentage click here

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Answer:

<6,7>

Step-by-step explanation:

u is the vector <5,1>

v is the vector < 1,6>

Add the corresponding components

< 5,1> + <1,6> = <5+1, 1+6> = <6,7>

Answer:

range is 9

Step-by-step explanation:

Answer:

angle TRU = angle TRS (RT bisects angle R)

RT = RT (Common side)

RU = RS (given)

so ∆ RUT ≅ ∆ RST (BY SAS)

Answer:

[tex]3632 {ft}^{2} [/tex]

Step-by-step explanation:

To find the area of a circle, you use the formula:

[tex]\pi \: {r}^{2} [/tex]

In your problem the radius is 34, so when you square that, multiply is by pi, and round it to the nearest whole number, the answer is 3,632.

Answer:

25

Step-by-step explanation:

9+13+3 = 25

__________

Answer:

72°

Step-by-step explanation:

cos x = 1.6/5.2 = 0.3077

x = cos`¹ 0.3077 = 72°

Answer:

6 squares

Step-by-step explanation:

Answer:

Theoretical probability is what is expected and experimental probability is the answer.

Step-by-step explanation:

Theoretical probability is what you expected the answer to be. In reality the experimental probability is the actual answer.

it's good to write it out

length = 5 + width

area = 150

width = x

length = 5 + x

area = length * width

so

(5 + x) (x) = 150

5x + x^2 = 150

x^2 + 5x - 150 = 0

following you have to guess what 2 numbers when multiplied male 150 and when added make 5

and they are 15 and 10

(x +15) (x-10)

x = -15

x = 10

so the dimensions are

length = 15

and

width = 10

Answer:

Step-by-step explanation:

Took the test :)

Answer:

x = 22.5 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FH}{AC}[/tex] = [tex]\frac{GH}{BC}[/tex] , substitute values

[tex]\frac{x}{9}[/tex] = [tex]\frac{12.5}{5}[/tex] ( cross- multiply )

5x = 112.5 ( divide both sides by 5 )

x = 22.5 cm

Answer:

The two are equivalent because when you multiply the brackets in A, you would get 24d + 6p, which is the same as B.

Step-by-step explanation:

Have a good day :)

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]p ^{2} = 0.81 \\ p = \sqrt{0.81 } \\ p = 0.9[/tex]

•°• √81 = 9 or 9² = 81

Answer:

P = 0.9

Step-by-step explanation:

Do square root Of .81.

A variable can never Have a square root OR a negative symbol

as Final answer

I hope this helps!

Darnell spends 3.32 hours on his phone this week.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Darnell wants to limit his screen time,

last week he spent an average of 3[tex]\frac{1}{2}[/tex] hours on his phone each day.

That means, 3.5 hours on the phone.

This week,

he reduced his screen time by 5% to the nearest hour.

That means,

3.5 x 5/100

= 3.5 - 0.17

= 3.32 hours.

Therefore, he spent 3.32 hours this week.

To learn more about the percentage;

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Answer:

37

Step-by-step explanation:

Use Pythagorean Theorem: a²+b²=c² (c is hypotenuse)

35²+12²=1225+144=1369

√1369=37

(Use a calculator :)

social programs

social programs

Answer:

social programs

hope it is helpful to you

Answer:

$5047

Step-by-step explanation:

im smart

deltamath gang

Answer:

BV=23

Step-by-step explanation:

BV=DV

2x+1=x+12

2x-x=12-1

x=11

BV=2(11)+1

=22+1

=23