Find the area of a circle with a radius of 21 inches. Use 22/7 for pi .

Answers

Answer 1

Answer:

okay so the area is 1386inches2

Step-by-step explanation:

[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]


Related Questions

2. What is the solution to the following equation? 2.2(4a + 5) = 1.8a - 3 A. a = -7 B. a = -2 C. a = 2 D. a = 7​

Answers

Answer:B.a= -2

2.2(44a+5)=1.8a-3

8.8a+11=1.8a-3

8.8a-1.8a=-3-11

7a=-14

:a=-2

Step-by-step explanation:

What geometric shapes can you draw that have exactly four pairs of perpendicular sides? Use

pencil and paper. Sketch examples for as many different types of shapes as you can.

Which of these types of geometric shapes can have exactly four pairs of perpendicular sides?

Select all that apply.

A. Triangle

B. Parallelogram

OC. Rectangle

D. Regular pentagon

Answers

Answer:

rectangle

it has four perpendicular sides

each perpendicular is 90degree

Answer: Rectangle and square

Step-by-step explanation: They both have four right angles

please help I can't figure out the mode

Answers

Answer:

The mode is the number that appears the most.

Therefore the answer is 7.

Answer:

7

Step-by-step explanation:

the mode is the number that appears the most in a data set. In this data set the number that appears the most is 7.

Find the perimeter of the cabin below.​

Answers

the image is formed of a rectangle and a square

perimeter of the cabin = perimeter of rectangle + perimeter of square

= 2(l+b) + 4×side

= 2(7+5) + 4×5

= 24 + 20

perimeter of the cabin = 44 cm

The price of an item has been reduced by 45 percent The original price was 99
awnser pls

Answers

54.45 is the correct answer

Volume of a Cone Level 1

Answers

The volume of the cone is the amount of space in it

The volume of the cone is 264.3 cubic inches

How to determine the volume?

The given parameters are:

Height, h = 9.9 inDiameter, d = 10.1 in

The volume of a cone is then calculated as:

V = 1/3π(d/2)²h

This gives:

V = 1/3 * 3/14 * (10.1/2)² * 9.9

Evaluate the product

V = 264.256905

Approximate

V = 264.3

Hence, the volume of the cone is 264.3 cubic inches

Read more about volumes at:

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5. A bottle contains 2 liters of juice. How many milliliters of juice is that?

Answers

Answer:

The answer would be 2000

Step-by-step explanation:

Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

answer is 3

a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 25 - 16
b^2 = 9
b = square root of 9
b = 3

Please help me out! I would also love an explanation on how to find the ratio and the answer​

Answers

Answer:

A

Step-by-step explanation:

This will have slope in it, so bear with me.

We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)

Lets fill it out.

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

It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]

So it is A

Please help with both precalc questions! 2 dif problems

Answers

Answer:

Step-by-step explanation:

For the first problem you have:

[tex]sin^2(x)-sin(x)=0[/tex]

Factor out a sin(x) to get:

[tex]sin(x)[2sin(x)-1]=0[/tex]

Individually, set both terms equal to zero:

[tex]sin(x)=0[/tex]

[tex]2sin(x)-1-0[/tex]

The first equation is asking "sine of what angle gives zero?" The sine of 0 will give zero, and so will the sine of pi, and 2pi, etc. Therefore, you can generalize this by saying the solution is pi multiplied by an integer 'n' where 'n' can be from zero to infinity:

[tex]x=n\pi[/tex]

where n = 0, 1, 2, 3, 4, 5, etc..

(make sure you specify that 'n' can equal zero.)

For the second equation, add 1 to both sides to get:

[tex]2sin(x)=1[/tex]

Divide both sides by 2 to get:

[tex]sin(x)=\frac{1}{2}[/tex]

Sine of what gives 1/2? Sine of pi/6 gives 1/2, and so does 5pi/6. Therefore, the two solution here would be pi/6 plus a phase shift of 2pi, and 5pi/6 plus a phase shift of 2pi:

[tex]x=\frac{\pi }{6} +2n\pi[/tex]

[tex]x=\frac{5\pi }{6} +2n\pi[/tex]

The second problem states that:

[tex]cos(u)=\frac{4}{5}[/tex]

Cosine is defined as the adjacent side of a right triangle divided by the hypotenuse of the right triangle:

[tex]cos(u)=adjacent/hypotenuse[/tex]

After drawing a triangle, the adjacent side is 4, and the hypotenuse is 5. But first, lets rewrite sin(2u) using the double angle identity to get:

[tex]sin(2u)=2sin(u)cos(u)[/tex]

But we know the value of cosine of 'u', it is 4/5. Therefore:

[tex]sin(2u)=2sin(u)*\frac{4}{5}[/tex]

[tex]sin(2u)=\frac{8}{5} sin(u)[/tex]

To find the sine of 'u', use the triangle you should have constructed when I defined cosine as the adjacent over the hypoptenuse. Sine is defined as the opposite over the hypotenuse. We have:

[tex]sin(u)=opposite/hypotenuse[/tex]

We have the adjacent, we have the hyppotenuse, and we want the opposite. If we find the opposite side, we can find the sin(2u). Use pythagogrean's theorem to find the opposite:

[tex]adjacent^2+opposite^2=hypotenuse^2[/tex]

[tex]4^2+opposite^2=5^2[/tex]

[tex]opposite^2=25-16[/tex]

[tex]opposite=3[/tex]

Finally, we have that:

[tex]sin(u)=\frac{3}{5}[/tex]

Or:

[tex]sin(2u)=\frac{8}{5}*\frac{3}{5} =24/25[/tex]

Hopefully you could follow along. There is a lot going on here, but since youre in pre-calc, you should be able to follow along as long as you follow my steps.

Expand & simplify
4
(
2
g
+
3
)

5
(
4
g

4
)

Answers

Answer:

-12g+32

Simplify and combine like terms.

What is the slope of the line that passes through the points (1, -6) and (-2, –8)?
Write your answer in simplest form.

Answers

Answer:

Where the line is going

Step-by-step explanation:

Put attention next time

Ps. Just check if its on x or on the y

The slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

Here the points are(1, -6) and (-2, –8) :

and it is to find the equation of line passing through these points :

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (-8+6)/(-2-1)

m = -2/-3

m = 2/3

Therefore, the slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.

More can be learned about linear functions :

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Write a real-world problem to compare fractions.then solve the problem

Answers

The fraction computed shows that the total quantity of meat that Joy bought is 5/6kg.

How to solve the fraction?

The fraction can be explained thus: Joy bought 1/2kg of meat from a store and bought 1/3kg of meat from store B. What is the total quantity of meat that Joy bought?

The total quantity of meat that Joy bought will be:

= 1/2 + 1/3

= 5/6

In conclusion, the correct option is 5/6kg.

Learn more about fractions on:

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Is it possible for a rhombus to have an angle of 120° and an angle of 30°?
give an explanation please.

Answers

Answer:

Step-by-step explanation:

if I’m correct please mark Brainalist

From the properties of a Rhombus;

Opposite angles of a rhombus are equal. The adjacent angles of a rhombus are supplementary, i.e. adds up to 180 degrees.

If one of the angles of a rhombus is 120 degrees, and sum of the adjacent angles is 180 degrees, then, the adjacent angle will be 60 degrees (180-120=60)

If one of the angles of a rhombus is 30 degrees, then, the adjacent angle will be 150 degrees (180-30 =150)

Thus, the sum of 120 and 130 is not supplementary and definitely can not be adjacent

Hence, it is not possible hope this helps !

No, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.

What is rhombus?

" Rhombus is a quadrilateral whose opposite side are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary."

According to the question,

Given,

Measure of the angle are 120° and 30°.

If we consider both the angles are opposite [tex]120 \neq 30[/tex]

then as per property of congruent angle in rhombus,  it is not correct.

For adjacent angle, [tex]120 + 30 \neq 180[/tex] they are not supplementary.

Again it is not true for rhombus.

Hence, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.

Learn more about rhombus here

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Please Help!!! Will Mark Brainliest!

Answers

Step-by-step explanation:

from my side it's blury, try to send it again

The function h defined by h (t) = 4.9 (10+t) (10 - t) models the height, in meters, of an object t seconds after it is dropped from a
helicopter

Answers

Answer:

(a) 10 seconds

(b) 490 meters

Step-by-step explanation:

(A)

When the object hits the ground, it shows that the height is 0. Hence, h(t) = 0.

0 = 4.9(10+t)(10-t)

0 = (10+t)(10-t)

t = 10, -10

Since time cannot be negative, t = -10 will be rejected.

Therefore, t = 10 seconds

(B)

Based on the question, "t seconds after the object is dropped from a helicopter", means that the time starts right after the object is dropped from the helicopter, this shows that t = 0.

h(0) = 4.9(10+0)(10-0)

= 4.9(100)

= 490 meters

Miguel scored 74 points in his first 5 games this season. how many points has he scored per game?

Answers

Answer:

14.8

Step-by-step explanation:[tex]\frac {74}{5}[/tex]

____________________________________________________

Evaluate the equation/expression:

[tex]14.8[/tex]

I hope this helps you

:)

Answer:

You can divided 74 by 5. 5 fits into 7 once so you subtract 5 and you are left with 2. Then bring down the 4 and you have 24. 5 fits into 24 only 4 times so you would subtract 20 from 24 and be left with 4. Then add a decimal point and a 0. Bring down the 0 and you'll have 40. 5 fits into 40 exactly 8 times so 40 - 40 = 0. The answer is 14.8

Step-by-step explanation:

Do number 5 please. Please bots don’t answer I’m just trying to get help!!!! :( please

Answers

Answer:

(a) 40 units

Step-by-step explanation:

32/16=2

20 times 2=40

Answer:

A

Step-by-step explanation:

Since square pyramids A and B are similar, they need to have similar lengths.

Pyramid B's lengths are 2 times larger than that of pyramid A.

Pyramid A: 16 units, 16 units, 20 units.

                     *2            *2           *2

Pyramid B: 32 units, 32 units, ? units

So, the missing side length has to be 20 *2 = 40 units.

Please mark as brainliest!

Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.

Answers

Answer:

Below in bold.

Step-by-step explanation:

By proportion she can make 3 1/3 * 1 / 2 1/2 truffles

= 10/3 * 1 / 5/2

= 10/3 * 2/5

= 20 / 15

= 1 1/3 dozen truffles from 1 pound chocolate.

1 1/3 dozen  truffles is made from 1 pound

4/3  . . ..   ..     ..    ..   ..   ..         1  pound

1     . . ..   ..     ..    ..   ..   ..          3/4    ..

5     . . ..   ..     ..    ..   ..   ..         3/4  * 5  =  15/4 pound of chocalote=

3 3/4 pounds chocolate.

okay, triangular prism volume formula. b is base, B is area of base (i think) V is volume, h is height, but I forgot what H is.
Also, how has your day been? :)

Answers

Answer:

good and how do you forget wut H is?

Step-by-step explanation:

Describe the graph of the function. y = |x – 4| – 7

The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).

Answers

Answer:

The graph is an absolute value function with vertex (4, –7)

Step-by-step explanation:

|x-4| is always positive

minimal value of |x-4| = 0

x-4 = 0           x=4

y = |4-4| - 7 = -7

Find the surface area of the prism below.

Answers

Answer:

the surface area of the prism = 378 cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

_______

Formula

S = 2B + T

_________

[tex]\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}[/tex]

[tex]\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}[/tex]

[tex]\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}[/tex]

P=1/2

q=-1/3

r=1/5


30pqr(p+q+r)/(p+q)(p+r)


Answer -22/7

Answers

Answer:

Given:

[tex]p=\dfrac12[/tex][tex]q=-\dfrac13[/tex][tex]r=\dfrac15[/tex]

Given expression:

[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]

Substitute given values into given expression:

[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]

[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]

[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]

[tex]\implies -\dfrac{660}{210}[/tex]

[tex]\implies -\dfrac{22}{7}[/tex]

Please help, i will mark as brainliest

it is given that the volume of the paint, x litres, varies directly as the area of the wall, d m². if 3 litres of paints can paint 36 m² of wall, calculate the volume of the paint in litres, needed to paint a wall of 9 m in height and 5 m in width.​

Answers

Answer:

3.75 L

Step-by-step explanation:

3 liters / 36 m^2 = x liters / 9 x 5 m^2

3 liters / 36 m^2 = x liters / 45 m^2

(45)(3) = (x)(36)

(135) = (x)(36)

x = (135)/(36)

x= 3.75 L

PLEASE HELP ME????



THank you ! :)

Answers

you can replace the m with 14 to get an equation of: 52+14=66

Hi please help me with this thank you so much, kk reward branliest

Answers

Answer:

1. B = 61.5 ft²2. h = 12 ft3. V = 738 ft³

Step-by-step explanation:

Firsly ,we notice that the base of the prism is a regular pentagon

regular means the five sides of the pentagon are equal in measure .

_______

Formula :

Area of a regular pentagon B = 1/2 × p × a;

where p is the perimeter of the pentagon

          a is the apothem of the pentagon

_______________________________

then p = 5×6 = 30 ft

a = 4.1 ft. (Given)

therefore ,

B = 1/2    ×  p  ×   a

   = (1÷2) × 30 × 4.1 = 61.5 ft²

height of the prism h = 12 ft  (given)

Volume V = B × h = 61.5 × 12 = 738.ft³

what is the product of 237 and 962?

Answers

Answer:

227994

Step-by-step explanation:

Answer:

value x value = product

237 x 962 = product = 227,994

Step-by-step explanation:

hope this helps,

Convert: 2589 millimeters = ______ kilometers

A. 2,589,000,000 km

B. 2,589,000 km

C. 0.002589 km

D. 0.2589km

Answers

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

Please help asap.
I will give brainliest

Answers

Answer:

#1 20

#2 17

#3 14

#4 14

#5 12

#6 14

#7 10

#8. 20

#9. 20

Step-by-step explanation:

1 12+8=20

2 10+7=17

3 8+6=14

4 8+6=14

5 10+2=12

6. 8+6=14

7 4+6=10

8. 12+8=20

9 14+6=20

Now honey I can't do all your work for you im.not trying to be mean but work some.out heres a tip use a calculator to help you when you get stuck ask me your question and then I will hold you ok

What is 180 divided by 2

Answers

Answer:

90

Step-by-step explanation:

Do it on the calculator 180÷2

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