A sphere has a diameter of 32 ft. What is its surface area?
The surface area of the sphere is
ft?. (Type an exact answer in terms of t.)

Answers

Answer 1

Step-by-step explanation:

the answer is in the above image

A Sphere Has A Diameter Of 32 Ft. What Is Its Surface Area?The Surface Area Of The Sphere Isft?. (Type
Answer 2
Answer:  1024pi

======================================================

Explanation:

The diameter 32 cuts in half to 16, which is the radius. So r = 16.

Use this to find the surface area of the sphere in the formula below

SA = 4*pi*r^2

SA = 4*pi*16^2

SA = (4*16^2)*pi

SA = 1024pi

This is the exact surface area in terms of pi.

The area units are in square feet, or ft^2 for short.


Related Questions

(6.6 × 10⁰) + (7.8 × 10²)​

Answers

Answer:

786.6

Step-by-step explanation:

Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8

6.6 + 780

786.6

Answer:

786.6

Step-by-step explanation:

Problem:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 1 - Parenthesis:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 2 - Exponents(Left to Right):

(6.6 × 10^0) + (7.8 × 10^2)​ = (6.6 × 1) + (7.8 × 100)

Step 3 - Multiply(Left to Right):

(6.6 × 1) + (7.8 × 100) = 6.6 + 780

Step 4 - Add(Left to Right)

6.6 + 780 = 786.6

Step 5 - Answer:

786.6

Remember:

Parenthesis

Exponents(Left to Right)

Multiplication(Left to Right)

Division(Left to Right)

Addition(Left to Right)

Subtraction(Left to Right)

( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với

Answers

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

help asap ---------------------------

Answers

Answer:

"D"

the start point is below zero and is doing deeper

Step-by-step explanation:

Jen's class 10 girls and 15 boys. The ratio of girls to boys in Ed's class is the same as the ratio of girls to boys in Jen's class. There are 24 boys in Ed's class. How many girls are in Ed's class?

Answers

Answer:

16

Step-by-step explanation:

Jen's class: 10 girls, 15 boys

ratio of girls to boys = 10:15 = 2:3 = 2x:3x

Ed's class

number of boys = 24

ratio of girls to boys = 2x:3x

3x = 24

x = 8

2x = 2(8) = 16

Answer: 16

Answer:

16

Step-by-step explanation:

Which of the following is the solution to the equation 25^(z − 4) = 125? (6 points)

Answers

Answer:

Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same

Answer:

z = [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]

[tex](5^2)^{z-4}[/tex] = 5³

[tex]5^{2z-8}[/tex] = 5³

Since the bases on both sides are equal, both 5, then equate the exponents

2z - 8 = 3 ( add 8 to both sides )

2z = 11 ( divide both sides by 2 )

z = [tex]\frac{11}{2}[/tex] ( = 5.5 )

Y=x+5 y = x + 5 Find four points contained in the inverse. Express your values as an integer or simplified fraction.

Answers

Answer: (0,-5), (5, 0), (10, 5) and (15,10).

Step-by-step explanation:

Given equation: [tex]y = x + 5[/tex]

To find its inverse we will find the value of x .

Subtract 5 from both sides

[tex]x=y-5[/tex]

Switch y to x, we get

y= x-5, which is the inverse function.

At x=0,

y=-5

At x= 5,

y=0

At x= 10 ,

y=5

At x= 15,

y= 10

Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).

Plotting the graph after finding the inverse function the four points contained in the inverse fucntion are:  (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2).

The given equation is,

y = x+5

To find its inverse fucntion,

Replace x with y we get.

x = y + 5

Rearranging it,

y = x - 5

So this is the inverse fucntion.

Since this is of the form of line y = mx + c

Therefore,

To find the points containing contained by inverse fucntion,

Graphing: y = x - 5

After graphing we can see that,

The four points (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2) are lies on the line.

Hence the required four points are:

(0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2)

#SPJ6

help..................​

Answers

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work

Answers

For the 8 men to finish the work it would take 16.76 days to finish the piece of work

What is 2.3(x – 2) = 15

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2.3(x - 2) = 15}[/tex]

[tex]\mathsf{2.3(x) + 2.3(-2) = 15}[/tex]

[tex]\mathsf{2.3x - 4.6 = 15}[/tex]

[tex]\large\textsf{ADD 4.6 to BOTH SIDES}[/tex]

[tex]\mathsf{2.3x - 4.6 + 4.6 = 15 + 4.6}[/tex]

[tex]\large\textsf{CANCEL out: -4.6 + 4.6 because it gives the number 0}[/tex]

[tex]\large\textsf{KEEP: 15 + 4.6 because that helps solve find the x-value}[/tex]

[tex]\mathsf{15 + 4.6 = \boxed{\bf 19.6}}[/tex]

[tex]\large\textsf{NEW EQUATION: 2.3x = 19.6}[/tex]

[tex]\large\textsf{DIVIDE 2.3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2.3x}{2.3}=\dfrac{19.6}{2.3}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{2.3}{2.3}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{19.6}{2.3}}\large\textsf{ because that gives you the value of x}[/tex]

[tex]\mathsf{\dfrac{19.6}{2.3}= \boxed{\bf x}}[/tex]

[tex]\mathsf{\boxed{\bf x}=\dfrac{19.6}{2.3}}[/tex]

[tex]\boxed{\bf {x = 8.521739}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8.521739}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:) }[/tex]

What is the formula for solving this

Answers

Answer:

<ABC = 68degrees

Step-by-step explanation:

From the diagram, the measure of the given angles are supplementary;

9x+5 + 16x = 180

25x = 180 - 5

25x = 175

x = 175/25

x = 7

<ABC = 9x +5

<ABC = 9(7)+5

<ABC = 63 + 5

<ABC = 68degrees

jsfghsjgehgeujvnegeuge

Answers

Answer:

Option 2: 67.014

Step-by-step explanation:

Please help me solve this

Answers

Answer:

5890 (none of the above)

Step-by-step explanation:

Answer:

1472.6 in³

Step-by-step explanation:

The volume (V) of the oblique cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )

Here r = 15 ÷ 2 = 7.5 and h = 25 , then

V = [tex]\frac{1}{3}[/tex] × π × 7.5² × 25

   = [tex]\frac{1}{3}[/tex] × π × 56.25 × 25

   = [tex]\frac{1}{3}[/tex] × π × 1406.25

   = [tex]\frac{1406.25\pi }{3}[/tex] ≈ 1472.6 in³ ( to the nearest tenth )

The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)

Answers

Answer: Length = (15x + 20) / 5

Step-by-step explanation:

The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:

Area = length × width

(15x + 20) = length × 5

Length = (15x + 20) / 5

Therefore, the expression is Length = (15x + 20) / 5.

Solving further, the length will be:

= (15x + 20) / 5

= 3x + 4

The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.

Answers

Answer:

The dependent variable is h and the independent variable is t

Step-by-step explanation:

Given

[tex]h(t) = 4t + 5[/tex]

Required

The dependent and the independent variable

The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.

In the above equation, the height (h) depends on time (t) for its value

Hence,

The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t

Are the following triangles similar, Explain your answer​

Answers

Yes the have the same 78° angle . The smaller one should be able to fit inside the larger one.

what are the steps to this?

Answers

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

1) En 5 horas 4 operarios fabrican 10 artículos, ¿Cuántos artículos fabricaran 3 operarios en 4 horas?

Answers

Answer:

So, in 4 hours , 3 operators makes 6 articles.

Step-by-step explanation:

In 5 hours 4 operators make 10 articles, how many articles will 3 operators make in 4 hours?

In 1 hour 4 operator makes 10/5 = 2 articles

In 1 hour , 1 operator makes = 2/4 = 0.5 article

So,

In 1 hour , 3 operators makes = 3 x 0.5 = 1.5 articles

In 4 hours, 3 operation makes = 1.5 x 4 = 6 articles

I need help with 27 and 29 plz

Answers

27) C
29) B
Remember when you are after a decimal it’s . Tenths, hundredths, thousandths

Answer:

27.C

29.B

Step-by-step explanation:

Create a linear system to model this situation. Then use substitution to solve the linear system to solve
the problem:
Bobbie has been saving dimes and quarters to buy a new toy. She has a total of 45 dimes and quarters,
with a value of $7.05. How many of each type of coin does Bobbie have?

Answers

Answer:

dimes --- x

quarters ---- 28-x

10x + 25(28-x) = 430

Step-by-step explanation:

not sure po

7/9 × 27/5 whats the answer?​

Answers

Answer:

21/5 when simplified

Answer:

4  1/5

Step-by-step explanation:   6  20  5  58

7/9 × 27/5  =  (7×27) / (9 × 5)

                 =   189 / 45           divide numerator and denominator by 3

                 =    63 / 15            simplify

                 =     4 3/15

                 =     4  1/5

THE LENGTH OF THE CAR IS 435 CM. THE LENGTH F THE GARAGE IS 6 M. HOW MANY CENTIMETERS LONGER IS THE GARAGE THAN THE CAR?

Answers

Answer:

235cm longer

Step-by-step explanation:

convert 6m into centimeters which gets you 600cm so you do this:

600 - 435= 235cm

therefore the garage is 235cm longer than the car.

Answer:

600-435 = 165 cm the garage 165 cm is longer than the car

Question 8
A scuba diver was thirty feet below the surface of the water and ascended
thirteen and a half feet. The diver then descended an additional fifteen feet
from the surface of the water. What is the location of the diver in the water?
a.-48 feet
b.-31.5 feet
c. - 27.5 feet
X d. -28 feet

Answers

It’s b

Explanation

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down down so you add 15. That’s how you get the answer.

Answer:

b

Step-by-step explanation:

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.

Simplify 6(x + 3). i suck at math pls help

Answers

Answer:

6x +18

Step-by-step explanation:

6(x + 3)

Distribute

6*x + 6*3

6x +18

Answer:

6x + 18

Step-by-step explanation:

Given

6(x + 3) ← multiply each term in the parenthesis by 6

= 6x + 18

The product of two integers is (-112).
If one of them is (-8), find the other.​

Answers

Answer:

14

Step-by-step explanation:

To find the other number , divide -112 by -8 and you will get 14.

https://brainly.in/question/1284951 - see this link have a answer ;)

Find f(3) given f(x) = -3x^3 + 2x^2 + 24
A. 123
B. -39
C. 69
D. 99

Answers

The correct answer is d

If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.

Answers

Given:

θ is an angle in standard position and its terminal side passes through the point (-4,-9).

To find:

The exact value of tanθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:

[tex]\tan \theta=\dfrac{-9}{-4}[/tex]

[tex]\tan \theta=\dfrac{9}{4}[/tex]

Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].

The masses to the nearest kilogram of nine men were:

75, 68, 78, 82, 85, 90, 88, 92, 76.

Calculate the mean mass​

Answers

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]

Step 2, dividing by the # of terms:

There are 9 terms in total.

[tex]\frac{734}{9} =\\81.556[/tex]

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.

I hope this helps! Let me know if you have any questions :)

82kg is the answer I did research and I’m 90% sure that the answer

Each of 3 water sprinkler systems covers a semicircle with radius 2m on the

side of a house shown.

What amount of area remains dry? Show your work to explain how you go

your answer, to the nearest square meter. (Dry area is in the shaded

region.)

Answers

Answer:

5 meters

Step-by-step explanation:

We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;

Area of rectangle = Length * width

Length = 12 ; width = 2

Area of rectangle = 12 * 2 = 24 m²

Area of semicircle = πr² / 2

The radius, r of each semicircle = 2

Area of each semicircle = π * 2² / 2 = 6.283 m²

Area of the 3 semicircles = 3 * 6.283 = 18.849 m²

Area of dry region:

(24 - 18.849) m²

= 5.151 m²

= 5 m

Will mark brainliest!!!

Answers

Answer:

option C , D , E

Step-by-step explanation:

[tex]\sqrt{\frac{1}{16}} = \frac{1}{4} => not \ irrational\\\\\sqrt{\frac{1}{4}} = \frac{1}{2} => not \ irrational\\\\\sqrt{\frac{1}{2}} = > \ irrational\\\\\sqrt{\frac{1}{10}} =>\ irrational\\\\\sqrt{\frac{1}{8}} =>\ irrational\\\\[/tex]

Answer:

1/2, 1/10, 1/8

Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets

Answers

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

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