Select the closest answer. *
20 points
1. Find the surface area of a sphere with a radius of 4.2 centimeters.
A. 235.6 cm?
C. 121.4 cm
B. 310.3 cm
D. 221.7 cm
A
B
С
OD
Select the closest answer.

Answers

Answer 1

Answer:

D. 221.7 cm

Step-by-step explanation:

Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]

'r' - radius

We are given the radius of 4.2 centimetres.

[tex]SA=4\pi 4.2^2\\4 * \pi * 4.2^2\\\rightarrow 4.2^2 =17.64\\\text {Using 3.14 for pi: }\\4 * 3.14 *17.64\\12.56*17.64\\\boxed {221.5584}[/tex]

221.5584 ≈ 221.6

The closest answer is Option D, therefore it should be the correct answer.


Related Questions

What is the slope of (-1,2) and (0,-4)

Answers

Answer:

- 6

Step-by-step explanation:

[tex]slope = \frac{ - 4 - 2}{0 - ( - 1)} = \frac{ - 6}{0 + 1} = \frac{ - 6}{ 1} = - 6 \\ [/tex]

Factor x2 – 8x + 15.

Which pair of numbers has a product of ac and a sum of b?

Answers

Answer:

(x - 5)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8[/tex]

Which describes the role of oxygen in photosynthesis?
It is a reactant, so it is released by the plant.
It is a product, so it is released by the plant.
It is a reactant, so it enters the plant.
It is a product, so it enters the plant,

Answers

Answer:

the answer is the first one.

Step-by-step explanation:

Answer:

b: It is a product, so it is released by the plant.

Step-by-step explanation:

good luck

What is the GCF of 45 and 72?

Answers

Answer:

The common factors of 45 and 72 are 9, 3, 1

Step-by-step explanation:

Answer:

The GCF of these two numbers is nine.

Step-by-step explanation:

They share three common factors: 1, 3 and 9. The greatest out of all of those is 9. Hope this helps!

Elijah and Bentley go to the movie theater and purchase refreshments for their friends.

Elijah spends a total of $59.00 on 4 bags of popcorn and 10 drinks.

Bentley spends a total of $90.00 on 8 bags of popcorn and 6 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

Answers

Answer:

x4+y10=59

Step-by-step explanation:

Answer: let P stand for the popcorn and D stand for the drink. Use substitution method

equation: 4P+10D=59   and  8P+6D=90

One drink is 2 dollar and one popcorn is 9.75 dollar.

Step-by-step explanation:

Start with 8P+6D=90, subtract 6D from both side and you will get 8P=90-6D then divide both side by 8 and you will get P=(45/4)-(3/4D) then substitute the P in the 4P+10D=59 with (45/4)-(3/4D) and the equation will be 4(45/4)-(3/4D)+10D=59. then distribute the 4 and get 45-3D+10D=59 then add the like term and get 45+7D=59 then subtract 45 from both side and get 7D=14 the divide 7 on both side and you will end up with D=2. then substitute the D in the 8P+6D=90 with 2 and the equation will be 8P+6(2)=90 then you distribute the 6 and get 8P+12=90 then subtract both side to get 8P=78 then divide both side by 8 and get 9.75. Popcorn cost $9.75 and drink cost $2.

What is the value of x in the equation 0.7x -1.4 = -3.5?
-7
x
-3

Answers

X is -3 that’s the answer

Answer:

–3

Step-by-step explanation:

i got 90% on my quiz also may i pleas get brainliest

solve for x
4x+5(5x-39)=153

Answers

Answer:

x=12

Step-by-step explanation:

4x+5 (5x-39) = 153

4x + 25x - 195 = 153

29x - 195 = 153

29x =  348

x = 12

simplify the expression (3k / 8)^2​

Answers

Answer:

9k/64^2 (9k^2/64^2)

Step-by-step explanation:

Answer:

9k^2/64

Step-by-step explanation:

3*3=9

k*k=k^2

8*8=64

1.4.2 Suppose a car dealership offers a low interest rate and a longer payoff period to customers or a high interest rate and a shorter payoff period to customers, and most customers choose the low interest rate and longer payoff period, does that mean that most customers want a lower interest rate? Explain.

Answers

Answer:

Yes, customers that deal on cars

But no, if not car customers.

Step-by-step explanation:

Most customers of cars want lower interest rate because it gives them opportunity to work for a longer period and gradually make the profit and pay back.

Even if it will take time that was why the dealer made it longer time.

But this might not apply to customer to other services because they might have their own principles or government/policies or interest rate to their customers.

1.] What is the probability of choosing a king
from a standard deck of playing cards?

Answers

Answer:

1/13

Step-by-step explanation:

there are 4 kings in a deck of 52 cards.

4/52 = 1/13

Work out the value of x

Answers

Answer:

x=40°

Step-by-step explanation:

Since the 2 sides of the triangle are equal, the angles are also equal. 180-110=70 so to find the angle measurement of x we have 180-70-70=40 x is 40°

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

It is forsure A has to be

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Square roots are 5 and 6

since you cannot simplify 5/6 anymore, that is the answer

I'll give you brainiest

Explain how to translate the statement into an equation. Use n for the variable.
Sixty-three is the product of nine and a number.

Answers

Answer:

9n= 63

n=7

Step-by-step explanation:

hope this helps, good luck. :)))

brainliest ?? :)))

Based on the statement sixty-three is the product of nine and a number, the equation will be 9n = 63.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

WE have been given that sixty-three is the product of nine and a number, Use n for the variable.

We need to find the statement into an equation.

The equation in this case will be as follows;

9n = 63

n = 63/9

n = 7

Therefore, the equation is 9n = 63 and the value of n is 7.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

A boat sailed 560 km in 8 hours. It took three hours to travel
the first 150 km. What was its average speed for the
remaining journey?
km/h​

Answers

Step-by-step explanation:

150 km in 3 hours

= 150 ÷ 3 = 50km/h

Remaining distance = 560 - 150 = 410

Remaining hours = 8 - 3 = 5

Then average speed = 410 ÷ 5 = 82 km / h

X/7 ≥  -6 solve for x

Answers

Answer:

x>=42

Step-by-step explanation:

multiply by 7 on both sides

33,29,25,21, determine if the sequence is arithmetic

Answers

Answer:

  it is

Step-by-step explanation:

First differences are ...

29 -33 = -425 -29 = -421 -25 = -4

First differences are all the same, so we say the terms have a "common" difference. That is characteristic of an arithmetic sequence.

Yes, this sequence is arithmetic.

Answer:

Yes, in all cases the new term is 4 less than the previous term, and so this sequence is arithmetic.

Step-by-step explanation:

If arithmetic, this sequence must have one and only one difference between terms.

33 - 4 = 29

29 - 4 = 25

25 - 4 = 21

Yes, in all cases the new term is 4 less than the previous term, and so this sequence is arithmetic.

Factor the expression 4x + 32. Explain each step you
take in the process.

Answers

Answer:

4(x+8)

Step-by-step explanation:

4x + 32

Factorization:

4x: 2×2×x

32: 2×2×2×2×2

Highest common factor: 2×2 = 4

4x + 32

(4×x) + (4×8)

Using distributive property:

4(x + 8)

Answer:

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

Two trains leave stations 390 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

Answer:

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour

Answer:

2.6 hours ( or 2 hours 36 minutes).

Step-by-step explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time,  so time = distance / speed.

So the time when they will meet

=  390 / 150

= 2.6 hours.

Jakob is asked to simplify the expression –3a + 4b + 5a + (–7b).

He writes: –3a + 4b + 5a + (–7b) = –3a + 5a + 4b + (–7b).

Which property allows him to do this?
the associative property
the commutative property
the distributive property
the additive identity property

Answers

Answer:  b commutative property

Step-by-step explanation: idid the test and i got it right

The property of algebra that allowed jakob simplify the given expression as stated is called; B: The commutative Property

What is a commutative Property?

She wants to simplify the expression -3a + 4b + 5a + (-7b)

Now, there are different properties of algebra but the one that jakob used here is called commutative property of algebra.

Commutative property is expressed as an example like;

a + b = b + a

Thus, using commutative property, he arrived at –3a + 4b + 5a + (–7b) = –3a + 5a + 4b + (–7b).

Read more about commutative property at; https://brainly.com/question/2475734

Can anyone help please? With questions 4 please

Answers

Answer:

a. The area of the garden is 11.68 [tex]m^{2}[/tex]

b. $192 and then $177

Step-by-step explanation:

a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37

then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle

so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]

b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)

16*$12=$192, then 5($33)+$12=$177

A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to conduct a test of significance of whether more than 95% of all American adults feel that cameras should be banned from the courtroom. What would you tell this student

Answers

Answer:

a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.

What is the meaning of life

Answers

Answer:

The answer of life is 42 just look it up

Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81

Answers

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

What is 1+1 HELP IDK THIS AND MY FAMILY DOESNT EITHER

Answers

Answer:

1+1 is 2..

Step-by-step explanation:

Answer:

maybe 2 or 11 or 1 or IDDKK

Step-by-step explanation:

Given the speeds of each runner below, determine who runs the fastest.

Noah runs 15 feet per second.\text{Noah runs 15 feet per second.}

Noah runs 15 feet per second.

Jake runs 101 feet in 8 seconds.\text{Jake runs 101 feet in 8 seconds.}

Jake runs 101 feet in 8 seconds.

Debbie runs 1 mile in 455 seconds.\text{Debbie runs 1 mile in 455 seconds.}

Debbie runs 1 mile in 455 seconds.

Stephanie runs 869 feet in 1 minute.\text{Stephanie runs 869 feet in 1 minute.}

Stephanie runs 869 feet in 1 minute.

Answers

Answer:

Stephanie runs the fastest.

Step-by-step explanation:

Answer:

noah

Step-by-step explanation:

A fraction that is equivalent to 6/-5?

Answers

Answer:

12/-10

Step-by-step explanation:

Any multiple of a fraction is the equivalent of the original fraction, the only difference is that it wont be fully simplified. If we multiply the original fraction (6/-5) by 2, both the numerator and denominator, you will get 12/-10.

Answer:

12/-10

Step-by-step explanation:

6/-5

6×2= 12

-5×2=-10

12/-10

Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2

Answers

Answer:

  8x +6y -28

Step-by-step explanation:

The outside factor applies to each inside term, so the equivalent expression is ...

  -8(-x -3/4y +7/2) = 8x +6y -28

Applying the distributive property once again, we can also write the equivalent expression ...

  = 2(4x +3y -14)

__

There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.

Gymnastics lessons cost $10 per session, plus a one-time fee of $25. Shawn went to 7 sessions. Write an equation that can be used to find how much Shawn paid ?

Answers

Answer: y=10x+25

y=10(7)+25

=70+25

=$95

Step-by-step explanation:

4 points
The base of a rectangular swimming pool is sloped so one end of the pool is 6 feet
deep and the other end is 3 feet deep, as shown in the figure. If the width is 15 feet,
find the volume of water it takes to fill the pool.
20 ft
6 ft
10 ft
Your answer

Answers

Answer:

1575 cubic feet

Step-by-step explanation:

Is p = –11 a solution to the inequality below?

p
> –5

Answers

Answer:

not a solution

Step-by-step explanation:

p > -5

Let p = -11

-11 > -5

This is a false statement

It is not a solution

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