The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

Answers

Answer 1

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

[tex]A_{circle} = \pi r^2[/tex]

[tex] \pi r^2 = 46 [/tex]

[tex] r^2 = \dfrac{46}{\pi} [/tex]

[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]

[tex] r = 3.83 ~in.[/tex]

surface area of sphere

[tex] SA = 4 \pi r^2 [/tex]

[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]

[tex] SA = 184~in.^2 [/tex]


Related Questions

The average ratio of cats to dogs in the uk is 13:15 there are 5200 cats in the city of Bristol . Using the national average ratio , estimate how many dogs there are in the city of Bristol

Answers

Answer:

5,999

Step-by-step explanation:

The difference between 30 and a number is 4.

Answers

Answer:

26

Step-by-step explanation:

30-4=26

thirty minus four equal 26

30-4=26 the difference is 26

what is 067÷ 32.16?​

Answers

Answer:

2.08

Step-by-step explanation:

Answer:

2.0833333333333

Step-by-step explanation:

use calculator


PLEASE HURRY I WILL MARK BRAINIEST

The new wing of an art
museum has 3 times
as many windows as
the old wing. Together,
both wings have
32 windows. How many
windows are in
the new wing?

Answers

Answer: 24

Step-by-step explanation:

32/4 = 8

3 * 8 = 24

24 + 8 = 32

There are 24 windows in the new wing.

Hope this helped! :)

18 more than the product of k and 5 Evaluate the expression for the value of the variable, k : 7 Please type your answer in the box below. NUMBERS ONLY!

Answers

Answer:

The Answer Is 125.

Step-by-step explanation:

As, 18 More Than K Means

18 More Than 7

So, It's 25

Then Evaluate 25 With 5

It's 25(5)

Or 25 × 5

It's 125.

The price on the price sheet of a new car contains the bottom line what is another name for this cost?

Answers

Answer:

C. MSRP

Step-by-step explanation:

Commonly called the sticker price because it’s the bottom line figure in a cars window sticker, is the base price plus any options

There are different kinds of terms. Another name that can be used for the cost above is Sticker Price.

What is the sticker price?

The sticker price is also known or called the total MSRP. It is often said to be sticker price due to the fact that it is the conclusive ( bottom line ) figure found on a car's window sticker.

Tis also known as the base price with the addition of any other options, option-package discounts, etc. A person can purchase a vehicle for less than the amount of the sticker price.

Learn more about Sticker Price from

https://brainly.com/question/11947230

A school raised $18,000 at a charity event. A, B, and C, in ratio 1: 2: 3. How much money did each charity receive?​

Answers

Answer:

3000

6000

9000

Step-by-step explanation:

18000/6=3

A=1(3000)=3000

B=2(3000)=6000

C=3(3000)=9000

hurry please ... LOOOOOLLL

Answers

Answer:

12 pounds of grapes cost $18.00

Step-by-step explanation:

The point, (12, 18) as plotted on the graph indicates that 12 pounds of grapes costs $18.

From the graph, we see that when x (pounds) = 12, y (cost) = 18.00.

What is 7 1/5 written as a percent

Answers

Answer:

720%

Step-by-step explanation:

Answer:

720 %

Step-by-step explanation:

Method 1

If 1 is equal to 100 percent, then 7 would be 700 percent. 1/5 is equal to 20 percent. If you add 700 % and 20 % you will get 720 %

Method 2

7 1/5 is equal to  

7/1 × 5/5 + 1/ 5 = 35/5 + 1/5 = 36/5

We know that 36/5 is the same as 36 ÷ 5

36 divided by 5 gives us 7.2

Convert the decimal to a percent:

7.2 × 100 = 720%

Hope this helps :)

PS. PLZZZZZZZ GIVE ME BRAINLIEST!!!!

I have a quick question please someone answer Is 5/8 irrational?

Answers

Answer:

no

Step-by-step explanation:

5/8=0.6250 so its rational

Answer: no

Step-by-step explanation: 5/8 is rational because it is another way of writing the ratio 5:8. So no, 5/8 is not an irrational number.

Evaluate the logarithm log 0.001​

Answers

Answer:

Make sure to click on the png file the steps and answer are there!

Please help me
What type of association does the graph show between x and y?

Answers

Answer:

Linear positive association

Help please with this
Look at picture
Complementary angles

Answers

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

The original price, p, of a single scoop of ice cream has increased by 7%. The new price can be represented as 1.07p. Which expression is also equivalent to the new price? *

Answers

Answer:

107%p

not much explanation needed here, just conversion of units.

1. You want to put new carpet in your bedroom and the dimensions of your room
are 8.74 ft and 10.3 ft. If you want to find the area of your room to put new carpet
in, which of these problems would help you estimate how much carpet will you
need to buy?

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that a new carpet is to be put in the bedroom and that the dimensions of the room are 8.74 ft and 10.3 ft.

The area of the room will be the multiplication of the dimensions given. This will be:

= 8.74 × 10.3

= 90.022

= 90ft²

The function d =
45t gives the distance d Juan traveled in miles after t hours.

is this discrete or continuous data?

Answers

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

3. FIELD TRIP There is space for 120
students to go on a field trip. Currently
,
74 students have signed up. Write and
solve an inequality to find how many
more students can sign up for the
field trip.
i need help plz

Answers

well if

120-74=46

then 46 is the correct answer.

74+46=                    120

46 more students can sign up for the field trip.

Answer:

74 + (x) = 120

Step-by-step explanation:

subtract 74 from 120

120 - 74 = 46

A person who is standing on a ledge throws a rock into the air. The rock reaches a maximum height of 676 feet

above the ground after 1.5 seconds.

If the rock hits the ground below the ledge 8 seconds after it is thrown, which quadratic function can be used to find

the height of the rock above the ground t seconds after it is thrown?

Answers

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Suppose you have a tablet with a capacity of gigabytes. For a plain text​ book, one byte typically corresponds to one character and an average page consists of 2000 characters. Assume all gigabytes are used for plain text books.
a. How many pages of text can the tablet​ hold?
b. How many 500 page books can the tablet hold?

Answers

Answer:

tablet can hold 500000 pages of text .

tablet can hold 1000 books of 500 pages

Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?

Answers

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

What is answer for (11x-32)=45

Answers

Answer: x=7

Step-by-step explanation:


(11x-32)=45

We move all terms to the left:

(11x-32)-(45)=0

We get rid of parentheses

11x-32-45=0

We add all the numbers together, and all the variables

11x-77=0

We move all terms containing x to the left, all other terms to the right

11x=77

x=77/11

x=7

The measure of angle A in ABC is twice the measure of angle B and the measure of angle C is 20° less than the measure
of angle B. What are the measures of the angles in ABC?

Answers

Answer:

m∡A = 100°

m∡B = 50°

m∡C = 30°

Step-by-step explanation:

let 'x' = m∡B;  50°

let '2x' = m∡A;   100°

let 'x-20' = m∡C;   30°

x + 2x + x - 20 = 180

4x - 20 = 180

4x = 200

x = 50

the coefficient of x in the expression of(x+3) (x-1) is​

Answers

Answer:

i think 4

Step-by-step explanation:

[tex]x^{2} +4x-3[/tex]

Factorise 9x^2y+12xy^2

Answers

Answer:

3x(3xy + 4y^²).

Step-by-step explanation:

Mskqkkqkaak

Write these decimals in order from least to greatest.
0.6 0.8 0.55 0.125 0.875
Then explain how you know.

Answers

Answer:

0.125, 0.55, 0.6, 0.8, 0.875

Write the equations of each line in slope-intercept form.

Answers

For the top one, the answer is y=3x+2.
And for the one on the bottom is, y=-x+4

Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces. The weights of the shipping boxes are normally distributed with mean of 12 ounces and standard deviation of 1 ounce. Suppose that centerpieces are chosen at random and packed into randomly chosen shipping boxes.If a package exceeds 45 ounces, an additional charge is incurred. What is the proportion of packages will incur such a charge

Answers

Answer:

0.0901 = 9.01% of packages will incur such a charge

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances.

Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces.

This means that [tex]\mu_C = 30, \sigma_C = 2[/tex]

The weights of the shipping boxes are normally distributed with mean of 12 ounces and standard deviation of 1 ounce.

This means that [tex]\mu_S = 12, \sigma_S = 1[/tex]

Suppose that centerpieces are chosen at random and packed into randomly chosen shipping boxes.

The shipment is given by the centerpice plus the shipping box. So the mean and the standard deviation of the weight are given by:

[tex]\mu = \mu_C + \mu_S = 30 + 12 = 42[/tex]

[tex]\sigma = \sqrt{\sigma_C^2 + \sigma_S^2} = \sqrt{2^2 + 1^2} = \sqrt{5} = 2.236[/tex]

If a package exceeds 45 ounces, an additional charge is incurred. What is the proportion of packages will incur such a charge

This proportion is 1 subtracted by the pvalue of Z when X = 45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 42}{2.236}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% of packages will incur such a charge

tres carpinteros juan alberto y luis se encargaron de hacer 6 mesas iguales por lo que recibieron $600 pesos juan hizo una mesa alberro hizo 2 mesas y luis 3 mesas cuanto dinero corresponde a cada uno​

Answers

Answer:

primero divides 600 entre 6 te da 100

entonces cada mesa vale 100 pesos así que

100x1:100 así que a juan le tocan 100 pesos

100x2:200 así que Alberto le tocan 200 pesos

100x3:300 así que a Luis le tocan 300 pesos

Me das coronita plis

(4 1/4x + 8) + (-1 1/2x - 12)

Answers

Answer:

(19x-290)/(4(x+2)(x-6)

Step-by-step explanation:

Apply Fraction Rule:

(41)/(4x+8)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/2(x-6)

LCM:

(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)

Expand:

= (19x-200)/4(x+2)(x-6)

Please help ASAP if you know how. Thanks so much

Answers

i’m not so sure i’m sorry

Answer:

B) -6.61, 0.61

Step-by-step explanation:

Answer obtained by graphing the formula.

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