Mila cuts a sphere with a 13-inch radius in half. Whats the area of the cross section of the sphere in square inches in terms of pi

Answers

Answer 1

The area of the cross-section of the sphere in square inches in terms of pi will be 169π inch^2.

The area of a two-dimensional shape created when a three-dimensional object, like a cylinder, is cut perpendicular to a predetermined axis at a point is known as the cross-sectional area.

An area is projected onto the plane when a plane slices through a solid object. The axis of symmetry is then perpendicular to that plane. The cross-sectional area refers to its projection.

The cross-section of a sphere is a circle. Hence the area of the cross-section is the area of a circle with a radius of 13, which is given by π*r^2

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Related Questions

Steve ran a 26-mile race at an average speed of 4 miles per hour. If Adam ran the same race at an average speed of 3 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?

Answers

Answer:

Adam took 132 minutes longer than Steve.

Step-by-step explanation:

Let's find the time that takes Steve and Adam to complete the race. We will use the equation:

[tex] V = \frac{d}{t} [/tex]              

Where:

d: is the distance = 26 miles

t: is the time =?

V: is the speed

For Steve we have the following time:

[tex] t_{s} = \frac{d}{V_{s}} = \frac{26 mi}{4 mi/h} = 6.5 h*\frac{60 min}{1 h} = 390 min [/tex]

And the time of Adam is:

[tex] t_{a} = \frac{d}{V_{a}} = \frac{26 mi}{3 mi/h} = 8.7 h*\frac{60 min}{1 h} = 522 min [/tex]

So, the difference between the time of Adam and Steve is:

[tex] \Delta t = t_{a} - t_{s} = 522 min - 390 min = 132 min [/tex]

Hence, Adam took 132 minutes longer than Steve.

I hope it helps you!

What is a statistical question Musa can ask about the club?
How many hours does a member usually spend gardening each month?
How many members were at yesterday's club meeting?
How many gardens are on the school's property?
How much money did the club raise at last week's fundraiser?

Answers

Answer:

Step-by-step explanation:

What is the area of the figure below

Answers

Answer:

35[tex]yd^{2}[/tex]

Step-by-step explanation:

6x5=30

2x5(1/2)=5

30+5=35

what is the area of this figure?

Answers

answer:
252 square m

step-by-step explanation:
break the figure into two shapes
area = length • width
first is 14 • 13 = 182
to find the length of the second it would be 21 - 14 = 7
so 7 • 10 = 70
70 + 182 = 252

Answer:

392 m^2

Step-by-step explanation:

I made a video explaining it for you! I promise it’s not unrelated to the question. Here it is:

https://youtu.be/AcVNod4o-_w

Find the approximate area of the circle in the image. Use 3.14 for at
diameter = 9 in
O 20.25 square inches
O 63.585 square inches
O 254.34 square inches
O 81 square inches

Answers

B. 63.585
3.14(4.5) squared
3.14(20.25)
63.585

1) Find the value of the expression.
6- y
for y = 2.6
Answer:

Answers

Answer:

1.3

Step-by-step explanation:

3.5 - y

y= 2.2

So substitute the Values and do 3.5 - 2.2 and you get 1.3 as answer

I hope This helped!

Answer:

1.3

Step-by-step explanation:

mrk me brainliest plzzzzzzzzz

7(2x - 8) = -2x + 8

Answers

14x-56=-2x+8
14x-56+56=-2x+8+56
14x=-2x+64
14x+2x=-2x+2x+64
16x=64
16x/16=64/16
x=4
The answer is x=4 as you can see in the picture

HOW TO DO THIS QUESTION PLEASE ​

Answers

9514 1404 393

Answer:

  3x +2y = 6

Step-by-step explanation:

The scale of the axes of the supplied graph are not shown. We must infer what they are from the equation of the given line.

The given equation is in slope-intercept form, so we can read the y-intercept from the equation as being -1. This is 1 major grid square below the x-axis.

  y = mx + b . . . . . . . line with slope m and y-intercept b

The x-intercept is found by setting y=0 and solving for x.

  y = x -1

  0 = x -1

  1 = x . . . . . . add 1 to both sides

The x-intercept of 1 is shown on the graph as 2 major grid squares from the y-axis. This tells us each major grid square is 1/2 unit in the x-direction and 1 unit in the y-direction.

__

Knowing the scaling of the axes, we can determine that the x-intercept of line L is 2, and the y-intercept is 3.

There are several different useful forms of the equation for a line. One of them is "intercept form":

  x/(x-intercept) + y/(y-intercept) = 1

Using the above intercept values, this is ...

  x/2 + y/3 = 1

Multiplying by 6 puts this in standard form:

  3x +2y = 6 . . . . . . . standard form equation for line L

__

If we solve for y, we can find the slope-intercept form.

  2y = -3x +6

  y = -3/2x +3

The the mesure of……..

Answers

The measure of angle B is 82°

What is angle ?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

∠A = 180° - 143°

     = 37°

∠A + ∠B + ∠C = 180°

37° + ∠B + 61° = 180

∠B = 180 - 61 - 37

     = 82°

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A farmer sells 8. 5 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market? Express your answer in fraction and decimal form. Solve on paper. Then check your work on Zearn. The farmer sold kg or kg of pears

Answers

In fraction form, this is 6.375/8.5, or 3/4.In decimal form, this is 0.75.

What is fraction?

Fraction is a mathematical expression which represents a part of a whole. It consists of a numerator and a denominator which are separated by a fraction bar. The numerator is the number of parts and the denominator is the total number of parts in the whole. Fractions can be used to represent parts of a whole number or parts of a physical object. Fractions can also be used to express ratios or rates.

To solve on paper, we can use the following equation:

Pears = 8.5 kg - (3/4 x 8.5 kg)

Pears = 8.5 kg - (6.375 kg)

Pears = 2.125 kg

Therefore, the farmer sold 2.125 kg of pears at the farmer's market in fraction form, and 0.75 in decimal form.

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SOMEBODY PLEASE HELP ME AND GIVE THE ANSWERS TO THIS!

Answers

Answer:

1.v divided by n 2. im not sure how much money you have 3.true

Step-by-step explanation:

The point P(2k, k) is equidistant from A(-2, 4) and B (7,-5). Find the value of k. ​

Answers

If point P(2k, k) is equidistant from A(-2, 4) and B (7,-5), the numerical value of k is 3.

What is the numerical value of k?

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

The distance between P(2k, k) and A(-2, 4) is:

d = √((2k - (-2))² + (k - 4)²)

d = √((2k +2)² + (k - 4)²)

The distance between P(2k, k) and B(7, -5) is:

d = √((2k - 7)² + (k - (-5))²)

d = √((2k - 7)² + (k + 5)² )

Since the distances are equal, we can set the two equations for d equal to each other and solve for k.

√((2k +2)² + (k - 4)²) = √((2k - 7)² + (k + 5)² )

Square both sides

(2k +2)² + (k - 4)² = (2k - 7)² + (k + 5)²

(2k +2)² + (k - 4)² = 5k² - 18k + 74

5k² + 20 = 5k² - 18k + 74

Collect like terms

5k² - 5k² + 18k = 74 - 20

18k = 74 - 20

18k = 54

k = 54/18

k = 3

Therefore, the value of k is 3.

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Help please I need answer ASAP

Answers

Answer:

its B

Step-by-step explanation:

Its seven since your minimum is 1 and your maximum is 8, to find the range you have to subtract the minimum and maximum which would get 7.

PLEASE HELP (sorry for uploading alot I just want to good grade on this) NO LINKS PLEASE. RIGHT ANSWER GETS BRAINLIST

Answers

Answer:

C.   Function 1:  Difference of 1

Step-by-step explanation:

Function 1

m = ∆y / ∆x = 6/2 = 3

Function 2

Slope intercept form

m = 2

-------------------------

Function 1 is greater

Difference

3 - 2 = 1

the perimeter of a rectangle is 48 yards. The length is 14 yards.

Answers

Answer:

10 yards

Step-by-step explanation:

We know that to find the perimeter you have to multiply the length and width by 2 and add

We already know that the length is 14 yards

Multiply 14 by 2

    14*2=28

Subtract 48 by 28 (the total of both the length and width multiplied by 2)

    48-28=20

Divide 20 by 2

   20/2=10

And your answer is 10 yards as the width

10+10+14+14=48 yards

3/5+3 3/4=. They are all fractions btw also if you can please show work I need help ‍♀️

Answers

Answer:

[tex]4\frac{7}{20}[/tex]

Step-by-step explanation:

Daredevil Danny determine the values of a,b, and c show your work

Answers

Answer:

y = ax^2 + bx + ct

Step-by-step explanation:

How do you tell if something is a difference of squares?

Answers

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

what is perfect square ?

Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

If a binomial is found to be a difference of squares, it is factored into two binomials. the first being the first term's square root less the second term's square root.

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Does anyone know how to solve this?

Answers

Answer:

domain[-5,-3)U(4,3)

range-(4,-4)

Step-by-step explanation

parentheses are used when the circle is open and brackets are used when the circle is filled in, domain is the x axis and range is the y axis

Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 4

Answers

6th terms of given geometric progression whose common ratio is 3/2 and first term is 4  is 243/8 using the farmula ar^(n-1).

What is a geometric sequence?

A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers. Learn development in mathematics here as well. Here, each phrase is multiplied by the common ratio to generate the subsequent term, which is a non-zero value. A geometric series with a common ratio of 2 is 2, 4, 8, 16, 32, 64, etc.

Geometric Progression takes the following general form: a, ar, ar^2, ar^3, ar^4,..., ar^(n-1).

a = First term where

The common Ratio is r.

nth term = ar^(n-1)

6th terms ar^(6-1) = ar^5.

given is that r =3/2. a = 4.

6th term = 4 * (3/2)^5

= 4 * 3^5/2^5

=4*243/4*8

=243/8.

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Mr Black. 32 kg mg jars of peanut butter for school snacks. he spread the peanut butter on Bagels to feed 60 students. How many grams of peanut butter did he use for each bagel

Answers

Answer:

Amount of peanut butter each student get = 533.34 gram (Approx.)

Step-by-step explanation:

Given:

Amount of peanut butter Mr black has = 32 kg

Total number of students = 60 students

Find:

Amount of peanut butter each student get

Computation:

Amount of peanut butter Mr black has = 32 kg

Amount of peanut butter Mr black has = 32 x 1,000 gram

Amount of peanut butter Mr black has = 32,000 gram

Amount of peanut butter each student get = Amount of peanut butter Mr black has / Total number of students

Amount of peanut butter each student get = 32,000 / 60

Amount of peanut butter each student get = 533.33

Amount of peanut butter each student get = 533.34 gram (Approx.)

this is confusing for me please someone help T-T

Answers

Answer:

x = 39

y = 129

Step-by-step explanation:

to find x you do

x +51 = 90

subtract 51 from both sides

x = 39

to find y

we already know part of y is a right angle (90 degrees)

so we need to find the tiny other part

this tiny other part is equal to x

so

90 +39 = 129

A train travels 315 km in the same time that a car travels 265 km. If the train travels on average 20 km/h faster than the car, find the average speed of the car and the time taken to travel 265 km.

Answers

Answer: 106 km/h,2.5 hr

Step-by-step explanation:

Given

The train travels 315 km in the same time car travels 265 km

The average speed of the train is 20 kmph faster than car

Suppose, speed of the car is v and it travels 265 km in t hours

[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]

Time taken to travel is

[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]

Can someone help with this !!!!

Answers

Answer:

[tex]f(g(4)) = f(4^2-3) = f(13) = 13 + 7 = 20[/tex]

[tex]g(f(5)) = g(5 + 7) = g(12) = 12^2-3 = 141[/tex]

[tex]f(f(1)) = f(1 + 7) = f(8) = 8 + 7 = 15[/tex]

Mold has started to grow in
the bathroom. When I first
noticed it there was 3cm².
The next day there was 4.5
cm². I noticed each day it
grew by 50%.

Answers

The amount of mold after n days is 3 × (1.5)ⁿ⁻¹.

What is Geometric Progression?

Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.

This ratio is common ratio.

At first, mold was 3 cm², then 4.5 cm², and it was increasing each day by 50%.

a₁ = 3

a₂ = 4.5

a₃ = 4.5 + (4.5 × 50%) = 6.75

.............

Here the common ratio, r = a₂/a₁ = a₃/a₂ = ..... = 1.5

n th term of a GP = a rⁿ⁻¹, where a is the first term and r is the common ratio.

Area of mold after n days = 3 × (1.5)ⁿ⁻¹

Hence the mold at any time can be calculated by the formula 3 × (1.5)ⁿ⁻¹.

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DEF is a equilateral triangle solve for X

Answers

Answer:

x=12√3

Step-by-step explanation:

we can split the triangle into two right triangles

since we know that DEF is an equilateral triangle, that means that we will be dealing with a 30°-60°-90° special right triangle

since it is a 30°-60°-90° triangle,

x=12√3

If ∆ABC ~ ∆XYZ, then: ∠C ~ ???

Answers

Answer:

[tex]\huge\mathfrak\red{Answer...} \\ \\\huge\mathfrak\purple{angle \: z} \\ \\ \huge\mathfrak\pink{hope \: it \: helps..}[/tex]

the H hotel charges $150 per night for a family suite. They also charge 11% sales tax. How much would be paid in tax for one night in the family suite?

Answers

11% of $150 family suite per night
// bottom ** top
11//150 13.63 recurring
X 100

Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.

n/q=b/a

please help

Answers

Answer:

[tex]a = \frac{bq}{n}[/tex]

Step-by-step explanation:

If we are trying to solve for "a", then we need it to be alone on one side of the equation.

[tex]\frac{n}{q} = \frac{b}{a}[/tex]

[tex]\frac{an}{q} = b[/tex]

[tex]a = \frac{bq}{n}[/tex]

Range of 63, 42, 28, 45, 36, 48, 32, 40, 57, 49

Answers

35 is the range because you find the range of the set by searching it up
Answer and explanation: The range of these numbers can be found by taking the biggest number and subtracting the smallest number. In this case, the biggest number is 63 and the smallest number is 28.
63 - 28 = 35
The answer is 35
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