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3 years ago

Find the unknown side length show all work

Mathematics

1 answer:

Bad White [126]3 years ago

7 0

Use the pythagorean theorem (a squared plus b squared equals c squared). 10 squared is 100 and 4 squared is 16. x squared must equal 116. x must therefore equal around 10.7703296143

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Help with the following problem please

Effectus [21]

Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5

By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1

Area of outer circle = $\pi R^2=\pi7^2=49\pi$
Area of large shaded circle = $\pi x^2=\pi5^2=25\pi$
Area of 4 small shaded circles = $4\pi r^2=4\pi1^2=4\pi$
Total area of shaded circles = $25\pi+4\pi=29\pi$

Shaded area as a fraction of that of the outer circle
$=\frac{29\pi}{49\pi}=29/49$

3 0

3 years ago

I’m not sure how to do this problem

strojnjashka [21]

The first one would be x^12

6 0

3 years ago

20 POINTS WILL GIVE BRAINLIEST HELP QUICKLY!!

SVETLANKA909090 [29]

Answer:

1.function 1 has a greater rate of change than function 2

3. Function 1 has a greater y-intercept than function 2

Step-by-step explanation:

Using the table we can find the slope using

m = (y2-y1)/ (x2-x1)

m = (29-5)/ (8-0)

= 24/8

= 3

The rate of change for the table is 3

The y intercept is (0,5)

Using the graph (0,-1) and (2,0)

m = (y2-y1)/ (x2-x1)

m = (0--1)/ (2-0)

= (0+1)/2

= 1/2

The y intercept is (0,-1)

Since 3>1/2 , function 1 has a greater rate of change than function 2

Since 5>-1, function 1 has a greater y-intercept than function 2

8 0

3 years ago

Read 2 more answers

The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse

Lapatulllka [165]

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: Number of children in the park.

Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

10c + 20a = 500,000, which is the second equation in matrix form.

Since a = 30,000 - c, we replace:

10c + 20a = 500,000

10c + 20(30000 - c) = 500,000

10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

8 0

2 years ago

1.What is the cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron?

stiks02 [169]

1. Answer;

- Triangle

Explanation;

The cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron is a Triangle.

A tetrahedron also a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

2. Answers

- Triangle

Explanation;

The cross section formed by a plane that intersects three faces of a cube is a Triangle. A cross section is the shape we get when cutting straight through an object. The shape of the cross-section of a solid depends upon the orientation of the cutting plane to the solid.

7 0

4 years ago

Read 2 more answers