3 years ago

Geometry, Chapter 9 test

Mathematics

1 answer:

atroni [7]3 years ago

6 0

We need a picture of the problem

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A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the ne

Yuliya22 [10]

Answer:

Step-by-step explanation:

Surface area of sphere = 125 sq.ft

4πr² = 125

4*3.14*r² = 125

$\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\$

r = 3.15 ft

8 0

3 years ago

Identify ALL the terms that are like terms with 3x^2.

shutvik [7]

I think it would be 4x^2 and 3x^3 because they both have the same "x". Because you can't add, for example, 5x + 7z, they aren't alike. That's why you have to choose like terms, for example, 5x+ 5x= 10x.

6 0

3 years ago

Solve the following problem. Round the one decimal place if necssary.

dmitriy555 [2]

Cosθ = adjacent / hypotenuse

$\cos(47) = \frac{28}{x} \\ 0.68 = \frac{28}{x} \\ x = \frac{28}{0.68} \\ x = 41.1 \\ x = 41$

I hope I helped you^_^

5 0

3 years ago

Quesheip Use the number line below, where RS = 6y +2, ST=5y + 9, and RT= 13y - 1 a What is the value of y? b Find RS, ST, and RT

Simora [160]

Answer:

$y = 6$

$RS = 38$

$ST = 39$

$RT = 77$

Step-by-step explanation:

Given:

$RS = 6y +2$

$ST=5y + 9$

$RT= 13y - 1$

Solving (a): The value of y

From the given parameters, we understand that

$RT = RS + ST$

Substitute values for RS, ST and RT

$13y - 1 = 6y + 2 + 5y + 9$

Collect Like Terms

$13y - 6y - 5y = 1 + 2 + 9$

$2y = 12$

Divide both sides by 2

$y = \frac{12}{2}$

$y = 6$

Solving (b):

The value of RS

Substitute 6 for y in $RS = 6y +2$

$RS = 6 * 6 + 2$

$RS = 36 + 2$

$RS = 38$

The value of ST

Substitute 6 for y in $ST=5y + 9$

$ST = 5 * 6 + 9$

$ST = 30 + 9$

$ST = 39$

The value of ST

Substitute 6 for y in $RT= 13y - 1$

$RT = 13 * 6 - 1$

$RT = 78 - 1$

$RT = 77$

8 0

3 years ago

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

kherson [118]

Answer:

x=88

Explanation:

x+6+x-2=180

2x+4=180

2x=180-4

2x=176

*divivd both sides*

x=88

4 0

3 years ago

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