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MAXImum [283]
3 years ago
7

Solve for p.

Mathematics
2 answers:
FromTheMoon [43]3 years ago
6 0

Answer:

Option C.

Step-by-step explanation:

The given inequality is

2p+3>2(p-3)

We need to find the solutions of this inequality.

Using distributive property we get

2p+3>2(p)+2(-3)

2p+3>2p-6

Subtract 2p from both sides.

2p+3-2p>2p-6-2p

3>-6

This inequality is free from variable p and it is true for any value of p.

The solution set of given inequality is the set of all real numbers. Therefore the correct option is C.

Nina [5.8K]3 years ago
5 0
All real numbers............
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7nadin3 [17]

Answer:

V=18.2cm^3

Step-by-step explanation:

The volume of the pyramid is given by:

V=\frac{A_{b}h}{3}

where A_{b} is the area of the base and h is the height.

We know that the height is:

h=13cm

Thus we need to find the area of the square at the base.

The perimeter of the square is:

p=8.2cm

this means that the length of the sides of the square is :

l=\frac{p}{4}\\ \\l=\frac{8.2cm}{4}\\ \\l=2.05cm

Now we can find the area of the base which the area of the square:

A_{b}=l^2\\A_b=(2.05cm)^2\\A_b=4.2025cm^2

and finally we find the volume:

V=\frac{A_{b}h}{3}

V=\frac{(4.2025cm^2)(13cm)}{3}\\ \\V=\frac{54.6325cm^3}{3}\\ \\V=18.2108cm^3

Which rounded to the nearest tenth of a cubic centimeter is: V=18.2cm^3

3 0
2 years ago
What is the ratio for the volumes of two similar spheres, given that the ratio of
barxatty [35]

Answer:

Option A

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so 5^3 : 9^3 would be the ratio for volumes

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3 because 4×3=12 and if you divide12÷3/4 it helps you check
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3 years ago
Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?
fenix001 [56]

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

<h3>What is trigonometry?</h3>

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

More about the trigonometry link is given below.

brainly.com/question/22698523

#SPJ1

7 0
2 years ago
Find the equation of this line (-3,0) (0 1)
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2 years ago
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