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Fudgin [204]
3 years ago
15

What is the volume of a sphere with a diameter of 15 cm? Round the answer to the nearest whole number.

Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

1767 cm³

Step-by-step explanation:

We can use volume V = 4/3 π r³

We have diameter of 15 cm. To get radius, we need to divide diameter by 2.

r = 7.5 cm

So now plug in r = 7.5 then calculate V:

V = 4/3 π ( 7.5 )³

V =  4/3 π * 421.875 ≈ 1767.145 ≈ 1767

Hope this helps.

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I need some help with this
masya89 [10]

Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

m\angle K=m\angle M=90^{\circ}

In these right triangles:

  • \overline{NL}\cong \overline {NL} - reflexive property;
  • \angle KLN\cong \angle MLN - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]

Since

\overline{KN}\cong \overline{NM},

then

7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

4 0
2 years ago
The graph shows the solution to a system of inequalities:
tangare [24]

Answer:

Option A. 4x+3y\leq 12 and x\geq 0

Step-by-step explanation:

we know that

The solution of the first inequality is the shaded area below the solid line 4x+3y=12

The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)

therefore

The first inequality is

4x+3y\leq 12

The solution of the second inequality is the shaded area to the right of the solid line x=0

therefore

The second inequality is

x\geq 0

7 0
3 years ago
Please help I’ll give brainalist + 10 points to whoever helps and get this 100% right
kaheart [24]

Answer:

its C

Step-by-step explanation:

because 180⁰-40⁰=140⁰

4 0
2 years ago
Read 2 more answers
HELP. How do i convert $1.34 into a percent %
Lelechka [254]
Ok. So, say you have 1 whole. If you take half of that it would be 50% or 0.50 of the whole. So with 1.34 you can turn it into 1 and 0.34. You have one whole, so that is 100 percent. You than add the 34 hundredths which is 34 percent. So you have 134%. Do you understand all that?
7 0
3 years ago
Read 2 more answers
Write an equivalent expression using distributive property and simplify for each question
Lana71 [14]

Answer:

Check explanations

Step-by-step explanation:

For all real numbers a,b, and c, the distributive property states that:

a(b + c) = ab + ac

For Part A, we have

2x + 10x = x(2 + 10) = x(12) = 12x

Or

2x + 10x = 2x(1 + 5) = 2x(6) = 12x

For Part B, we have

-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x

This simplifies to:

-4(3x-10)+5(2-6x)=-12x+40+10-30x

-4(3x-10)+5(2-6x)=-12x-30x+40+10

-4(3x-10)+5(2-6x)=-42x+50

For the C part, we have:

2(x - 4) + x = 2 \times x - 2 \times 4 + x

2(x - 4) + x = 2x - 8+ x

2(x - 4) + x = 3x - 8

For Part D, we have:

-3-7(3-4x)+8x =  - 3 - 7 \times 3  - 7 \times  - 4x + 8x

We simplify to get:

-3-7(3-4x)+8x =  - 24+28x + 8x

Simplify further to get:

-3-7(3-4x)+8x =-24+36x

4 0
3 years ago
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