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3 years ago

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

3 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

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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?

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3 years ago

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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:

$a(b + c) = ab + ac$