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3 years ago

An ice cream cone has a radius of 1.5 inches and a height of 5 inches.

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

Answer:Option D: 11.8 cubic inches

Step-by-step explanation:

The volume of a cone is 1/3 ×22/7 ×r×r×h.Here we have radius which is 1.5 and height which is 5 and both this values are substituted into the above formula and we have something like this: 22/7*1.5*1.5*5÷3.

Input that into your calculator and our final answer will be 11.8 cubic inches.

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At the start of 2015, Barry's house was worth £270000.

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Step-by-step explanation:

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3 years ago

If h (r)= 2/3 r - 6, what is the value of h(-9)?

Bad White [126]

Answer:

$h(-9)=-\frac{2}{33}$

Step-by-step explanation:

The given expression is $h(r)=\frac{2}{3r-6}$

We want to find the value of h(-9).

We substitute r=-9 to obtain:

$h(-9)=\frac{2}{3(-9)-6}$

We multiply out to obtain:

$h(-9)=\frac{2}{-27-6}$

We simplify the denominator to obtain:

$h(-9)=\frac{2}{-33}$

This is the same as:

$h(-9)=-\frac{2}{33}$

3 0

3 years ago

Solve the right triangle given that mZA= 30°, mZC = 90°, anda = 15. Round your result to one decimal place.

Genrish500 [490]

Answer:

$\angle B = 60^o$

$b =17.3$

$c = 20$

Step-by-step explanation:

Given

$a= 15$

$\angle A = 30^o$

$\angle C = 90^o$

<em>See attachment for illustration</em>

Required

Solve the triangle

First, we calculate the measure of B

$\angle A + \angle B + \angle C = 180^o$ --- angles in a triangle

$30^o + \angle B + 90^o = 180^o$

Collect like terms

$\angle B = 180^o-90^o-30^o$

$\angle B = 60^o$

Solve for (c) using sine function

$\sin(30) = \frac{a}{c}$

Make c the subject

$c = \frac{a}{\sin(30)}$

Substitute known values

$c = \frac{10}{0.5}$

$c = 20$

Solve for (b) using Pythagoras

$c^2 = a^2 + b^2$

This gives:

$20^2 = 10^2 + b^2$

$400 = 100 + b^2$

Collect like terms

$b^2 =400 - 100$

$b^2 =300$

Take square roots

$b =17.3$

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3 years ago