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2 years ago

What is the volume of the pyramid?

Mathematics

2 answers:

s2008m [1.1K]2 years ago

5 0

Answer:

$16\sqrt{3}$ $cm^{3}$

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.

What is the volume of the pyramid?

My answer:

As we know, The volume of a pyramid = $\frac{1}{3}$ base area × its height

Given:

Side lenght of the base is; $4\sqrt{3} cm$

=> The area of the base is $12\sqrt{3}$ $cm^{2}$

In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°

We use: $tan(30) = \frac{BC}{AC}$

<=> BC = $4\sqrt{3}*tan(30)$

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = $\frac{1}{3}$ $12\sqrt{3}$ $cm^{2}$ * 4 cm

= $16\sqrt{3}$ $cm^{3}$

SOVA2 [1]2 years ago

5 0

Answer:

Step-by-step explanation:

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What is 528−−√+63−−√528+63 in simplest radical form?

Montano1993 [528]

Answer: $13\sqrt{7}$

Step-by-step explanation:

In the simple radical form there are no square root is remain to find.

Since, the given expression,

$5\sqrt{28} + \sqrt{63}$

$5\sqrt{4\times 7} + \sqrt{9\times 7}$

$5\sqrt{4} \times \sqrt{7} + \sqrt{9}\times \sqrt{7}$

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$(10 + 3)\sqrt{7}$

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Since, we do not need to find further square root of 7.

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2 years ago

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a car rental service rently purchased all new vehicles .to help cover the cost ,rental rates have to increase 26% from the norma

ruslelena [56]

Answer:

The new rate should be $56.67 per day

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the statement:

Normal rate per day = $45

To find the new rate:

Let new rate be x per day

By definition of proportion:

$\frac{126}{100} = \frac{x}{45}$

By cross multiply we have;

$100x = 126 \times 45$

Divide both sides by 100 we get;

$x = \frac{126 \times 45}{100}$

Simplify:

x = $56.7

Therefore, the new rate should be $56.7 per day

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2 years ago

The ratio of the number of miles Kyle drives to the number of hours he is driving is 468 to 9. What is Kyle's rate of speed? A)

mr_godi [17]

Answer:

the answer is 52

Step-by-step explanation:

you have to divide 468 by 9 and should get you too 52

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2 years ago

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Which regression equation best fits these data?

julsineya [31]

Answer:

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Step-by-step explanation:

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2 years ago

Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $

nlexa [21]

Answer:

$4.84

Step-by-step explanation:

Given that

For delivery within $1\frac{1}2$ mi, charges = $1.25

For delivery within $1\frac{1}2$ mi - $1\frac{3}4$ mi, charges = $1.70

For delivery within $1\frac{3}4$ mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2 $\frac{1}4$ mi, charges = $2.60

For delivery within 2 $\frac{1}4$ mi - 2 $\frac{1}2$ mi, charges = $3.05

For delivery within 2 $\frac{1}2$ mi - 2 $\frac{3}4$ mi, charges = $3.50

For delivery within 2 $\frac{3}4$ mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3 $\frac{1}4$ mi, charges = $4.40

So, every 0.25 mi or $\frac{1}4$ mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of $3\frac{1}8$ miles lies within the range 3 mi - 3 $\frac{1}4$ mi.

So actual charges after increase of 10%

$\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}$

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2 years ago