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3 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

Mathematics

2 answers:

Irina18 [472]3 years ago

8 0

Answer:

V = 16 89.3 ft^3

Step-by-step explanation:

The volume of a pyramid of base b and height h is

V = (1/3)(base)(height), which in this case is:

V = (1/3)(18.2 ft)^2*(15.3 ft)

Evaluating this with a calculator, we get V = 16 89.3 ft^3

nalin [4]3 years ago

6 0

1689.32 hope this helps

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frutty [35]

Answer:

(Answer in picture)

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2 years ago

If a person lnvests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years

Pie

Answer:

$176.3193692 or $176.32 (rounded to two decimal places)

Step-by-step explanation:

It is a compound interest, which means the interest accumulates on an initial amount each period.

The formula is A=P(1+R)^n

A= the total amount P=initial amount R=rate n=time (years)

P=$120 Rate= 8% or 0.08 (decimal) n=5 (years)

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2 years ago

Question in attachment

sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a_{1}(r^{n}-1) }{r-1}$

where a₁ is the first term and r the common ratio

Here $S_{8}$ = 1530 and r = 2, thus

$\frac{a_{1}(2^{8}-1) }{2-1}$ = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0

3 years ago

The area of the patio is 216 square feet. Write an equation that represents the area of the patio

Hoochie [10]

Answer:

$216=2w \times w$

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

$A= l\times w$

Where $l$ is the length and $w$ is the width.

Now let's assume that the length of the patio is double than the width.

$l=2w$

So, the equation that represents this problem is

$216=2w \times w$

6 0

3 years ago

Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle

mrs_skeptik [129]

Answer:

26.8°

Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.

B = cos-1 0.8926

= 26.8°

7 0

3 years ago