Ask question

Ask question

All categories

3 years ago

10

Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches.

2 answers:

Sladkaya [172]3 years ago

6 0

Answer: The base length of the pyramid is:

8 inches

Alex777 [14]3 years ago

5 0

$The\ value\ of\ the\ square\ pyramid:V=\dfrac{1}{3}BH\\\\B=128in^3;\ H=6in\\\\subtitute:\\\\\dfrac{1}{3}B\cdot6=128\\\\2B=128\ \ \ |divide\ both\ sides\ by\ 2\\\\B=64\ (in)\\\\a-the\ length\ of\ the\ base\\\\B=a^2\\\\a^2=64\to a=\sqrt{64}\to\boxed{a=8\ (in)}$

You might be interested in

Given right triangle MNL what is the value of Cos(M)

Sholpan [36]

Step $1$

<u>Find the value of MN</u>

In the right triangle MNL

Applying the Pythagorean Theorem

$ML^{2} =MN^{2} +NL^{2}$

Solve for MN

$MN^{2}=ML^{2}-NL^{2}$

in this problem we have

$ML=25\ units\\NL=15\ units$

Substitute in the formula above

$MN^{2}=25^{2}-15^{2}$

$MN^{2}=400$

$MN=20\ units$

Step $2$

<u>Find the value of cos (M)</u>

we know that

In the right triangle MNL

$cos(M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}=\frac{MN}{ML}=\frac{MN}{25}$

Substitute the value of MN

$cos (M)=\frac{20}{25}=\frac{4}{5}$

therefore

<u>the answer is</u>

The value of cos(M) is $\frac{4}{5}$

3 0

4 years ago

Read 2 more answers

Elizabeth is spinning a spinner with 5 equal sized sections. The sections are

julsineya [31]

I think the correct answer is J

7 0

3 years ago

Read 2 more answers

Given the parent function, y=2^x, write an equation for a function that has a vertical shift down 5 units.

Ulleksa [173]

Answer:

y=2^x - 5

Step-by-step explanation:

"- 5" demonstrates a verical shift 5 units down

5 0

3 years ago

Read 2 more answers

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation

Olenka [21]

Answer:

y = $\frac{49}{3}$

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 7 when x = 3

k = $\frac{y}{x}$ = $\frac{7}{3}$ , thus

y = $\frac{7}{3}$ x ← equation of variation

When x = 7, then

y = $\frac{7}{3}$ × 7 = $\frac{49}{3}$

8 0

3 years ago

The temperature outside dropped 13 F in in 7 hours. The final temperature was -2 F. What was the starting temperature?

butalik [34]

the final temperature was -2 F, and that reflects a drop of 13 units, so

-2------0------------------------------------------------------+11.

8 0

4 years ago