Which is the slant height of the pyramid if Helen uses all the clay

Mathematics

1 answer:

Digiron [165]4 years ago

8 0

First, find the height of the pyramid using the volume formula.
Then use the Pythagorean theorem to find the slant height.

V = (1/3)Ah

48 = (1/3)(6^2)h

144 = 36h

h = 4

Since the side of the base is 6 in., half the side is 3 in.
The height of the pyramid is 4 in.
Call the slant height S.

3^2 + 4^2 = S^2

9 + 16 = S^2

25 = S^2

S = 5

Answer: The slant height is 5 in.

You might be interested in

What is 24/4 as a whole number

stiks02 [169]

4 fits into 24 6 times so 24/4 written as a whole number is 6! I hope this helped :D

7 0

3 years ago

Anna saved $20 in a jar each month for 2/1/2 years. She spent 75% of her savings on a computer. How much money did Anna have lef

strojnjashka [21]

2 and 1/2 years = 30 months

$20 \times 30 = 600$
$100\% - 75\% = 25\%$
$600 \times 25\% = 150$
The answer is A. $150

Hope this helps.

6 0

3 years ago

Nate borrowed $62,000 at 9.4% interest per year if he owed a total of $910.90 in when he repaid the loan how many days do they k

OverLord2011 [107]

The formula for simple annual interest is:

I = Prt

where,

I = Interest accumulated = $910.90
P = Principal Amount = $62000
r = Interest rate = 9.4% = 0.094
t = time in years

Using the values in above equation, we get:

910.90 = 62000 x 0.094 x t

⇒ t = 910.90/(62000 x 0.094) = 0.156

This is the time in years. Since there are 365 days in a year, the time in days will be:

t = 0.156 x 365 = 57 (rounded to nearest day)

This means, Nate kept the borrowed money for 57 days

6 0

4 years ago

The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f

aksik [14]

Answer:

$\frac{x^2}{36} + \frac{y^2}{100} = 1$