All categories

2 years ago

A right square pyramid has a height of 36 m and a volume 1728 m². What is its base length of the pyramid?

1 answer:

6 0

The answer is 144m.

Volume of square pyramid formula:
V = 1/3 * b * h

1728 = 1/3 * b * 36
1728 = 12b
1728/12 = b
b = 144

You might be interested in

Eric Drew an obtuse triangle. Which of the following could be true for Eric's triangle.

Vika [28.1K]

Answer:

<u>Option:B</u> is the correct answer.

B: possible angle measures of the triangle are 92, 48, and 40 .

Step-by-step explanation:

We know that an obtuse triangle is a triangle whose one angle is a obtuse angle ( i.e. the measure of the angle is greater than 90 degree and less than 180 degrees).

A: all three angles have equal measures

Let the angle of a triangle be 'x'.

As we know that the sum of all the angles of a triangle is 180°.

This implies that:

x+x+x=180°

3x=180°

⇒ x=60°

Hence, the triangle will not be obtuse as none of the angle is obtuse.

Hence, option: A is incorrect.

possible angle measures of the triangle are 92, 48, and 40.

This option is correct.

Since there is one angle which is obtuse ( measure 92 degree)

and also such a angle measure is possible in a triangle as sum of all the angles is 180°.

( since 92+48+40=180°)

two of the angles are equal, and the third angle has a measure of 70.

Let the equal angles be represented by 'x'.

As the sum of all the angles is 180°.

⇒ x+x+70=180°

⇒ 2x=110°

⇒ x=55°

Hence, here also none of the angle is obtuse.

hence, option: C is incorrect.

One angle has a measure of 90, while, the other two angles measure less than 90°.

Such a triangle will not be a obtuse triangle as none of the angle measure is greater than 90°.

Hence, option: D is incorrect.

4 0

3 years ago

The mean and median sales prices of new homes sold in the United States in February 2016 were $ 217822 and $ 244614 , respective

anastassius [24]

Answer:

Mean: $217,822

Median: $244,614

Step-by-step explanation:

The mean and median sales prices of new homes sold in the United States in February 2016 were $ 217822 and $ 244614 , respectively.

Mean and median, then the term respectively.

This means that first comes the mean, and then the median.

Mean: $217,822

Median: $244,614

6 0

3 years ago

Read 2 more answers

Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his

Alborosie

Answer: $8t+581$

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

$w=83-t$

Since he earns $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

$15t+7w$

Since $w=83-t$ , you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

$15t+7(83-t)=15t+581-7t=8t+581$

4 0

3 years ago

(x2 + 17x + 63) ÷ (x + 8) = A. x + 10 remainder –9 B. x + 9 remainder – 5 C. x + 9 remainder –9 D. x + 7 remainder –10

Lady_Fox [76]

Thank you for posting your question here in brainly. The answer to the above equation is letter C which is <span> x + 9 remainder –9. Please see below solution:

x2 + 17x + 63 / x + 8 = x + 9 r-9
x2 + 8x
9x + 63
9x + 72
-9</span>

5 0

3 years ago

Read 2 more answers

Nud,es for yall some yall desperate so here

Yuri [45]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers