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3 years ago

3.

Mathematics

1 answer:

arsen [322]3 years ago

8 0

Answer:The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

=784 square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is =

square feet.

According to the problem,

ft.

The height of the roof in his roof is 72.43 ft.

Step-by-step explanation:

You might be interested in

S is inversely proportional to t When s = 0.5, t = 7 Work out s when t = 0.8

defon

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

$s\propto \dfrac{1}{t}$

$s=\dfrac{k}{t}$ ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

$0.5=\dfrac{k}{7}$

$0.5\times 7=k$

$3.5=k$

Putting k=3.5 in (i), we get

$s=\dfrac{3.5}{t}$

This is the equation of proportionality.

Putting t=0.8, we get

$s=\dfrac{3.5}{0.8}$

$s=4.375
$

Therefore, the value of s is 4.375 when t=0.8.

5 0

2 years ago

The length of a side of an equilateral triangle is 40cm. what is the length of the altitude of the triangle?

podryga [215]

Answer:

20√3 cm

Step-by-step explanation:

Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.

Let the altitude be x. Then as per Pythagorean theorem:

x² = 40² - (40/2)²
x²= 1600 -400
x²= 1200
x= √1200
x= 20√3 cm

Correct choice is the second one

4 0

3 years ago

My REAL FINAL LAST 100 points, pls do me well this time... show work pls :(

lutik1710 [3]

Im not sure how to explain how to do a graph, but I hope this helps at least a bit!

~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~

7 0

2 years ago

I can’t find the area

evablogger [386]

Divide it into chunks of area you can find. One way to divide it is
.. a rectangle 2 mi x 5 mi at upper left.
.. a rectangle 8 mi x 6 mi down the middle
.. a rectangle 3 mi x 4 mi at lower right
.. a triangle 5 mi x 6 mi at lower left

Then the sum of areas is
.. (2 mi)*(5 mi) +(8 mi)*(6 mi) +(3 mi)*(4 mi) + (1/2)*(5 mi)*(6 mi)
.. = 10 mi^2 +48 mi^2 +12 mi^2 +15 mi^2
.. = 85 mi^2

4 0

2 years ago

Expand and simplify: a(a + 5)

RoseWind [281]

Answer:

a squared+ 5a

Step-by-step explanation:

a(a+5)

multiply everything inside the bracket

a times a is a squared

a times 5 is 5a

i hope i helped

please give me a brainliest!!<3

6 0

2 years ago