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expeople1 [14]
3 years ago
6

What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tent

h.
Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

766.3 square inches

Step-by-step explanation:

The volume of pyramid is given by  

volume = 1/3(area of base) * height of pyramid

Given shape of base is square and

Perimeter of that square is 44inches

We know that perimeter for square is given by 4* length of side

Thus,

44 inches = 4* length of side

 Length of side = 44/4 = 11 inches  

_____________________________________________

Area of square is given by side*side.

Thus, area of square base of pyramid is = 11*11 inches square = 121 inches square

Now that we have area of base and height of pyramid .

Substituting these value in formula for volume of pyramid we have

volume = 1/3(area of base) * height of pyramid

 volume = 1/3*(121) * 19 = 2,299

 volume = 766.33

Volume of square pyramid rounded to nearest tenth is 766.3 square inches

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Gennadij [26K]

Answer:

Step-by-step explanation:

So lets look at the first point, (3,2)

Remember that x is the first number, and y is the second number (x, y).

So our fist point will be 3 x to the right, and 2 y up.

This immediatly gets rid of C and D, since they're first point is at (2,2)

Now we have to figure out of its A or B.

The next point is at (4,7).

So x goes to the right by 4, and 7 up.

This rules out trianlge B, making it traingle A.

You might think it could be B, since B is at 7 x and 4 y. But its remember its the opposite, being 4 x and 7 y.

So it must be A, since its the only traingle between A and B that actually has a point at (4, 7), 4 x and 7 y.

Hope this helps!

Now you can go massivly deficate in the toilet, turn the fan on ;)

8 0
3 years ago
The length of a rectangle is 4 centimeters less than twice its width. The perimeter of the rectangle is 34 cm. What are the dime
yarga [219]

Let l and w be the length and width of the rectangle. We know that l=2w-4

The formula for the perimeter is P=2(w+l)

Using our substitution, it becomes

P=2(w+2w-4)=2(3w-4)=6w-8

We know that the perimeter is 34, so we have

6w-8=34 \iff 6w=42 \iff w=7

The length is 4 less than twice the width, so we have

l=2\cdot 7 - 4 = 10

3 0
4 years ago
Which of the following angles is not coterminal with the other three? Question 15 options: 231° 51° –129° 591°
mart [117]

Answer:

51

Step-by-step explanation

Given angles can break like this :

231 = 180 +51

51= 0+51

-129= -180+51

591= 360+180+51


so angles 231, -129 and 591 corresponds to the same terminal while 51 is not related to the particular quadrant . so 51 is not co-terminal with the other three angles .


4 0
4 years ago
Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, tr
romanna [79]

Answer:

13 miles

Step-by-step explanation:

Given that he traveled in a straight line to each destination. Then,

i. distance from his home to soccer field = \sqrt{x^{2} + y^{2} }

                                      = \sqrt{4^{2} + 3^{2}}

                                      = \sqrt{16 + 9}

                                      = \sqrt{25}    = 5 miles

ii. The distance from soccer field to the library = 8 miles.

So that we can say that;

Ryan's total distance from home to the library = 5 + 8

                                                      = 13 miles

Thus, Ryan would have traveled 13 miles by the time he reached the library.

3 0
3 years ago
Solve: −3(5+8x)−20≤−11
Tatiana [17]
-3(5 + 8x) - 20 ≤ -11  |use distributive property: a(b + c) = ab + ac

-15 - 24x - 20 ≤ -11

-35 - 24x ≤ -11    |add 35 to both sides

-24x ≤ 24      |change signs

24x ≥ -24    |divide both sides by 24

x ≥ -1
3 0
3 years ago
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