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3 years ago

WILL MARK BRAINLIEST

1 answer:

7 0

To make this new triangle I am going to pretend that the original triangle was at the points (4,4) (-4,4) and (0,8). So if this was dilated down by 1/2 then the triangles points would be (2,2) (-2,2) and (0,4). Then if it is reflected over the x-axis the new points would be (2,-2) (-2,-2) and (0,-4) and if it was translated left by 2 units then the points would be (0,-2) (-4,-2) and (-2, -4), then if the triangle was translated up by 4 units the points and the new triangle would be (0,2) (-4,2) and (-2,0). And that would be what the new triangle would be.

The triangle went from (4,4) (-4,4) and (0,8) to (0,2) (-4,2) and (-2,0).

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Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria

Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is 645.3 cubic inches.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = $\frac{base}{2}=\frac{10}{2}=5\ inches.$

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

$20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2$

Using square root on both sides we get:

$19.36=leg2$

leg 2 = 19.36 inches.

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

$Volume=a^2\frac{h}{3}$

$Volume=10^2\times \frac{19.36}{3}$

$Volume=100\times 6.453$

$Volume=645.3\ cubic\ inches.$

Hence, the volume to the nearest tenth is 645.3 cubic inches.

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

3 0

2 years ago

2. Marquan sells pretzels at Auntie Anne and earns $15 per hour,

Andre45 [30]

dollars per hour = salary

dollars per hours multiplied with hours worked (h) = total earnings

15 x 2 = 30

15 x 3 = 45

15 x 5 = 75

(h)

6 0

3 years ago

Given that -15 is a root of x² +mx +45 = 0 find the constant m

o-na [289]

Answer:

m = 18

Step-by-step explanation:

Given :

=> -15 is a root of the polynomial

=> It is a zero to the solution.

Process :

Substitute -15 in place of x.

=> (-15)² + (-15)m + 45 = 0

=> 225 + 45 - 15m = 0

=> 15m = 270

=> m = 270/15

=> m = 18

5 0

2 years ago

the diagram shows a circle inscribed in a square find the area of the shaded region of the side length of the square is 6 meters

ANTONII [103]

24 hope it helps for you

6 0

1 year ago

A. Use substitution and show work

Alja [10]

A) 2x -3(3x -7) = 7 . . . . substitute for y
.. -7x = -14 . . . . . . . . . . . subtract 21
.. x = 2 . . . . . . . . . . . . . divide by -7
.. y = 3*2 -7 = -1 . . . . . . substitute for x
(x, y) = (2, -1)

B) 5(5x -2y) -2(3x -5y) = 5(8) -2(1) . . . . subtract 2 times 2nd equation from 5 times 1st
.. 19x = 38 . . . . simplify
.. x = 2 . . . . . . . divide by 19
.. y = (5x -8)/2 = 1 . . . . solve 1st equation for y, substitute x
(x, y) = (2, 1)

C) See the first graph.
(x, y) = (-4, 1)

D) See the second graph.
(x, y) = (3, 2)

6 0

3 years ago