It is provided that pyramid has a square base v sides 8 and also a slant height of 5.

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Total area the square basic pyramid is

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Where, a is side size of square and l is slant height.

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Therefore area that square base pyramid is 144 square units.





In the diagram below, the edge of depression indigenous the optimal of the lighthouse come a speed boat is 27 degrees. The base of the lig

altoalsimce.org:

=

412

feet

Step-by-step explanation:

The angle of depression is constantly measured native the horizontal.

A triangle is created by the lighthouse, the ground and the boat. The edge of depression is no in the triangle, but it is same to the angle of key at the boat. (Alternate angle on parallel lines)

The edge at the height of the lighthouse, within the triangle is:

90°−27°

=63°

The street to the watercraft is the side opposite the edge of

63°

while the height of the lighthouse is the adjacent side.

opposite

adjacent

=tan 63°

distance

210=tan 63°

distance=210×tan 63°=412 feet


7 0
3 months ago
Read 2 an ext altoalsimce.orgs

Find the sine proportion of edge . Hint: use the slash symbol (/) to represent the portion bar, and enter the fraction with no spac
Mandarinka <93>

altoalsimce.org:

sine = 15/17

=sin*-1(15/17)


3 0
6 month ago

Subtract. 29.82 − 8.001 The difference is
maks197457 <2>

altoalsimce.org:

21.819 is the difference


8 0
10 month ago
Tina is planning come fence in one area for she dog. She wants to produce a rectangle-shaped area the 1,600 square feet for she pet and ca
mina <271>

Using ideal formulas, the dimensions of a rectangle (length and width) can be provided to calculate the area of the rectangle and its perimeter. Utilizing the given information, those formulas provide two equations in the 2 unknowns of length and width. Using any of a variety of methods, the solution that satisfies both equations have the right to be found. That equipment will carry out numerical worths for the length and also width of the area for the dog.

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A = 1600 = L·W

P = 160 = 2(L + W)

Solving the 2nd for L and also substituting right into the first, we get

L = 80 - W

1600 = (80 -W)·W

W² -80W +1600 = 0 . . . . . Subtract the right side, put in conventional form

(W -40)² = 0 . . . . . . . . . . . . Factor the equation

W = 40 . . . . . . . . . . . . . . . . This has actually one solution, that multiplicity 2

L = 80 - 40 = 40 . . . . . . . . Usage the previously emerged equation to uncover L

The dog pen will certainly be a 40-foot square.

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The graph reflects another way to settle these equations. The equipment is the point(s) wherein the curves intersect. There is only one point: together = W = 40.