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3 years ago

Triangle A'B'C' is the image of triangle ABC under a rotation about point P

Mathematics

1 answer:

Lina20 [59]3 years ago

4 0

9514 1404 393

Answer:

a. -165°

Step-by-step explanation:

The line from A through P to A' is almost straight, so an angle near 180° is indicated. In the figure, A' is to the left of the line AP, so clockwise rotation is indicated.

The rotation angle is a negative angle near 180°. The best choice is ...

a. -165°

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The diagram below shows the measurements of two identical rectangular prisms joined together. Austin says the combined volume of

Ksivusya [100]

Answer:

450 cubic meters

Step-by-step explanation:

( 15 X 5 X 3) + ( 15 x 5 x 3)
225 + 225
450 cubic meters

Austin didn't add the 2 prisms, he multiplied the 1st prism and kept it as the answer.

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3 years ago

Three times a number is 4 more than twice the number

Gelneren [198K]

Answer:

3n = 2n + 4

Step-by-step explanation:

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3 years ago

The gable end of the roof shown is divided in half by a vertical brace. Find the distance h (in ft) from an eave to the peak. 41

nlexa [21]

Answer:

h = 9 ft

Step-by-step explanation:

Assume the diagram is like the one below.

∆ABD is a right triangle.

We can use Pythagoras' Theorem to find the height h.

$\begin{array}{rcl}h^{2} + 40^{2} & = & 41^{2}\\h^{2} + 1600 & = & 1681\\h^{2} & = & 1681 - 1600\\& = &81\\h& = & \sqrt{81}\\&=& \mathbf{9}\end{array}\\\text{The height of the gable is $\large \boxed{\textbf{9 ft}}$}$

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3 years ago

If the altitude of a star is 37 degrees, what is the angle between the star and zenith?

scoundrel [369]

Answer:

Step-by-step explanation:

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3 years ago

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

fenix001 [56]

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

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3 years ago