3 years ago

Help please! Thank you

Mathematics

1 answer:

Margarita [4]3 years ago

8 0

Answer:

Step-by-step explanation:

Red marble probably currently: 12/32 = 3/8

Guess and check (using the multiple choice answers):

F: 12 + 13 / 32 + 13 = 25/45 = 5/6; does not equal 3/5

G: 12 + 18 / 32 + 18 = 30/50 = 3/5; does equal 3/5

H: 12 + 28 / 32 + 28 = 40/60 = 2/3; does not equal 3/5

J: 12 + 32 / 32 + 32 = 44/64 = 11/16; does not equal 3/5

K: 12 + 40 / 32 + 40 = 52/72 = 13/18; does not equal 3/5

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A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt

DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

$\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\ \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565$ ft.