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schepotkina [342]

2 years ago

15

Math question NO Guessing Please Help

1 answer:

andrezito [222]2 years ago

8 0

The angle of interest is the one at the end of the shadow looking up toward the flagpole. Thus the length adjacent to the angle is that of the shadow, 22 ft. The length opposite the angle is the height of the flagpole, 45 ft. The tangent of the angle is the ratio of the opposite length to the adjacent one.

... tan(angle) = (45 ft)/(22 ft)

... angle = arctan(45/22) ≈ 63.9° . . . . . matches selection A.

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Dahasolnce [82]

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2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,

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Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates belo

Natalka [10]

Answer:

(-3, 2)

Step-by-step explanation:

Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$P(-4, 4) = (x_1, y_1)$

$E(0, -4) = (x_2, y_2)$

$m = 1, n = 3$

Plug in the necessary values to find x and y coordinates for point Q as follows:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{1(0) + 3(-4)}{1 + 3}$

$x = \frac{0 - 12}{4}$

$x = \frac{-12}{4}$

$x = -3$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{1(-4) + 3(4)}{1 + 3}$

$y = \frac{-4 + 12}{4}$

$y = \frac{8}{4}$

$y = 2$

The coordinates of the point Q are (-3, 2))

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2 years ago