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3 years ago

A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is

Mathematics

1 answer:

VMariaS [17]3 years ago

4 0

Answer:

9.6

Step-by-step explanation:

First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.

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Find the slope of the line

Dima020 [189]

Answer:

Slope = $-\frac{3}{14}$

Step-by-step explanation:

We know that:

X₁ = -3

Y₁ = 5

X₂ = 11

Y₂ = 2

And the formula of the slope is:

Slope = $\frac{y_2 - y_1}{x_2 - x_1}$

Therefore:

Slope = $\frac{2-5}{11-(-3)}$

<u>Slope = </u> $-\frac{3}{14}$ <u />

Hope this helps!

4 0

3 years ago

Read 2 more answers

after flying at an altitude of 50 meters, a helicopter starts to descend when its ground distance from the landing pad is 11 kil

yarga [219]

Answer:

The angle of depression for the flight part is approximately 0.2604 degrees

Step-by-step explanation:

The given altitude at which the helicopter is flying = 50 meters

The horizontal distance of the helicopter from the helipad = 11 kilometers = 11,000 meters

The angle of depression = The angle of elevation = Arctan(Altitude/(Horizontal distance)

Therefore;

The angle of depression for the flight part = Arctan(50/(11,000)) ≈ 0.2604 degrees

8 0

3 years ago

Simplify. Evaluate the numerical bases. 3^2 b^2 c^-4 *3^-1 b^-5 c^7

photoshop1234 [79]

Hope I can be of assistance!

$3^2b^2c^{-4}\cdot \:3^{-1}b^{-5}c^7 \ \textgreater \ \mathrm{Apply\:exponent\:rule}:\ \:a^b\cdot \:a^c=a^{b+c}$
$3^{-1}\cdot \:3^2=\:3^{2-1}=\:3^1=\:3 \ \textgreater \ 3b^{-5}b^2c^{-4}c^7$

$\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \ b^{-5}b^2=\:b^{2-5}=\:b^{-3}$
$3b^{-3}c^{-4}c^7$

$\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \ c^{-4}c^7=\:c^{-4+7}=\:c^3$
$3b^{-3}c^3$

$\mathrm{Apply\:exponent\:rule}: \:a^{-b}=\frac{1}{a^b} \ \textgreater \ b^{-3}=\frac{1}{b^3} \ \textgreater \ 3\cdot \frac{1}{b^3}c^3$

$\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ \frac{1\cdot \:3c^3}{b^3}$

Finally
$\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \ \frac{3c^3}{b^3}$

Hope this helps!

8 0

4 years ago

which of the following plotted points on the graph represent the zeros of the function g(x) = (x^2 - 3x - 10)(x + 4)

Natalka [10]

Answer: The answer would be (-2,0),(-4,0), and (5,0)

Step-by-step explanation:

Guessing the answer choices are

(-2,0)

(4,0)

(0,10)

(-4,0)

(0,-2)

(0,-10)

(5,0)

3 0

2 years ago

Corrine bought a coffee and a bagel for $5.35. If the coffee cost $1.95, how much did the bagel cost?

ki77a [65]

5.35 minus 1.95 = 3.40

6 0

3 years ago

Read 2 more answers