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Karolina [17]
4 years ago
15

Write the ratio as a fraction in simplest form

Mathematics
1 answer:
natta225 [31]4 years ago
4 0
24m > 10m

5m < 20m

hope this helps
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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui
Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= \frac{dx}{dt}=1. 8 m/s

\triangle ABD\sim\triangle ECD

Therefore, \frac{AB}{EC}=\frac{BD}{CD}

\frac{y}{2}=\frac{12}{x}

xy=24

Differentiate w.r.t t

x\frac{dy}{dt}+y\frac{dx}{dt}=0

x\frac{dy}{dt}=-y\frac{dx}{dt}

\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}

When the man is 4 m from  the building

Then, we have x=12-4=8 m

\frac{dx}{dt}=1.8 m/s

Substitute the values in above equation then, we get

8y=24

y=\frac{24}{8}=3

Substitute the values then we get

\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0
3 years ago
Where do treed go when one tree has a birthday?
Temka [501]
Old were is this supposed to be a joke if it’s not am seey
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Simplify the expression.
bagirrra123 [75]

Answer:

Step-by-step explanation:

Exponent rule:

\boxed{(a^{m})^{n}=a^{m*n}}

(x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\

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3 0
2 years ago
Part A: A triangle has angles measuring 2xo, xo, and 45o. Write an equation that can be solved to find the value of x?
musickatia [10]

Answer:

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X = 45°, 2x = 90°

Step-by-step explanation:

Since the angles in a triangle sums up to 180

And the angles in this particular triangle is measured as 2x° + x° + 45° = 180

With this equation, we can find the value of x and 2x

2x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

Now divide both sides by 3

3x/3 = 135/3

X = 45

Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°

7 0
3 years ago
ACnis tangent to the circle with center at B. the measure of ACB is 24 degrees.
GREYUIT [131]

Answer= 66 degrees

All triangles add to 180 so 180-90-24= ABC

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