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3 years ago

12

Consider the following figure.

1 answer:

Karolina [17]3 years ago

4 0

Answer:

BD = 16

Step-by-step explanation:

By applying mean proportional theorem in the given right triangles,

$\frac{AD}{BD}=\frac{BD}{CD}$

AD × CD = BD²

8 × 32 = BD²

BD = √256

BD = 16

Therefore, measure of side BD = 16 units.

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Can somebody explain plsss

tatiyna

Answer:

slope = -2

Step-by-step explanation:

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so do

7-3/ 2-4 = your slope

4/-2

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3 years ago

Simplify (xy)^-3/(x^-5y)^3

Nesterboy [21]

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3 years ago

If a bus travels to a town 29 miles away, how long will it take to get there going 45 mph?

m_a_m_a [10]

S=d/t
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t=45/29
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5 0

3 years ago

Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

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$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

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Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

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And then the best option for this case would be:

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Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

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4 0

3 years ago

In 8 years, a girl will be 3 years older than twice her present age. How old is she now<br>

Lisa [10]

Answer:

5

Step-by-step explanation:

You can express this as a system of equations:

x in this instance will be her present age.

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simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.

5 0

3 years ago