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3 years ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 12

Mathematics

1 answer:

Dmitry [639]3 years ago

5 0

Answer:

x = 6

Step-by-step explanation:

let 'x' = BD

x/3 = 12/x

x² = 36

x = $\sqrt{36}$

x = 6

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Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?

Luba_88 [7]

Answer:

The value of $x$ is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that $\angle APR = \angle SPL$ . Given that $\angle APR = 13\cdot x -30$ and $\angle SPL = 3\cdot x + 70$ , we find that the value of $x$ is:

$13\cdot x - 30 = 3\cdot x +70$

$10\cdot x = 100$

$x = 10$

The value of $x$ is 10.

6 0

2 years ago

Pls list out the steps

Daniel [21]

First, the bigger square's area is 20*20= 400 cm^2

second, the circle's area is ¶r^2 = ¶(20/2)^2 = ¶(10)^2 = 100¶ cm^2

third, smaller square-- if we imagine it as 4 parts as 4 right triangles-- 1 part will be 1/2*(20/2)(20/2) = 1/2 (10)(10) = 50 cm^2 then the area of the smaller square is 4*50 = 200 cm^2

so the shaded parts = circle - smaller square =100¶ - 200 cm^2

the answer is 2

5 0

3 years ago

A spinner is divided into 8 section of equal size. The sections are numbered 1 through 8. Use this information to determine the

olga_2 [115]

1) 1/8

2) 1/2

Step-by-step explanation:

First of all, we notice that the spinner is divided into 8 sections of equal size.

So the number of sections is

n = 8

Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.

The probabilty of a certain event A to occur is given by

$p(A)=\frac{a}{n}$

where

a is the number of successfull outcomes (in which A occurs)

n is the total number of possible outcomes

Here we want to find

$p(7)$ = probability that the spinner lands on section 7

Here we have:

$a=1$ (only 1 outcome is successfull: the one in which the spinner lands on section 7)

$n=8$

Therefore, the probability is

$p(7)=\frac{1}{8}$

Here we want to find the probability that the spinner lands on an even numbered section.

As before, the total number of possible outcomes his:

$n=8$

which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8

The even-numbered sections are:

2, 4, 6, 8

So, the number of successfull outcomes is

$a=4$

Because there are only 4 even-numbered sections.

Therefore, the probability that the spinner lands on an even numbered section is:

$p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}$

8 0

2 years ago

Write the Function in function notation.<br><br> y=4b+5

RoseWind [281]

Answer: (b)=4b+5

hope this helped!! :)

8 0

3 years ago

Starting from 100 feet away, your friend skates toward you and then passes by you. She skates at a constant speed of 20 ft/sec.

amm1812

Your friend's distance from her starting point to your position is decreasing until she passes by you. This distance is D(t) = 100 ft - (20 ft / sec)t. We'll assume that your friend doesn't actually pass by you; she just gets closer and closer, from her initial 100 ft distance from you. Then:

D(t) = 40 ft = 100 ft - (20 ft / sec)t. Simplifying, we get:

-60 ft = -(20 ft / sec)t, and thus t = 3 sec.

6 0

3 years ago

Read 2 more answers