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2 years ago

Please help with two geometry questions!!!

Mathematics

1 answer:

V125BC [204]2 years ago

4 0

Answer:

2879.4 m

Step-by-step explanation:

The sine of an angle in a right triangle is the ratio of the side opposite to the hypotenuse. Here the interior angle at lower right is an "alternate interior angle" where the diagonal "transversal" crosses the parallel horizontal lines. Alternate interior angles are congruent, so the lower right interior angle is 10°. (Basically, the angle of elevation is equal to the angle of depression.)

Using the sine relation, we have ...

sin(10°) = (500 m)/x

Multiplying by x/sin(10°) gives us the solution ...

x = (500 m)/sin(10°)

x ≈ 2879.4 m

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In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1

lora16 [44]

The value of x is 1/5

Step-by-step explanation:

In a probability distribution, probability should be between 0 and 1. The probabilities add up to one.

Given probabilities are:

$\frac{1}{10}, \frac{1}{5}, \frac{1}{2}, x$

The sum of these probabilities will be equal to 1.

So,

To find x,

$\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x = 1\\\frac{1+2+5}{10}+x=1\\\frac{8}{10}+x=1\\x= 1- \frac{8}{10}\\x = 1- \frac{4}{5}\\x= \frac{5-4}{5}\\x=\frac{1}{5}$

The value of x is 1/5

Keywords: Probability, Distribution

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3 years ago

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Step-by-step explanation:

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3 years ago

What is the sum of 6x3+8x2-2x+4 and 10x3+x2+11x+9

AleksAgata [21]

Answer:

16x³ + 9x² + 9x + 13

Step-by-step explanation:

Given

6x³ + 8x² - 2x + 4 and 10x³ + x² + 11x + 9

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= (6x³ + 10x³) + (8x² + x²) + (- 2x + 11x) + (4 + 9)

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2 years ago

What is (x2 - 7x + 12) / (x-3) A. X-4 B. X-10 C. -4x+12 D. X-3

dybincka [34]

The answer is A. x - 4

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3 years ago

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hram777 [196]

Answer:

Step-by-step explanation:

to solve this system of equations we will add them

x-3y=-12

2x+3y=3 now +3y-3y=0

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x=-3

plug in the first equation

-3-3y=-12

-3y=-12+3

-3y=-9

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2 years ago