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3 years ago

A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?

1 answer:

4 0

Using the pythagorean theorem (a^2 + b^2 = c^2), this would make the equation 48^2 + b^2 = 80^2 (the hypotenuse must be plugged in as the "c" value).

Once you solve, this becomes 2304 + b^2 = 6400.

Subtract 2304 from 6400 and you get b^2 = 4096.

Take the square root of 4096 and you get b=64.

The answer is 64.

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What is i^2 simplified?

iren [92.7K]

i²=-1

It"s a basic result of complex number :)

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3 years ago

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Chris sells books for a commission of $2.60 per book and $50 a month. His salary is determined by the function M=2.60 b+50, wher

vazorg [7]

$115 hope this helps

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3 years ago

write an equation for a circle with a diameter that has endpoints at (-4, -7) and (-2, -5). round to the nearest tenth if necess

andrezito [222]

Answer:

The answer to your question is (x + 3)² + (y + 6)² = 2

Step-by-step explanation:

Endpoints (-4, -7) and (-2, -5)

Process

1.- Find the length of the radius

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

d = $\sqrt{(-2 + 4)^{2}+ (-5 + 7)^{2} }$

d = $\sqrt{2^{2} + 2^{2} }$

d = $\sqrt{4 + 4}$

d = $\sqrt{8}$

Radius = $\frac{\sqrt{8} }{2}$ = $\sqrt{2}$

2.- Find the center

Xm = $\frac{-4 - 2}{2} = \frac{-6}{2} = -3$

Ym = $\frac{-7 - 5}{2} = \frac{-12}{2} = -6$

Center = (-3, -6)

3.- Write the equation

(x - h)² + (y - k)² = r²

(x + 3)² + (y + 6)² = ( $\sqrt{2}$ )²

(x + 3)² + (y + 6)² = 2

3 0

3 years ago

Can u plz help me answer question 30

slamgirl [31]

We are given:

$3x^3-2x^2$

There seems to be nothing I can do to simplify this equation. However, I can factor out an $x^2$ since they both have at least an $x^2$ . Here is what we get:

$x^2(3x-2)$

This is in the simplest form I can get into. I cannot do anything more to simplify this expression. This is your final answer.

3 0

3 years ago

2. Red light: Pedro drives the same route to work on Monday through Friday. His route includes one traffic light.

Nataly [62]

Answer:

So, the probability is P=0.018.

Step-by-step explanation:

We know that Pedro drives the same route to work on Monday through Friday.

We know that there is a 55% chance that the light will be red.

We get that p=55%=0.55.

We conclude that the probability of not being a red light:

q=1-p=1-0.55=0.45.

We can calculate the probability that from Monday to Friday when Pedro goes to work there will be no red light, as follows:

$P=q^5\\\\P=0.45^5\\\\P=0.018$

So, the probability is P=0.018.

8 0

3 years ago