All categories

2 years ago

A 24-foot ladder leans against a building. The foot

Mathematics

1 answer:

romanna [79]2 years ago

5 0

Answer:

73°

Step-by-step explanation:

Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.

You might be interested in

A gasoline tank for a certain car is designed to hold 14.0 gal of gas. Suppose that the variable x = actual capacity of a random

MariettaO [177]

Answer:

A gasoline tank for a certain car is designed to hold 14.0 gal of gas.

$\mu = 14$

$\sigma = 0.2$

a)What is the probability that a randomly selected tank will hold at most 13.7 gal?

We are supposed to find $P(x \leq 13.7)$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{13.7-14}{0.2}$

$z=-1.5$

Refer the z table for p value

p value = 0.0668

So, $P(x \leq 13.7)= 0.0668$

The probability that a randomly selected tank will hold at most 13.7 gal is 0.0668

b)What is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?

We are supposed to find $P(13.4$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{13.4-14}{0.2}$

$z=-3$

P(x<13.4)=P(z<-3)= 0.0013

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14.3-14}{0.2}$

$z=1.5$

P(x<14.3)= 0.9332

$P(13.4$

The probability that a randomly selected tank will hold between 13.4 and 14.3 gal is 0.9319

We are supposed to find $P(x \leq 14)$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14-14}{0.2}$

$z=0$

Refer the z table for p value

p value = 0.5

So, $P(x \leq 14)= 0.5$

Two such tanks are independently selected, the probability that both hold at most 14 gal = 0.5 * 0.5 = 0.25

Hence If two such tanks are independently selected, the probability that both hold at most 14 gal is 0.25

3 0

2 years ago

Graph a line that goes through the following 2 points ,(-4,-5),(-3,-3) and write an equation

yuradex [85]

Hope this helps!
the equation is y=mx+b and when you plug in the numbers it would be y=2x+3

6 0

3 years ago

Classify the triangle with side lengths 11 cm, 30 cm, and 39 cm as acute, right, or obtuse

Ahat [919]

Answer:

This triangle is a obtuse traingle.

Step-by-step explanation:

First of all, it is impossible that this triangle is actute since the sides are different length.

Right is also not possible ( in this case ) because there are two pretty far sides.

30, 39

A obtuse triangle have a short side of 11 cm pointing top right and a side of 30 cm pointing directly to the right and the 39 cm side connecting the ends of the other sides.

\ Third side ( 39 cm , the one connecting

First side ( 11 cm ) \ the ends of side 1 and 2)

\______________

Second side ( 30 cm )

<h3><u><em>Please rate this and please give brainliest. Thanks!!! </em></u></h3><h3><u><em>Appreciate it! : )</em></u></h3><h3><u><em></em></u></h3><h2><u><em>And always, </em></u></h2><h2><u><em> SIMPLIFY BANANAS : )</em></u></h2>

5 0

3 years ago

Define highest common factor

wariber [46]

Answer:

Of two numbers, The largest whole number which is a factor of both.

Step-by-step explanation:

6 0

2 years ago

What is thirty two percent of fifty six

mojhsa [17]

Answer: 17.92

Step-by-step explanation:

32% of 56

Change to fraction

32 /100 x 56

Change to decimal

0.32 x 56

= 17.92

5 0

3 years ago