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Zielflug [23.3K]
3 years ago
12

A building casts a shadow that is 15 meters in length The distance from the top of the building to the top of the shadow is 25 m

eters. What is the
height of the building?​
Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

20 meters

Step-by-step explanation:

The shadow of the building will look like a right triangle. In this problem, the hypotenuse of the triangle is 25 meters, and one of the sides is 15 meters. What we are trying to find is the length of the other side.

We can do this by using pythagoreans theorem.

15^2 + x^2 = 25^2\\225 + x^2 = 625\\x^2 = 400\\x =  20

So, the last side (or the height of the building) is 20 meters.

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Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s
pashok25 [27]

Answer:

15,120 for the first question. 1,680 if one of the books is a must

Step-by-step explanation:

When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.

We can make an equation to represent this,

9 x 8 x 7 x 6 x 5

Multiplying all of that out gets you 15,120.

The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.

8 x 7 x 6 x 5

Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.

5 0
3 years ago
Can somone pls help me with this I have a C- in math and I really need help also a like show work on each one plsss
Lady bird [3.3K]

Answer:

1. \frac{3}{8}

2. \frac{1}{4}

3a. -\frac{1}{4}

3b. 3

3c. -\frac{4}{5}

4. m = \frac{y_1 - y_2}{x_1-x_2}\\

Step-by-step explanation:

1.

Rises 6 inches for every horizontal change of 16 inches

Slope = rise/run

Slope = 6/16

Slope = 3/8

2.

Rises 3 feet for every horizontal change of 12 feet

Slope = rise/run

Slope = 3/12

Slope = 1/4

3a.

m = \frac{y_1 - y_2}{x_1-x_2}

m = \frac{3-2}{-2-2}

m = \frac{1}{-4}

m = -\frac{1}{4}

3b.

m = \frac{y_1 - y_2}{x_1-x_2}\\

m = \frac{-1 - 2}{-1-0}

m = \frac{-3}{-1}

m = 3

3c.

m = \frac{y_1 - y_2}{x_1-x_2}\\

m = \frac{1 - (-3)}{-1-4}\\

m = \frac{4}{-5}\\

m = -\frac{4}{5}

4.

m = \frac{y_1 - y_2}{x_1-x_2}\\

7 0
3 years ago
What is the rotation?
Vlad1618 [11]
It means to move something
5 0
3 years ago
identifiy an equation in point slope form for the line perpendicular to y=3x+5 that passes through (4,-1)
dedylja [7]

Answer:

Hey there!

A line perpendicular to y=3x+5 would have a slope of -1/3.

Thus, the problem now becomes to write a line in point slope form with a slope of -1/3, and that passes through (4, -1)

y+1=-1/3(x-4), would be your answer.

Hope this helps :)

6 0
3 years ago
What is the center of the circle shown below?<br><br>A. B<br><br>B. A<br><br>C. Y<br><br>D. AB
kirill115 [55]

If you look at the circle, center is B. It's located right in the center of the circle.

Answer

A. B

6 0
3 years ago
Read 2 more answers
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