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bogdanovich [222]
3 years ago
13

How high is the end of the ladder against the building? Round to the nearest tenth if necessary.

Mathematics
1 answer:
kifflom [539]3 years ago
6 0
H(ft) = √ (13² - 4²) = 12.4

It is a right-angled triangle and the Pythagorean theorem applies.

THEOREMA (by Pythagoras):
Given a right-angled triangle ABCABC as in the figure, then the relation is valida2 + b2 = c2a2 + b2 = c2where cc is the hypotenuse of the triangle and b, ab, a are the cathets.

h(ft) = √ (13² - 4²) = 12.4



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The perimeter of two triangles are 15 and 25. The area of the smaller triangle is 36. If the triangles are similar, what is the
DanielleElmas [232]

Answer:

60

Step-by-step explanation:

Set up a ratio problem

15/25 = 36/x

15x = 900

x = 60

6 0
3 years ago
(40 POINTS) Line m is parallel to line n. The measure of angle 4 is (9a + 28)°. The measure of angle 6 is (10a)°. What is the me
Tems11 [23]

Answer:

B. 100

Step-by-step explanation:

This is simple, the picture that is provided tells us the answer easily.

An angle lower than 90 degrees is called an acute angle. While one that is the same as 90 degrees is a right angle, and one that is more than 90 is obtuse.

We are asked to take a look at angle 4, we can see that is more than 90 degrees. Since 100 is the only answer with an amount higher than 90 degrees and fits the angle, it is the angle.

8 0
3 years ago
Explain why 30 divided by x is the same as 30 -x-x-x-x-x-x equal 0
sattari [20]
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7 0
3 years ago
If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?
Delicious77 [7]

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then <em><u>add them</u></em>!

____________________________

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

________________________________

Now, let's do the circle!

Area of a circle = πr² ...      (r = radius)

<u><em>*</em></u> In this diagram, the diameter of the circle is also the same length as "y"!

<u><em>* </em></u>And remember that<em> radius is half of the diameter</em>.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

_______________________________________

<u><em>*</em></u>But wait! Look at the figure! It looks like HALF of the circle's area <u>was included when we calculated the area of the rectangle</u>! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the <u>area of the rectangle</u> to the <u>area of the half-circle</u> to find the <u>area of THE ENTIRE FIGURE</u>!

<u>228 + 56.5 = 284.5 </u>

284.5 square feet is our answer!

6 0
2 years ago
Select all pairs of numbers that have a least common multiple of 18.
Stella [2.4K]
2 and 9
6 and 9
would be have the least common multiple of 18
6 0
3 years ago
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