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Kobotan [32]
3 years ago
10

A 10-foot ladder touches the side of a building at a point 8 ft above the ground. At what height would a. 7-foot ladder touch th

e building if it makes the same angle with the ground as the longer ladder?
Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

5.6 ft

Step-by-step explanation:

sin a = 8/10

sin a = x/7

8/10 = x/7

x = 8/10 * 7 = 28/5 = 5.6 ft

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Need help 10 points
grin007 [14]
The radius is 2 and area = r^2*pi so 4*pi gives you 12.56 so the exact answer would be 12.56 and the answer with pi would be 4 times 3.14!
8 0
2 years ago
How to calculate square root?
OLEGan [10]
To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go. 
 
The first two steps work for solving large perfect squares as well.

1. Divide your number into perfect square factors.

2. Take the square roots of your perfect square factors. 

3. If your number doesn't factor perfectly, reduce your answer to simplest terms. 

4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be. 
ie.  \sqrt{63}       you know that 7^2 =49 and 8^2 = 64,  so you can estimate that the \sqrt{63} would be between 7 and 8 but closer to 8.

5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie.  </span>\sqrt{45}
 =  \sqrt{9*5}
 = \sqrt{3*3*5}
 =   3 \sqrt{5}

Hope this helped!!!
6 0
3 years ago
X=2y=14 and x-3y=-11
levacccp [35]
X - 2y= 14
x - 3y= - 11   | * ( -1)

x - 2y = 14
-x + 3y= 11
----------------
/    y= 25

x - 2*25= 14
x - 50 =14
x= 14+50
x=64

7 0
3 years ago
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
I am Lyosha [343]

Answer:

13 l of 15%, 13 l of 25%, 26 l of 70%

Step-by-step explanation:

solutions:

  • 15%, 25% and 70%

final solution:

  • 52 l of 45%

This includes 0.45*52l= 23.4 l acid

Let's assume:

  • amount of 15% solution= x
  • amount of 25% solution= y
  • amount of 70% solution= z
  • and we have z=2y

so there are 2 equation:

  • x+y+z=52
  • 0.15x+0.25y+0.7z=23.4

or

  • x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
  • 0.15x+0.25y+1.4y=23.4
  • 0.15x+1.65y=23.4
  • 0.15*(52-3y)+1.65y=23.4
  • 7.8-0.45y+1.65y=23.4
  • 1.2y=23.4-7.8
  • 1.2y= 15.6
  • y=15.6/1.2
  • y= 13 l

--------

  • x= 52- 3*13= 13 l
  • z= 2y= 2*13= 26 l
6 0
3 years ago
We have 50 video gamers who share information about their favorite games. 20 people say that Borderlands II is their favorite ga
stealth61 [152]

Answer:

2 people

Step-by-step explanation:

Total number of people (n) = 50

Borderlands II (B) = 20

Fortnite (F) = 33

Minecraft (M) = 19

Borderlands and Fortnite (B&F) = 15

Borderlands and Minecraft (B&M)= 10

All games (B&M&F) = 5

The number of people that claimed more than one game as their favorite (X) is given by:

X=M+B+F-n\\X=19+20+33-50\\X=22\ people

Those people can be divided in B&F only, B&M only, M&F only and B&M&F:

X=(B\&M-B\&M\&F)+(B\&F-B\&M\&F)+(M\&F-B\&M\&F)+B\&M\&F\\X=B\&M+B\&F+M\&F-2*B\&M\&F\\22=10+15+M\&F-2*5\\M\&F=7\ people

7 people claimed that Minecraft and Fortnite were their favorites however, 5 of those people claimed all of the games as their favorite. Therefore, only 2 people declared Minecraft and Fortnite (exclusively) as their favorites.

7 0
3 years ago
Read 2 more answers
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