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Karolina [17]
3 years ago
6

PLS HELP WILL MARK BRAINLIEST + 10 POINTS!!!!!

Mathematics
1 answer:
Setler79 [48]3 years ago
5 0
Let sin⁻¹(\frac{ \sqrt{3} }{2}) = x
Therefore, sin(x) = \frac{ \sqrt{3} }{2}
x should lie in first quadrant because √3 and 2 both are positive.

Therefore, sin(x) = 60° = π/3 
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2. Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, ho
maksim [4K]

2. The scale is 3 inches = 2 feet.

Divide total inches by 3, then multiply by 2:

30 / 3 = 10

10*2 = 20 feet.

3. Divide the 9cm by 3cm, then multiply by 8 km

9/3 = 3

3*8 = 24 kilometers.

4. Divide real distance by distance on map:

36 / 4 = 9

1 inch = 9 miles

5. Divide real dimension by the drawing dimension:

21 meters / 3 centimeters = 7

1 cm = 7 meters

6 0
3 years ago
How do you do this problems?
rewona [7]

x = 6

Step-by-step explanation:

It's based on similarity of triangles

DEF ~ △XYZ

\implies \mathsf{ \frac{DE }{ XY } =  \frac{EF}{YZ} =  \frac{ FD}{ZX}}

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.

I'm using \mathsf{ \frac{DE }{XY } =  \frac{EF}{YZ} }to get the value of x.

[You can use any two fractions out of the three given above. ]

\implies \mathsf{ \frac{10}{x - 1} =  \frac{8}{4}  }

\implies \mathsf{ \frac{10}{x - 1} =  2  }

\implies \mathsf{ 10 =  2 (x - 1) }

\implies \mathsf{ 10 =  2 x - 2 }

\implies \mathsf{ 10  + 2=  2 x  }

\implies \mathsf{ 1 2=  2 x  }

\implies \mathsf{ x = 6 }

Hence, the value of x is 6.

5 0
2 years ago
A triangle has a base of 6 yards and a height of 9 yards. By how much does the height need to decrease for the area to decrease
ELEN [110]
3.5 yards


Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
3 0
2 years ago
What is the answer to 7+y<12
LiRa [457]

Step-by-step explanation:

7 + y < 12 it can also be written as

7 + y = 12

y = 12 - 7

y = 5

or

y < 5

Hope it will help :)

3 0
3 years ago
A teacher chooses four students of a class of 36 to
levacccp [35]

Answer:

9 groups

Step-by-step explanation:

6 0
2 years ago
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