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GenaCL600 [577]
3 years ago
9

Can someone pls help ASAP

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Answer:

89.44

Step-by-step explanation:

using the Pythagorean Theorem: a^{2} +b^{2}=c^{2}

80^{2} +b^{2} =120^{2} \\6400+b^{2} =14400\\b^{2}  = 8000\\b = 40\sqrt{5}

120 is the hypotenuse so it would be c in the equation.

To solve, I simplified and isolated the variable. I got the square root of 8000 simplified (but idk how to write that out lol)

This answer is closest to 89.44

*Hope this helped! Have a great day/ night wherever you are! : )*

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Please helloollllllppppp
ipn [44]
Total blocks = 35+47+22+21 = 125

Sum of red blocks and green blocks = 47+35 = 82

So the probability = 82/125 = 0.656
3 0
3 years ago
Read 2 more answers
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1960 mailboxes t
MaRussiya [10]

Answer:

  7088 m²

Step-by-step explanation:

The area of the half-cylinder is half the area of a cylinder with the same dimensions. This half-cylinder has a radius of 0.3 m and a length of 0.8 m, so its area is ...

  A = πr(r +l) = π(0.3 m)(0.3 m+0.8 m) = 0.33π m² ≈ 1.0362 m²

The area of the bottom part of the box is the sum of its lateral area and its base area.

  lateral area = Ph = (2(0.6m +0.8m))(0.75 m) = 2.1 m²

  base area = lw = (0.8 m)(0.6 m) = 0.48 m²

The total area is then ...

  total area = half-cylinder area + lateral area + base area

  = 1.0362 m² +2.1 m² +0.48 m²

  = 3.6162 m²

__

The area for 1960 mailboxes will be 1960 times this area, or ...

  area for week's production = 1960 × 3.6162 m² = 7087.752 m²

It will take about 7088 square meters of aluminum to make these mailboxes.

5 0
3 years ago
In a triangle ABC, if <B = 60° and the ratio of two sides is a: c= 2: square root 3+1, then <A=
slavikrds [6]

Your answer is 75°.

To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:

b² = a² + c² - 2×a×c×cos(B)

b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)

b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5

b² = 8 - 2 = 6

b = √6

Then you use this length in the sine rule, and find the angle:

\frac{sin(A)}{\sqrt{3}+1 } =\frac{sin(60)}{\sqrt{6} }

sin(A) = (√6 + √2)/4

A = 75

I hope this helps! Let me know if you have any questions

7 0
3 years ago
1. Which point is located at (-2,-6)
andriy [413]
1 k
2 n j f
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7 0
3 years ago
Read 2 more answers
A wall has an area of 40 square feet. Its height is 8 feet. Which equation could you use to find its width?
lord [1]

Answer:

40/8=5

Other side length = 5

Step-by-step explanation:

7 0
2 years ago
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