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Ahat [919]
3 years ago
13

The second angle in a triangle is one third as large as the first. The third angle is two thirds as large as the first. Find the

angle measures.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0
First angle 90 degrees

Second angle 30 degrees

Third angle 60 degrees
You might be interested in
Which fraction is between 0 and 1/2
Greeley [361]
A fraction between 0 and 1/2

What is smaller than 1/2?

Smaller than 0.5 is 0.3

0.3 = 1/3

A fraction smaller than 1/2 and bigger than 0 is 1/3

Final answer:        1/3 
5 0
3 years ago
HELPPPPPPPPPPPPPPP please
Bess [88]
The answer is 142 degrees. Angles m<1 and the 38 degree angle are supplementary angles. Supplementary angles equal 180 degrees so, you would do 38 + m<1 = 180. Since you don’t know angle 1, you would subtract 38 from both sides. Once you do that, you get your answer of 142 degrees.
4 0
3 years ago
A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3
zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

Volume = l × w × h

Where:

  • l represents the length.
  • w represents the width.
  • h represents the height.

Substituting the given parameters into the formula, we have;

Volume = x × 4x × h

Volume = 4x²h

At a volume of 12 ft³, we have:

12 = 4x²h

h = 12/4x²

h = 3/x²

For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

Area = (x × h) + (x × h) + (4x × h) + (4x × h)

Area = xh + xh + 4xh + 4xh

Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

Cost = $45xh.

Also, the cost function would be given by:

C(x) = 12x² + 10xh

C(x) = 12x² + 10x(3/x²)

C(x) = 12x² + 30/x

Taking the first derivative, we have:

dC/dx = 24x - 30/x²

24x = 30/x²

24x³ = 30

x³ = 30/24

x = 1.08

Therefore, the height will be:

h = 3/x²

h = 3/1.08²

h = 3/1.1664

Height, h = 2.57 cm.

Read more on minimum height here: brainly.com/question/27308167

#SPJ1

5 0
2 years ago
A rectangle has a perimeter of 52 cm and an area of 144 square cm. Find its length and width if they are in whole numbers.
Bingel [31]
8 and 18:
8+8+18+18= 52
8*18 = 144

Tada!
6 0
3 years ago
A bag contains 5 red marbles, 8 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probabi
Gala2k [10]

70000000000 + 8818282828828

8 0
2 years ago
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