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jeka94
3 years ago
14

Find the missing side. Round to the nearest tenth

Mathematics
2 answers:
Sloan [31]3 years ago
4 0

Answer:15/√(2)

Step-by-step explanation:

Φ=45

Hypotenus=15

Opposite=x

sinΦ=opposite ➗ hypotenus

Sin45=x ➗ 15

Cross multiply

x=15 x sin45

x=15 x 1/√(2)

x=15/√(2)

Elina [12.6K]3 years ago
3 0

Answer:

10.61

Step-by-step explanation:

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22. The length of a rectangle is 5 inches longer than the
balandron [24]

Answer:

The answer is H

Step-by-step explanation:

If the length of the rectangle is 5 inches shorter than the width and the perimeter is 40, 15 is the only option that fits.  

3 0
3 years ago
A cube has side lengths of 2/5 of an inch, what is the surface area and volume of the cube?
saul85 [17]

Answer:

Surface area - 0.96, Volume - 0.064

Step-by-step explanation:

2/5- 0.40

For surface area, the equation is 6a^2

When you fill in the variable its

6(0.4)^2

follow pemdas, so you do the exponents first

(0.4)(0.4)

0.16

6(0.16)

0.96

The formula for volume is a^3

0.4^3

(0.4)(0.4)(0.4)

(0.16)(0.4)

0.064

4 0
3 years ago
Math problem 0.08 - 0.59x = .1619
Nat2105 [25]

Answer:

x=0.0819/0.59

Step-by-step explanation:

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7 0
3 years ago
Which exponential function goes through the points (1, 8) and (4, 64)? f(x) = 4(2)x f(x) = 2(4)x f(x) = 4(2)−x f(x) = 2(4)−x
EleoNora [17]

Answer:

y = 4(2^x)

Step-by-step explanation:

To write the exponential values, compare the y values. Notice they are multiples of 8 and they are increasing. This means the base is likely 2 or 4 since each of these numbers has the same multiples. Our options also only include base 2 and 4.

Try 4^1 = 4 and 4^4 = 256.

Try 2^1 = 2 and 2^4 = 16.

None of these give the exact values in the points. This means there is an initial value multiplied to them as well.

When x = 1 and the base is 4, the value is too small. But when x = 4, the value is too large. This cannot be reconciled.

When x = 1 and x = 4 for the base 2, both values are too small and could be multiplied by the same number to get the right values.

2*4 = 8

16*4 = 64

The initial value is 4 so the function is y = 4(2^x)

6 0
3 years ago
Find the surface area of the solid. Round your answer to the nearest tenth. Explain your answer. please help due tomorrow.. ​
Elan Coil [88]

Answer:

  226 ft²

Step-by-step explanation:

The surface of the figure can be considered in several parts:

a) top and bottom surfaces

b) outside surfaces

c) inside surfaces

__

The top and bottom surfaces each consist of a rectangle 8 ft by 4 ft with a 4 ft by 1 ft hole. The area of the larger rectangle without the hole is the product of its length and width:

  (8 ft)(4 ft) = 32 ft²

The area of the hole is the product of its length and width:

  (4 ft)(1 ft) = 4 ft²

Then the area of the surface around the hole is the difference of these:

  32 ft² - 4 ft² = 28 ft²

The top and bottom surfaces together have twice this area for a total of ...

  top and bottom area = 2·(28 ft²) = 56 ft²

__

The outside (lateral) area is the total area of the four rectangles that make up the sides of the figure. Each rectangle has a height of 5 ft, so we can compute the area by finding the perimeter of the figure and multiplying that by 5 ft.

The perimeter is the sum of the lengths of its top or bottom edges:

  8 ft + 4 ft + 8 ft + 4 ft = 2·(8 ft +4 ft) = 2·12 ft = 24 ft

Then the lateral area is ...

  outside lateral area = (5 ft)(24 ft) = 120 ft²

__

The area of the sides of the hole can be computed the same way. The hole is 5 ft high and its edge lengths are 1 ft and 4 ft. Then the total inside lateral area is ...

  inside lateral area = (5 ft)(2·(1 ft + 4ft)) = 50 ft²

__

So the total surface area of the solid is ...

  total area = top and bottom area + outside lateral area + inside lateral area

  total area = (56 + 120 + 50) ft²

  total area = 226 ft²

8 0
3 years ago
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