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2 years ago

Express the trig ratios as fractions in simplest terms.

Mathematics

1 answer:

Neporo4naja [7]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

$\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}$

Hence, both ratios are equal to each other

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Answer:

6=69, 7=69, 8=69

Step-by-step explanation:

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3 years ago

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3 years ago

Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig

Andrews [41]

Answer:

The equation is $9x(x+2)=1,080.$

The solution of the equation is x=10.

Step-by-step explanation:

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Let x ft be the widht of the stall, then the length of the stall is x+2 ft. If each stall must be 9 ft high, then the volume of the stall is $V=x\cdot (x+2)\cdot 9=9x(x+2)\ ft^3.$

The volume of each stall is $1,080\ ft^3,$ then

$9x(x+2)=1,080,\\ \\x(x+2)=120,\\ \\x^2+2x-120=0,\\ \\D=2^2-4\cdot (-120)=4+480=484=22^2,\\ \\x_{1,2}=\dfrac{-2\pm 22}{2}=-12,\ 10.$

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3 years ago

What percent of 30 is 75

nikitadnepr [17]

Answer:

_________________

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3 years ago

seats for english physics and mathematics in a school are in the ration 5:7:8. there is a proposal to increase these seats by 40

Elza [17]

Answer:

2 : 3 : 4

Step-by-step explanation:

40% of 5 = 2

50% of 7 = 3.5

75% of 8 = 6

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7 : 10.5 : 14

14 : 21 : 28

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3 years ago