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lesya [120]
3 years ago
5

Can someone help me wit this plzz??!!

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

First calculate the total volume in feet, since those are the dimensions given.

Volume = 10 ft x x8 ft x 1/2 ft ( 6 inches is 1/2 foot)


Volume = 40 cubic feet

To convert cubic feet to cubic yards, divide by 27:

40 cubic feet / 27 = 1.48 cubic yards.

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Find two positive consecutive integers whose product is 132.
iren2701 [21]
If x is the first integer, then x+1 is the second. x(x+1)=132 or x^2+x-132=0. This factors as (x-11)(x+12)=0. Thus either x=11 or x=-12 
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7 0
3 years ago
IMAGE 1: Find the value of the indicated trigonometric ratio cos α
Sphinxa [80]

Answer:

28.07° ; 70.53° ; 53.13° ; 36.87°

Step-by-step explanation:

Using PYTHAGORAS RULE :

IMAGE 1:

value of cos α equals :

cos α = Adjacent / Hypotenus

cos α = 15 / 17

cos α = 0.88235

α = cos^-1 (0.88235)

α = 28.07°

IMAGE 2:

sin β = Opposite / Hypotenus

sin β = 14√2 / 21

sin β = 0.9428

β = sin^-1(0.9428)

β = 70.53°

IMAGE 3:

From trigonometry :

cot = 1 / tan

Tan = Opposite / Adjacent

Therefore, Cot = Adjacent / Opposite

cot γ = 3/4

cot γ = 0.75

γ = cot^-1 (0.75)

γ = 53.13°

IMAGE 4:

tan α = Opposite / Adjacent

tan α = 15 / 20

tan α = 0.75

α = tan^-1 (0.75)

α = 36.87°

6 0
3 years ago
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