Need to be taught how to do this, thanks
1 answer:
Answer:
x = 36.27
Step-by-step explanation:
By using the steps to find sin θ backwards, we can find x, the hypotenuse.
sin θ = or side
(as seen in my example picture).
We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.
So the equation now looks like:
sin 32° =
Don't solve for the sin 32 yet! First, we have to isolate the variable.
To get rid of the x in the denominator you have to multiply both sides by x:
( sin 32 ) · x = ( ) · x
( sin 32 ) x = 20
Then, you have to divide both sides by sin 32 to get x by itself:
(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )
x = 20 ÷ ( sin 32 )
Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.
The question asks you to round to 2 decimal places so:
x = 36.27
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Answer:
Corn was planted in 24 sq.ft. of the vegetable garden.
Step-by-step explanation:
Length of garden = 9 ft
width of garden = 8 ft
Hence we will first find the total area of garden.
Total area of garden = length × width =
He planted 1/2 of the garden with vegetables.
Hence.
Area of Vegetables garden =
He planted tomatoes in 1/3 of the vegetable garden and corn in the rest
Area in which tomatoes was planted =
Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted =
Hence Area of vegetable garden in which corn was planted is 24 sq.ft.