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2 answers:
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Answer:
x = 10 , y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° = , sin60° =
, then
cos60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
sin60° = =
=
( cross- multiply )
2y = 20 ×
= 20
( divide both sides by 2 )
y = 10
Answer:
1.
2. x
=
3.
4. Yes (explanation given below)
Step-by-step explanation:
1. Find the area of the wall including the door...
Just multiply the numbers for the width and length.
x
=
And now, as you can see.
is our answer for 1.
2. Find the area of the door. (improper fraction)
Again, we just have to multiply, then simplify, and remember to keep it in improper fraction format.
x
=
so now, we can see that that is the area of the door, but according to the question, we have to leave the answer in the improper fraction format. To turn a mixed number into a improper fraction, we have to multiply the denominator of the fraction with the whole then, add the numerator, the answer that we get is going to be the numerator of the improper fraction and the denominator remains the same.
20 1/4 = 81/4 (improper fraction)
So, 81/4 is our answer for 2.
3. Without door space, give how much wall area there is. (mixed number)
So, as we already know that the door covers up 20, so all what we have to do is, take the area of the Whole wall and door and subtract it by the door area.
WHOLE wall = 97
Door only = 20
So, hence, the answer for 3. is 77
4. Does Amelia have enough paint? Explain...
Yes, amelia has enough paint for covering the whole intire wall because she has enough paint for a 100 square feet, and the actual surfact area of her wall is JUST 97 3/4 square feet. So, she definitely has enough paint to cover that wall and door.
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