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2 answers:
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We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =
cos β =
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Then, sin α =
cos β =
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Answer:
Width = 6.5 inches
Length = 10.5 inches
Step-by-step explanation:
Let
"l" be length of rectangle
and
"w" be width of rectangle
Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:
l = 4 + w
The perimeter is sum of all sides, so
Perimeter = l + l + w + w = 2l + 2w
The perimeter is 34, so we can write:
2l + 2w = 34
Putting 1st equation in 2nd, we get equation in "w" and solve for this first:
Width is 6.5 in
Now, l = 4 + w, so
l = 4 + 6.5 = 10.5
Length is 10.5 in