The dashed line shows how you cut the bottom of a rectangular door so it opens more easily.
1 answer:
See the picture attached to better understand the problem
we know that
m ∠ACD=91.5°
m ∠ACD+m ∠ACB=180°-------> by supplementary angles
so
m ∠ACB=180-91.5-----> m ∠ACB=88.5°
m∠CAB+m ∠ACB=90°-----> by complementary angles
so
m ∠CAB=90-88.5-----> 1.5°
m∠ CAB is <span>the new angle at the bottom left side of the door
the answer is
1.5</span>°
we know that
m ∠ACD=91.5°
m ∠ACD+m ∠ACB=180°-------> by supplementary angles
so
m ∠ACB=180-91.5-----> m ∠ACB=88.5°
m∠CAB+m ∠ACB=90°-----> by complementary angles
so
m ∠CAB=90-88.5-----> 1.5°
m∠ CAB is <span>the new angle at the bottom left side of the door
the answer is
1.5</span>°
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Answer:
1056.25π square units
Step-by-step explanation:
A few formulas an definitions which will help us:
(1) , where c is the circumference of a circle and d is its diameter
(2) , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3)
.
We can rearrange equation (1) to put d in terms of π and c, giving us (4) , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:
We can now substitute c for our circumference, 65, to get our answer in terms of π: