9514 1404 393
Answer:
16.4
Step-by-step explanation:
The law of cosines is useful here. It tells you ...
b^2 = a^2 + c^2 -2ac·cos(B)
b^2 = 22^2 +10^2 -2·22·10·cos(44°)
b^2 ≈ 267.49
b ≈ √267.49 ≈ 16.35514
b ≈ 16.4
PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, subtract the numbers in the parentheses, then multiply by 11.
(12 - 9) = (3)
3 x 11 = 33
19 + 11 - 12^2 ÷ 3(33) - 7
Now, just multiply 33 by 3, and then square 12 (12 x 12).
19 + 11 - 144 ÷ 99 - 7
Now, you can divide 144 by 99, this is an infinite number, so..
144 ÷ 99 = 1.455
19 + 11 - 1.455 - 7
Finally add, then subtract.
30 - 1.455 - 7
28.545 - 7
The final answer is 21.545.
Answer:
x=70
Step-by-step explanation:
1)Write equation
2)Put line through equal sign
3) under -7n add 7
4)add 7 to 63 also
5)answer 63+7=70
6)x=70
<span>he total number of internal degrees is (n-2)*180 = 4*180 = 720 degrees.
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let a = one of the congruent angles.
you have:
angles 1, 2, and 3 = a.
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if a = 2 * angle 4, then angle 4 = 1/2 * a
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if a = 1/2 * angle 5, then angle 5 = 2 * a
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we have:
angle 1 = a
angle 2 = a
angle 3 = a
angle 4 = 1/2 * a
angle 5 = 2 * a
angle 6 = 115
</span><span>-----
since the sum of the angles is equal to 720, we have:
3*a + 2*a + 1/2*a + 115 = 720
combine like terms to get:
5.5 * a + 115 = 720
subtract 115 from both sides to get:
5.5 * a = 720 - 115 = 605
divide both sides by 5.5 to get:
a = 720/5.5 = 110
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angle 1, 2, and 3 are each 110 degrees.
angle 4 = 55 degrees
angle 5 = 220 degrees
angle 6 = 115 degrees
-----
the question is:
What is the measure of the smallest angle?
the answer is:
55 degrees.</span>
