9514 1404 393
Answer:
13. (A, b, C) = (30.66°, 91.042, 25.34°)
14. insufficient information
Step-by-step explanation:
13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.
b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59
b ≈ 91.042
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A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°
C = 180° -124° -30.66° = 25.34°
The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).
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14. One side and one angle do not define a unique triangle. There is insufficient information to find f.
Answer: 4
Since we need to find the y, we're going to substitute the x's with the numbers in the x column.
Let's try to find the first y box.
We're going to substitute all of the x's with -0.5.
y = 4(-0.5)^2 - 8(-0.5) + 4
Now, we're just going to solve that.
-2^2 - 4 + 4
-2 squared is 4. It's a positive 4 because a negative times a negative is a positive.
4 - 4 + 4
= 4
Answer:
(9, 3)
Step-by-step explanation:
(1) 4(0.25x + 0.5 y) = 3.75 ⟶ x + 2y = 15
(2) 4x - 8y = 12 ⟶ x - 2y = 3
2x = 18
x = 9
9 - 2y = 3
-2y = -6
y = 3
Step-by-step explanation:
the solution is in the picture
1/5 of 500 is 100. 500 - 100 leaves 400 sheets of paper.
to find 2/5 of the remaining 400 sheets divide 400/5 then multiply by 2
400/5= 80 x 2 = 160 sheets which is 2/5 of the remaining 400.