This is actually pretty simple, so i think you should catch on fast, so basically, the opposite of 59 is -59. so basically, just add a negative on there and your all set. If its negative, switch it to positive. Hope it helped!
5 quarts. Split the shape into a rectangle and two triangles on the sides. find the area of the rectangle using length times width (7x4=28) find the area of the triangles using 1/2 times length times width (1/2x4x3=6) add all of them together to get 40. divide 40 by 8 to get how many quarts are needed
Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
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If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
Answer:
Step-by-step explanation:
Given
Required
Solve
Substitute in
Open bracket
Collect like terms
Divide both sides by 2
Substitute in
Answer:
8.94 (Rounded would be 9)
Step-by-step explanation:
By using the Pythagorean Theorem formula,
A^2+B^2 = C^2
You have the hypotenuse (c) = 12
and you have a leg (a) = 8
and you're trying to find another leg (b) = x
In order to find this, you'll have to change up the formula in order to find (B) instead of (C)
B^2 = C^2 - A^2
(B) = (12)^2 - (8)^2
(B) = 144 - 64
(B) = 80
Square root of 80
B = 8.9
