Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
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This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
Answer:
Ming must add 0.375 L of a 10% sugar solution
Step-by-step explanation:
if 3 L = 80%
1.5 L should = 40% (since it is half of 80%)
and if 40 divided by 4 = 10%
1.5 also needs to be divided by 4
so 1.5 divided by 4 = 0.375
that means Ming must add 0.375 L of a 10% sugar solution
Answer:
3) 5 centimeters
Step-by-step explanation:
Plug 3 and 4 into the formula for the Pythagorean Theorem. You get 5.
Answer:
53 pushes
Step-by-step explanation:
Total Volume of soap = 474 mL
Volume per push = 8mL
Mimimum volume required = 50mL
The equation which represents the number of push, x that can be made :
Total volume = minimum volume + (volume per push * number of pushes)
Total volume = 50 + (8 * x)
474 ≤ 50 + 8x
474 - 50 ≤ 8x
424 ≤ 8x
53 ≤ x
The number of pushes that can be made = 53
Answer:
see below
Step-by-step explanation:
8 can be factored from each of the terms of the sum. (It's the distributive property.)
8·0 + 8·1 + 8·2 + ... + 8·26 + 8·27
= 8·(0 +1 +2 + ... +26 +27)