Answer:
<em>The single percentage change is 27.46%</em>
Step-by-step explanation:
<u>Percentage</u>
Suppose x is the initial number. It will be decreased by 7%.
(7/100)x=0.07x
x - 0.07x = 0.93x
This last number will be decreased by 22%.
0.93x*(22/100)=0.2046x
0.93x-0.2046x=0.7254x
The last number is 72.54% of the initial number. This is equivalent to a single decrease of:
100% - 72.54% = 27.46%
The single percentage change is 27.46%
A. The ratio of cups of sugar to butter is 3/4 : 1/8. Then multiply both ratios by 8.
8 x 3/4 = 6,
8 x 1/8 = 1.
3/4 : 1/8 is equal to 6 : 1. Therefore, 6 cups of sugar needed when there is 1 cup of butter.
Answer:gf
Step-by-step explanation:
Answer:
30 inches
Step-by-step explanation:
A = L * W * H
A = 5 * 3 * 2
A = 15 * 2
A = 30
Answer:
m∠A ≈ 103°
Step-by-step explanation:
Enough information is shown for us to be able to use the Law of Sines to find the angle. That tells us ...
sin(A)/a = sin(C)/c
A = arcsin(a/c·sin(C)) = arcsin(26/6·sin(13°)) = arcsin(0.974788)
A = 77.1° or 102.9°
The claim is that the figure is drawn to scale, so we can assume that A is an obtuse angle:
m∠A ≈ 103°
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<em>Additional comment</em>
The sum of angles A and B must be 180° -13° = 167°. Since angle A is the largest, it must be more than half this value, or more than 83.5°. That means, we must choose the obtuse angle for A, rather than the acute angle.
