To calculate a volume of a rectangle prism, a cabinet we only need to multiply the dimensions it has, those are height, width, deep:
v = (24)(72)(18)
v = 31104 in^3
Answers
b = 2.77 m
A = 43.0°
C = 111.1°
cosine law to find b
b = 2.7708\ m
Find angle A with sine law
![\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} \\ \\ \sin A = \frac{a \sin B}{b} \\ \\ A = \sin^{-1} \left[ \frac{a \sin B}{b} \right] \\ \\ A = \sin^{-1} \left[ \frac{4.33 \sin 25.9}{2.7708} \right] \\ \\ A = 43.0467020](https://tex.z-dn.net/?f=%5Cdisplaystyle%0A%5Cfrac%7B%5Csin%20A%7D%7Ba%7D%20%3D%20%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%20%5C%5C%20%5C%5C%0A%5Csin%20A%20%3D%20%5Cfrac%7Ba%20%5Csin%20B%7D%7Bb%7D%20%5C%5C%20%5C%5C%0AA%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7Ba%20%5Csin%20B%7D%7Bb%7D%20%20%5Cright%5D%20%5C%5C%20%5C%5C%0AA%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7B4.33%20%5Csin%2025.9%7D%7B2.7708%7D%20%20%5Cright%5D%20%20%5C%5C%20%5C%5C%0AA%20%3D%2043.0467020)
Find C with angles in triangle sum to 180
A + B + C = 180
C = 180 - A - B
C = 180 - 43.0467020 - 25.9
C = 111.1
The amount of pounds of vegetable needed in fractions to make the stew exactly 10 pounds is 3 3 / 8 pounds
<h3>How to solve fractions?</h3>
The amount of pounds of vegetable needed to make the stew exactly 10 pounds can be calculated as follows:
potatoes weight = 2 7 / 8 pounds = 23 / 8 pounds
green beans weight = 1 1 / 4 = 5 / 4 pounds
pepper weight = 2 1 / 2 = 5 / 2 pounds
Therefore,
weight needed = 10 - 23 / 8 - 5 / 4 - 5 / 2
weight needed = 80 - 23 - 10 - 20 / 8
weight needed = 80 - 53 / 8
weight needed = 27 / 8
weight needed in fractions to make the stew exactly 10 pounds = 3 3 / 8 pounds
learn more on fractions here: brainly.com/question/27894307
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The angles in a triangle always add up to exactly 180 degrees. To see if this can be a triangle, add up the given angle measures. If the sum is not 180, then it cannot be a triangle.
140+43+7=190
A triangle CANNOT have the angles measures as 140, 43, and 7.
Hope this helps!!
