Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5
Answer:
<h2>The solution is -9 < x < 17.</h2>
Step-by-step explanation:
|x-4|<13.
The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.
Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.
The formula of pyramid:
Where v is the volume, a is the base area and h is the height.
We can then put the given information into the formula:
176 = (1/3)(3x × x)(11)
(176 × 3) / 11 = 3x^2
3x^2 = 48
x^2 = 48/3
x = _/16
x = 4
U have to add all the percentages up which would add up to 1
Answer:
11) 49 in.²
13) 4.515 m²
Step-by-step explanation:
11) area of square = (side)²
area = (7 in.)² = 7 in. × 7 in. = 49 in.²
13) area of triangle = base × height/2
area = 4.3 m × 2.1 m / 2 = 4.515 m²
