They add to 180
x+y+z=180
smallest (lets say that's x) is 36
36+y+z=180
minus 36 both sides
y+z=144
each term is the common difference away from the next term
z=y+d
y+y+d=144
and also
36+d=y so
36+d+36+d+d=144
3d+72=144
minus 72 both sides
3d=72
divide both sides by 3
d=24
common difference is 24
36+24=60
60+24=84
36+60+84=180
correct
largest angle is 84 degrees
Answer:
The answer is 0.875.
Step-by-step explanation:
7 / 8 = 0.875.
0.875 x 8 = 7. (To check answer)
The area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3
<h3>How to determine the area bounded by the curve, x-axis and y-axis?</h3>
The curve is given as:
y = √(x + 3)
The area bounded by the curve, x-axis and y-axis is when x = 0 and y = 0
When y = 0, we have:
0 = √(x + 3)
This gives
x = -3
So, we set up the following integral
A = ∫ f(x) d(x) (Interval a to b)
This gives
A = ∫ √(x + 3) d(x) (Interval -3 to 0)
When the above is integrated, we have:
A = 1/3 * [2(x + 3)^(3/2)] (Interval -3 to 0)
Expand
A = 1/3 * [2(0 + 3)^3/2 - 2(-3 + 3)^3/2]
This gives
A = 1/3 * 2(3)^3/2
Apply the law of indices
A = 2(3)^1/2
Rewrite as:
A = 2√3 or 3.46
Hence, the area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3
Read more about areas at:
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Answer:
5
Step-by-step explanation:
This is because she cannot buy 5.91 pairs of shoes and she doesn't have enough money to buy exactly 6, so you must round it down to 5.
Answer:
Hi there! The answer to this question is (x−79/16)^2+(y−2)^2=(4225/256)