9514 1404 393
Answer:
all 4 acute angles: 15 degrees
all 4 obtuse angles: 165 degrees
Step-by-step explanation:
The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.
All four acute angles are 15°; all four obtuse angles are 165°.
Answer: 63.5 F
Step-by-step explanation:
you are correct up there I took the test and it was correct
9514 1404 393
Answer:
(a) 22 is not the correct value of h
(b) 164 ft²
(c) $2009
Step-by-step explanation:
(a) Apparently, the formula ...
A = 1/2bh
was used. We recognize the base of the triangle is 16 feet, so apparently the formula was used with h=22.
22 is the side length, not the perpendicular distance from the base to the opposite vertex.
The computed value is not the area because 22 is not the height.
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(b) Given three side lengths, an appropriate formula is Heron's formula:
s = (a+b+c)/2 and A = √(s(s-a)(s-b)(s-c))
Here, we have ...
s = (22 +22 +16)/2 = 30 and A = √(30(8)(8)(14) = 16√105 ≈ 163.95
The area is about 164 square feet.
__
(c) At $12.25 per square foot, the cost of materials will be ...
(164 ft²)($12.25/ft²) = $2009
Answer:
mu = x√P(x) - £
£ = x√P(x) - xP(x)
Step-by-step explanation:
We have two equations there. Laying them simultaneously, we can derive the formula for "mu" and sigma. Let sigma be "£"
Equation 1
mu = £[xP(x)]
Equation 2
£^2 = x^2 P(x) - (mu)^2
Since we have sigma raised to power 2 (that is sigma square), we find sigma by square rooting the whole equation.
Hence sigma is equal to
[x√P(x) - mu] ...(3)
Since mu = xP(x), we substitute this into equation (3) to get
Sigma = x√P(x) - xP(x)
mu = x√P(x) - £
