Step-by-step explanation:
step 1. break up the shape into 2 triangles and one rectangle
step 2. A = area of triangle 1 (t1) + area of triangle 2 (t2) + area of the rectangle (r)
step 3. t1 = (1/2)bh where b is the base and h is the height. definition of the area of a triangle.
step 4. t1 = (1/2)(3)(2) = 3ft^2.
step 5. t2 = (1/2)(3)(3) = 4.5ft^2.
step 6. r = bh where b is the base and h is the height. definition of the area of a rectangle.
step 7. r = bh = (8)(4) = 32ft^2.
step 8. A = t1 + t2 + r = 3 + 4.5 + 32 = 39.5ft^2.
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➷ Use this formula:
Area = ((a + b)/2) x h
a is the top length
b is the bottom length
h is the vertical height
1) Substitute in the values:
((3.8 + 6.2)/2) x 7 = 35ft^2 <== this is the answer
2) Substitute in the values:
((10.3 + 15.1)/2) x 12.6 = 160.02in^2 <== this is the answer
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Answer:
Swing two arcs above and below the radius.
Step-by-step explanation:
We want to determine which statement is NOT a step used when constructing an inscribed hexagon?
1. Swing two arcs above and below the radius.
False
2. Draw a radius of the circle using a straightedge. True
3. Place the compass on the point where the circle and radius intersect. True
4. Swing an arc the length of the radius from the point on the circle. True
The first choice is the correct answer.
Answer:
it is 8.5 x 10^2 because when you times the 10 twice and then multiply it with 8.5 and the decimal moves
Answer:
Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.
Step-by-step explanation:
We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.
<u><em>Let </em></u>
<u><em> = sample mean comprehensive strength</em></u>
The z-score probability distribution for sample mean is given by;
Z = 
~ N(0,1)
where, 
= population mean comprehensive strength = 5500 psi
= standard deviation = 100 psi
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( > 4985 psi)
P( > 4985 psi) = P( > 
) = P(Z > -15.45) = P(Z < 15.45)
= <u>0.99999</u>
<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>
