Answer:
B. 60 ft²
Step-by-step explanation:
The overall area of the parallelogram is the product of its base length (15 ft) and height (8 ft), so is ...
overall area = (15 ft)(8 ft) = 120 ft²
The area of the quadrilateral in the middle of the parallelogram is the area of two triangles, each with a base equal to 15 ft (the horizontal line in the diagram), and heights that total 8 ft. If we let x represent the height of one of those triangles, then the other has a height of (8-x) and the sum of their areas is ...
quadrilateral area = (1/2)(15 ft)(x) +(1/2)(15 ft)(8 ft -x)
= (1/2)(15 ft)(x + 8 ft - x) = (1/2)(15 ft)(8 ft) = 60 ft²
Then the shaded area is the difference between the parallelogram area and the quadrilateral area:
shaded area = parallelogram area - quadrilateral area
= (120 ft²) - (60 ft²)
= 60 ft²
The area of the shaded region is 60 ft².
Answer:
88 questions
Step-by-step explanation:
86/0.98 = 87.755
pls mark brainliest :D
Answer:
B. Set the alpha level at 0.05.
Step-by-step explanation:
Hypothesis testing is a procedure whereby a researcher determines if the null hypothesis is rejected or accepted, depending on the significant level or the alpha level. When a type I error is made, the null hypothesis is rejected even though it is correct. To solve this problem, the significant or alpha level is set to 5% or 0.05.
Answer:
53 degrees
Step-by-step explanation:
Angle N = angle E
because angle made by joining end points of same chord on circumference are always equal.
so angle E = 37
Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)
Now in Triangle DEC. Sum if all the angles of triangle us 180
Angle D + angle E + ? = 180
37 + 90 + ? = 180
127 + ? = 180
? = 180 - 127
? = 53 degrees
<span>6554
Assuming that the growth the function will be of the form
f(n) = P*R^n
where
P = Initial population
R = Growth rate per period
n = number of periods
In this problem, the only period or interval I see are days. So we'll use n to represent the number of days since the start. The initial population is 1000, and the ratio would be 1600/1000 = 1.6. So the formula becomes
f(n) = 1000*1.6^n
So let's evaluate that function using n=4.
f(n) = 1000*1.6^n
f(4) = 1000*1.6^4
f(4) = 1000*6.5536
f(4) = 6553.6
Since we can't have a fractional mosquito, round to the nearest integer, giving 6554.</span>
