Answer:
The value of BK is 3m and the value of CK is 2.4m.
Step-by-step explanation:
Given information: ABCD trapezoid
, BC=1.2m, AD=1.8m
, AB=1.5m, CD=1.2m
, AB∩CD=K.
Using the given information draw a figure.
Two sides of a trapezoid are parallel.
Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

(Corresponding angles)
(Corresponding angles)
By AA rule of similarity

Corresponding sides of similar triangles are proportional.






The length of BK is 3 m.




The length of CK is 2.4 m.
17 $ because I added and then times everything
He will need 17 inches of ribbon.
The diagonal splits the square into two right triangles. We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):
12² + 12² = x²
144 + 144 = x²
288 = x²
Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x
Answer:

Step-by-step explanation:
<u>Composite Function</u>
Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

For practical purposes, it can be found by substituting g into h.
The functions g and h are given as:


Substituting g into h:

Operating:


Complete Question:
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 1 2, 201 2). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
Answer:
Null hypothesis, H₀ : μ = 24.57
Alternative hypothesis,
: μ ≠ 24.57
Step-by-step explanation:
The mean hourly wage for the goods producing industry = $24.57
Since we want to see if the mean of hourly wage for the manufacturing industry is equal to $24.57( The mean f hourly wage for the good producing industry)
Therefore the, null hypothesis will be that there is no significant difference between the means of the hourly wages of both the goods producing and the manufacturing industries, while the alternative hypothesis will be that the means of their hourly wages are significantly different
Null hypothesis, H₀ : μ = 24.57
Alternative hypothesis,
: μ ≠ 24.57