Answer:
The triangle's perimeter is 61.77 inches.
Step-by-step explanation:
Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:
Isosceles triangle = 2 equal sides
To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.
(9/2) ^ 2 + 26 ^ 2 = X ^ 2
4.5 ^ 2 + 26 ^ 2 = X ^ 2
20.25 + 676 = X ^ 2
√ (20.25 + 676) = X
√696.25 = X
26.38 = X
26.3865 x 2 + 9 = X
52.77 + 9 = X
61.77 = X
Therefore, the triangle's perimeter is 61.77 inches.
2. y = -4x + 1 so slope m = -4
passing thru (3,-1)
y = mx + b
-1 = -4(3) + b
-1 = -12 + b
11 = b or b = 11
answer:
equation: y = -4x + 11
4.
answer is a. -2, 1/2 opposite reciprocal
b. 1/4 , 4 ..... only reciprocal
c. 5, -5..........only opposite
Answer: F. Statistic, because the data set of salaries of 50 employees is a sample.
Step-by-step explanation:
A parameter gives measure of a characteristic for the entire population where as a statistic gives measure of a characteristic for the subset of population (sample).
Given : The average annual salary of 50 of a company's 800 employees is $54,000.
It means the sample size = 50 and the sample mean salary= $54,000.
i.e $54,000 is giving the measure for mean salary for the sampled 50 employees.
It means $54,000 is a statistic .
Hence, the correct answer is option (F).
Answer:
20 yd^2
Step-by-step explanation:
Your work is partially correct.
Assuming that the sides marked 8 yds and 2 yds are parallel, then the area of the trapezoid is
A = ( 8 yds + 2 yds)
------------------------ * 4 = 20 yd^2
2
