Answer: C. 10
Explanation:
Take half right triangle from the isosceles triangle:
We get side lengths:
12/2 = 6, 8, and x
And use Pythagorean’s theorem to find x:
6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
Answer:
The appropriate hypotheses for performing a significance test is:


Step-by-step explanation:
Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.
At the null hypothesis, we test if the mean score this year is the same as last year, that is:

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

The appropriate hypotheses for performing a significance test is:


Answer:
415people
Step-by-step explanation:
20%of250=100people
15%of the 100people=15people
So 100 went out remaining(500-100)400
Then 15 returned=400+15
<u>4</u><u>1</u><u>5</u>
Answer:
60/3=20
20/21
Step-by-step explanation:
Answer:
The surface area of the triangular prism is

Step-by-step explanation:
Step 1: Finding the two area of two triangles
Area of the triangle = 
Area of the triangle = 
Area of the triangle = 26.117
Area of 2 triangles =
Step 2: Finding the area of the side rectangles
Area of the rectangle = 
Area of the rectangle 1 =
= 23.56 
Area of the rectangle 2 =
= 32.3 
Area of the rectangle 3 =
= 37.24 
Step 3: surface area of the triangular prism.
Surface area of the triangular prism = 52.234 + 23.56 + 32.3 + 37.24
Surface area of the triangular prism = 145.334 