The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.
a. The answer would be sqrt(18*32)=24
The question to the second question can be answered by using the Pythagorean theorem.
32^2+24^2=1600=40^2
b. The answer would be sqrt40^2=40
Answer:
Distribute -8 to n+7. In other words, multiply -8 to n and 7. You would get thea answer of -8n-56.
The ratio of the side measures are 6:7:9.
Let's assume length of three sides of the triangle is 6x, 7x and 9x.
Given,perimeter of a triangle is 110 inches.. Perimeter is the sum of all three sides of the triangle. So, we can set up an equation as follows:
6x+7x+9x= 110
22x =110
Dividing each sides by 22.
x=5.
Now we can plug in x=5 in all the expressions of sides.
So, 6x=6(5)=30,
7x=7(5)=35
9x=9(5)=45.
So, the sides of the triangle are 30 inches, 35 inches and 45 inches.
Answer:
C) The expected value is -$2000, so the detective should not take the job.
Step-by-step explanation:
The expected value is the sum of products of income and probability:
E = -10,000·1.00 + 80,000·0.10 = -10,000 +8,000 = -2,000
The detective can be expected to lose money on the job, so should not take it.
Answer: Cyclic quadrilateral
Step-by-step explanation:
Since angles OMB and ONC are right angles, it follows that AMO and ANO are also right angles. Thus, there is a pair of opposite angles that are supplementary, and thus AMON is a cyclic quadrilateral.
