Answer:
D. 8.053 x 10^4
Step-by-step explanation:
Given :
7.17 x 10^4 and 8.17 10^5
The number in between the two Given numbers should be greater Than 7.17*10^4 but less than 8.17*10^5
A. 6.92 x 10^4 - this is less than 7.17 * 10^4 ; hence doesn't fit in
B. 7.2 x10^9 - this is greater than both values, hence, doesn't fit in
C. 7.57 x 10^3 - this is less than 7.17*10^4 ; hence does not fit in
D. 8.053 x 10^4 - this fits in as it is greater than 7.17*10^4 and less than 8.17*10^5 ; hence, it is the correct answer.
A picture can help.
The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be
... √(10² -6²) = √64 = 8
Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.
The sum of squares of interest is
... 8² + 2×97 = 258
Answer:
B
Step-by-step explanation:
A. 8 * x = 80
8 * 5 = 40. 40 is not 80, so it doesn't work.
B. x + 4 = 9
5 + 4 = 9. This works.
C. 10 ÷ x = 5
10 ÷ 5 = 2. 5 is not 2, so it doesn't work.
D. x - 6 = 1
5 - 6 = -1. 1 is not -1, so it doesn't work.
Answer:
c= (f-d)/ab
Step-by-step explanation:
- abc+d = f
- Subtract f from both sides so abc= f-d
- Divide by ab from both sides so c = (f-d)/ab