Answer:
a = 36 , b = 6
Step-by-step explanation:
expand the right side using FOIL and compare coefficients with like terms on left side.
(x - b)²
= x² - 2bx + b² , compare to x² - 12x + a , then
- 2b = - 12 ( divide both sides by - 2 )
b = 6
and a = b² = 6² = 36
Scientific notation is a number greater than 0 and less than 10 multiplied by 10 to a power. The expression will be equal to the number given.
91007500
We move the decimal place first so that the number is within our range:
9.1007500
Then we count how many places we moved the decimal. In this case we moved it to the left 7 times, so our exponent of 10 will be 7
Therefore in scientific notation it is 9.1007500 x 10^7
Some teachers prefer to have scientific notation rounded off to the nearest 10th place, so that would be:
9.1 x 10^7
First make fractions.
2 5/7 = 19/7
3 4/5 = 19/5
19/7*x=19/5
Multiply 7 to other side (7*19/5=133/5)
Multiply 5 to other side (5*19=95)
95x=133
133 divided by 95 yields 1.4
The answer is 1.4
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:
Volume of sphere = 200 in³
Step-by-step explanation:
Given:
Volume of cylinder = 150 in³
Height = Radius
Radius of cylinder = Radius of sphere
Find:
Volume of sphere = ?
Computation:


Volume of sphere = 200 in³