If the shared hypotenuse between the two right triangles is 1.3 centimeters longer than the longest leg length, what is the length of the hypotenuse if the longest leg length is 5.5 centimeters?
write down the equation for calculating the volume of a sphere. this is the equation: v = ⁴⁄₃πr³.
find the radius. if you're given the radius, then you can move on to the next step.
cube the radius.
multiply the cubed radius by 4/3.
multiply the equation by π.
a) degree: 4
descending order: 11x^4 - 4x^2 - 12
b) degree: 5
descending order: 2x^5 - 3x^4 + 3x^3 + 7x + 14
let's start with a. in descending order, the exponents of the polynomial go down with each term. the term with the largest exponent is 11x^4, so this goes first. next is -4x^2, so this goes 2nd. last is -12. so, we have 11x^4 - 4x^2 - 12. to find the degree, it's just the largest exponent, so it is 4.
now for b. the largest exponent is 5, so the degree is 5, and that term is 2x^5, so this will go first. keep on looking for the next highest exponent untill you get down to 14, so the answer is 2x^5 - 3x^4 + 3x^3 + 7x + 14.
a. 6: 17
b. 17: 6
c. a is 35.29% of b (rounded to 2 decimal place percent)
given a = 120 & b = 340
the ratio of a to b is finding the fraction and reducing it to lowest terms and then writing the answer in "a : b" format. so,
ratio of a to b is 6: 17
the ratio of b to a is just the opposite of what we did in part (a). we divide b by a and reduce the fraction to lowest terms and give the final answer in the form b : a. so,
ratio of b to a is 17: 6
to find the percentage a is of b, we need to divide a by b and then multiply that answer by 100. hence,
so a is 35.29% of b (rounded to 2 decimal place percent)