Find the unknown side of the right triangle below. Round to the nearest tenth

7.1

Step-by-step explanation:

5^2 + 5^2 = c^2

25 + 25 = c^2

50 = c^2

7.1 = c

B) 7.1 ft

Step-by-step explanation:

Two ways to go about this:

Method 1:

Recognize that since the side lengths are equal to each other, then the hypotenuse must be equal to 5√2 or about 7.1 feet since the triangle is a 45-45-90 triangle.

Method 2:

By using the Pythagorean Theorem, a^2+b^2=c^2, we have 5^2+5^2=c^2 --> 25+25=c^2 --> 50=c^2 --> 7.1≈c

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560