Hel!! In DEF e = 100 inches f = 740 inches and angle D = 159°. Find the area of DEF to the nearest square inch

13260 square inches

Step-by-step explanation:

In DEF e = 100 inches f = 740 inches and angle D = 159°. Find the area of DEF to the nearest square inch

The formula to solve the above question is

1/2absinθ

a = 100 inches

b = 740 inches

θ = 159°

The area of the triangle =

1/2 × 100 × 740 × sin 159°

= 13259.61 square inches

Approximately = 13260 square inches

Therefore, the area of DEF = 13260 square inches

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

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