Need the line to answer the question
Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
_____
The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer:
x<2 is your answer
Step-by-step explanation:
-2x+4>-4x+8
subtract each term by 8
-2x+4-8>-4x+8-8
add both side by 2x
-2x+2x-4>-4x+2x
-4>-2x
dividing both term by -2
-2x/-2<-4/-2
x<2
we are adding 4 each time
10+4 = -6
-6 + 4 = -2
-2+4 = 2
2+4 =6
6+4 = 10
10+4 = 14
14+ 4=18
The 7th term is 18
Answer:
0.1994 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 166 pounds
Standard Deviation, σ = 5.3 pounds
Sample size, n = 20
We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(sample of 20 boxers is more than 167 pounds)
Calculation the value from standard normal z table, we have,
0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds
