Answer:
144 un^2
Step-by-step explanation:
Base: 4 × 11 = 44
Left-most face: 3 × 11 = 33
Top face: 5 × 11 = 55
Triangular faces: 3 × 4 = 12
Add: 44 + 33 + 55 + 12 = 144
Answer:
a. 0.7123
b. 0.1151
c. 0.0708
d. 0.6368
e. 0.7058
Step-by-step explanation:
- the area to the right of z* can be stated as P(z<z*), and corresponding probability of z* on z-table gives the result.
a. The area to the left of z = 0.56 = P(z<0.56) = 0.7123
b. The area to the right of z = 1.20 =P(z>1.20)= 1- P(z<1.20)= 1-0,8849=0.1151
c. The area to the left of z = −1.47 = P(z<-1.47)= 0.0708
d. The area to the right of z = −0.35 =P(z>-0.35) = 1-P(z<-0.35)=1-0,3632=0.6368
e. P(-1.39<z<0.80) = P(z<0.80) - P(z<-1.39) = 0.7881-0.0823 = 0.7058
Answer:
The correct prove will be:

Step-by-step explanation:

Multiply and Divide by 
= 
⇒ Let
= Ф and 7Ф = 
= sin2Ф sin3Ф sin5Ф ÷ 2cosФ
= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ
= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ
= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ ∵cos7Ф = 0
= sin6Ф ÷ 8cosФ
= sin(7Ф - Ф) ÷ 8cosФ
= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ ∵sin7Ф = 1
= cosФ ÷ 8cosФ
= 1/8
Hence, The correct prove will be:

Keywords: prove, sinФ, cosФ
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Answer:
16
Step-by-step explanation:
If P is a right angle the the value of 7x - 22 would be equal to 90°
7x - 22 = 90°
7x = 112°
x = 16