Answer:X=2, and -36
Step-by-step explanation:
Ehh
65/100 ×160 =104 is the answer
Question:
If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.
Answer:


Step-by-step explanation:
Given
cos(θ) =-8/17
Required
sin(θ) = __
tan(θ) =__
The first step is to determine the length of the third side
Given that

Where Adj and Hyp represent Adjacent and Hypotenuse

By comparison

Using Pythagoras

By Substitution


Subtract 64 from both sides


Take square roots of both sides




The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

From trigonometry


Also from trigonometry






Answer:
x²+x-30
x=5
Step-by-step explanation:
The equation is
(x+3+x-1)/2 × x=30
x²+x-30 (it's the quadratic equation)
x²+6x-5x-30=0
x(x+6)-5(x+6)=0
(x+6)(x-5)=0
x=-6
x=5
It's impossible for Length to be negative
So x=5
Answer: a) 0.5636 b) 0.7881
Step-by-step explanation:
We assume that women’s heights are normally distributed .
Let x be the random variable that represents the shoe sizes.
Also, The population mean =
; Standard deviation: 
a) Formula for z:-

Put x= 64, we get

Now, the probability that the male shoe sizes are greater than 8 :-

Hence, the probability that her height is less than 64 inches = 0.5636
b. Sample size : n= 25
Then , the formula for z :-

Put x= 64, we get

Then, the probability that they have a mean height less than 64 inches.:_

Hence, the probability that they have a mean height less than 64 inches. =0.7881