Answer:
cos(53°)=StartFraction y Over 5 EndFraction
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that

Solve for x


step 2
Find the cosine of angle A
The cosine of angle A is equal to divide the adjacent side to angle A (AC) by the hypotenuse (AB)

substitute the value of x

so
cos(53°)=StartFraction y Over 5 EndFraction
Answer:
x = -.1715 ≈ - .172 or x = -5.83
Step-by-step explanation:
x² + 6x + 1 = 0
x² + 6x = -1
Complete the square Add to both sides (1/2 of the x-term, then square it.)
x² + 6x + 9 = -1 + 9
(x + 3)(x + 3) = 8
(x + 3)² = 8
= 
x + 3 = ± 
x = -3 ± 
x = -3 +
or x = -3 - 
x = -.1715 ≈ - .172 or x = -5.83
Answer:
99% Confidence interval: (1196,1973)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 20
Mean, μ = 1584
Standard Deviation, σ = 607
99% Confidence interval:
Putting the values, we get,

Thus, there is a 99% chance that it will break in approximately 1196 to 1972
Answer:
The largest possible value of n is 11.
(A) is correct option.
Step-by-step explanation:
Given that,
The number with at least two digits,the last number was removed. The resulting number was n smaller than the previous one.
We need to find the largest possible value of n
Using given data,
The smallest number of two digit is 10.
Now, we removed last digit then we get 1 which is equal to 10 divided 10.
So, n = 10
But the largest number of two digit is 99.
We removed last digit then we get 9 which is equal to 99 divided 11.
So, n = 11
Hence, The largest possible value of n is 11.
(A) is correct option.
Answer:
A
Step-by-step explanation:
No explaintion sorry.
Hope this helps!