Answer:
x are 42 and 138degees
Step-by-step explanation:
Given the expression sin x = 0.6691
sin x = 0.6691
Take the sin inverse of both sides
sin⁻¹(sin x) = sin⁻¹(0.6691 )
x = sin⁻¹(0.6691 )
x = 41.99
x = 42 degrees (to the nearest degree)
Since sin theta is positive in the second quadrant;
x = 180 -theta
x = 180 - 42
x = 138degrees
Hence the value of x are 42 and 138degees
Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
D=an-am/n-m
d=a64-a3/64-3
d=3725-126/61=59
a3=a1+2d
126=a1+118
a1=8
Answer:
144
Step-by-step explanation:
120 x 1.20 = 144
.20 is 20% and adding the 1 adds it to the original value
Answer:
The correct option is b) 1.70
Step-by-step explanation:
Consider the provided information.
The weekly sulfur dioxide emissions follow a normal distribution with a mean of 1000 ppm (parts per million) and a standard deviation of 25.
Thus, μ=1000 and σ = 25
The CEO wants to know if the mean level of emissions is different from 1000.
Therefore the null and alternative hypothesis is:
and 
The sample size is n = 50 and 
ppm.
Now calculate the test statistic by using the formula: 
Substitute the respective values in the above formula.
Hence, the correct option is b) 1.70
