Answer:
x = 27
Step-by-step explanation:
Both angles together form 180 degree.
Set your formula up as
180 = (5x+2) + (x + 16)
180 = 5x + 2 + x + 16
180 = 6x + 18
180 - 18 = 6x
162 = 6x
162/6 = x
27 = x
Answer:
The correct answer is third option
1/√3
Step-by-step explanation:
From the figure we can see a right angled triangle ABC.
Right angled at C.
AB = 10
AC = 5
BC = 5√3
<u>Points to remember</u>
Tan θ = Opposite side/Adjacent side
<u>To find the value of tan(B)</u>
Tan B = Opposite side/Adjacent side
= AC/BC
= 5/5√3
= 1/√3
Therefore the value of tan(B) = 1/√3
The two triangles with the given perimeter is attached .
Perimeter is the sum of all sides.
For the first triangle , sies are 2a,2a and b.
So the perimeter is
For the second triangle, sides are a,a, and 2a+b. Therefore perimeter is
So for both triangles, perimeter is
Sample size=n=250
sample proportion=p=0.4
95% confidence interval so significance level α=1-0.95=0.05
So, α/2=0.025
z_( α/2)=1.960 (value taken from statistic z-table)
use formula;
p(+/-)z_(α/2)square root(p(1-p)/n)
(0.4-1.960 sq.root(0.4(1-0.4)/250), 0.4+1.960 sq.root(0.4(1-0.4)/250))
(-0.2073,0.4607) (estimation of population proportion)
To solve this problem you must apply the proccedure shown below:
You have that the radius of the cylinder is 2.75 inches and the height is 5.21 inches. Therefore, you only need to substitute these values into the formula for calculate the volume of a cylinder:
Therefore, as you can see, the answer is: The volume of the cylinder is 124 in³.
