Answer:
Option 3.
Step-by-step explanation:
It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.
The top interior angle of the triangle is 40 degrees.
From the given figure it is clear that
(Supplementary angle)
(Supplementary angle)
According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.
Combine like terms.
Divide both sides by -4.
The value of h is 55.
Therefore, the correct option is 3.
Answer:
Length: 80 feet
Width: 36 feet
Step-by-step explanation:
232/2 = 116
116-36 = 80
(i.e. 80+80+36+36=232)
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108
Answer:
x = 5, x = 15; The zeros represent the number of photos printed to produce a maximum profit.
Step-by-step explanation:
F(x) = −x²+ 20x − 75
Let's f(x)= 0
0= -x²+20x-75
0= x²-20x+75
0=x²-5x-15x+75
0= x(x-5)-15(x-5)
0= (x-5)(x-15)
The zeros are
X= 5 or x = 15
And the xeros represent a number of photos printed to produce maximum profit
