Answer:
(D) P(AUB) = 0.65
Step-by-step explanation:
Since A and B are independent:
P(A ^ B)
= P(A) × P(B)
= 0.3 × 0.5 = 0.15
P(AUB) = P(A) + P(B) - P(A^B)
= 0.3 + 0.5 - 0.15
= 0.65
68
Explanation:
So to get this answer you need to split it into smaller shapes. We already have the squares so we know that 3*3 is 9 and then we double that because there are two of them.
So, so far we have 18+x
We need to take the middle shape and split it into two trapezoids.
The area for trapezoids is T=(a+b/2)h
So T= (3+7/2)5
T= 5*5=25
And then we would double that because there are two of them so 50 and then fill it in for x
18+50= 68 is the area of the figure.
Answer:
Step-by-step explanation:
<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired
Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
(Given right angles)
(Given)
(Common side)
Now,
(By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.
Therefore, the measure of CP is 8 units.
