Answer: The answer is 80%.
Step-by-step explanation: Let us define the following events.
B = the event that the shirt is blue,
G = the event that the shirt is green
and
S = the event that the shirt is striped.
So, n(B) = 8, n(G) = 7, n(B and S) = 5, n(G and S) = 4.
n(S) = 5 + 4 = 9.
We have

Therefore, the required probability is

Thus, the answer is 80%.
Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Answer:
47,000
Step-by-step explanation:
6,750 rounds up to 7,000
Answer:
The correct option is C ) 109.5°
Therefore,

Step-by-step explanation:
Given:
In Triangle DEF
d = 10
e = 18
f = 12
To Find
angle E = ?
Solution:
In Triangle DEF , Cosine Rule says

Substituting the values we get


Therefore,

............As it is in Second Quadrant
Therefore,

Answer:
1. 49a^6b^10
2. −81a^8b^2c^2
Step-by-step explanation:
N/A