Answer:
The probability is 0.000495
Step-by-step explanation:
As per the question:
Total no. of cards in a deck = 52
No. of spades in a deck = 13
Now, we have to select 5 cards in a deck such that they belong to the same suit, i.e., spades.
The no. of ways of selecting 5 cards from a deck = 
The no. of ways of selecting 5 cards from 13 spade cards = 
Now,
Probability that the selected 5 cards are all spades, P(E) = 
P(E) = 
P(E) = 
P(E) = 
P(E) = 
Answer:
The value of the angle x is 48°.
Step-by-step explanation:
Base of the triangle = 10
Height of the triangle = 11



The value of the angle x to the nearest degree is 48°.
Answer: The two triangles are similar because the angles are congruent.
Step-by-step explanation: If you add the given measures of the angles given, then subtract from 180, the remainder is equal to the measure of the angle given for the other triangle.
180 - (103 + 22) = 55
180 - (22 + 55) = 103
So both triangles have the same angle measurements.
The formula for the area of a circle is

We know the diameter, and the radius is half of the diameter. So the radius is 9. Now we plug that into the formula.

So the answer is B, 81 pi square feet
Answer:
y=20x + 40x
Step-by-step explanation: