Answer:
b = 20 cm.
Step-by-step explanation:
<u>Define and explain:</u>
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
<u>Solve:</u>
<u>Conclude:</u>
Therefore, the length of the unknown side is 20 centimeters.
Answer:
350 adult tickets were sold.
Step-by-step explanation:
Let's set up some values:
x = adult tickets
x + 50 = student tickets, since there were 50 more student tickets than adult tickets.
Now, let's set up our equation. If these two values add up to 750 tickets, then we can conclude the following:
(x) + (x + 50) = 750
2x + 50 = 750
2x = 700
x = 350 adult tickets. This means there were 400 student tickets sold.
Answer:
Choice A: 
. for all real numbers.
Step-by-step explanation:
We are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation, which are points 
.
Looking at the other choices we see that choice B gives only 3 points, and regardless of whether they lie on the graph of y or not, this choice cannot be correct because 3 points are not all solutions.
The same goes for choice D.
And choice C is just the whole of x-y plane, therefore this cannot be the answer because not every point on the x-y plane is a solution to y = 5/2x + 3/2
Correct option C) 0.98%
<u>Step-by-step explanation:</u>
We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:
Firstly , a black ace is drawn , so probability :
⇒ 
Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):
⇒ 
So , Probability of occurring both events is :
⇒ 
⇒ 
⇒ 
Percentage = 
%
Therefore , Correct option C) 0.98%
0.03 compare to 0.003
While comparing decimals we write the decimals one below the other according to the place value of each digits in place value chart
ones -- point -- Tenths -- Hundredths -- Thousandths
0 . 0 3
0 . 0 0 3
Now we compare each digit left to right. We have 3 in hundredths and 0 in hundredths place. 3 is greater
So 0.03 is greater than 0.003
0.03 > 0.003
