The area of the triangle PQR is 17.6 square units.
Explanation:
Given that the sides of the triangle are PQ = 12 and PR = 3 and 
We need to determine the area of the triangle PQR
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
Substituting the values, we get,
Simplifying, we have,
Multiplying the terms, we have,
Dividing, we get,
Rounding off to the nearest tenth, we have,
Thus, the area of the triangle PQR is 17.6 square units.
We will see that the probability of picking two orange marbles without replacement is 0.23
<h3>
How to get the probability?</h3>
If we assume that all the marbles have the same probability of being randomly picked, then the probability of getting an orange marble is given by the quotient between the number of orange marbles and the total number of marbles, this gives:
P = 6/12 = 1/2
And then we need to get another orange marble, without replacing the one we picked before, this time there are 5 orange marbles and 11 in total, so the probability is:
Q = 5/11
Finally, the joint probability (of these two events happening) is the product of the probabilities, so we get:
P*Q = (1/2)*(5/11) = 0.23
If you want to learn more about probability, you can read:
brainly.com/question/251701
Answer:
b) -18(2x -3y + 5)
d) 18(-2x + 3y - 5)
e) -2(18x - 27y + 45)
Step-by-step explanation:
a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal
b) -18(2x - 3y + 5) = -36x + 54y - 90 equal
c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal
d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal
e) -2(18x - 27y + 45) = -36x + 54y - 90 equal
f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal
Answer:
A. True
B. False
C. False
D. True
Step-by-step explanation:
The number of students that are on the track team are 18.
The number of students that are on the baseball team are 15.
<h3>What are the linear equations that represent the question?</h3>
a + b = 33 equation 1
a - b = 3 equation 2
Where:
- a = number of students that are on the track team
- b = number of students that are on the baseball team
<h3>How many
students that are on the
baseball team?</h3>
Subtract equation 2 from equation 1
2b = 30
Divide both sides by 2
b = 30/2 = 15
<h3>How many
students that are on the track
team?</h3>
Subtract 15 from 33: 33 - 15 = 18
To learn more about simultaneous equations, please check: brainly.com/question/25875552
#SPJ1
