Answer: 25 in²
Step-by-step explanation: To find the area of a triangle, start with the formula for the area of a triangle which is shown below.

In this problem, we're given that the base is 10 inches
and the height is 5 inches.
Now, plugging into the formula, we have
.
Now, it doesn't matter which order we multiply.
So we can begin by multiplying (1/2) (10 in.) to get 5 inches.
Now, (5 in.) (5 in.) is 25 in².
So the area of the triangle is 25 in².
Answer:
Probability = 0.12676992
Step-by-step explanation:
The probability of selecting committee of seven composed of all Democrats.
Total number = 45+55= 100
Number of Democrats = 55
Number of committee = 7
Probability= (55C7)/(100/7)
Where C represent combination sign
Probability = (202927725/1.60075608*10^10)
Probability = 0.12676992
Answer:
dimensions: 4x5x3
volume: 60 cube inches
Step-by-step explanation:
assuming each cube is a one inch cube:
the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3
the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.
Answer:

Step-by-step explanation:
Let
x------> the number of pink roses bushes
y----> the number of white rose bushes
we know that

-----> equation A

substitute the value of x in the equation A

Complete question :
At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).
Answer:
9x + 12y < 120
Step-by-step explanation:
Given that:
Time taken for oil change = 9 minutes
Time taken for tire change = 12 minutes
x = number of oil changes ; y = number of tire changes
Total hours = 1 hour = 60 minutes
Number of oil and Tyre changes possible in less than an hour
(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes
9x + 12y < 120