Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h
23. A = (1/2)*b*h
.. A = (1/2)*x*7 . . . . substitute the given values
.. A = 3.5x . . . . . . . simplified
24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values
.. 2*84.5/13 = h = 13 . . . .solve for h
The height of the triangle is 13 cm.
You have to be very careful how you set this up. For every girl (who counts as 1) there are 3 boys (who count as 3). The total number in the proportion is 3 + 1 =4. You are given a total, but that is both boys and girls. That's why you need the 4.
3/4 = x / 236 Cross multiply
4x = 3 * 236
4x = 708 Divide by 4
x = 708/4
x = 177
There are 177 boys at the school and 236 - 177 = 59 girls.
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:


So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:


Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
45-21 over 5-2 which would be 4 because it shows it