Answer:
AC = 
Step-by-step explanation:
Here we have to draw the figure.
When the rectangle is folded A to C. we get a right triangle.
Here we have to use the Pythagorean theorem to find the side lenght of B.
The sides length of B is AC.
By the Pythagorean theorem, the sum of the squares of the sides is equal to the square of the hypotenuse.
Therefore,
AC^2 = AB^2 + BC^2
Taking the square roots on both sides, we get
AC =
Look at the remaining trees and the number of oranges they produced.
41790 oranges were produced.
Each tree produced 210 oranges.
The number of remaining trees is 41790/210.
Originally, there we 5 more trees.
The original number of trees is 41790/210 + 5
The equation is
t = 41790/210 + 5
Now we evaluate the right side.
t = 199 + 5
t = 204
The original number of orange trees is 204,
Answer:
x=2
Step-by-step explanation:
AB/BD=BC/BE
2/1=x/1
2=1x
x=2
Answer:
7/20
Step-by-step explanation:
Seventh grade: Total = 3 + 7 = 10
Number of boys = 7 boys
Probability of a boy being picked = 7/10
Eighth grade: Total 5 + 5 = 10
Number of boys = 5
Probability 5/10 = 1/2
The probability of the correct outcome = 7/10 * 1/2 = 7 / 20
Answer: 7 / 20
