On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2
a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).
You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.
To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10
Now that you know the length of the dotted line is 10 units, you can now solve for x
(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361
We can pick a common denominator by multiplying.
3*7/5*7= 21/35
4*5/7*5= 20/35
We have our common denom is 15.
Our fractions: 21/35 and 20/35
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
Answer:
28
Step-by-step explanation:
The interior triangle has a right angle, and one of its corners is 62, so the other angle, which is vertical to x, is 180-(90+62)=28, so x=28.
Answer:
360 people in 3 hours. 120 people per hour.
Step-by-step explanation:
How many times do 20 minutes go into 3 hours?
Well, 60 min. ÷ 20 min. = 3
So, 3 x 3 = 9
So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.
So 3 hours would be 9 x 40 = 360
120 people per hour because 40 x 3 = 120
and 20 minutes (3) times equals 1 hour.
