ANSWER
The correct answer is C
EXPLANATION
The given triangle is a right triangle. Since two angles are equal, it is a right isosceles triangle.
This implies that, x=8 units.
Using Pythagoras Theorem,
This implies that:
Take positive square root,
The correct answer is C
Answer:
the rate of change is 5
Step-by-step explanation:
$90 / 18 cars = $5 per car
$45 / 9 cars = $5 per car
$60 / 12 cars = $5 per car
That means the rate of change is 5 (5/1)
Step-by-step explanation:
Given,
Length of railroad car = 6 inches
The length of railroad track = 5 feet
We will convert this length into inches.
1 feet = 12 inches
5 feet = 12*5 = 60 inches
Let,
x be the number of cars.
Number of cars * Length of each car = Length of track
Dividing both sides by 6
10 cars can fit on railroad track.
Answer:
Option D
- 1916 inches
Step-by-step explanation:
To easily solve this problem, we apply a rule of three
-916 inch ---------------------------------- 3 hours
x inch ---------------------------------- 8 hour
x = 916 inc * (8 hours / 3 hours)
x = 2442.66 inch
The nearest number for this value is option D
(Lets remember we are talking about average values)
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
