The length of the hypotenuse is 
.
Given that
Consider triangle DEF.
The legs have a length of 36 units each.
Triangle DEF is shown.
Angle DFE is 90 degrees and angles FDE and DEF are 45 degrees.
The lengths of sides DF and FE are 36 units.
We have to determine
What is the length of the hypotenuse of the triangle?
According to the question
The length of the hypotenuse is determined by using the Pythagoras theorem following all the steps given below.
The length of the hypotenuse is determined by;
Hence, the length of the hypotenuse is .
To know more about Pythagoras theorem click the link given below.
brainly.com/question/13963715
A scale factor is a number multiplied to a certain number to determine the magnification of the quantity if the data. This is used to relate the effect of changing one parameter to the dependent variable. For example, if the temperature is doubled, then the volume increases by a factor of 2. To know the second volume, just multiply the first volume by 2.
So, an expansion factor must be more than 1. The greater the number, the greater the extent of expansion. Otherwise, if the factor is expression in proper fractions, the number is then reduced. The negative sign actually does not matter because it might be a vector quantity that expresses only the direction of motion, for example. From the choices, there are two fractions: 2/3 or 3/2. But since 3/2 is an improper fraction and is equal to 1.5, it is expansion because the factor is more than 1. Therefore, the scale factor for reduction is 2/3.
Answer:
Step-by-step explanation:
Total marble = 8+5+4 = 19
n(Y) = 8, n(B) = 4 and n(R) = 5
Prob(R) = 5/17
Prob(B) = 4/16 {one marble is pulled out already}
Prob(R and B) = 5/17 × 4/16
= 5/17 × 1/4
= 5/68
Answer:
84is 30% of what number? 280
Step-by-step explanation:
Let's see. What is a right isosceles triangle?
A right isosceles triangle is a triangle with one right angle with at least two equal sides. In this case, it would have to be ONLY two because it has a right triangle.
What is the formula for the area of an isosceles triangle?
When y = the identical side lengths of the triangle,
and A = area,
(y × y) ÷ 2 = A
Note: Remember to compute from left to right! :)
We divide by two because when you multiple the two identical sides, you would get a square. However, we're trying to find the right isosceles triangle, and we divide by two.
Now, we can plug-in our values!
(y × y) ÷ 2 = 128
(y × y) = 64
Now, we square root both sides!
y = √64
y = 8
The length of the identical sides of the triangle is 8 meters.
