To determine the length of the hypotenuse, we need a relation that would relate the other legs and the hypotenuse of the triangle. So, we would need to use the Pythagorean theorem which is an equation that relates the hypotenuse with the other legs of a right triangle. It is to be noted that this is only usable for right triangles only. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other legs.
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √100
c = 10 m
Therefore, the length of the hypotenuse with the other legs having a length of 6 and 8 would be 10 m.
Answer : 2
Step by step walkthrough:
Answer:
angle a = 104 degrees, angle b = angle c = 123 degrees
Step-by-step explanation:
angle c = 180 - 57
angle c = 123 degrees
angle a = 180 - 76
angle a = 104 degrees
angle b = 180 - 57
angle b = 123 degrees
The answer is 16. To solve this problem, it will look like this:
5 n + n = 24
So, 6(4) = 24. n=4
With this equation, you can see that 4 kids walk to school and 20 take the bus. Then you need to do 20 - 4 = 16. So 16 more kids take the bus than walk to school.
Another way to look at it...
We know there are 5 times as many bus kids as there are walkers.
walkers - n
bus kids - n+n+n+n+n
6n = 24 (the total number of students), which can translate to 6 x n = 24. We know that 6x4=24, so n=4. The number of kids that walk is 4. The number of kids on the bus is 20. So subtract the bus kids from the walking kids, and that leaves us the answer. 16 more students ride the bus than those who walk. I hope that helped.
Answer:
x = 20
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
1 3/4 14
------------ = --------
2 1/2 x
where x is the unknown number.
Converting the mixed numbers to improper fractions, we get:
7/4 14
------ = -----
5/2 x
Here there are two numerators and two denominators. Multiplying all four quantities by 4 will remove some of the fractions:
7 56
------ = -------
10 4x
Cross multiplying, we get:
28 x = 560, or x = 20
