Answer: 37 units
Step-by-step explanation:
This also works as the height of the triangle.
This also works as the base of the triangle.
Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.
To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.
![s=\sqrt[]{A}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7BA%7D)
Let's work with Blue.
![s=\sqrt[]{144units^2} \\s=12units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B144units%5E2%7D%20%5C%5Cs%3D12units)
Now Pink.
![s=\sqrt[]{1225units^2}\\s=35units](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%5D%7B1225units%5E2%7D%5C%5Cs%3D35units)
So we have a triangle with a base of 35 units and a height of 12 units.
Now let's use the pythagoream's theorem to solve.
![c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2%5C%5Cc%3D%5Csqrt%5B%5D%7Ba%5E2%2Bb%5E2%7D%20%5C%5Cc%3D%5Csqrt%5B%5D%7B%2812units%29%5E2%2B%2835units%29%5E2%7D%5C%5Cc%3D%5Csqrt%5B%5D%7B144units%5E2%2B1225units%5E2%7D%5C%5C%20c%3D%5Csqrt%5B%5D%7B1369units%5E2%7D%5C%5C%20c%3D37units)
First multiply 17 by the percentage:
17 x .35= 5.95
Then subtract that answer from 17:
17 - 5.95= 11.05
35% of 17 is 11.05
Answer:
There are 30 students in the class
Step-by-step explanation:
we can write a ratio as:
8:10 as 24:x
Writing this as an equation gives:
8
10
=
24
x
We can now solve for
x
while keeping the equation balanced:
10
x
×
8
10
=
10
x
×
24
x
10
x
×
8
10
=
10
x
×
24
x
x
×
8
=
10
×
24
8
x
=
240
8
x
8
=
240
8
8
x
8
=
30
x = 30
A) a customer would pay $1.60 for 1 pound of apples. (To solve, plug in “1” for “p” and find c))
B) 8.5 pounds of apples would cost $13.60. (To solve, plug in 8.5 for p and find c)
C) If a customer pays $5.20, they will have purchased 3.25 pounds of apples. (To solve, plug in 5.2 for c and solve for p)
Have a great day!
1. If you knew that DE =
CB
Then you would know it is a mid-segment.
2. If you knew that CD = DA and BE = EA (point D and point E are midpoints of their respective segments)
