Answer:
A. 6
Step-by-step explanation:
Using the Pythagorean theorem which states that: <u>Hypotenus² = Opposite² + Adjacent²</u>
Where: hypotenus = 10, opposite = x, adjacent = 8
So:
![{10}^{2} = {x}^{2} + {8}^{2}](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7B8%7D%5E%7B2%7D%20)
Solving for x
![100 = {x}^{2} + 64](https://tex.z-dn.net/?f=100%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2064)
Collect like terms to make x the subject of formula
![100 - 64 = {x}^{2} →36 = {x}^{2}](https://tex.z-dn.net/?f=100%20-%2064%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%E2%86%9236%20%3D%20%20%7Bx%7D%5E%7B2%7D%20)
![36 = {x}^{2} ⟹ {x}^{2} = 36](https://tex.z-dn.net/?f=36%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%E2%9F%B9%20%7Bx%7D%5E%7B2%7D%20%20%3D%2036)
square root both sides of the equation to find the value of x
![\sqrt{ {x}^{2} } = \sqrt{36} →x = 6](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B36%7D%20%E2%86%92x%20%3D%206)
Therefore: Option A is correct
Answer:
The day's high temperature written as degrees Celsius is 25 degrees' Celsius.
Step-by-step explanation:
The day's high temperature in St. Louis ,Missouri was recorded as 77 degrees F.
We are supposed to find the day's high temperature written as degrees Celsius.
Formula : ![C=\frac{5}{9}(F-32)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7D%28F-32%29)
Substitute the value of F is 77 degrees
So,![C=\frac{5}{9}(77-32)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7D%2877-32%29)
![C=\frac{5}{9}(45)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7D%2845%29)
C=25
Thus, The day's high temperature written as degrees Celsius is 25 degrees' Celsius.
Answer:
Step-by-step explanation:
If the new fraction is 8/12 I will show how to find it.
Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.
Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12. Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.
Now we just use algebra.
x/(x+4) = 8/12
12x = 8(x+4)
12x = 8x + 32
4x = 32
x = 8
So the original fraction (x-4)/x = (8-4)/8 = 4/8
9. <span>1.25 = (1 x 1) + (2/10) + (5/100)
11. is ---C----</span>
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