Answer: second option.
Step-by-step explanation:
By definition, the measure of any interior angle of an equilateral triangle is 60 degrees.
Based in this, we know that the measusre of the angle ∠SRT is:
![\angle SRT=\frac{60\°}{2}=30\°](https://tex.z-dn.net/?f=%5Cangle%20SRT%3D%5Cfrac%7B60%5C%C2%B0%7D%7B2%7D%3D30%5C%C2%B0)
The, we can find the value of "y":
![y+12=30\\y=30-12\\y=18](https://tex.z-dn.net/?f=y%2B12%3D30%5C%5Cy%3D30-12%5C%5Cy%3D18)
To find the value of "x", we must use this identity:
![cos\alpha=\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=cos%5Calpha%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
In this case:
![\alpha=30\°\\adjacent=x\\hypotenuse=RU=RS=4](https://tex.z-dn.net/?f=%5Calpha%3D30%5C%C2%B0%5C%5Cadjacent%3Dx%5C%5Chypotenuse%3DRU%3DRS%3D4)
Substituting values and solving for "x", we get:
![cos(30\°)=\frac{x}{4}\\\\4*cos(30\°)=x\\\\x=\sqrt{12}](https://tex.z-dn.net/?f=cos%2830%5C%C2%B0%29%3D%5Cfrac%7Bx%7D%7B4%7D%5C%5C%5C%5C4%2Acos%2830%5C%C2%B0%29%3Dx%5C%5C%5C%5Cx%3D%5Csqrt%7B12%7D)
The music store is 1/2 , so:
1.8 ÷ 2 or 1.8 x 1/2
= 0.9
The music store is 0.9 miles from school (from home)
Answer:
21x-15
Step-by-step explanation:
Use the distributive property:
3×7x=21x
3×5=15
Don't forget the - sign!!!
So,
3(7x - 5) = 21x - 15
52°C is equal to 125.6 degrees Fahrenheit.
Given that 52°C it should be converted into degrees of Fahrenheit.
The celcius is represented by the letter C
And the degree Fahrenheit is represented by F
The formulas for the conversion are given by ![C=\frac{5}{9} (F-32)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B5%7D%7B9%7D%20%28F-32%29)
and ![F=\frac{9}{5} C+32](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%7D%7B5%7D%20C%2B32)
Here the given is 52°C and we convert this to Fahrenheit by using the formula ![F=\frac{9}{5} C+32](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%7D%7B5%7D%20C%2B32)
We have a C value is 52
By substituting the C value in the formula we get the F value
![F=\frac{9}{5} C+32\\F=\frac{9}{5} (52+32)\\F=\frac{9}{5} (84)\\F=125.6](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%7D%7B5%7D%20C%2B32%5C%5CF%3D%5Cfrac%7B9%7D%7B5%7D%20%2852%2B32%29%5C%5CF%3D%5Cfrac%7B9%7D%7B5%7D%20%2884%29%5C%5CF%3D125.6)
Hence 52°C to degrees Fahrenheit is 125.6
Learn more about the conversion of C to Fahrenheit and to Fahrenheit to c here
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