Answer:
First, we can make a proportion to find y
12/3=y/5
Cross multiply
3*y=12*5
3y=60
Divide both sides by 3
y=20
Next, we can use Pythagorean theorem to find x
a^2+b^2=c^2
a and b are the legs, and c is the hypotenuse
We know a is 15(12+3), b is x, and c is 25(20+5)
15^2+x^2=25^2
225+x^2=625
Subtract 225 from both sides
x^2=400
Take the square root of both sides
x=20
Answer:
i need the table
Step-by-step explanation:
But usually it has something to do with an exponent
Answer:
The legs of right triangle are of 17 units
Step-by-step explanation:
The two points are as follows -
Point A ( -3, 2)
Point B (12, 10)
The distance between the two points is as follows -
![\sqrt{(12-(-3))^2 + (10-2)^2} \\\sqrt{225 + 64} \\17](https://tex.z-dn.net/?f=%5Csqrt%7B%2812-%28-3%29%29%5E2%20%2B%20%2810-2%29%5E2%7D%20%5C%5C%5Csqrt%7B225%20%2B%2064%7D%20%5C%5C17)
The legs of right triangle are of 17 units
Answer: $2.90/cup
Step-by-step explanation:
1 pint = 2 cups
2 cups = $5.80
--> $5.80/2 = $2.90/cup
Let
![u=\sin x](https://tex.z-dn.net/?f=u%3D%5Csin%20x)
, then
![\mathrm du=\cos x\,\mathrm dx](https://tex.z-dn.net/?f=%5Cmathrm%20du%3D%5Ccos%20x%5C%2C%5Cmathrm%20dx)
. Now
![\displaystyle\int\frac{\cos x}{\sqrt{\sin x}}\,\mathrm dx=\int\frac{\mathrm du}{\sqrt u}=\int u^{-1/2}\,\mathrm du](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cfrac%7B%5Ccos%20x%7D%7B%5Csqrt%7B%5Csin%20x%7D%7D%5C%2C%5Cmathrm%20dx%3D%5Cint%5Cfrac%7B%5Cmathrm%20du%7D%7B%5Csqrt%20u%7D%3D%5Cint%20u%5E%7B-1%2F2%7D%5C%2C%5Cmathrm%20du)
The power rule for integration gives