Answer:
a/d b/a c/c d/c
Step-by-step explanation:
Answer:
m∠1 = 71°
Step-by-step explanation:
Angle 1 and 2 are complementary, meaning the measures of the two angles add up to 90°.
Set the measures of the two angles equal to 90°
![(4x+3)+(x+2)=90\\](https://tex.z-dn.net/?f=%284x%2B3%29%2B%28x%2B2%29%3D90%5C%5C)
Combine like terms
![5x+5=90](https://tex.z-dn.net/?f=5x%2B5%3D90)
Solve for x
![x=17](https://tex.z-dn.net/?f=x%3D17)
Plug the value of 'x' back into the given equation for the measure of angle 1
![m](https://tex.z-dn.net/?f=m%3C1%20%3D%204x%2B3%5C%5Cm%3C1%20%3D%204%2817%29%2B3%5C%5C)
m∠1 = 71°
X - rows of corn,
y - rows of lettuce:
x = 2.5 y
x + y = 455
------------------
2.5 y + y = 455
3.5 y = 455
y = 455 : 3.5
y = 130
x = 2.5 * 130 = 325
Answer: The farmer plans to plant 325 rows of corn and 130 rows of lettuce.
Answer:
3 or D
Step-by-step explaintain
Your problem statement tells you
f(x) passes through point (3, negative 1)
g(x) passes through point (3, negative 1)
This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.
Answer:
60 pi cubic units.
Step-by-step explanation:
Given that a region bounded by
![y = \sqrt{1+x} \\x = 0\\ x = 10](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%7B1%2Bx%7D%20%20%5C%5Cx%20%3D%200%5C%5C%20x%20%3D%2010)
is revolved around x axis.
To find the volume of generated solid
we know that when a curve is rotated form x=a to x=b around x axis
Volume V = ![\int_a^b \pi y^2 dx\\](https://tex.z-dn.net/?f=%5Cint_a%5Eb%20%5Cpi%20y%5E2%20dx%5C%5C)
Substitute a=0 , b =10 and ![y^2 =1+x](https://tex.z-dn.net/?f=y%5E2%20%3D1%2Bx)
we have
Volume = ![\int_0^{10} \pi (1+x) dx\\= \pi (x+\frac{x^2}{2)} \\=\pi(10+50)\\= 60\pi](https://tex.z-dn.net/?f=%5Cint_0%5E%7B10%7D%20%5Cpi%20%281%2Bx%29%20dx%5C%5C%3D%20%5Cpi%20%28x%2B%5Cfrac%7Bx%5E2%7D%7B2%29%7D%20%5C%5C%3D%5Cpi%2810%2B50%29%5C%5C%3D%2060%5Cpi)
Hence volume would be 60 pi cubic units.