Answer:
−5.6<−4.2, and −5.6 is located to the left of −4.2
Step-by-step explanation:
Given the statements :
−5.6<−4.2, and −5.6 is located to the left of −4.2 (True) because - 5.6 located to the left of the number line and numbers are arranged from right to left in decreasing order.
−5.6<−4.2, and −5.6 is located to the right of −4.2. (Not true) only the first assertion is correct, - 5.6 < - 4.2, but 5.6 isn't located to the right of - 4.2
−5.6>−4.2, and −5.6 is located to the left of −4.2 (Not true) ; Though 5.6 is located to the left of 4 2, 5.6 is < 4.2
−5.6>−4.2, and −5.6 is located to the right of −4.2. (Not true) ; - 5.6 is < -4.2 and also located to the left of - 4.2
Answer:
Therefore, the volume of the cone is V=4π.
Step-by-step explanation:
From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.
We have the formula:
We know that r=2 and h=3, and we get:
![V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi](https://tex.z-dn.net/?f=V%3D%5Cint_0%5E3%5Cpi%20%5Ccdot%20%5Cleft%28%5Cfrac%7B2%7D%7B3%7Dx%5Cright%29%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D%5Cint_0%5E3%20%5Cpi%20%5Cfrac%7B4%7D%7B9%7Dx%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D%20%5Cfrac%7B4%5Cpi%7D%7B9%7D%20%5Cint_0%5E3%20x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D%20%5Cfrac%7B4%5Cpi%7D%7B9%7D%20%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E3%5C%2C%20dx%5C%5C%5C%5CV%3D%20%5Cfrac%7B4%5Cpi%7D%7B9%7D%5Ccdot%209%5C%5C%5C%5CV%3D4%5Cpi)
Therefore, the volume of the cone is V=4π.
Answer:
Step-by-step explanation:
Hyp = √(3² + √34²) = √43
cosR = adj/hyp = 3/√43
Answer:
y=-x+5
Step-by-step explanation:
first, let's find the slope of the line (m), using the equation (y2-y1)/(x2-x1)
here are the given points: (4,1) and (8,-3)
label the points:
x1=4
y1=1
x2=8
y2=-3
now substitute into the equation
m=(-3-1)/(8-4)
m=(-4)/4
m=-1
the slope of the line is -1.
Now, use slope-point form, which is y-y1=m(x-x1)
substitute the numbers into the equation
y-1=-1(x-4)
do distributive prop
y-1=-x+4
add 1 to both sides
y=-x+5
the equation of the line is y=-x+5
hope this helps :)
