Answer:
Step-by-step explanation:radius r = 4 m
height h = 13 m
slant height s = 13.6014705 m
volume V = 217.817091 m3
lateral surface area L = 170.921119 m2
base surface area B = 50.2654825 m2
total surface area A = 221.186602 m2
Answer:
1) Yes
2) No
Step-by-step explanation:
Substitute the x and y values of the given points into the equation and solve. If the result is a true statement, then they are solutions.
1) First, substitute the x and y values of (1,1.5) for the x and y in the given equation. Then, solve. (You can convert 1.5 from a decimal to a fraction, making it
.)
![1.5= \frac{1}{4} (1) + \frac{5}{4} \\\frac{3}{2} = \frac{1}{4} +\frac{5}{4} \\\frac{3}{2} = \frac{6}{4} \\\frac{3}{2} = \frac{3}{2}](https://tex.z-dn.net/?f=1.5%3D%20%5Cfrac%7B1%7D%7B4%7D%20%281%29%20%2B%20%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%5Cfrac%7B3%7D%7B2%7D%20%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2B%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%5Cfrac%7B3%7D%7B2%7D%20%3D%20%5Cfrac%7B6%7D%7B4%7D%20%5C%5C%5Cfrac%7B3%7D%7B2%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
The result is a true statement. Thus, (1, 1.5) is a solution to the equation.
2) Do the same with the point (12,4):
![4 = \frac{1}{4} (12) + \frac{5}{4} \\4 = 3 + \frac{5}{4} \\4 = \frac{12}{4} +\frac{5}{4} \\4 \neq \frac{17}{4}](https://tex.z-dn.net/?f=4%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2812%29%20%2B%20%5Cfrac%7B5%7D%7B4%7D%20%5C%5C4%20%3D%203%20%2B%20%5Cfrac%7B5%7D%7B4%7D%20%5C%5C4%20%3D%20%5Cfrac%7B12%7D%7B4%7D%20%2B%5Cfrac%7B5%7D%7B4%7D%20%5C%5C4%20%5Cneq%20%20%5Cfrac%7B17%7D%7B4%7D)
The result is a false statement. The two values are not equal. Thus, (12,4) is not a solution to the equation.
Answer:
ok no
Step-by-step explanation:
i am big brain
Answer:
x < 3
Step-by-step explanation:
-2(5-4x)<6x-4
In this inequality, we are to solve for x using the steps below;
-2(5-4x)<6x-4
Expand the parentheses on the left hand side of the expression;
-10 + 8x < 6x - 4
Collect like terms to both sides;
-10 + 4 < 6x - 8x
-6 < -2x
Divide both sides by - 2; Note the sign of the inequality changes;
3 > x or x < 3
Answer:
8m+-9n
Step-by-step explanation: