The exact surface area is 150.8 and the exact volume is 141.37.
To answer this I used the formula for surface are for a right cylinder which is. 2•3.14•r•h+2•3.14•r^2 (^2 means to the power of 2) r=radius and h=height. When you replace the r’s and the h’s with the radius and height it’ll look like this. 2•3.14•3•5+2•3.14•3^2. For the power of 2 (^2) we basically just do 3•3. But when you put that into a calculator it gives you 150.8.
To find the volume use the formula 3.14•r^2•h when you replace the r’s and the h’s with the height and the radius it’ll look like this. 3.14•3^2•5. When put into the calculator it gives you 141.37.
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
Well the unite rate is 6 over 1 night, so I’m guessing it would take her 7 nights to knit 42 centimeters.
Hope this helps! I really did try :) :/
If sport books recieved 9 votes then they would be in the middle of 8 and 10 on the bar graph. If you want to know where the bar should end it would be 10.
Hope helps!
