Answer:
Step-by-step explanation:
U have to multiply 49 by 49 and then subtract 9
Answer: 
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's and solve for y:


Answer:
The width is 20 ft and the length is 80 ft
Step-by-step explanation:
Area = l * w
l = w +60
SA = 1600 ft^2 ( which is the regular area) The surface area of the water is just what is on top which is length times width
1600 = l*w
Substitute in l = w+60
1600 = (w+60) *w
Distribute the w
1600 = w^2 +60w
Subtract 1600 from each side
1600-1600 = w^2 + 60w -1600
0 = w^2 + 60w -1600
Factor
0=(w-20) (w+80)
Using the zero product property
w-20=0 w+80 =0
w=20 or w=-80
The width cannot be negative so
w=20
Now we need to find the length
l = w+60
l = 60+20
l =80
To work out the volume of a prism, you multiply the area of cross-section by the height (or length).
So for a cylinder, you work out the area of the circle and then multiply it by the height.
Area of circle (or cross-section) = π × radius²
= π × 0.7²
= 0.49π m²
Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:
Volume = 0.49π × 1.5
= 2.3 m³ (accurate to 2 decimal places)
---------------------------------------------------------------
Answer:
The maximum volume of rainwater the cylinder can hold is:
<u> </u><u>2.3 </u><u>m³</u>
Answer:
<h2>2x² - 16x + 30</h2>
Step-by-step explanation:
p(x) = 2x² - 4x
g(x) = x - 3
To find (pog)(x) replace every x in p(x) by g(x)
That's
(pog)(x) = 2(x - 3)² - 4(x - 3)
= 2( x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
<h3>= 2x² - 16x + 30</h3>
Hope this helps you