Answer:
A
Step-by-step explanation:
The n th term formula for a geometric sequence is
= a
where a is the first term and r the common ratio
here a = - 5 and r = - 10 ÷ - 5 = 2, thus
= - 5( → A
Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³
Answer:
<h2>
</h2>
Option B is the correct option.
Step-by-step explanation:
Move constant to R.H.S and change its sign:
Take the L.C.M
Calculate
Hope this helps...
Good luck on your assignment..
This can be displayed as a system of equations.
x = 3 + 5y
x - y = 11
Because we have a value of x we can plug it into the value of x in the second equation.
(3 + 5y) - y = 11
3 + 5y - y = 11
Combine like terms.
3 + 4y = 11
Subtract 3 from both sides.
4y = 8
Divide both sides by 4.
y = 2
Now that we have a constant value for y, we can replace the value of y in the second equation with 2 to solve for x.
x - 2 = 11
Add 2 to both sides.
x = 13
Now, let's verify.
13 = 3 + 5(2)
13 = 3 + 10
13 = 13 √ this is correct.
13 - 2 = 11
11 = 11 √ this is correct.
The first number, or x, is equal to 13.
The second number, or y, is equal to 2.