Answer:
93214.28 cm³
Step-by-step explanation:
The area of the given solid in the front side is = area of the rectangle + area of the semi circle.
= ( 40 × 30 ) + 0.5 × π × r²
=
{Since radius = 0.5 × Diameter = 0.5 × 30 = 15 cm}
= 1553.57 cm².
Now the volume of the solid is given by (Area of the vertical surface × horizontal length) = 1553.57 × 60 = 93214.28 cm³ (Answer)
We are given the function <span>f(x) = 3^x+1 - 2 and is asked for the asymptote and y-intercept. In this case, we transform the function to
y +2 = 1/3^(x+1)-1
y = 1-2</span>/3^(x+1)-1/(3^(x+1)-1)
let 3^(x+1)-1 = 0
<span>1/3^(x+1) = 0
x = infinity
when x = infinity
y = 0 - 2
y = -2
The y-intercept is the value where x = 0. substituting,
y = 3^(0+1) - 2 = 1 </span>
Answer:
3537.73 cubic in
Step-by-step explanation:
Given,
Diameter of the cone = 26 in
Radius of the cone = 26in ÷ 2 = 13 in
Height of the cone = 20 in
Therefore, volume of the cone



<u>Approx. 3537 . 73 cubic in (Ans)</u>
Answer:
Option B,option D and option F are the correct statements.
Answer:
(B)24 Units
Step-by-step explanation:
Triangle MNO is an equilateral triangle with sides measuring
units.
The height divides the base into two equal parts of lengths
units.
As seen in the diagram, we have a right triangle where the:
- Hypotenuse =
units. - Base =
units.
Using Pythagoras Theorem

The height of the triangle is 24 Units.