1. Answer = About 1451.42 m³
- First, we need to find the volume of the cube:
- Formula: πr²h
- Volume = π * 3² * 50 = 1413.72 m³
- Second, we need to find the volume of the cone:
- Formula: (πr²h)/3
- Volume = π * 3² * 4 = 37.69 m³
- Third, we need to add these two volumes to find the total volume of the figure.
- 1413.72 m³ + 37.69 m³ = 1451.42 m³.
2. Answer <em>= </em>960 m³
- Formula: (1/2(b*l)) * 20
- First, we need to find the area of the base (1/2 * b* l).
- 1/2 * 8 * 12 = 48.
- Second, we need to multiply the area of the base by the height to get the volume.
- B * h = 48 * 20 = 960 m³.
The number of ways to arrange the 5 writings in a row is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.
There is only 1 way to arrange the writings from oldest to newest.
Therefore, the probability is 1/120.
Answer:
A and B.
Step-by-step explanation:
<h3>To get to know the graph with least slope, we have to write all equations in the form <u>y=mx + c.
</u></h3>
where m is the slope and c is the the y-intercept.
A. y = x + 6
For this equation m = 1
B. y = -x - 9
For equation B, m = -1
C. y = 2x + 1
In this equation, m = 2
D. y = -7x - 2
In equation D, m = -7
The equation with the highest slope is D while the one with the least slope/steep is <em>A and B.</em>
To find the value of x, you need to set up a proportion.This is the proportion you would set up:
2.5 x
---- = ------
3.75 60
x=40
X-intercepts
f(x) = 0
4x² - 15x - 4 = 0
4x² - 16x + x - 4 = 0
4x(x - 4) + 1(x - 4) = 0
(x - 4)(4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0
x = 4 or 4x = - 1 ⇒ x = - 1/4
Answer: -1/4 and 4.
