Answer:
Step-by-step explanation:
Volume of triangular prism:
=
× H
Volume of triangular pyramid:
=
The total volume of figure is
V =
+
Answer:
From left to right:
3, 30, 20
Step-by-step explanation:
Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:
yellow to red = 2 to 6 = 1 to 3
2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.
This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.
To go from yellow to red, do yellow X 3.
To go from red to yellow, do red ÷ 3.
Column 1:
1 X 3 = 3
Column 3:
10 X 3 = 30
Column 4:
60 ÷ 3 = 20
The ratios are:
1 to 3
2 to 6
10 to 30
20 to 60
Answer:


Step-by-step explanation:
Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format
.
Where,

b = y-intercept or the point at which the line cuts the y-axis.
Let's find slope (m) using the slope formula:
Let,





Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.





Plug in the values of m and b into the slope-intercept formula to get the equation of the line.


Let's use the equation to find x when y = 112.

Substitute y = 112 in the equation



Divide both sides by 8


Answer:
4.1 sec
Step-by-step explanation:
h(t)=-3.2t^2+12.8t+1
h(t)=-3.2(t^2-4t)+1
h(t)=-3.2(t^2-4t+4-4)+1
h(t)=13.8-3.2(t-2)^2
For the ball to touch ground, h(t)=0.
13.8-3.2(t-2)^2=0
(t-2)=2.0766
t=4.07≈4.1 sec.
Answer:
5x+2
Step-by-step explanation:
I think it is 5x+2