Answer:
3 3/4
Step-by-step explanation:
Each block is worth 0.5 cm (1/2)
One note - NEVER FORGET THE UNITS
L - 5 blocks (5 blocks × 0.5cm = 2.5cm)
W - 2 blocks (2 blocks × 0.5cm = 1cm)
H - 3 blocks (3 blocks × 0.5cm = 1.5cm)
Formula for Volume:
V = L × W × H
V = 2.5cm × 1cm × 1.5cm = 3.75cm (fraction can be 3 3/4)
You're welcome :)
1/5x + 3 = 10
Subtract by 3 on both sides.
1/5x = 7.
Now to isolate the variable, flip the coefficient in front of the variable and multiply both sides by it.
5(1/5x) = 7(5)
x = 7(5)
x = 35
Now to check:
1/5(35) + 3 = 10
35/5 + 3 = 10
35/5 is 7.
7 + 3 = 10
10 = 10
Answer:
0.7233
Step-by-step explanation:
We want to find the area between the z-scores z=-0.95 and z=1.25.
We first find the area to the left of each z-score, and subtract the smaller area from the bigger one.
For the area to the left of z=-0.95, we read -0.9 under 5 from the standard normal distribution table.
This gives P(z<-0.95)=0.1711
Similarly the area to the left of z=1.25 is
P(z<1.25)=0.8944
Now the area between the two z-scores is
P(-0.25<z<1.25)=0.8944-0.1711=0.7233
Answer:
The height of the pile is increasing at the rate of 
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e 
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:
Taking the differentiation of volume V with respect to time t; we have:
we know that:
So;we have:
The height of the pile is increasing at the rate of
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180 >> add everything on the left side
2x + 194 = 180 >> subtract both sides by 194
2x = -14 >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44
