Answer:
0.7
Step-by-step explanation:
To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.
Answer:
Step-by-step explanation:
From similar triangles, see diagram in attachment
We solve for 
to obtain,
The formula for calculating the volume of a cone is
We substitute the value of to obtain,
This implies that,
We now differentiate both sides with respect to 
to get,
We were given that water is drained out of the tank at a rate of 
This implies that 
.
Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means 
.
We substitute this values to obtain,
Answer:
15°
Step-by-step explanation:
sum of exterior angles=360°
each angle=360/24=15°
b
20 ×n=360
n=360/20=18
18 sides
c.
(n-2)×180=174n
180n-174n=360
6 n=360
n=360/6=60
number of sides =60
Answer: (7, 0)
Step-by-step explanation:
We have the system of equations:
9*x - y = 63
x = y + 7
We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:
9*x - y = 63
9*(y + 7) - y = 63
Now we have an equation that only depends on one variable, so we can solve it:
9*y + 63 - y = 63
8*y + 63 = 63
8*y = 63 - 63 = 0
y = 0/8 = 0.
Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:
x = y + 7 = 0 + 7 = 7
Then the point that is a solution for the system of equations is (7, 0)
