Answer:
Cos z is 28/35
Step-by-step explanation:
Answer:
1256 cubic yards of sand.
Step-by-step explanation:
In this question we have to find the volume of cone formed by sand.
Height of the cone is = 36 feet
Radius of the cone = 60/2 =30 feet.
Now we know the formula of volume of cone v = π r² (h/3)
By putting the values of r and h we can get the volume of sand to spread.
Volume = π×(30)²×(36/3) = 3.14×900×12 feet³
= 33912 feet³
Now we will convert feet³ to cubic yards
Since 1 cubic feet = .037037 cubic yards
therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.
So the answer is 1256 cubic yards of sand has the department received.
Answer:
Inequality: 
Inequality solved: 
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol
.
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

In order to solve it, you must subtract 10 from both sides:

Plot this result on a number line.
Since the symbol of the inequality is
, the dot must be filled (Observe the number line attached).
Answer:
178 miles
Step-by-step explanation:
Let Eric has driven d miles.
As the rate of charge of driving the truck = 76 cents /mile
So, the charge of driving the truck for d miles = 76d cents= $0.76d
The base fee of the truck was $16.95.
Total money paid at the time of returning the truck = $152.23
So, 16.95+0.76d=152.23
0.76d= 152.23-16.95=135.28
d=135.28/0.76
d=178
Hence, he drives 178 miles.
Answer:
Length = 200 m
Breadth = 175 m
Step-by-step explanation:
Perimeter of the rectangular field = Total cost ÷ rate per metre
= 12000 ÷ 16
= 750 m
Length : breadth = 8 : 7
Length = 8x
Breadth = 7x
Perimeter = 750
2*(length + breadth) = 750
2*(8x + 7x) = 750
2* 15x = 750
30x = 750
x = 750/30
x = 25
Length = 8x = 8*25 = 200 m
Breadth = 7*25 = 175 m