Answer:
<u>10°C average temperature</u>
Step-by-step explanation:
Average Temperature = Lowest + 17
= -7 + 17
= 17 - 7
= <u>10°C average temperature</u>
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere
cubic cm.
The volume of the half-sphere
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume
cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
For the cost from the two methods to be equal, 3,200 books have to be produced
Step-by-step explanation:
In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.
Since the number of books is something we do not know, let’s represent it with a variable called c.
For the first production method, the cost of production will be ; 58,881 + 8.50c
For the second production method, the cost of production will be; 18,081 + 21.25c
Now since they are said to be equal, we proceed to equate both;
58,881 + 8.5c = 18,081 + 21.25c
58,881-18,081 = 21.25c - 8.5c
40,800 = 12.75c
c = 40,800/12.75
c = 3,200 books
Use PEMDAS
first 36-4 = 32
7^2 = 49
(32/16) - 49 is your answer -47
8.454 is 3 tenths more than 8.154
3.625 is 2 and 2 tenths more than 1.425
Place values after the decimal point are tenths, hundredths, thousandths, ten thousandths...so on.
So 3 tenths looks like this 0.30 ⇒ 3 is in the tenths place. When you say 3 tenths more, it is a clue that the operation to be done is addition. thus,
8.154
<u>+ 0.30
</u> 8.454 * in addition or subtraction, the decimal points must be aligned to avoid confusion.
2 and 2 tenths is like this 2.20 ⇒ 1st 2 is in the ones or units place and the 2nd 2 is in the tenths place. Again it states more than so addition must be done.
1.425
<u>+ 2.20</u>
3.625
<u>
</u>