Spilt into two figures
first one = 10 x 8 x 14 = 1120
second one = 10 x 10 x 8 = 800
Total volume = 1120 + 800 = 1920 cubic cm
Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be
33.49/8 = 4.19 cm²
Answer:
x is about 5.67
Step-by-step explanation:
Steps:
Divide each side by three:
17x = 3 → x = 5.67
Answer:
The answer is B. 4cm
Step-by-step explanation:
Since it is the midpoint AC is always going to be the same as CB if C is the midpoint.
:)
Answer:
1. -4(6)= -24
2.-21-8= -29
3. 121-4 =117
4. -6(5) =-30
5. -10(-9)= 90
6. (-5)7= -35
7. (-5)8= -40
8. -30(5)= -150
9. 20(-6)= -120
10. -14(6)= -84
11. (-13)2 = -26
12. –7(15) = -105
13. -3(4) = -12
14. 7(-3) = -21
15. 3(-3) = -9
16. -2(-10) = 20
17. (-5)(-3)(4) = 60
18. -3(-3)(4)= 36
19. -3(-5) = 15
20. 5(-3) = -15
21. 7(-5)(4) = -140
22. -2(-5)(-3)= -30
23. – 10(-3)=30
24. -21-3= -24
Explanation:
We have followed the rules in adding and subtracting negative as well as positive values on the number line.
When adding two negative values, the result is a negative value.
When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value
When multiplying two negative values, the result is a positive value
When multiplying one negative and one positive value, the result is a negative value
To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.
