Answer:
26.17 cm²
Step-by-step explanation:
Applying,
A = πr²∅/360................. Equation 1
Where A = Area of the sector, r = radius of the circle the sector was formed from, ∅ = angle subtends by the sector at the center of the circle , π = pie.
From the question,
Given: r = 5 cm, ∅ = 120°, π = 3.14
Substitute these values into equation 1
A = 3.14(5²)(120)/360
A = 26.17 cm²
Hence the area of the sector is 26.17 cm²
Answer: About 10 ft.
Use Pythagorean's Theorem!
c=
9 * 9 = 81
3 * 3 = 9
81 + 9 = 90
= 3
≈ 10 ft.
Answer:
n-5=2n+9
Step-by-step explanation:
Before we solve, let's define what a scale factor is. A scale factor is a certain number that can be multiplied or divided by to get a smaller or bigger image that's similar to the current image.
We have 48 by 36 as our original.
It has been reduced to an 8 by 6.
This means we must divide.
Before we get into any complicated ideas, if any, let's try a simple trick.
Divide 48 by 8 and 36 by 6. This should give us a scale factor if they give us the same quotients.
48 / 8 = 6
36 / 6 = 6
It turns out our scale factor is 1/6 (the same as dividing by 6).
The answer cannot be 1/8 because 36 / 8 doesn't give us 8 as a quotient.
The answer also cannot be 6 because we'd have to mutliply our current sides by 6 to get the new image, which it was the opposite.
By elimination and work shown, A.) 1/6 is the correct answer.
I hope this helps!
Answer
Q1. -8+3
solution:
= -8+3
= -5 .Ans
Rule : if the sign are different subtract and and keep the sign of larger value.
Q2. 7-(-14)
solution :
= 7-(-14)
= 7 + 14
= 21 .Ans
Rule: if the signs are same add and keep the sign same
Q3. 8× (-2)
solution:
= 8×-2
= -16. Ans
(solve bracket first)
Q4. (-39) ÷ (9)
solution:
= -39 ÷ 9
= -4 .Ans
Q5. 24 ÷ 8 × (7+3) ÷ 5
solution:
= 24 ÷ 8 × (10) ÷ 5
= 24÷ 8 × 10 ÷ 5
= 3 × 2
= 6
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
Q6. 8 (2x+9) - 2
solution:
= 8 (2x+9) -2
= 16x + 72 - 2
= 16x + 70 .Ans
Q7. 36y - 8y + 15 - 13
solution:
= 36y- 8y + 15 - 13
= 30y + 2 .Ans
Q8. 3÷ 4
solution :
= 3÷ 4
= 0.75 .Ans
Q9. 8/0
soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.
Q10. 18 /1
solution:
= 18/1
= 18 ÷ 1
= 18. Ans
Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.
Q11. 1 ÷ 9-3
solution:
= 1 ÷ 9-3
= 0.1111 - 3
= −2.8888 .Ans
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
