I believe your mistake is that you are trying to use the sector area formula ti find arc length when there is already a formula for it.
The formula for it is
So first substitute the values in and then simplify!
Now simplify!
21 × 118 is 2478 so it's
When divided ou and multiplied, this is 21.62cm!
Answer:
The solutions are <u>270°</u> and <u>450°</u>.
Step-by-step explanation:
Given:
.
So, the second and third quadrant angle to be calculated.
°.
And, 
°
Therefore, the solutions are <u>270°</u> and <u>450°</u>.
Answer: AC = 98
Step-by-step explanation:
A midpoint is a point on a line segment that divides it into <em>two equal parts</em>.
This means AB = BC
AB = 8x - 7
BC = 6x + 7
AB = BC
8x - 7 = 6x + 7
Solve this to find x
Add 7 to both sides
8x = 6x + 14
Subtract 6x from both sides
2x = 14
Divide both sides by 2
x = 7
Now AC = AB + BC
AC = AB + BC
AC = 8x - 7 + 6x + 7
AC = 14x
Substitute 7 for x
AC = 14(7)
AC = 98
Hope this helps!
Answer:
The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.
Step-by-step explanation:
<u>Given the information of the cone: </u>
- The height: 12 inches
- The radius of the base is : 10/2= 5 inches
=> the volume of the cone
= 1/3π
= 1/3*3.14*
= 314 cubic inches
<u>Given the information of the pyramid: </u>
- the height: 12 inches
- The base is a suqare with a side lengh = 5 inches
=> the volume of the pyramid:
= 1/3*Bh (where B is the area of the base)
= 1/3*5*5*12
= 100 cubic inches
<u>The proportion of the volume of the cone to the volume of the pyramid is: </u>
= 314 /100
= 3.14 times bigger.
Hope it will find you well
Here is an answer that will help
