ANSWER
The slant height is 40cm.
EXPLANATION
The lateral area of a cone is given by:
where r=10cm is the radius of the circle and l is the slant height.
It was also given that, the lateral area is 400π cm²
We substitute the values to get,
We now divide both sides by 10π.
This implies that,
Hence the slant height is 40cm.
Answer:
B
Step-by-step explanation:
Answer:
<u>x = 466.7 feet</u>
Step-by-step explanation:
Finding the top angle of the triangle :
- They are complementary
- 90° - 31°
- 59°
Take the tan value of this angle to find y :
- tan 59° = 400/y
- 1.66427948 =400/y
- y = 400 / 1.66427948
- y = 240.344248
Using Pythagorean Theorem to find x :
- y² + 400² = x²
- x = √(240.344248)² + 160000
- x = √57765.3575 + 160000
- x = √217765.357
- <u>x = 466.7 feet</u> (nearest tenth)
Answer:
$3.24
Step-by-step explanation:
0.87 x 7 = 6.09
9.33 - 6.09 = 3.24
