Answer: last option (5π√146 units²)
Step-by-step explanation:
To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:
where r is the radius but L is the slant height.
As you can see in the figure attached:
But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse):
Substitute into the formula, then:
units²
10 is the answer because using the Pythagorean theorem 6^2 + 8^2 = 100. The square root of 100 would be 10
Answer:
(15x + 120) ft³
Or
15(x + 8) ft³
Step-by-step explanation:
The prism can be decomposed into a rectangular prism and a triangular prism
The volume of the prism = volume of the rectangular prism + volume of the triangular prism
✔️Volume of rectangular prism = L*W*H
L = 5 ft
W = 4 ft
H = 6 ft
Volume = 5*4*6 = 120 ft³
✔️Volume of triangular prism = ½*b*h*l
b = x ft
h = 6 ft
l = 5 ft
Volume = ½*x*6*5 = 15x ft³
✔️Volume of the prism = (15x + 120) ft³
Answer:
12 monkeys and 18 Rabbits were sold
Step-by-step explanation:
Let y represent the number of monkeys
Each stuffed animal was sold at $4
(y + y +6)4= 120
(2y+6)4 = 120
8y + 24= 120
8y= 120 - 24
8y= 96
y= 96/8
y= 12
The number of monkeys is 12
Number of rabbits= 12 + 6
= 18
Hence the number of monkeys sold is 12 and the number of rabbits sold is 18
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Answer:
Value = 500000 × (1.1^n)
$1,296,871
Step-by-step explanation:
a = 500000
r = 550000 ÷ 500000 = 1.1
1st term is the initial year:
n years after that is the "n+1"th term
Value = 500000 × (1.1^n)
n = 10
500000(1.1¹⁰)
1,296,871.23005
