Answer:
The lateral surface area of the cone is
.
Step-by-step explanation:
We have.
Height of a cone is 60 m
Diameter of a cone is 10 m
Radius, r = 80 m
The lateral surface area of a cone is given by :

l is slant height of the cone,

Plugging all values in above formula,

So, the lateral surface area of the cone is
.
In algebraic terms this is:

The integer is 2.
Answer:
28
Step-by-step explanation:
You want the smaller of the two factors of 896 that have the ratio 8:7.
<h3>Setup</h3>
Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...
x(8/7)x = 896
(8/7)x² = 896
<h3>Solution</h3>
Multiplying by the inverse of the coefficient of x², we have ...
x² = (7/8)(896) = 784
x = √784 = 28 . . . . . . . . take square root
The smaller of the two numbers is 28.
__
<em>Additional comment</em>
The larger is (8/7)(28) = 32.
Answer:
$4080
Step-by-step explanation:
We have the amount she will pay back, but first, we need to find the Interest accrued.
Simple Interest is given as:

where P = principal
R = rate
T = time taken (in years)
Therefore, the interest on $3,000 at 9% simple interest for 4 years is:

I = $1080
Therefore, the amount she will pay back is:
$3000 + $1080 = $4080