A waiter received $3 tip. If the check totaled $25, what percent tip was received?

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

Answer: 12%

Step-by-step explanation: Percent easily found with 100. 25*4=100. 3*4=12

12/100=12%

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Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ? Question 9 options: A) 240 B) 360

Len [333]

Answer:

The sum of this geometric series is 720.

Step-by-step explanation:

The sum of a infinite geometric series is given by the following formula:

$s = \frac{a_1}{1 - r}\\$

Applying the data from the problem, we have:

$s = \frac{180}{1 - \frac{3}{4}}\\\\s = \frac{180}{\frac{4 - 3}{4}}\\\\s = \frac{180}{\frac{1}{4}}\\\\s = 180*4 = 720$

The sum of this geometric series is 720.

6 0

3 years ago

Find the value of sinA in the figure above.

Anit [1.1K]

Answer:

Step-by-step explanation:

Sin(A) = O/H

Sin(A) = 27/45

Sin(A) = 0.6

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3 years ago

The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?

Maurinko [17]

By definition, the volume of a cone is given by:
$V = (1/3) * (\pi) * (r ^ 2) * (h)
$
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
$r = x / 2
$
The height is:
$h = x
$
Substituting values:
$V = (1/3) * (\pi) * ((x / 2) ^ 2) * (x)
$
Rewriting:
$V = (1/3) * (\pi) * (x ^ 2/4) * (x)

V = (1/12) * (\pi) * (x ^ 3)$
Answer:
An expression that represents the volume of the cone, in cubic units is:
$V = (1/12) * (\pi) * (x ^ 3)$