Round to the nearest place value and write in scientific notation 1,402,941,487

A right circular cylinder has a height of 19 3/4 ft and a diameter 1 2\5 times its height.

alexira [117]

Answer:

Volume of cylinder is 34833.21 ft³

Step-by-step explanation:

Given : A right circular cylinder having height $19\frac{3}{4}$ ft and diameter $\frac{12}{5}$ times its height.

Given : diameter $\frac{12}{5}$ times its height that is

diameter $\frac{12}{5}$ times $19\frac{3}{4}$ that is

Diameter = $\frac{12}{5} \times \frac{79}{4}$

Diameter = $\frac{237}{5}$ ft

Radius is half of diameter,

Radius = $\frac{1}{2} \times \frac{237}{5}=\frac{237}{10}$ ft

$\text{Volume of Cylinder}=\pi r^2h$

Substitute the values, we get,

$\text{Volume of Cylinder}= \pi (\frac{237}{10})^2 \times \frac{79}{4}$

$\text{Volume of Cylinder}= \times 3.14 \times (23.7)^2 \times 19.75$

$\text{Volume of Cylinder}=34833.21$

Thus, volume of cylinder is 34833.21 ft³

6 0

3 years ago

$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$

8 0

3 years ago

Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain. A. No, they do not both mean the same

Yuri [45]

Answer:

B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.

Step-by-step explanation:

Given

Phrase 1: 6 less a number y

Phrase 2: 6 less than a number y

Mathematically,

Phrase 1 can be represented as follows;

$y - 6$

Mathematically,

Phrase 2 can be represented as follows;

$y - 6$

Since the representation of both phrases are the same, then option B answers the question.

4 0

3 years ago

What is 2(x+6) in mathematics

Tanya [424]

Answer:

2x+12, the answer was derived by multiplying the variable in the bracket by the two

Step-by-step explanation:

3 0

3 years ago

Which of the following numbers is not in the solution to the inequality

ohaa [14]

The answer you are looking for is B

5 0

2 years ago