All categories

1 year ago

The question is attached

Mathematics

1 answer:

Bingel [31]1 year ago

5 0

Answer:

We call the denominator rational.

Step-by-step explanation:

For example:

$\frac{1}{\sqrt{2}} = \frac{\sqrt2}{\sqrt2 \cdot \sqrt2} = \frac{\sqrt2}{2}$

It's clear that the denominator is now a rational number, not an irrational one anymore.

You might be interested in

Determine whether the two triangles are similar. HELP ASAP! I AM RUNNING OUT OF POINTS!!

Lemur [1.5K]

Answer:

they are similar

Step-by-step explanation:

this is because of the degree of the angles and the measurements between the edges. The only reason it may not look the same is because it has been rotated and downsized.

8 0

3 years ago

17 POINTS!!!! List the elements in the set described. {x|x is a natural number between 9 and 17} (Use a comma to separate answer

stepladder [879]

Answer:

10, 11, 12, 13, 14, 15, 16

Step-by-step explanation:

The natural numbers are 1, 2, 3, 4, ...

The natural numbers between 9 and 17 are 10, 11, 12, 13, 14, 15, 16.

Answer: 10, 11, 12, 13, 14, 15, 16

8 0

3 years ago

a bus is traveling at a constant speed.if the bus is 15 1/2 miles in 1/3 of an hour. how many miles will the bus travel in one h

Lemur [1.5K]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.

KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

$\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}$

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

$\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}$

Solving it:

The sum is 493.4

4 0

3 years ago

The football team has a total of 50 jerseys. There are 35 medium-sized jerseys. What percent of the jerseys are medium-sized j

Mariulka [41]

Hello,

This problem can be simply solved by putting everything into fractions. Since there's a total of 50 shirts but 35 of them are medium sized then the fraction would be 35/50. You're trying to find the percentage so the 2nd fraction would be out of 100 so it would be ?/100.
35 ?
---- = ----
50 100
Now you diagonal multiplication then downwards division.
100 x 35=3500
3500/50=70
So your answer is 70%!! :D
Hope this helps a bunch!!!

4 0

3 years ago