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2 years ago

Which choice is equivalent to the expression √20 + √80

Mathematics

2 answers:

salantis [7]2 years ago

7 0

Answer:

13.41

Step-by-step explanation:

Hope it helps!

Korvikt [17]2 years ago

5 0

Answer:

6 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$ = 2 $\sqrt{5}$

$\sqrt{80}$

= $\sqrt{16(5)}$

= $\sqrt{16}$ × $\sqrt{5}$ = 4 $\sqrt{5}$

Then

$\sqrt{20}$ + $\sqrt{80}$

= 2 $\sqrt{5}$ + 4 $\sqrt{5}$

= 6 $\sqrt{5}$

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Yes, felt that. thanks and have a lovely day!:D

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2 years ago

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jimmy is moving to a new apartment. he fills a box with 4 books, 5 DVDs, and 2 CD's. when he starts unpacking his new place he p

pav-90 [236]

Answer:

$\frac{2}{11}$

Step-by-step explanation:

First, find the probability of him pulling out a book.

There are 11 objects in total, and there are 4 books.

So, the probability of pulling out a book is $\frac{4}{11}$

Next, find the probability of him pulling out a DVD after.

Since a book was taken out, there are only 10 objects left. There are 5 DVDs.

So, the probability of pulling out a DVD is $\frac{5}{10}$ , or simplified to $\frac{1}{2}$

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$\frac{4}{11}$ x $\frac{1}{2}$

= $\frac{2}{11}$

So, the probability is $\frac{2}{11}$

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2 years ago

A rectangular television screen has an area of w^2 + 2w square inches if the width of the television screen is w inches, what is

gregori [183]

The area of a rectangle is:

A = length × width

A rectangular television screen has an area:

A = w² + 2w inches²

width = w

length = A / width = (w² + 2w) / w = w(w + 2) / w = <u>w + 2</u>

Ansver:

<h2><u>length = w + 2</u></h2><h2><u></u></h2><h2><u></u></h2>

3 0

3 years ago

An investor obtains a balloon mortgage with the terms shown below.

Flauer [41]

9514 1404 393

Answer:

a. $3,455.20

Step-by-step explanation:

The monthly payment is given by the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

for loan amount P at annual rate r for t years.

For this mortgage, we use P = $530,000, r = 0.068, t = 30.

A = $530,000(0.068/12)/(1 -(1 +0.068/12)^(-360)) ≈ $3,455.20

The monthly payment is $3,455.20.

_____

<em>Additional comment</em>

In 7 years, the balloon payment will be $481,559.91.

6 0

2 years ago

There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less

kaheart [24]

The number of permutations of picking 4 pens from the box is 30.

There are six different unique colored pens in a box.

We have to select four pens from the different unique colored pens.

We have to find in how many different orders the four pens can be selected.

<h3>What is a permutation?</h3>

A permutation is the number of different arrangements of a set of items in a particular definite order.

The formula used for permutation of n items for r selection is:

$^nP_r = \frac{n!}{r!}$

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1

We have,

Number of colored pens = 6

n = 6.

Number of pens to be selected = 4

r = 4

Applying the permutation formula.

We get,

= $^6P_4$

= 6! / 4!

=(6x5x4x3x2x1 ) / ( 4x3x2x1)

= 6x5

=30

Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.

Learn more about permutation here:

brainly.com/question/14767366

#SPJ1

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11 months ago