All categories

3 years ago

Find the exact length of the third side.

Mathematics

2 answers:

malfutka [58]3 years ago

6 0

Answer:

5sqrt3

Step-by-step explanation:

Using the pythagorean theorem, we have a^2+4^2=9^2

a^2 + 16 = 81

a^2 = 75.

a = sqrt75.

75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3

podryga [215]3 years ago

4 0

Answer:

8.0622577483

Step-by-step explanation:

pythagorean theorem

You might be interested in

Jayden filled his 288 gallon pool with water in 6 hours. How many gallons per hour did he use?

Ksju [112]

Answer:

48 gallons per hour

Step-by-step explanation:

Step 1:

288 : 6

Step 2:

288 ÷ 6

Answer:

Hope This Helps :)

5 0

3 years ago

A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?

maria [59]

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

$x \times 5$

$= 5x$

Secondly, 5 is added to product and you will get 10 :

$5x + 5 = 10$

Lastly, you have to solve :

$5x + 5 = 10$

$5x = 10 - 5$

$5x = 5$

$x = 5 \div 5$

$x = 1$

4 0

3 years ago

Read 2 more answers

Hamid bought 4.5 pounds of strawberries. The total cost of the strawberries was $8.10. How much did each pound of strawberries c

ankoles [38]

Answer:

$1.80 per pound

Step-by-step explanation:

divide the cost by the number of pounds of strawberries to get your answer

3 0

3 years ago

Read 2 more answers

Alexis and Paige work together as photographers for the local newspaper. Alexis is paid $25 for each news story she shoots and a

Naddik [55]

Answer:

The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.

Step-by-step explanation:

Given that:

Alexis charges $25 for each news story and $5 per picture.

Let,

n represent the number of news stories and p represent the number of pictures.

Alexis' total charges = $25n+5p$

Paige charges $15 for each news story and $10 per picture.

The variables will be same.

Paige's total charges = $15n+10p \\$

Alexis and Paige's charges will be added if newspaper hire them together.

Total charges paid by newspaper = $25n+5p+15n+10p=40n+15p$

Hence,

The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.

7 0

3 years ago

For the graph find a) b) c) and d)

Whitepunk [10]

Answer:

$f(0) = -1$

$f(\pi) = 1$

Domain: All real numbers

$Range = [-1,1]$

Step-by-step explanation:

Given

The attached graph

Solving (a): f(0)

On the attached graph

$f(x) = -1$ when $x =0$

So:

$f(0) = -1$

Solving (b): f(pi)

On the attached graph

$f(x) = 1$ when $x =\pi$

So:

$f(\pi) = 1$

Solving (c): Domain

There is no restriction on x.

Hence, the domain is the set of all real numbers

Solving (d): Range

In the attached graph

$y_{min} = -1$

$y_{max} = 1$

So, the range is:

$Range = [-1,1]$

5 0

3 years ago