All categories

3 years ago

Find the third side in simplest radical form

Mathematics

1 answer:

klasskru [66]3 years ago

3 0

Answer:

$2 \sqrt{71} \: units$

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

$thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units$

You might be interested in

What is the enlargement ratio if you enlarge the figure to have a width of 16 units and length of 12 units

Fantom [35]

Answer:

The enlargement ratio is 3:4

Step-by-step explanation:

We are given

a width of 16 units and length of 12 units

so,

$W=16$

and

$L=12$

now, we can find enlargement ratio

we can use formula

enlargement ratio = (length)/(width)

$=\frac{L}{W}$

now, we can plug values

$=\frac{12}{16}$

now, we can simplify it

$=\frac{3}{4}$

So,

The enlargement ratio is 3:4

6 0

3 years ago

out of 6,29 and 22 which 2 or 3 numbers which ones are composite? pls answer the question I'm doing something I have to do so pl

Solnce55 [7]

Answer:

6 = 2 * 3 so it is composite

22 = 2 * 11 so it is composite

29 is a prime number

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I BEG OF YOU HELPPPP Twice last month, Judy Carter rented a car in Fresno, California, and traveled around the Southwest on bu

sineoko [7]

Answer:

the daily fee =33 dollars

and the mileage charge.=0.35

Step-by-step explanation:

let d: be daily fee and m for mileage

cost of rental =(d*number of days)+ (m*number of mileage)

her first trip: 4d+440m=286

her second trip: 3d+190m=165.5

solve by addition and elimination

4d+440m=286 ⇒ multiply by 3 ⇒12d +1320m=(3)286

3d+190m=165.5⇒ multiply by 4⇒12d+190(4)m=4(165.5)

12d+1320m=858

12d+760m=662

subtract two equation to eliminate d

12d+1320m-12d-760m=858-662

560m=196

m=7/20=0.35 for on mileage

d: 4d+440m=286

4d=286-440(0.35)

d=(286-154)/4 33 dollars

8 0

4 years ago

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

One pump will fill 200l in 20 minutes

So the rate of filling per pump will be 10l/minute (200/20)

Let the number of minutes it will take to fill the 600l be x minutes

Now, since the rate of filling per pump is 10 l/minute

Then in x minute, they would have filled 10l/minute * x = 10x liters

So it is now this 10x liters that will be equal to 600

To find x, we simply divide

10x = 600

x= 600/10

x = 6 minutes

4 0

3 years ago

How to solve 2/3z = -6 using inverse operations

Molodets [167]

Z=-9 I think ............

7 0

4 years ago