All categories

3 years ago

A triangle has sides of lengths 10, 24, and 26. Is it a right triangle? Explain.

1 answer:

4 0

The most efficient way of finding the answer to this question is first reducing 10-24-26 and comparing it with the first 5 combinations for right-angled triangles:

First, reduce 10-24-26 by dividing it by the GCF (greatest common factor).

10-24-26 divided by its GCF, 2, is: 5-12-13

Now comparing it with the first 5 combinations for right-angled triangles:

1) 3-4-5
2) 5-12-13
3) 7-24-25
4) 8-15-17
5) 20-21-29

As you can see, number 2 is the same as our reduced example. Therefore, we know that 10-24-26 is a right triangle.

Hope this helps!

You might be interested in

John traveling to a meeting that is the 28 miles away he needs to be there in 30 min,how fast does he need to go to make it to t

Degger [83]

Answer:

30 mph

Step-by-step explanation:

3 0

2 years ago

Which expression correctly represents "six more than the quotient of three and a number, decreased by eight"?

LenKa [72]

The option A is correct because the value of the statement is 6+3/n-8.

According to the statement

we have given that the statement and we have to write the statement in the numerical form.

So, For this purpose

we know that the given statement is

"Six more than the quotient of three and a number, decreased by eight".

In this statement "Six more than" indicates the sum between the quotient and 6.

And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

6+3/n-8

So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.

Learn more about Numbers here

brainly.com/question/11408596

#SPJ1

6 0

2 years ago

Tina's aquarium has a capacity of 40 gallons or water. She plans to stock her aquarium with 0.25 inches of fish per quart of cap

Sonbull [250]

Answer:

The number of mollies fishes in the aquarium is 20 .

Step-by-step explanation:

Given as :

The capacity of aquarium = 40 gallons

∵ 1 gallon = 4 quart

∴ 40 gallons = 4 × 40 = 160 quart

Now, According to question

0.25 inches of fish required 1 quart capacity

I.e for 1 quart capacity , 0.25 inches fish

So. for 160 quart capacity , 0.25 × 160 = 40 inches fishes

Now the size of mollies fish = 2 inches

Then , number of mollies fish = $\dfrac{\textrm total size of fishes}{\textrm size of mollies fish}$

I.e Number of mollies fish = $\frac{40}{2}$ = 20

Hence The number of mollies fishes in the aquarium is 20 . Answer

3 0

2 years ago

Please answer the question and leave an explanation on how to solve each part. Thank you in advance!

horsena [70]

The solutions are

it is going to take 15.9 months to raise 10000 dollars

You will have $37.31 after you have bought the car
The money deficit would be $37.31

<h3>How to solve the question</h3>

a. 10000 = 9359.08e(0.05)

e⁰⁰⁵ = 10000/9359.08

= 0.05 = ln(10000/9359.08)

= 1.325 years

convert to months = 15.9 months

Hence it is going to take 15.9 months to raise 10000 dollars

b. 9359.08 x e^(0.05 x1.25)

= 9962.69

10000 - 9962.69

= $37.31

You will have $37.31 after you have bought the car

c. The money loss and the deficit would be same as above $37.31

d. ln(e^a) = a

We can clearly see that the money cannot be raised in the 15 months from $ 9359.08. there is a deficit amount of $37.31

Read more on compound interest here: brainly.com/question/24924853

#SPJ1

3 0

1 year ago

Whats the name of the qudrilateral below?

andrezito [222]

Answer:

I dont see any picture "below"

Step-by-step explanation:

3 0

2 years ago