1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Goryan [66]
4 years ago
7

Find the length of the hypotenuse of a right triangle whose legs measure 6 and 5

Mathematics
1 answer:
Pavel [41]4 years ago
6 0
A right triangle is a type of triangle which contains a right triangle. To be a right triangle, it should satisfy the Pythagorean Theorem which relates the three sides of the triangle. In this triangle, the longest side is called as the hypotenuse. To determine the hypotenuse, we use the Pythagorean Theorem which is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse

We calculate as follows:

c^2 = a^2 + b^2
c^2 = 6^2 + 5^2
c^2 = 61
c = √61

Therefore, the hypotenuse of the right triangle with sides 6 and 5 would be √61 which, clearly, is longer than the two sides.
You might be interested in
On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his
weeeeeb [17]

Answer:

\% Change = \frac{|28-32|}{32} *100 = 12.5\%

(B) Decrease by 12.5%

Step-by-step explanation:

For this case we know that the revolution is proportional to the circumference.

And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.

We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:

Avg = \frac{x}{mi}

Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.

If we find the average revolutions per each case we got:

Tuesday:

Avg = \frac{896}{32}=28

Monday:

Avg = \frac{896}{28}=32

And then we can find the % of change like this:

\% Change= \frac{|Final-Initial|}{Initial} *100

And if we replace we got:

\% Change = \frac{|28-32|}{32} *100 = 12.5\%

Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.

So then the best answer for this case would be:

(B) Decrease by 12.5%

3 0
3 years ago
Solve the division problem. <br> -1 3/5 divide (-2/3) <br> write as a mixed number.
kodGreya [7K]

First you make -1 3/5 into an improper fraction, -8/5

Since you're dividing a fraction by another fraction you'd change it to -8/5 × -3/2

(Don't forget to flip -2/3 to -3/2)

when you multiply it it'd be 24/10

(It is a positive number because when you multiply two negative numbers it becomes positive)

24/10 as a mixed fraction is 2 1/5

6 0
3 years ago
A pound of rice crackers costs $2.88.Matthew purchases 1/4 pound of crackers.How much will he pay?
Sergio [31]

Answer: $0.72


Step-by-step explanation: $2.88/4


3 0
3 years ago
Read 2 more answers
Strawberries cost $21.25 for 4 pounds. Find the unit rate. Round to the nearest cent if necessary.
gizmo_the_mogwai [7]

Answer:

$5.31/lb

Step-by-step explanation:

Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.

3 0
3 years ago
Read 2 more answers
In the diagram shown , find the size of angle x​
almond37 [142]

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the given angles and equate to 720

125 + x + 130 + 90 + 165 + 100 = 720, that is

610 + x = 720 ( subtract 610 from both sides )

x = 110°

6 0
3 years ago
Other questions:
  • Karen collects 6/7 quart of rainwater. She uses 1/2 of the water to clean her bicycle and uses the remaining water equally for 3
    10·1 answer
  • What is the perimeter of a rectangle with a length of 22 and a width of 68.8?
    10·2 answers
  • The lowest tempature reached on a cold night was -6 degrees Fahrenheit the next day had a high of 15 degrees Fahrenheit what was
    12·1 answer
  • Which fraction is the equivalent of 145%?<br> 0<br> |<br> 0<br> |<br> 0<br> |<br> 0<br> |
    10·1 answer
  • 28 people ordered dessert
    14·2 answers
  • : Which equations have an infinite number of solutions? Select all that apply. A -2(x - 2) + 3x = x - 4 B 2x + 4(x - 1) = 3(2x +
    10·1 answer
  • Please help, the question is in the picture.
    15·1 answer
  • Please help i don’t understand
    15·1 answer
  • A population of mutant Venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects t
    9·1 answer
  • Frank is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Supp
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!