A triangle has sides with lengths of 60 centimeters, 63 centimeters, and 87 centimeters. Is it a right triangle

Answers

Answer 1

We can check this by seeing if Pythagorean's theorem applies. The longest side is the hypotenuse, so let's see if this is true:
[tex]60^2+63^2 = 87^2[/tex]
[tex]7569 = 7569[/tex]

This is, indeed correct, thus, this is a right triangle.

Answer 2

Since the given lengths satisfied the Pythagorean theorem then the given triangle is a right angled triangle.

Use the concept of the triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

And the Pythagoras theorem for a right angled triangle is also defined as:

(Hypotenuse)²= (Perpendicular)² + (Base)²

The given length of sides are:

60 centimeters, 63 centimeters, and 87 centimeters.

Now take,

Hypotenuse = 87 cm

Base = 63 cm

Perpendicular = 60 cm

Apply the Pythagorean theorem,

87² = 60² + 63²

Calculating it,

7569 = 7569

Since the given sides satisfied the Pythagorean theorem,

Hence,

The triangle is a right angled triangle.

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Related Questions

Can someone help please

Answers

Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.

the side length of each cube is 2 1/2 inches. What is the volume, in cubic inches, of the rectangular prism?

Answers

since it is a cube all the sides are the same length

V = lwh
V = (2.5)(2.5)(2.5)
V = 15.625

The volume is 15.625 cubic inches

How far is it from the log ride to the pirate ship?

Answers

If I am correct it would be 37.5 meters.

Final answer:

The question seems to ask for the distance between two amusement park rides but actually gives details about the pendulum motion of a pirate ship ride. Without specific distance data or a park map, the physical distance cannot be determined from the given information. Physics concepts like kinetic energy can be discussed, but they don't provide the actual distance.

Explanation:

The question relates to the concept of pendulum motion within the field of physics. The student is seemingly referring to the distance between two rides in an amusement park: a log ride and a ride that is shaped like a pirate ship, which operates similarly to a pendulum. Since the question does not provide specific distances between the two rides, the answer would typically involve measuring the distance directly on-site or consulting a park map. However, the information given does describe the motion of the pirate ship ride. The ride is akin to a rigid pendulum, and it reaches a speed of 23.4 m/s at the bottom of its circular arc. This information can be used to discuss the kinetic energy and potential energy exchanges during the ride, but not the physical distance between the rides. To measure the distance in the park, one would likely need additional information about the park layout or GPS measurements.

The dimensions of mr. tai's living room are 10 feet x 18 feet x 8 feet.What is the total volume,in cubic feet,of the rooms?

Answers

1440 ft^3, hope i helped you

[tex]10 \times 18 \times 8[/tex]
[tex]10 \times 8 = 80[/tex]
[tex]80 \times 18 = 1440[/tex]
[tex]v = 1440 \: cubic \: feet[/tex]

Tameron is driving 540
miles to college.
He drives at a rate of 45
miles per hour.

How many hours will it take him to get 34
of the way there?

Answers

Do 540 ÷ 45 as you're first step. Then multiply that by 3/4.

540÷4= 12.

12 × 3/4 = 9. Awnser: 9

Answer:

[tex]\Delta t=9\: hours[/tex]

Step-by-step explanation:

1) If Tameron is driving 540 miles at a rate of 45 mph, then he may take 12 hours to make that trip. We'll use the formula below, that relates the rate for average speed is equal to the variation of space over the variation of time.

[tex]V_{m}=\frac{\Delta s}{\Delta t}\Rightarrow 45=\frac{540}{\Delta t}\Rightarrow \Delta t=\frac{540}{45}\Rightarrow 45\Delta t=540\:\Rightarrow \Delta t=\frac{540}{45}\Rightarrow \Delta t=12[/tex]

2) Although if he's already done 1/4 of the way , i.e. 135 miles then he's left with [tex]\frac{3}{4}[/tex]of the track to go.

Assuming He'll keep the speed rate,

[tex]\Delta t=\frac{540*\frac{3}{4}}{45}\Rightarrow \Delta t=9\: hours[/tex]

(2 square root 7+3 square root 6)(5 square root 2+4 square root 3)

Answers

the answer was kinda hard for me to figure out but it is 176.9503919

hey! So i believe the answer is 176.9503919. Let me know If I'm wrong. Anyways, I hope this helped!

What is the value of x? Show all of your work. Round your answer answer to the nearest tenth.

Answers

The answer is 13.1
Since it is a right triangle, it has to be 90 degrees. If you add 35.7 and 41.2, you get 76.9. So, 90-76.9=13.1

how long will it take for the pool to completely fill with water? (explain why so i understand) it’s a 120 gallon pool

Answers

First, you find out how much can be filled in 1 minute. Then you divide that into 120 to get your answer.

To find out how much can be filled in 1 minute, take the time and divide it into the volume. We'll use the second row (2 minutes and 8 gallons.)

8/2=4. So it takes 1 minute to fill 4 gallons. Now, you just divide 4 into 120.

120/4=30

It takes 30 minutes to fill the pool up to 120 gallons.

It would take 30 min to fill up the pool

graph the linear equation find three points that solve the equationm then plot on the graph 2y=5x+11

Answers

(-1,3)
(0,5.5)
(-2.2,0)

Answer:

(-1,3) (-3,-2) (-5,-7)

Step-by-step explanation:

PLEASE HELP!!!!!!
Find the value of x with side lengths 7, 9 and a 90 degree angle. PS x is the angle in between the hypotenuse(9) and the adjacent(unknown)

Answers

Here’s my answer, I hope this helps!

A triangle has an area of 180 square inches and a base of 18 inches. What is the height?

Answers

We can find the height using the area formula.

A = 1/2(b)(h)
180 = 1/2(18)(h)
180 = 9h
20 = h

barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm to the nearest cubic centimeter what is the volume of an ice cube from barry's tray 2cm2 8cm3 25 cm3 101 cm2

Answers

we know that
the volume of a cone=(1/3)*pi*r²*h
where
r is the radius
h is the height

in this problem
diameter=2 cm
so
r=diameter/2-----> r=2/2-----> r=1 cm
h=2 cm
volume of a cone=(1/3)*pi*1²*2------> 2.09 cm³------> 2 cm³

the answer is
2 cm³

Answer
2 cm²

Explanation
The volume of a cone is found by the formula;
Volume =1/3 πr² h
Where π=3.142
r=2/2=1 cm
h=2 cm
Volume = 1/3×3.142×1²×2
2.09466667
To the nearest whole number the answer is 2 cm².

A painter starts with a blank 36-inch by 24-inch piece of rice paper. The painter wants to leave a uniform border x inches wide along the outer edges so that the painting can be framed. Write a polynomial in standard form that represents the area of paper that can be painted.

Answers

Base: B=24-2x
Height= H=36-2x
Area of paper that can be painted: A=BH
A=(24-2x)(36-2x)
A=864-48x-72x+4x^2
A=4x^2-120x+864

Answer: The area of paper that can be painted is 4x^2-120x+864

In the neighborhood park there is a circular grassy picnic area but half of the grass has died the city wants to replace the grass but needs to know the square footage of the damaged area if the circular picnic area is 150 feet across what is the square footage of the damaged area

Answers

answer b

Step-by-step explanation:

Find the mean, median, mode, and range of this data : 49,49,54,55,52,49,55.

Answers

Mean: 315.8
median : Put the numbers in order from smallest to largest and the middle number is the answer.
Mode: 49
Range:6

The mean rounded to the tenths is 51.9

Is 6,12,24 arithmetic or geometric?

Answers

Geometric, hope this help

What is the difference between the longest and the shortest lengths of string?

Answers

The difference between the longest and the shortest lengths of string

is 3/4 inches.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Are 5 fractions [tex]12\frac{5}{8}, 12\frac{3}{4}, 12\frac{7}{8} 13, and 13\frac{1}{8}[/tex].

Now, The greatest fraction is [tex]13\frac{1}{8}[/tex] and the smallest fraction is [tex]12\frac{3}{4}[/tex].

As 7/8 is greater than 3/5.

So, The difference between the longest and the shortest lengths of string

is = [tex](13\frac{1}{8} - 12\frac{3}{4})[/tex].

= (105/8 - 51/4).

= (105 - 102)/4.

= 3/4 inches.

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What percent of 120 is 78?

Answers

78/120 = 0.65

0.65 = 65%

Hope this helped☺☺

65% since 78/120 is .78 and when moving from decimal to percent you move the decimal place two times to the right
hope this helps

A round table has a diameter of 28 inches. What is the area of the tabletop? Use 22/7 for 3.14.

Answers

A=πr^2=π·14^2≈615.75216

Where does Point A And B go? Marking brainliest

Answers

see the attached picture for the answers:

Hello there!

If the area would be 36, then we do 6[tex]*[/tex]6, and from this, it would obviously give us 36. We do (6) square units going up, and when we do this, the area would be 36. (see attachment below).

(point E would be plotted (2,4)) which would be noticed on the graph below this answer.

I hope this was founded helpful. Have an amazing day! :)

write 30% as a fraction in its simplest form

Answers

Hello there!

30% would be 0.3 of 1.

If this would be the case, we would then simplify this into a fraction and make it look like 3/10.

We do this because 30% is .3 of 1, like we already considered, and because of this, 10=1, and 3=30%.

Your answer: 3/10

[tex]\boxed{3/10}[/tex]

30% as a fraction in simplest form is 3/10.

What is a fraction?

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given decimal number 0.65 into a fraction by converting it into a percentage as follows;

0.65 = 65/100

By dividing both sides by 5, we have:

Fraction: 65/100 = 13/20.

Read more on fraction here: brainly.com/question/29367657

#SPJ634% as a fraction in simplest form is: D. 17/50.

What is a fraction?

In this exercise and scenario, we would convert the given percentage 30% into a fraction by dividing as follows;

30% = 30/100

By dividing both the numerator and denominator by 10, we have:

Fraction: 30/100 = 3/10.

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how do u write 0.16 in words

Answers

zero and sixteen tenths

There are no decimal words. As a fraction it would be , Sixteen Hundredths.

the circumference of a circle can be found using the formula c = 2r

Answers

No its c=2piR

Cant use pi sybol

Answer: the answer is c: R=C/2pi

I can't do the pi simbol

find the total surface area of the pyramid

Answers

To find the surface area of a pyramid, we need to find the area of all the faces and add them up.

4 * 6 = 24
24 / 2 = 12

There are four sides (not including the base) in this pyramid, so we should multiply this by 4.

12 * 4 = 48

Now, we find the area of the base.

6 * 6 = 36

We add up all of the numbers:

48 + 36 = 84

84 in^2 is the answer.

Hope this helps!

What is (-102.75) divided by (-3) rounded to the nearest hundredth

Answers

34.75 If you have two negative if will automatically becaome positive but only in multiplication and division.So you just divide the 3 into 102.75 which give you 34.75.

Answer:

34 .25.

Step-by-step explanation:

Given : (-102.75) divided by (-3).

To find : value rounded to the nearest hundredth.

Solution : We have given (-102.75) divided by (-3).

On dividing

[tex]\frac{-102.75}{-3}[/tex].

⇒ 34 .25

It is already nearest hundredth.

Therefore, 34 .25.

What is -15.4 + 25.2+(-10.4)

Answers

the answer is -0.6 (:

-0.6
-15.4 + 25.2 = 9.8

9.8 + (-10.4) = 0.6

Hope this helped. :)

Can someone please answer this question? Make sure to give a explanation.77 points.

Patrice buys 15.70 gallons of gas for $2.799 per gallon.

How much does Patrice pay for gas?

Give your answer with the appropriate precision.

A.
$43.90

B.
$43.94

C.
$43.95

D.
$44.00

Answers

The answer would be B. The answer would be B because when you multiply it you would get 43.9443 and then you would round it down to 94.94 because 43 is less 50. I hope that I could help you out!
(Please mark Brainliest and if you have questions just ask me!)

Is (20 x 76) + ( 5 x 76 ) a finding the area or perimeter problem?

Answers

You are finding area, as there is multiplication involved. Yes, there is Addition, but if you were to replace each number with a measurement, they would be squared. And any square measurement is an area

Rewrite the following equation in slope-intercept form. 17x + 4y = -14 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:
y = [tex] \frac{-17}{4} x[/tex] - [tex] \frac{7}{2} [/tex]

Explanation:
The slope-intercept form of an equation has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
17x + 4y = -14

To put this in slope-intercept form,we will need to isolate the y as follows:
17x + 4y = -14
4y = -17x - 14
y = (-17/4)x - (14/4)
y = [tex] \frac{-17}{4} x[/tex] - [tex] \frac{7}{2} [/tex]
where:
m is the slope = -17/4
c is the y-intercept = -7/2

Hope this helps :)

17x+4y = -14
Y= 0
17x = -14
X=-14/17

X=0
4y= -14
Y= -14/4

BRAINLIEST FOR CORRECT ANSWER!!! A gift in a cubic box with 12 in. edge lengths needs to be wrapped. How many square inches of wrapping paper will be needed to cover the box?

36 in²

72 in²

144 in²

864 in²

Answers

The answer is (D 864 in2) hope it helps and have a nice day!

12 * 12 = 144

Cubes have 6 faces.

144 * 6 = 864

You would need 864 in^2 of wrapping paper.

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