Which set of measurements could represent the three sides of a triangle?
O 2 cm, 3 cm, 6 cm
O 1 cm, 4 cm, 6 cm
O 8 cm, 9 cm, 10 cm
6 cm, 10 cm, 18 cm

Answers

Answer 1

Answer:

The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.

Step-by-step explanation:

The measurements are,

                  7cm, 11cm, 54cm, 60cm, 61cm, 65cm

Step:1

                 To check the right angle triangle, Pythagorean theorem can be used.

                For a Pythagorean theorem,

                                     ..........................(1)

               The side values are lower than the hypotenuse,

                                                        ...................................(2)

               Where,

                         a,b - side values

                            c - Hypotenuse

               For right angle triangle,  c > a, b

               Alternative : 1

               Take, a = 7cm, b = 11cm

               From eqn (2),

                                                   =  = 13.04

              The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 2

               Take, a = 7cm, b = 54cm

               From eqn (2),

                                                   =  = 54.45

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 3

               Take, a = 7cm, b = 60cm

               From eqn (2),

                                                   =  = 60.406

              The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 4

               Take, a = 7cm, b = 61cm

               From eqn (2),

                                                   =  = 61.40

              The above value is not equal to the values of (65cm ), So its not an sides of right triangle.

                 Alternative : 5

               Take, a = 11cm, b = 54cm

               From eqn (2),

                                                   =  = 55.1089

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.      

                Alternative : 6

               Take, a = 11cm, b = 60cm

               From eqn (2),

                                                  =  = 61

              The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.

Step:2

            Check for solution,

                                     

                                           

Result:

            The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.                

Step-by-step explanation: The side lengths of a right triangle is 11cm, 60cm and 61cm.


Related Questions

What is the probability that the first marble is blue and the second marble is yellow?

Answers

Answer:

[tex]\frac{1}{14}[/tex]

Step-by-step explanation:

First time drawing:

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Second time drawing (with no replacement):

Total outcome is 7  (8 - 1 = 7)  

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

[tex]\frac{2}{7}[/tex]

The probability that the first marble is blue and the second marble is yellow is [tex]\frac{1}{4}[/tex] × [tex]\frac{2}{7}[/tex] = [tex]\frac{2}{28}[/tex] = [tex]\frac{1}{14}[/tex]

Factor x^2+8x+15
Show work with attachment

Answers

Answer:

heres how to solve it

Step-by-step explanation:

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate. Do not round your intermediate computations, and round your answer to three decimal places.

Answers

Complete question:

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.

Answer:

[tex]P(x = 4) = 0.1376[/tex]

Step-by-step explanation:

Given

[tex]n = 9[/tex]

[tex]p = 63\%[/tex] --- proportion that germinates

[tex]p = 0.63[/tex]

Required

P(x = 4)

This question follows a binomial distribution:

[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]

When x = 4;

[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]

[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]

[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]

[tex]P(x = 4) = 0.13763895392[/tex]

[tex]P(x = 4) = 0.1376[/tex]

jacob has 10p 20 p and 50 p coins one quater of the coins
is 50 p with a total of 3.00 the ratio of 10 p to 20p is 2 : 7 how much money does jacob have

Answers

Answer: 7 20

Step-by-step explanation:

Let x = number of 20p coins

10+50+20x=200        10p + 50p + x(20p) = 200p    (100p=1 pound)

60 + 20x = 200

subtract 60 from each side

20x=140

divide both sides by 20

x=140/20=14/2=7

x=7  James has 7 20p coins

How many times does 1/2 go into 1 1/4

Answers

Answer:

twice

Step-by-step explanation:

1/2 x 2 = 1

then you have a leftover 1/4

1 1/4 =5/4

So

(5/4) * (2/1)

10/4 = 5/2 =2 + 1/2 times
:)

A certain ball bearing is made of a grade of steel with a density of 4.5 ounces per cubic inch. The ball bearing is a solid sphere with a diameter of 3 inches.

What is the total weight of the ball bearing, in ounces? Use 3.14 for π .

A. 63.585 ounces

B. 127.17 ounces

C. 190.755 ounces

D. 508.68 ounces

Answers

Answer:

Answer A dûmb asš got me wrong

Step-by-step explanation:

write a equation for each line

Answers

Answer:

Line l: y=4

Line m: y=-2x+4

Line n: y=x-1

Line p: x=-4

Hope this helps!

Help plz I’ll mark brainliest

Answers

Answer:

C

Step-by-step explanation:

There is absolutely no correlation between class size and number of absences.

Lin’s mom bikes at a constant speed of 12 miles per hour. Lin walks at a constant speed 1/3 of the speed her mom bikes. What is the slope of each line?

Answers

Answer:

5/7

Step-by-step explanation:

Pls someone help me with this question pls

Answers

Yo im sorry but I can’t help I’m jus trying to answer questions so I can ask them

2  is 1 of 6 numbers on each side 1/6

Since its 3 rolls youd multiply it by 3

1/6x3 would be 3/18

Answer: The Probability of rolling a 2 on 3 throws would be 3/18

plz, help me with this plz!!!

Answers

Answer:

You need common denominators

Step-by-step explanation:

Because you need to have the same number on the bottom in order to correctly add/ subtract the fractions.

HELP PLEASE DUE IN 4 MINUTES

Answers

Answer: 500 were sold for the carousel

Step-by-step explanation:

If each ticket is then multiply 100x5 which is 500.

Answer:

the answer is 475

Step-by-step explanation:

because you have 4 full dots and a dot that is 3/4 full one dot is 100 tickets so the 4 full dots

saungelique3 avatar

= 400 and the dot that is 3/4 full is 75

saungelique3 avatar

this is because 3/4 of 100 is 75

saungelique3 avatar

400+75=475

Kyle has 800 in his bank account before the holiday season he is going to buy gift cards of the same amount for 5 family members what is the most he can spend on each gift card if Kyle needs to have at least 500$ left in his account at the end of the season write an inequality for this situation

Answers

Answer:

look it up on the internet.

Step-by-step explanation:

The data is shown below:
91, 48, 86, 49, 77, 86, 64, 78
What is the median?

a. 72.37
b. 74
c. 86

Answers

Answer:  72

Step-by-step explanation: Its in the middle

Answer all these pleasep

Answers

Answer:

ee flamingo

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Consider the situations.
i. The value of an investment increases by $30 every year.
ii. The value of an investment decreases by 10% every year.
In which situation(s) is (are) the investment(s) changing at a constant rate?
both i and ii
only i
only ii
neither i norii

Answers

Only i.

If the value is changing by a certain dollar amount every year, this means it is a constant rate of change. If it is changing by a certain percentage every year, this means it is changing at a non uniform, specifically exponential, rate.

het opt-shirt made of 50 cotton 50polyester so what does percent mean ​

Answers

50% cotton 50% polyester
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16 of 20
My father wants to buy a washing machine that
costs $8580. But he has only $7560. How much
more money does he need?
O
1012
1020​

Answers

Answer:

1020

Step-by-step explanation:

8580 - 7560

=1020

hope it helps

3. What is the difference of a number and 10?

Answers

Answer:

the difference between a number and 10 simply means ,that number minus 10

hope it helps. please do me a favor and Mark me Brainleist please please please please please please please please please please please please please please please please please please please please.

Identify all the acute angles in the figure.

Answers

Qvr, Qvs, Svt, Rvs, Tvu, that should be all of them
Acute angle is an angle under 90 degrees

please write an equation of a line in slope-intercept form with the given slope and y-intercept.

A. slope: -6, y-intercept: -2

B. slope: 1, y-intercept: -12​

Answers

Answer: A. y = -6x - 2
B. y = x - 12

Explanation:
Slope intercept form: y = mx + b
m = slope
b = y-intercept

I would appreciate the brainliest if this was helpful and correct! :)
Its a because it make the most sense

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip.
Write and solve an equation which can be used to determine z, the number of miles
in the taxi ride

Answers

Answer: 2.90 + 1.75z = 44.90
z = 24 miles
Steps:
2.90 + 1.75z = 44.90
1.75z = 44.90 - 2.90
1.75z = 42
z = 42/1.75
z = 24

Check:
2.90 + 1.75z = 44.90
2.90 + 1.75(24) = 44.90
2.90 + 42 = 44.90
44.90 = 45.90 ✅

I would appreciate the brainliest if this was helpful correct and had clear steps! :)

The first thing we need to do is to find the linear equation that defines the total cost of the taxi ride as a function of the number of miles traveled.

We will find that z = 24.

We know that the taxi charges a fixed fee of $2.90, plus $1.75 per mile.

So if you travel for z miles, the total cost will be:

[tex]c(z) = \$2.90 + \$1.75 \cdot z[/tex]

Now that we have this linear equation if we know that the total fare was $44.90, then we have:

[tex]c(z) = \$2.90 + \$1.75 \cdot z = \$44.90[/tex]

Now we just need to solve the above equation for z:

[tex]\$2.90 + \$1.75 \cdot z = \$44.90\\\\\$1.75 \cdot z = \$44.90 - \$2.90 = \$42.00\\\\z = \$42.00/\$1.75 = 24[/tex]

Then we can see that she traveled for 24 miles.

If you want to learn more, you can read:

https://brainly.com/question/19770987

plsss help me answer this question !!!!

Answers

Answer:

what's your question???

3x+12 greatest common factors

Answers

Answer:

The common factors for 3,12 are −3,−1,1,3 - 3 , - 1 , 1 , 3 .

Step-by-step explanation:

You ride your bike to the park to meet your friend. The park is 75/100 of a mile away from your house. You ride your bike for 2/10 of a mile before you come to a steep hill. Then you walk your bike 1/10 to the top of the hill. When you get to the top of the hill, you can see the park up ahead. How far could you be away from the park when you are at the top of the hill? ​

Answers

Answer:

The answer is 0.45

Step-by-step explanation:

0.75-0.1-0.2=0.45

2+2 >:) so complicated

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 and thank u or the free points

Step-by-step explanation:

Find the volume. Show your work. Please help if you don’t know the answer dw

Answers

Answer:

1008 cubic feet

Step-by-step explanation:

12 ft x 12ft x 7ft= 1008

12 is the height and length and 7 is the width, when you multiply these 3 things you will find the volume.  

is the answer a b or c

Answers

Answer:

∠Z & ∠K

Step-by-step explanation:

in a school of 40 students 10% are boys. How many boys are there

Answers

Answer:

4boys

Step-by-step explanation:

40 of 10% 40×10/100 =4 remember percentage is always over 100

Which equation would we use to figure out this problem? Rachael
started off with $400 in her savings account in 2005. It earns 3% interest
each year. She wants to know how much money she'll have in the account
in 2022.

Answers

Answer:

She'll have $661 in the account in 2022.

Step-by-step explanation:

Compound interest:

The amount of money earned in compound interest after t years is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Rachael started off with $400. It earns 3% interest each year.

This means that [tex]A(0) = 400, r = 0.03[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 400(1+0.03)^t[/tex]

[tex]A(t) = 400(1.03)^t[/tex]

She wants to know how much money she'll have in the account in 2022.

17 years after 2005, which means that this is A(17). So

[tex]A(17) = 400(1.03)^{17} = 661[/tex]

She'll have $661 in the account in 2022.

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