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
Umnica [9.8K]
3 years ago
15

A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al

l the possible lengths of the legs?
Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

A=\dfrac{1}{2}\times base\times height

In a right angle triangle, the area of the triangle is

A=\dfrac{1}{2}\times leg_1\times leg_2

Putting A=18 and leg_1=6, we get

18=\dfrac{1}{2}\times 6\times leg_2

18=3\times leg_2

Divide both sides by 3.

\dfrac{18}{3}=leg_2

6=leg_2

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

You might be interested in
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longbo
Alisiya [41]

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

6 0
3 years ago
The area of a rectangular of length L width W is given by the formula A =LW. Ann's backyard is rectangular with a length of 27.6
marta [7]

300.84m^2

First, set up the equation

A=27.6•10.9

Next, multiply(use a calculator)

And you get the answer.

^2 means squared.

3 0
3 years ago
Hellppppppp pleaseeee​
klasskru [66]

Answer: i think it is 680 or 340, but my gut says 680...

Step-by-step explanation: 4 x 10 = 40 x 17 = 680

8 0
3 years ago
Read 2 more answers
The sum of a whole number and twice its square is 21. Find the whole number
I am Lyosha [343]
SOLUTION:

Let whole number = x

x + 2x^2 = 21

2x^2 + x - 21 = 0

2x^2 + 7x - 6x - 21 = 0

x ( 2x + 7 ) - 3 ( 2x + 7 ) = 0

( 2x + 7 ) ( x - 3 ) = 0


2x + 7 = 0

2x = - 7

x = - 7 / 2

OR

x - 3 = 0

x = 3


ANSWER:

Therefore, as 3 is a whole number while - 7 / 2 isn't a whole number, the whole number must be 3.

Hope this helps! :)
Have a lovely day! <3
6 0
3 years ago
Write these equations in y=mx+b form....
nekit [7.7K]
1. y = -1/2 + 2.
2. y= 2/5x - 4/5

6 0
3 years ago
Other questions:
  • The volume of a solid gold statue can be approximated as 1000\text{ cm}^31000 cm 3 1000, space, c, m, start superscript, 3, end
    8·1 answer
  • Randomly selected 50 people from New York city were asked if they use a subway to get to the work place. 40 said “yes”. Based on
    11·1 answer
  • In the diagram shown, the distance between points A and C is the same as the distance between points B and G.
    5·2 answers
  • Suppose that a fair, 6 sided die is rolled. Let X indicate the event that an even number is rolled (in other words, X = 1 if an
    5·1 answer
  • A new savings account is opened with $300 and gains 3.1% yearly for 5 years
    13·1 answer
  • Describe 21 hundred using different words​
    5·1 answer
  • What is the exact distance between points A and B?
    6·2 answers
  • I need help what is the surface area of the triangular pyramid in the figure?
    6·1 answer
  • Find the area-of the shaded region. help i have a test
    9·1 answer
  • Sandeep visited Green Glen Apple Orchard yesterday. He picked a basket of fresh apples in the field. He also got 3 pounds of pre
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!