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
Kipish [7]
3 years ago
5

The length of the hypotenuse of a right triangle is 14 inches. If the length of one leg is 6 inches, what is the approximate len

gth of the other leg?
11.5 inches

12.6 inches

15.2 inches

20.0 inches
Mathematics
2 answers:
Mice21 [21]3 years ago
8 0
In this question, you need to use Pythagoras' Theorem, c^2 - b^2 = a^2. In this case, C is 14 and B is 6, so you would do 14^2 - 6^2 = 196 - 36 = 160, and the approximate square root of 160 is 12.6 inches, which is your answer.

I hope this helps!
amm18123 years ago
8 0

Answer:

12.6 inches

Step-by-step explanation:

We only need to apply Pythagoras theorem to solve this problem.

Pythagoras theorem state that in a right-angle triangle,

opposite² + adjacent²  = hypotenuse²

From the question hypotenuse = 14 inches

one of the leg, lets say adjacent = 6 inches

Let x be the length of the other leg.

We can now proceed to insert our values into the formula;

opposite² + adjacent²  = hypotenuse²

         x²    +      6²           = 14²

         x²   +   36   = 196

Subtract 36 from both-side of the equation

x²   +  36  - 36   = 196 -  36

x²   =  160

Take the square root of both-side to get the value of x

√x²   =  √160

x = 12.649

x≈12.6

Therefore the approximate length of the other leg is 12.6 inches

You might be interested in
Michael is 12 years older than Brandon. Seventeen years ago, Michael was 4 times as old as Brandon.
4vir4ik [10]

Answer:

21 yrs old

Step-by-step explanation:

m= michael age

b=Brandon age

m=b+12

m-17=4(b-17)= 4b-68 --»»m = 4b -51

//put b+12 instead m// b+12=4b-51

3b=63 --»»b=21

Brandon age is 21

Michael age is 33

3 0
3 years ago
Read 2 more answers
Please helpp!
Kitty [74]

Answer:

it may be B but I think it's C

Step-by-step explanation:

not sure if this is right, but I would say not congruent. it may be sas but in order for it to be sas then the Angle must be in-between the two congruent sides

5 0
2 years ago
3. In the figure below, find the values of x, y, and z.
Murrr4er [49]

Answer:

z= 13

x= 36

y= 18

Step-by-step explanation:

Solving for z.

We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.

We can set both of those angles equal to each other, and solve for our missing side, z.

108= 8z+4

104=8z

z= 13

Solving for x.

We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.

We can set both of these angles equal to each other, and solve for our missing side, x.

3x=108

x= 36

Solve for y.

We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.

4y+108=180

4y= 72

y= 18

3 0
2 years ago
Solve for x: 3-(2x-5)<-4(x+2)
andriy [413]
3-(2x-5)<-4(x+2)

8-2x<-8-4x

16<-2x

-8 > x. or equivalently x<-8
3 0
3 years ago
What is an equation of the line that passes through the point (2,−6) and is parallel to the line x-2y=8
lana [24]

Answer:

y=\frac{1}{2}x-7, or x-2y=14

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8

First, we need to find the slope of x-2y=8, since parallel lines have the same slopes

We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line

Start by subtracting x from both sides

-2y=-x+8

Divide both sides by -2

y=\frac{1}{2}x-4

The slope of the line x-2y=8 is 1/2

It's also the slope of the line parallel to it.

Since we know the slope of the line, we can plug it into the equation for slope intercept form:

y=\frac{1}{2}x+b

Now we need to find b.

As the equation of the line passes through (2, -6), we can use it to help solve for b

Substitute -6 as y and 2 as x:

-6=\frac{1}{2}(2)+b

Multiply

-6=1+b

Subtract 1 from both sides

-7=b

Substitute -7 as b into the equation:

y=\frac{1}{2}x-7

The equation can be left as that, or you can convert it into standard form if you wish.

In that case, you will need to move 1/2x to the other side:

-\frac{1}{2}x+y=-7

A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).

So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a

x-2y=14

Hope this helps!

8 0
3 years ago
Other questions:
  • Two cables were attached to the top of a pole and anchored to the ground on opposite sides of the pole. What is the length of th
    9·1 answer
  • Jeannie's scores on her first four tests were 80, 65, 87, and 75. What will
    12·1 answer
  • V = <br><br><br><br><br><br> THE PICTURE WILL BE INSERTED
    5·1 answer
  • Four consecutive multiples of 10 have a sum of 300. What is the least of these numbers?
    8·2 answers
  • Solve the equation below for x. <br> 500 = 25e ^ (2x)
    14·1 answer
  • 5. How can you get the variable alone in the equation x + 37 = 94?
    12·1 answer
  • A Broadway musical was attended by a total of 2,838 people, including men, women, and children. The number of women who attended
    8·1 answer
  • Each day she’s swim 720 m.how many kilometers does she swim each day ?
    12·1 answer
  • 3(x+2)=9(6-x) <br><br><br><br><br> Answer please and show your work :D
    11·1 answer
  • Y+7x=3 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!