The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length of the triangle's other leg?


Answers

Answer 1

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)


Related Questions

Find the area of a triangle with a =4, b =6, and c =8.
a. 10.2 units 2
b. 8.4 units 2
C.12.4 units
d. 11.6 units 2

Answers

Answer:

d

Step-by-step explanation:

Given 3 sides of the triangle the area (A) can be calculated using Hero's formula.

A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where s is the semi perimeter of the triangle

s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{4+6+8}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 , thus

A = [tex]\sqrt{9(9-4)(9-6)(9-8)}[/tex]

   = [tex]\sqrt{9(5)(3)(1)}[/tex]

   = [tex]\sqrt{135}[/tex]

   ≈ 11.6 units² → d

3. WEDNESDAY (5/20): The minimum of the graph of a quadratic function is located at (-1,2). The point (2, 2015
also on the parabola. Which function represents this?
a) f(x) = x² + 2x + 3
b) f(x)= x² - 2x+3
c) f(x) = 2x²+4x+4
d) f(x)= 2x²- 4x+4​

Answers

Answer:

C.) f(x) = 2x^2 + 4x + 4

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)^2+k.

Thus, the equation of the parabola is y=a(x+1)^2+2.

To find a, use the fact that the parabola passes through the point (2,20): 20=9a+2.

Solving this equation, we get that a=2.

Thus, the equation of the parabola is y=2(x+1)^2+2.

TO STANDARD FORM

= 2*(x^2+2x+1)+2  

=(2x^2+4x+2)+2  

= 2x^2+4x+2+2  

= 2x^2+4x+4

What term must we add to complete the square on x^2 + 12x


Answers

Answer:

Step-by-step explanation:

You need to first find what x equals before you can solve the equation.

Answer:

36

Step-by-step explanation:

x^2+2xy+y^2

12x/2x=6=y

y^2=36

If A = (-1,-3) and B = (11,-8), what is the length of AB?
O A. 12 units
OB. 14 units
C. 11 units
O D. 13 units

Answers

Answer:

the answer to this question is D. 13 units.

Step-by-step explanation:

for this problem you use the distance formula

d equals the square root of (the second x minus the first x and rise all to.the second power minus the second y minus the first y that is rised to the second power too)


a. How many groups of 6 erasers can be formed from the 18 erasers? Explain.
b. In how many ways can 3 aliens be selected? Explain.
c. In how many ways can 3 aliens and 3 flying saucers be selected? Explain.
d. What is the probability that 3 aliens and 3 flying saucers will be selected? Explain.
in​

Answers

Answer:

Step-by-step explanation:

Answer:

1.3  groups beucae 18/6=3.

b.???

c.what

d. ru serious

Step-by-step explanation:

What is the completely factored form of f(x)= x^3 -2x^2-5x+6?

Answers

Answer:The answer is X^2(x+5) +2(2x+3)

Step-by-step explanation: give the equation f(x)=x^3+5x^2+4x-6

Factoring out the common items we have

=X^2(x+5) +2(2x+3)

1: which equation represents a linear function? a y= 4 x +1 b y=x2+2 c y=3 √ x+1 d y=- 2 3 x- 1 2​

Answers

Answer: A

Step-by-step explanation:

a.) [tex]y=4x+1[/tex]

b.)[tex]y=x^2+2[/tex]

c.)[tex]y=3\sqrt{x+1}[/tex]

d.)[tex]y=-2(3x-1)^2[/tex]

choices b and d are quadratic

choice c is a square root function

so the answer is a

let me know if i types the answers incorrectly

A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.

Answers

Answer:no the answer is 0.045 m3

0, point, 045, start text, space, m, end text, cubed

Step-by-step explanation:

what is 7/4 - (-1/4)

Answers

Answer:

2

Step-by-step explanation:

7/4 - (-1/4)

Subtracting a negative is adding

7/4 + 1/4

8/4

Simplifying

2

How does the graph change between point A and point C?
D
The graph increases, then decreases.
The graph decreases, then remains constant
The graph decreases, then increases.
The graph increases, then remains constant

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got 100% on a quiz

FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

fav singer??

I like XXXTentacion and Trippie Redd

Answers

Answer:

Samee

Step-by-step explanation:

Answer:

TIAGZ

and Billie Eilish

DABABY

Step-by-step explanation:

probability spinning a 6 and flipping tails

Answers

Answer:

Probability of spinning a six, and I'm guessing on a spinner with six numbers would be 1 and 6, 1:6, or 1/6. Flipping tails would be 1 and 2, 1:2, or 1/2

Step-by-step explanation:

WILL GIVE BRAINLIEST PLEASE HELP!

Answers

Answer:

A. is 5. B. is 1.C. is 4.D. is 2.E. is 3.F. is 6.

Step-by-step explanation:

Slope is rise over run.

For example, 2 is equivalent to 2/2 so you find the graph that has a point at (2, 2).

Hope this helps :D

`Can anyone help me with this? Im confused oof-
Which figure cannot be made by slicing through a cube?
Select two answers.
A.
a square
B.an octagon
C.a decagon
D.a rectangle
E.a triangle

Answers

Answer:

triangle decagon

Step-by-step explanation:

easy bro

Answer:

b and c

Step-by-step explanation:

not enough sides on the cube for these two to work

Natalie has $250 in savings. At the end of 6 months, she has $450 in savings. What is the percent increase in the amount of her savings?

Answers

80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%

Answer: 80%

Step-by-step explanation:

Rule of 3.

Let's put the money on the left side and the percents on the right side.

[tex]\frac{250}{450}=\frac{100}{x}[/tex]

Solve for x:

[tex]x=\frac{450*100}{250}[/tex]

[tex]x=180[/tex]

Subtract 100 from 180

180-100=80

Which solution is possible: 7+x <19
x=4
x=12
x=13
x=19
Other:

Answers

Answer:

x = 4

Step-by-step explanation:

Note that it is only less than, not less than or equal too. Numbers that are 11 & less are the only ones that work.

x = 4 is your only answer choice that is less than 11, therefore is your only answer.

~

Answer:

none of the above, you need a lesser number

99g in the ratio 5:2:4

Answers

Answer:

45:18:36

Step-by-step explanation:

[tex]99 = 5x +2x+4x\\99=11x\\x=9\\[/tex]

substitute x back into 5x:2x:4x

Therefore, 99 in the ratio of 5:2:4...

45:18:36

pls help would mean alott if you can!
due rnnnn

Answers

Answer:

4,000

Step-by-step explanation:

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.

What is the probability that the sequence is guessed on the first try?

StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third

Answers

Answer:

1/24

Step-by-step explanation:

i just took it

The probability that the sequence is guessed on the first try is 1/24.

Probability

Total colors available for making code=4

Colors required for making code=3

Hence:

Total ways of making code=4p3=4!/(4-3)!

=4×3×2×1/1

=24

Probability that the sequence is guessed on the first try=1/Total ways of making code

Probability that the sequence is guessed on the first try=1/24

Therefore the correct option is A.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ9

Which is the same as diving a number by 10?

Answers

Answer:

Step-by-step explanation:

well i guess if the decimal is on the left you would move it to the right twice

because if you only moved it once it'd become 1.0

and if you moved it to the left once it would also become 1.0

and if you moved it twice to the left you would be left with .10

pls mark me brainliest

3. You want to standardize a new recipe for Chicken Alfredo. The old recipe that you have been using yields 40 servings and you would like the new yield to be 150 servings. What is the conversion factor? Use the conversion factor to determine how much chicken is needed, if the old recipe called for 8 pounds. Show your work

Answers

If the original receipe requires 8 pounds and yields 40 serving, and we need to up it to 150:

40/150=8/x

Cross multiply:

40x=150x8

40x= 1200

X= 30 pounds of chicken

6-129. Nick represented the equation 3(2x+4)=-6 on the Equation Mat below. Choose a strategy to solve for x. You may continue to use algebra tiles, or you may use symbols on paper.

Answers

Answer:

x = -3

Step-by-step explanation:

You have the following equation:

[tex]3(2x+4)=-6\\[/tex]

you first you distribution property in order to eliminate the parenthesis:

[tex]3*2x+3*4=-6\\\\6x+12=-6[/tex]

next, you subtract 12 in both sides of the equation:

[tex]6x+12-12=-6-12\\\\6x=-18[/tex]

Finally, you divide the equation by 6 and simplify:

[tex]\frac{6x}{6}=-\frac{18}{6}\\\\x=-3[/tex]

hence, the solution to the equation is x = -3

what would be 2 + 7x + 3 − 5x − 1 = ______ plz help

Answers

B :)))))))))))))))))))))))))))))))))))))))))))))((

Answer:

4 +2x

2(2+x)

Step-by-step explanation:

2 + 7x + 3 − 5x − 1

Combine like terms

2+3-1   +7x-5x

4 +2x

We could also factor out a 2

2(2+x)

Cross multiplication method, find the value z and y for 3x + 5y = 70 and 7x-3y =60

Answers

Answer:

Y=7.05

X= 11.6

Step-by-step explanation:

Equate both equations to zero

3x+5y=70--------equation 1

7x-3y=60---------equation 2

From the equation above

a1=3, b1=5, c1=-70

a2=7, b2= -3, c2=-60

By applying the cross multiplication method

x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1

x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)

x/-300-(-210)=y/-490-(-180)=1/-9(-35)

x/-510=y/-310=1/-44

x/-510=1/-44 , y/-310=1/-44

-44x=-510 , -44y= -310

x=11.6 , y=7.05

Thus, the value of x is 11.6 and the value of y is 7.05

A cone with height of 6 feet and volume of 86 feet cubed.
Answer the questions to find the base area of the cone.

Which equation substitutes the given values into the formula for the corresponding variables

Answers

Answer:

The formula is 86=1/3B (6)

The base area is 43.00 square feet

Step-by-step explanation:

V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation

Solving equation

86=(1/3) B(6)

Divide 6 by 1/3

(3/1) 1/3 = 6 (3/1)

86 = 2pi *

43.00 square feet

Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;

Answer:

both of the answers are C

Step-by-step explanation:

Johnny had a math test and he started at 2:18 p.M. It took 75 minutes to complete the test. He had a dentist's appointment at 4:30 p.M. How much time, in minutes, did he have between the end of the test and his appointment time

Answers

Answer:

57 minutes

Step-by-step explanation:

First, add 75 minutes to the time he started the test. Then, subtract the time you get from the time for his dentist appointment.

75 minutes is the same as 1 hour 15 minutes (1 hour = 60 minutes)

  H    M

  2   :  18

+  1   :  15

   3  :  33

He ended the test by 3:33 PM.

 H    M

 4  :  30

- 3  :  33

 0 :  57

Therefore, he had 57 minutes between the end of the test and his appointment.

Please help me I will mark brainliest

Answers

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

[tex]log_{2}x + log_{4}x = 2\\\\log_{2}x + \frac{log_{2}x}{log_{2}4} =2\\\\log_{2}x + \frac{log_{2}x}{2} =2\\\\2log_{2}x + log_{2}x =4\\\\3log_{2}x =4\\\\log_{2}x = \frac{4}{3} \\\\x=2^{\frac{4}{3}}=2^{1+\frac{1}{3} }=2*2^{\frac{1}{3} }=2\sqrt[3]{2}[/tex]

What is the correlation coefficient for the data shown in the table? A1 B -1 C5 D10

Answers

Answer:

What do you mean i need an explaination

Step-by-step explanation:

Answer:

You need to show the table

Step-by-step explanation:

We can't answer without that info

Three is what percent of 600

Answers

Answer:

0.5.

Step-by-step explanation:

Find the area

Please help me thank you!

Answers

Answer:

area = 12

Step-by-step explanation:

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