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
anastassius [24]
4 years ago
10

The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenuse

Mathematics
2 answers:
jeka57 [31]4 years ago
6 0
 The formula to find a hypotenuse is as follows:
a^2 + b^2 = c^2
Write out your triangle, labeling one part as 18, and another as 80. Connect a line between the end points of each line, and give a letter to a value. For my example, I will use 18 as a and 80 as b. 
18^2 + 80^2 = c^2
Solve this by squaring these numbers.
324 + 6400 = c^2
Add these numbers
6724 = c^2
 Then, finally, deprive the square root from 6724 and c^2
82 = c
 Since c is you hypotenuse, 82 centimeters is your answer. This checks out because your hypotenuse must be the largest number of the three, and if not, you did something wrong. However, this all checks out, meaning your hypotenuse is 82 centimeters. Hope this helped!
Brilliant_brown [7]4 years ago
4 0
a^2 + b^2 = c^2\\\\18^2 + 80^2 = c^2\\\\6724 = c^2\\\\c = \sqrt{6724}\\\\ c = 82

The hypotenuse is 82 centimeters long.
You might be interested in
Holly wants to monitor her daily calcium intake. One day she had 3 cups of milk and 1 cup of spinach for a total of 1140 mg of c
Liula [17]

Answer:

Calcium in a cup of milk     x  = 330  mg

Calcium in cup of spinach  y  = 150   mg

Step-by-step explanation:

Let call " x "  and  " y "  quantity of calcium ( in mg )  in a cup of milk, and spinach respectively, then according to problem statement we have:

3*x  +  1*y  =  1140          and      2*x  +  2*y  =  960

We have a two equation system, we need to solve for  x   and  y then:

y  =   1140  -  3*x

2*x  +  2 * ( 1140  -  3*x )  =  960

2*x  +  2280  -  6*x   =  960

-4*x  =  -  2280  + 960

-4*x  =  -  1320

x  =  1320 / 4      ⇒   x  = 330 mg

And  y  =  1140 - 3*x

y  =  1140 - 3* 330    ⇒   y  =  1140  - 990   ⇒   y  = 150 mg

5 0
3 years ago
Is this how you get the slope intercept form?
Komok [63]
Slope-intercept form : y = mx + b

3)  y + 4 = x

So, you need to move 4 to the other side, so that y is by itself.

Subtract 4 from both sides.

y = x - 4

~Hope I helped!~
7 0
3 years ago
On Friday a bowling alley made $842.72 from Lane rentals in $412.38 from the concession stand.
Neko [114]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
V125BC [204]

Answer:

  • E. 5.2 seconds

Step-by-step explanation:

Need to find the value of t, when h(t) = 0

  • -16t^2 +64t + 100 = 0
  • 4t^2 - 16t - 25 = 0
  • 4t^2 - 2*2t*4 + 16 = 41
  • (2t - 4)^2 = 41
  • 2t - 4 = √41
  • 2t - 4 = 6.4
  • 2t = 10.4
  • t = 5.2

Answer is 5.2 seconds

4 0
3 years ago
Other questions:
  • A cone has a radius of 11 inches and a height of 4.5 inches. What is the volume of the cone to the nearest tenth in³ ? Use 3.14
    5·1 answer
  • A number that is divisible by 6 is divisible by 3.
    14·2 answers
  • Tammy conducted a survey to find the favorite subject of the students at her school. She asked 25 students from her math class w
    12·1 answer
  • Find the equation of the linear function represented by the table below in slope-
    12·1 answer
  • On average, Chance has noticed that 19 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probabi
    8·1 answer
  • Look at pic<br><br> Time in Weeks<br> Which panda was heavier when they were born?
    12·1 answer
  • There are 50 students in a class three of them will be in a student government, either president, Vice President, or secretary.
    10·1 answer
  • Tara bought s sheets of stickers. There are 5 stickers on each sheet. Write an expression that
    10·1 answer
  • Every month Miss Thomas pays her car loan through automatic payments (withdrawals) from her savings account. she pays the same a
    11·1 answer
  • Which table can be created using the equation below?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!