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
Alenkinab [10]
3 years ago
14

A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

You might be interested in
Which choices are equivalent to the expression below? Check all that apply.
JulsSmile [24]

Answer:5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
How many 4th cups of flour are in 3 3/4 cups
erma4kov [3.2K]

Answer: 12 cups

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Divide £2400 into the ratio 5:7
sergiy2304 [10]

Answer:

£1000, £1400

Step-by-step explanation:

Sum the parts of the ratio 5 + 7 = 12 parts

Divide the amount by 12 to find the value of one part of the ratio.

£2400 ÷ 12 = £200, thus

5 parts = 5 × £200 = £1000

7 parts = 7 × £200 = £1400

7 0
3 years ago
What is the solution to this equation?
padilas [110]

Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10            -10

-3x+8x=    15

5x=15

5x/5=15/5

x=3

6 0
3 years ago
Eric made 3 batches of cupcakes for the bake sale. He needs at least 120 cupcakes for the bake sale. He also plans on giving 20
polet [3.4K]

Answer:

c≥47

Step-by-step explanation:

120+20=140

140/3≈46.667

46.667≈47

Ther can be no less than 47 cupcakes

8 0
3 years ago
Other questions:
  • Subtract the quotient of 15 divided 3 from the sum of 33 and 7
    9·2 answers
  • Is 14 meters greater than or less than 140 centimeters
    8·2 answers
  • Can u help me how to do this
    7·1 answer
  • What are the solutions to the equation (x – 6)(x + 8) = 0?
    15·1 answer
  • Find the surface area of the prism below. Show all of your work clearly.
    8·1 answer
  • 6th grade math I mark as brainliest
    5·2 answers
  • (please help!) <br> What is the length of AD?<br><br> AD=__
    10·1 answer
  • A baker makes 8 apple pies. Each apple pie weighs 6 ounces.
    13·1 answer
  • If x=3,y=-2(negative 2) and z=6,what is 7xyz
    11·2 answers
  • Please help me with this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!