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
AysviL [449]
3 years ago
5

One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.

Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

One leg - 15 inches

Second leg - 36 inches.

Step-by-step explanation:

One leg - x inches.

Second leg - (x + 21) inches.

Hypotenuse - 39 inches.

Using Pythagorean theorem

x² + (x + 21)² = 39²

x² + x² + 2*21x  + 21² = 39²

2x² + 42x - 39² + 21² = 0

2x² + 42x - 1080 = 0

x² + 21x - 540 = 0

(x - 15)(x + 36) = 0

x = 15, x = - 36

We can use only positive value.

One leg - x inches = 15 inches

Second leg - (x + 21) inches = 15+21=36 inches.

You might be interested in
`6x-2y=6`<br><br> `y=2x+10`<br><br> Solve Using the Substitution Method<br><br> please explain :D
Soloha48 [4]

Answer:

(13; 36)

Step-by-step explanation:

5 0
3 years ago
Constructing a box. From a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by
shtirl [24]

height=x length=20-2(what u cut out)=20-2x width=30-2(what u cut out)=30-2x so v(x)=l*w*h=x(20-2x)(30-2x) b) (0,10)

6 0
4 years ago
What are the coordinates?
Yuki888 [10]

Answer: 2

Step-by-step explanation: (2x-4)

4 0
3 years ago
3х=24<br><br> What is the answer?
Andreas93 [3]

Answer:

x=8

Step-by-step explanation:

x=24/3

therefore, the answer is x=8

8 0
2 years ago
Read 2 more answers
#7 There are 24.5 ounces of uncooked rice in a bulk container. A customer is removing rice from the container at a rate of 3.25
mafiozo [28]

Answer:

(A) 11.5 ounces

Step-by-step explanation:

Multiply 3.25 by 4

3.25 x 4 = 13

Subtract 13 from 24.5

24.5 - 13 = 11.5

= 11.5 ounces

6 0
3 years ago
Other questions:
  • explain how you can use multiplication to find the quotient 3/5 divided by 3/15 then evaluate the expression
    12·1 answer
  • Recall that a test is statistically significant at a particular significance level if the null hypothesis is rejected. If a test
    7·1 answer
  • Luis wants to buy a skateboard that usually sells for $79.80. All merchandise is discounted by 12%. What is the total cost of th
    11·1 answer
  • Gordon read 18 pages of a book in 40 minutes. What was the unit rate per minute? Per hour?
    11·1 answer
  • How many fifths are there in 12 4/5?
    8·2 answers
  • HELP ME WITH 22 PLEASE I WOULD APPRECIATE IT!!!
    5·1 answer
  • Which best describes pie
    7·1 answer
  • SOMEBOODY HELP ME SOLVE THIS PLS!!<br><br> 1.4x-10=5x+15<br> 2.2x+2=2x+2
    15·2 answers
  • Identify the algebraic expression that represents the word phrase "7 less than a number
    14·1 answer
  • The table lists recommended amounts of food to order for 25 guests. Nathan is hosting a graduation party for 40 guests. There wi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!