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
klemol [59]
2 years ago
10

Which equations can be used to find the lengths of the

Mathematics
1 answer:
Murrr4er [49]2 years ago
4 0

Answer:

0.5(x)(x + 2) = 24 (A)

x² + 2x – 48 = 0 (D)

x² + (x + 2)² = 100 (E)

Question:

A question related to this found at brainly (ID:4482275) is stated below.

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply.

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 24

Step-by-step explanation:

Find attached the diagram.

Area of triangle = ½ × base × height

= 0.5×b×h

base= x ft

Height = (x+2) ft

Area = 24ft²

24 = 0.5(x)(x+2)

0.5(x)(x + 2) = 24 (A)

The equations that can be used to find the lengths of the legs of the triangle must be equivalent to 0.5(x)(x + 2) = 24

On expanding this: 0.5(x)(x + 2) = 24

0.5(x²+2x) = 24

b) x(x + 2) = 24

x(x + 2) is not equal to 0.5(x²+2x)

c) x² + 2x – 24 = 0

0.5(x²+2x) = 24

0.5x²+x - 24 = 0 is not equal to x²+2x- 24 = 0

d) x² + 2x – 48 = 0

0.5(x)(x + 2) = 24

½(x)(x + 2) = 24

x² + 2x = 2(24)

x² + 2x – 48 = 0

Correct option (D)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x = 96

2(x² + 2x +48)= 0

x² + 2x +48 = 0 is equal to 0.5(x²+2x) = 24

Correct (E)

You might be interested in
3200 dollars is placed in an account with an annual interest rate of 8.25%. To the nearest tenth of a year, how long will it tak
Whitepunk [10]

Answer:

24.2 years

Step-by-step explanation:

The basic formula is I = P * i * t, where I is interest, P is total principal (or profit), i is rate of interest per year, and t is total time in years. I = P * i * t can be rearranged to solve for t: t = I / (i * p).

In this question I = $6400, P = $3200 and i = 8.25%, so we plug in those numbers to get t = 6400 / (0.0825 * 3200), which solves to 24.2424 years.

3 0
3 years ago
Anyone know the answer to this?
Mila [183]
First one is 114
second one is 215.2

let me know if this doesn’t work :)
7 0
3 years ago
What is the product of 1/3 and 20.5?
tia_tia [17]

Answer:

6.83333333333 (repeated)

Step-by-step explanation:

1/3 x 20.5= 6.83333333333...

5 0
2 years ago
Read 2 more answers
Find the common ratio of the sequence. 3, 9, 27, 81, . . .
mrs_skeptik [129]
The answer to this question is D.
5 0
3 years ago
You and your friend mix water and cirtic acid. You add 3 cups of citrtic acid for every 16 cups of water Your friend adds 2 cups
Vlad [161]

Answer:

A's mixture is more acidic.

Step-by-step explanation:

Given:

Two friends mix water and citric acid.

One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.

Now, we have to find that whose mixture is more acidic means:-

Solution:

A add 3 cups of citric acid for every 16 cups of water, the ratio = \frac{3}{16}

B adds 2 cups of citric acid for every 12 cups of water = \frac{2}{12}

Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.

LCM of 16 and 12:- <u>48</u>

16 - 16, 32, <u>48</u>, 64, 80, 96....

12 - 12, 24, 36, <u>48, </u>60, 72.......

For friend A - \frac{3\times3}{16\times3} =\frac{9}{48}

For friend B - \frac{2\times4}{12\times4} =\frac{8}{48}

<em>We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and</em> hence friend A's mixture is more acidic.

4 0
3 years ago
Other questions:
  • Solve sin4x cosx-sinx cos4x = sqrt(2)/2 for [0, 2pi)
    6·1 answer
  • How many centimeters are in 740.2
    12·2 answers
  • Three times a certain number is 45. What is the number?
    10·1 answer
  • Several properties are used to evaluate this expression. Identify the property used in each step.
    15·1 answer
  • What are all of the real solutions of the equation
    10·1 answer
  • Which equation can be used to find the volume of the right rectangular prisms
    15·2 answers
  • Given: △DKS, m∠K = 90°<br> Find: m∠DOS
    11·1 answer
  • What is the answer for 136.9 divided by .77 showing work
    9·2 answers
  • Which expression is equivalent to 80 ?<br> O 42.5<br> o<br> 24.5<br> O v2.2.5<br> 0122. 122. 152
    15·2 answers
  • The smallest composite number that can be written as a product of 4 different prime number are
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!