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
seropon [69]
3 years ago
10

The length of the diagonal of a rectangle is √181 inches. ​ ​Which statement describes the length of the diagonal?

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

The correct option is (B).

Step-by-step explanation:

The length of the diagonal of a rectangle is \sqrt{181} inches.

Compute the value of \sqrt{181} inches as follows:

The number 181 is not a square of a whole number.

So, the square root of 181 must lie between two whole numbers.

Consider the following squares:

12^{2}=144

13^{2}=169

14^{2}=196

It is quite clear that the 181 lies between the square of 13 and 14.

So, it can be said that the square root of 181 is between the square of 13 and 14.

Thus, the length of the diagonal of a rectangle is between 13 and 14 inches.

The correct option is (B).

You might be interested in
A truck and a car go at the same time against each other from two cities, which are at a distance of 400 km from each other. If
ivann1987 [24]

Answer: after about 96 Minutes

Step-by-step explanation:

7 0
3 years ago
Find the percent of change. Round to the nearest percent.
katovenus [111]

Answer:

<u> -54.5%</u>

Step-by-step explanation:

You will have to use this formula

\frac{new value-oldvalue}{oldvalue}

When substituted in you have \frac{30-66}{66}

30-66=-36

-36/66= -0.54 (54 repeating)

Then you have to convert this into a percentage, -54.54(repeating) percent

To the nearest hundredth you would round down to<u> -54.5%</u>.

It is a Decrease because it is negatated.

8 0
3 years ago
Which of the following expressions is equal to 3x^2 + 27
Kisachek [45]
Factor: 
3x^2 + 27
= 3(x^2  + 9)
Answer is 3(x^2 + 9), when factored.


A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2



B) (3x - 9i)(x + 3i)
= (3x +  - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2


C) (3x - 6i)(x + 21i)
= (3x +  - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
=  - 126i^2 + 57ix + 3x^2






D) (3x - 9i)(x - 3i)
=  (3x +   - 9)(x +  - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x









Hope that helps!!!

8 0
3 years ago
Read 2 more answers
What property is demonstrated by 6 + -6 = 0?
Marianna [84]

Community property of addition because -6 + 6 would equal zero

3 0
3 years ago
Kayleigh babysat for 11 hours this week that was 5 fewer than 2/3 as manyas she baby sat last week, h write an equation to repre
mars1129 [50]

Answer:

10.5 hours

Step-by-step explanation:

To find the number of hours she babysat last week subtract 5 from 11 which is 7 hours. 7 hours is equal to 2/3 of the many hours. If she babysat h hours last week then solve for h using 2/3 h = 7.

Solve the equation by multiplying each side by the reciprocal.

3/2 * 2/3h = 7*3/2

h = 21/2

h = 10.5 hours

3 0
3 years ago
Other questions:
  • X-treme Sports has skateboards at a 24% discount. Find the sale price of a $384 skateboard using percent paid.
    5·1 answer
  • For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What
    13·2 answers
  • How do you do these problems?
    7·1 answer
  • One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. How much does on
    5·1 answer
  • Find the slope of the line 2y=42-6x
    13·2 answers
  • Classify the following triangle. Check all that apply.
    10·1 answer
  • What is the solution set for the equation (x+3)(x-8)=0
    9·1 answer
  • Simplify:<br> - (8 – x)
    15·1 answer
  • 5. Write 2/3 and 3/4 as equivalent fractions using a common denominator.​
    6·2 answers
  • The linear equation y=mx+b contains the point (-5, 5) and is perpendicular to the line 5x+25y=11.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!