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
il63 [147K]
3 years ago
8

The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified ra

dical form.
Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

You might be interested in
After spending 30% of her salary Sara was able to deposit $120 in the bank. What is her salary?
Katena32 [7]

Answer: $400

Step-by-step explanation:

So first you set it up in a equation. You put the amount she put in the bank over x (the x represents her full salary) which equals the percent she already spent over her full salary. That would be 120/x=30/100 you would then cross-multiply to get 12,000 = 30x. you then divide 30 from both sides to get x =400.

3 0
3 years ago
What is 90,000,000,000 in word format
My name is Ann [436]
The answer I believe would be ninety millionth
4 0
3 years ago
Read 2 more answers
How many hours is between 9:30pm to 8:15am
faltersainse [42]
There are 10 hours and 45 minutes between 9:30 pm and 8:15am. We can figure this out by counting the hours in between 9:30pm and 8:15am. You would stop at 7:30 am to get 11 hours but 7:30 is not 8:15 is it? So we would need to figure out the additional minutes that we need by first adding 30 minutes to get to 8:00 then another 15 to get to 8:15. When added, 30 plus 15 equals 45.
To conclude, 9:30 pm and 8:15am are 11 hours and 45 minutes apart.
I hope this helped! :-)
7 0
3 years ago
Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 fo
Alexeev081 [22]
X represents the price of the snack Hanna buys after each school day.
4 0
3 years ago
Read 2 more answers
Salid bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If salid paid with a
ch4aika [34]
To work this out, you have to figure out how much Salid paid. This equals $61.25 as you have to multiply the cost and how much he wanted. Next, you have to subtract this from $100. This equals $38.75 (answer)
I hope this helped!! :))
4 0
3 years ago
Other questions:
  • What is the slope of the line passing through the points (−3, 4) and (4, −1)?
    5·1 answer
  • "At an ice cream shop, customers pay $3.00 for a medium ice cream plus $0.75 per topping. At a second ice cream shop, customers
    9·1 answer
  • Which is less, 3 or 30? Explain how you know
    13·2 answers
  • Shana has three black pens, two red pens, and four blue pens in her book bag. Shana randomly chooses a pen from her book bag wit
    9·1 answer
  • A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel
    6·1 answer
  • Which inequality does the graph represent?<br>1. x&gt;17<br>2.x&lt;17<br>3.x&lt;_17<br>4.x&gt;_17​
    9·2 answers
  • If you knew that two angles were comlementary and were given the measure of one of those angles, would you be able to find the m
    8·2 answers
  • Jose paid $45.59 including 7% sales tax for a video game. What was the original price of the video game Jose purchased? Round to
    8·1 answer
  • Troy has a price chart below for various ingredients he needs to order for his sandwich bar. Sandwich Ingredients Item Cost (per
    5·2 answers
  • Apply the rule (-x, y - 2) to the following point, what is the result?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!