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
antoniya [11.8K]
3 years ago
14

What is the length of the diagonal of the rectangle?

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

9514 1404 393

Answer:

  21.25

Step-by-step explanation:

The Pythagorean theorem tells you the length of hypotenuse c of a right triangle with legs 'a' and 'b' is ...

  c = √(a² +b²)

Here, that means the diagonal length d is ...

  d = √(17² +12.75²) = √(289 +162.5625) = √451.5625

  d = 21.25 . . . . length of the diagonal

You might be interested in
A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500
Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking,\frac{d(w)}{dt} = 3 ft/sec

Rate at which the man is walking,\frac{d(m)}{dt} = 2 ft/sec

Collective rate of both, \frac{d(m+w)}{dt} = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min  = 20 min

Now,

Distance traveled by man and woman are m and w ft respectively.

⇒ m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft

⇒ w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\  ft

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate \frac{dh}{dt} .

Lets calculate h.

Applying Pythagoras formula.

⇒ h^2=(m+w)^2+500^2  

⇒ h=\sqrt{(2400+2700)^2+500^2} = 5124.45

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ h^2=(m+w)^2+500^2

⇒ 2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt}  + \frac{d(500)}{dt}

⇒ \frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}                         ...as \frac{d(500)}{dt}= 0

⇒ Plugging the values.

⇒ \frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}                       ...as \frac{d(m+w)}{dt} = 5 ft/sec

⇒ \frac{d(h)}{dt} =4.9761  ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0
3 years ago
James earned $361.36 for working last week and $347.85 for working this week. What was the total amount he earned?
Svetach [21]
$709.21
$361.36 for week one + $347.85 for week two = $709.21 total for both weeks
3 0
3 years ago
Translate the sentence into an inequality.<br><br> The sum of 7 and w is greater than 21.<br><br> ?
Alexeev081 [22]

Answer:

7+w \ge 21

remove the line under the arrow

7 0
2 years ago
Read 2 more answers
Laura just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in jus
svp [43]
So you have 85 pages and 10 days.
You would do 85/10 to get 8.5 pages each day. Hope that’s right !
5 0
2 years ago
What is the answer to the equation -(-(-(-2)))
marysya [2.9K]

Answer:

2

Step-by-step explanation:

Since there are four negative signs, we have -1 multiplying each other 4 times,  multiplying by positive 2. This is then 1 * 2, which is 2.

7 0
4 years ago
Read 2 more answers
Other questions:
  • In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ra
    13·1 answer
  • Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her bank ac
    11·2 answers
  • How many does 40 go into 100
    12·2 answers
  • mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that rate how much would he pay for an item that cost $5
    6·1 answer
  • What is the least number of 4 digits which is divided by 12 ,15,20 and 35?
    9·2 answers
  • please answer this question with all blanks not just one if you don't fill all ill report your answer so i can actually get the
    12·1 answer
  • What does it take to get some Brainliest on here? I just need 5
    6·2 answers
  • Question 25 Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its widt
    6·1 answer
  • Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9
    5·1 answer
  • andy wants to make a screen saver for his new computer. the screen is 32 inches long by 18 inches wide. what is the area of the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!