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
Hunter-Best [27]
3 years ago
10

What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
There is 2 ways to solve this type of question.

Method 1
--------------------------------------------------
Formula
--------------------------------------------------
a² + b² = c²

--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

_____________________________________________________________

Method 2
--------------------------------------------------
Identify the triangle
--------------------------------------------------
This is a special triangle
45° - 45° - 90°

--------------------------------------------------
Property of the Angles 
--------------------------------------------------
x - x - x√2

--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2

Hypotenuse =  (7√2)(√2)
Hypotenuse =  7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

You might be interested in
Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. 36y'' − y = x
viktelen [127]
Try this solution, note, checking was not performed.

5 0
3 years ago
Convert 8pints to cups
ruslelena [56]
The correct answer is 16 cups. Because 8 pints equal 16 cups.

Hope I helped!

- Amber
4 0
3 years ago
Let <img src="https://tex.z-dn.net/?f=sin%5Cbeta%20%3D%5Cfrac%7B2%5Csqrt%5B%5D%7B2%7D%20%7D%7B5%7D%20%5C%5C" id="TexFormula1" ti
Brrunno [24]

Since beta is in the first quadrant, the final answer will be positive.

To find cos(beta) so we can use the half angle identity, we can substitute into the Pythagorean identity. Doing so gives us that

\sin( \beta )  =  \frac{ \sqrt{17} }{5}

So, this means that

\sin( \frac{ \beta }{2} )  =  \sqrt{ \frac{1 -  \frac{ \sqrt{17} }{2} }{2} }  =  \sqrt{ \frac{2 -  \sqrt{17} }{4} }  =  \frac{ \sqrt{2 -  \sqrt{17} } }{2}

3 0
2 years ago
Sonia's class has 24 girls and eight boys. her school has a total enrollment of 860 students. if the school has the same ratio o
AnnyKZ [126]
There is 645 girls and 215 boys
6 0
3 years ago
Pleasssssssseeeeeeee hellllppppppppppp pleasssssssssssseeeeeeee
Alenkasestr [34]
Y=1/5x+3
Hope it helps
5 0
3 years ago
Other questions:
  • How do you solve binomials
    14·1 answer
  • Henry counted 350 lockers in his school. Hayley counted 403 lockers in her school. how does the 3 in 350 compare to the 3 in 403
    7·1 answer
  • A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the
    10·1 answer
  • Can someone help with 2B, please
    9·1 answer
  • Which of the following expressions is equivalent to a(4-a)-5(a+7)
    8·2 answers
  • a train traveled 1/5 of the distance between two cities in 3/4 of an hour ,at this rate what fraction of the distance between tw
    12·2 answers
  • Are buying a drink and buying popcorn independent or dependant events
    13·2 answers
  • A garden table and a bench cost $618 combined. The garden table costs $82 less than the bench. What is the cost of the bench?
    10·2 answers
  • I need help on this question, I can't seem to understand piecewise functions!! ITS SO HARD.​
    12·1 answer
  • Given f(1) = 8 and<br> f(n) = 3 f(n-1) - 2 then f (4) =
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!