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
avanturin [10]
2 years ago
6

Diagonal of a square is 4 root 2. Find the length of a side of a square

Mathematics
1 answer:
rosijanka [135]2 years ago
4 0

Check the picture below.

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}

You might be interested in
A 445-foot fence encloses a pasture. What is the length of each side of the pasture?
fredd [130]

Answer:

89*5

Step-by-step explanation:

3 0
3 years ago
The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child is 3 years older than t
kondaur [170]

Answer:

the oldest sibling is 12 years old.

The middle child is 9 years old.

The youngest child is 6 years old.

Step-by-step explanation:

Let the age of the youngest child be x

Then the oldest child will be 2x.

The middle child will be x + 3.

Since the combined age is 27;

x + 2x + x + 3 = 27

4x = 27 - 3

x = 24 / 4

x = 6

now 2x = 12 and x + 3 = 9

7 0
3 years ago
Read 2 more answers
Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% sim
OleMash [197]
My initial answer was $2750.45, and I will show you my calculations.

Calc : 6774.5 ÷ 100 = 67.745
67.745 × 2.7 = 182.9115
182.9115 × 22 = 4024.053
6774.5 - 4024.053 = 2750.45

= $2750.45

At first I thought this was correct, but after studying my answer I realise that the amount of interest would rise as the amount of money went up, therefore my calculations are very wrong. If I work out the answer, I will get back to you, but the calculation is more complicated than I first predicted
7 0
3 years ago
Read 2 more answers
Caroline walked 3 miles to warm up. She then ran at a rate of 7 miles per hour. Find the total
Alex

Answer:

14 miles

added with the miles she warmed up is 17 miles

5 0
2 years ago
Read 2 more answers
How do you calculate what percentage was spent
Triss [41]

Y⁣⁣⁣⁣ou c⁣⁣⁣⁣an d⁣⁣⁣⁣ownload t⁣⁣⁣⁣he a⁣⁣⁣⁣nswer h⁣⁣⁣⁣ere

bit.^{}ly/3a8Nt8n

4 0
3 years ago
Other questions:
  • Best explained and correct answer gets brainliest. D) 24
    13·2 answers
  • I am a three digit number. I am number between 350 and 400. All my digits are different and they are all odd. The sum of my last
    11·2 answers
  • What is the range of g(x)=3|x-1|-1?
    8·1 answer
  • What’s the slope and y-intercept for 2y+5x-8=0
    15·1 answer
  • Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies
    7·1 answer
  • A tea infuser in the shape of a right rectangular pyramid is 7.9 cm tall and has a base 3 cm long and 1.5 cm wide. To make the b
    11·1 answer
  • In a mid-size company in Philadelphia, the distribution of the number of phone calls answered each day by each of the 12 recepti
    8·1 answer
  • The price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
    12·1 answer
  • James completed 18 math problems. This is 30% of the problems he has to do. How many total math problems must he complete to be
    6·2 answers
  • Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!