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
natima [27]
2 years ago
14

The area of a square is 32 cm. find the length of the diagonal

Mathematics
2 answers:
Over [174]2 years ago
4 0

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

iogann1982 [59]2 years ago
4 0

Answer:

The length of the diagonal is 8 cm.

Step-by-step explanation:

The side length of the square is √32 cms.

The diagonal divide the square into 2 congruent right triangles.

We use Pythagoras Theorem here:

d^2 = (√32)^2 +  (√32)^2

d^2 = 32 + 32 = 64

d = √64 = 8.

You might be interested in
The following table shows the probability distribution for a discrete random
Wewaii [24]
A the other ones really don’t make sense
7 0
2 years ago
ben needs to convert 500 US dollars to the japanese yen. one american dollar is worth 123.3 yen. how many yen will he have
laiz [17]

Answer:

<u>The correct answer is 61,650 Yens</u>

Step-by-step explanation:

US$ in cash that Ben has = 500

Exchange rate (US$/Yen) = 1 : 123.3

For calculating the total amount in Yens that Ben has, we use this formula:

Yens in Cash = US$ in Cash * Exchange rate given

Yens in Cash = 500 * 123.3

Yens in Cash = 61,650

<u>After converting the US$ 500 Ben has, he will receive Yens 61,650</u>

6 0
3 years ago
Plz help with this for brainiest
bearhunter [10]

Answer:

<C = 133 degrees

Step-by-step explanation:

<B = 90 - 43

<B = 47

<C = 180 - 47

<C = 133 degrees

8 0
3 years ago
Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the
telo118 [61]
The angle of 1/4 of a circle is given by:
 (1/4) * (360) = 90 degrees
 We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
 We have then:
 (1/3) * (90) = 30 degrees.
 Answer:
 
the measure of each part is:
 
30 degrees
6 0
3 years ago
Solve for x. Round to the nearest tenth, if necessary.
pychu [463]

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

3 0
2 years ago
Other questions:
  • I’m confused on this one
    14·1 answer
  • Https://brainly.com/question/12057829<br> CAN SOMEONE TELL ME HOW TO GRAPH THIS
    13·2 answers
  • Review
    14·1 answer
  • 18. If m angle EBD= 4x - 8 and m angle EBC= 5x + 20 find the value of x and m angle EBC.
    10·1 answer
  • A bicycle store cost 2400 per month to opérate. The store pays an average of 60 per bike. The average selling price of each bicy
    5·1 answer
  • Emma and Clair are planning to sell lemonade on their
    15·2 answers
  • Help me with question 32
    5·2 answers
  • Answer the following questions.
    11·1 answer
  • 11. What is the approximate distance
    13·1 answer
  • Find the equation of the axis of symmetry
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!