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
kotykmax [81]
3 years ago
11

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

18.03 cm

Step-by-step explanation:

The two sides of the rectangle are the legs of a right triangle and the diagonal is the hypotenuse.  We can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2 +15^2 = c^2  

100 +225 = c^2

325 = c^2

Take the square root of each side

sqrt(325) = sqrt(c^2)

18.02775638 =c

Rounding to the nearest hundredth

18.03 =c

You might be interested in
Please help , giving brainliest .
AysviL [449]

Answer:

363.22

Step-by-step explanation:

<u>Method 1: </u>

You could find the whole figure surface area than divided by 1/2

<u>Method 2:</u> (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

width = 4.3 yd

A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

A = 243.68

There is overlapping surface area that shouldnt be include so we need to subtract it...

<u>For one face of figure 1</u>

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

243.68 - 38.38 = 205.3

205.3 + 157.92 = 363.22

7 0
2 years ago
Which counterexample shows that the conjecture "Every parallelogram is also a rectangle" is false?
saveliy_v [14]
A parallelogram without four right angles would prove that to be false.
5 0
2 years ago
Read 2 more answers
In 1979, there were 2.4 million licensed registered nurses in a country. This number increased to 3.6 million in 2012. What is t
Dennis_Churaev [7]

Answer:

It is a 50% increase

Step-by-step explanation:

2.4 million /2 = 1.2 million

2.4m + 1.2m = 3.6m

50% of 2.4 is 1.2

it is a +50% increase to get from 2.4 to 3.6

6 0
3 years ago
Simplify the expression -14
ehidna [41]
It would just be -14 still
8 0
3 years ago
Read 2 more answers
The total cost of your pizza is 6.46.
vodka [1.7K]

Answer:

193.80

Step-by-step explanation:

30x6.46=193.80

3 0
2 years ago
Read 2 more answers
Other questions:
  • 13 feet in 5 steps unit rate​
    9·1 answer
  • A certain pet store has only cats and dogs. The ratio of the number of cats to the
    10·2 answers
  • explain the relationship between the divisor, the dividend, the quotion and the number of times you subtracted the divisor from
    7·1 answer
  • Plzzzz help
    5·1 answer
  • What is the solution to the nearest tenth to the equation below? 0.3y=-2
    6·1 answer
  • In a town there are 1349 families. If there are on average two children attending elementary school from each family and each sc
    9·1 answer
  • Find the values of x and y in the diagram.
    9·1 answer
  • The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The
    9·1 answer
  • Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    15·2 answers
  • The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 mont
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!