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SIZIF [17.4K]
3 years ago
8

A rectangle as the width of 9 units and length of 40 units. What is the length of the diagonal?

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

the Diagonal is 41 units

Step-by-step explanation:

Since the sides of a rectangle, to be a rectangle, meet at 90° we use Pythagorean Theorem a² + b² = c²  

Width and Length are the legs and the diagonal is the hypotenuse

9² + 40² = c²

81  + 1600 =  c²

1681 = c²

√1681 = √c²

41 = c

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A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= \pi r^{2} h/3

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h

h=10 cm

B.

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi

To find the number of times we divide new volume with the old volume

N= 960\pi /120\pi \\\\N= 8

8 0
3 years ago
Read 2 more answers
X ^ 2 + y ^ 2 + 6y - 67 = 2y - 6x; circumference
garri49 [273]

Answer:

(x+3)^2+(y+2)^2=80

Step-by-step explanation:

7 0
2 years ago
What is the value of 3 + y ÷ 4, when y = 16?
tankabanditka [31]
Well lets do this

3 + 16 ÷ 4 

we divide first

3 + 4

Addition

=7
6 0
4 years ago
There is 60% chance that it will rain today. If it rains, the probability of watching a movie is 0.5. But, if it does not rain t
agasfer [191]

Applying the given probabilities, it is found that there is a 0.42 = 42% probability of watching a movie today.

These following <em>probabilities </em>involve a movie being watched today:

  • 0.5 of 0.6(if it rains today).
  • 0.3 of 1 - 0.6 = 0.4(if it does not rain today).

Hence, adding them:

p = 0.5(0.6) + 0.3(0.4) = 0.3 + 0.12 = 0.42

0.42 = 42% probability of watching a movie today.

A similar problem is given at brainly.com/question/14398287

5 0
3 years ago
Three more than a number is 15
podryga [215]

Answer:

The number is 12

Step-by-step explanation:

If 15 is three more than the number is three less so you do, 15 - 3 which is 12.

I hope this helps

7 0
2 years ago
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