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3 years ago

A rectangle has sides of length 8 cm and 3 cm. Find the length of it's diagonals.

Mathematics

2 answers:

True [87]3 years ago

6 0

Diagonal formula: a^2 + b^2 = c^2

Now, solve for the length of the diagonal.

8^2 + 3^2 = c^2

64 + 9 = c^2

73 = c^2

√73 = √c^2

8.5 ≈ c (This is the diagonal and its rounded).

Best of Luck!

slava [35]3 years ago

4 0

Using pythagoras a^2 + b^2 = c^2
8^2 + 3^2 = c^2
64 + 9 = 73
The square root of 73 is 8.54
So the length of the diagonals are 8.54cm

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

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2 years ago

250 of a number is 60. Find the number

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2 years ago

Find the area of a parallelogram with height 4 4/5 and base is 5 2/3

AlexFokin [52]

This parallelogram has an area of 27.17.

To find this you use the formula a = bh

So when you fill in base (b) and height (h) with the values provides you get the formula a = 5.66 x 4.8 then you just multiply those two numbers together. If you don't understand any part of this, please let me know and I will explain in more detail.

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3 years ago

Read 2 more answers

Richard is $15 overdrawn on his checking account. He writes a check for $7. What is the balance in his checking account now?

Annette [7]

Since he’s already at -15, if he writes a check for 7 then he’s subtracting more from his account.
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3 years ago

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Answer:

Step-by-step explanation:

1) 30 : 100 = x : 299

x = (30 x 299)/100

x = 89,70 $

2) 299 - 89,70 = 209,30 $

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x = 10,465 $

209,30 + 10,465 = 219,77 $

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2 years ago