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2 years ago

ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?

Mathematics

2 answers:

kiruha [24]2 years ago

5 0

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

aev [14]2 years ago

4 0

10 because they are congruent

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2 years ago

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let (-5,-7) be a point on the terminal side of theta. find the exact values of cos theta, sec theta, and cot theta

Svet_ta [14]

a. The exact value of cosθ = -5/√74

b. The exact value of secθ = -√74/5

c. The exact value of cotθ = 5/7

<h3>How to find the trigonometric ratios</h3>

Since the terminal side of the θ is the point, (-5, -7), we need to find the length of the terminal side.

So, r = √(x² + y²) where

x = -5 and
y = -7

So, r = √(x² + y²)

r = √((-5)² + (-7)²)

r = √(25 + 49)

r = √74

<h3>The value of the trigonometric ratio cosθ</h3>

Since the trigonometric ratio cosθ = x/r

Substituting the values of x and r into the equation, we have

cosθ = x/r

cosθ = -5/√74

So, the exact value of cosθ = -5/√74

<h3>The value of the trigonometric ratio secθ</h3>

Since the trigonometric ratio, secθ = r/x

Substituting the values of x and r into the equation, we have

secθ = r/x

secθ = √74/-5

secθ = -√74/5

So, the exact value of secθ = -√74/5

<h3>The value of the trigonometric ratio cotθ</h3>

Since the trigonometric ratio cotθ = x/y

Substituting the values of x and y into the equation, we have

cotθ = x/y

cotθ = -5/-7

cotθ = 5/7

So, the exact value of cotθ = 5/7

Learn more about trigonometric ratios here:

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1 year ago

Place these numbers in order from least to greatest:<br><br> 16/5 -3 6 3.1 -2.5 1/4 -3/4 -3/8

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Answer:

I hope this helps :)

Step-by-step explanation:

- Least: -3

- -2.5

- -3/4

- -3/8

- 1/4

- 3.1

- 16/5

- Greatest: 6

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2 years ago

Which of the following statements are true of the graph of the function f(x) = (x+5)(x-3)

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The answer is the graph has a relative maximum

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3 years ago

What is the volume of the can below? Use Pi = 3.14 and round your answer to the nearest tenth. A cylinder with height 96 millime

Serga [27]

Answer:

$328,268 mm^3$

Step-by-step explanation:

The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:

$V=\pi r^2 h$

where

r is the radius of the base of the cylinder

h is the height of the cylinder

In this problem we have:

h = 96 mm is the height of the can

d = 66 mm is the diameter of the can

So the radius of its base is

$r=\frac{d}{2}=\frac{66}{2}=33 mm$

And therefore, the volume of the can is:

$V=\pi (33)^2 (96)=328,268 mm^3$

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3 years ago

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