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3 years ago

Which represents an even function? y=cos(x)

Mathematics

2 answers:

bezimeni [28]3 years ago

6 0

I think the one that represents a even function is cos(x)

netineya [11]3 years ago

6 0

Answer:

The cosine is an even function which means that if (x,y) is on the graph of the function so too is the point (-x,y). Since y corresponds to cos(x) then this means that cos(-x) = cos(x).

Step-by-step explanation:

Hope this helps

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ASHA 777 [7]

The area of the given figure is 576 cm sq.

The perimeter of the given figure is 96 cm.

Step-by-step explanation:

The shape consists of one semicircle and one square which is cut by a semicircle.

Find the area of semicircle= (πr^2)/2

where r is the radius= diameter/2= 24/2= 12 cm

Area of semicircle= π(12)(12)/2= 144π/2= 72π cm sq.

Find the area of square= a^2

where a is the side of square, a=24 cm.

Area of the square= 24*24= 576 cm sq.

To find the total area of the given figure,

Area of the figure= Area of semicircle+(area of square- area of semicircle)

= 72π+576-72π =576 cm sq.

<u>To find perimeter:</u>

Perimeter of semicircle= (2πr)/2

= (2*12*π)/2= 12π cm

Perimeter of square= 4a =4*24 =96 cm

Perimeter of the given figure= perimeter of semicircle+(perimeter of square- perimeter of semicircle)

= 12π+96+12π =96 cm.

4 0

3 years ago

8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

marissa [1.9K]

Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.

3 0

2 years ago

Read 2 more answers

What is the distance between the sandbox and garden

elena55 [62]

For this case, the first thing we must do is apply the law of the sine.
We then have the following expression:
sine (65) / x = sine (104) / 36
Clearing the value of x we have:
x = (sine (65) / sine (104)) * (36)
x = 33.6 feet
Answer:
The distance between the sandbox and garden is:
x = 33.6 feet

6 0

3 years ago

Order the fractions from least to greatest.

pantera1 [17]

Answer:

that would be c

Step-by-step explanation:

is because it is least to greatest I hope this helps you

6 0

2 years ago

I need help please !!!!!!

garri49 [273]

Answer:

And the probability that the first die shows an odd number is 1/2, as is the probability that the second does. Since the dice fall independently, P(both are odd) = P(first is odd)*P(second is odd) = (1/2)*(1/2) = 1/4. Therefore P(at least one is even) = 1 - 1/4 = 3/4.

7 0

3 years ago

Read 2 more answers