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3 years ago

Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed

Mathematics

1 answer:

faltersainse [42]3 years ago

3 0

Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

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Short Response

garik1379 [7]

Answer:

(a)2(89x+84)

(b) $2(89x+84-x^2\pi)$

Step-by-step explanation:

The dimensions of the larger rectangular field are:

Length=5x + 12; Width = 9x + 14.

The dimensions of the smaller rectangular soccer field are:

Length=5x; Width = 9x.

(a)Area of the part of the field that is outside the soccer field

=Area of the larger rectangular field - Area of the Soccer Field

=(5x+12)(9x+14)-5x(9x)

=(5x)(9x)+70x+108x+168-5x(9x)

=178x+168

=2(89x+84)

(b)Radius of the Semicircular Fountain =2x

From Part (a),

Area of the larger rectangular field - Area of the Soccer Field=178x+168

Area of the Semicircular Fountain = $\dfrac{\pi r^2}{2} =\dfrac{\pi (2x)^2}{2} =\dfrac{4x^2\pi}{2} =2x^2\pi$

Area of the Field that does not include the soccer field or the fountain.

=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain

$=178x+168-2x^2\pi\\=2(89x+84-x^2\pi)$

8 0

3 years ago

Divide £88 between Bill and Sam. If Sam gets

Lynna [10]

<h3>Answer: £66</h3>

Your teacher may want you to leave off the pounds sign.

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Explanation:

x = amount Bill gets

3x = amount Sam gets, because he gets three times as much

x+3x = 4x = total amount of money

4x = 88

x = 88/4

x = 22

Bill gets £22

3x = 3*22 = 66

Sam gets £66

Note that 22+66 = 88 to help confirm the answer.

4 0

3 years ago

Y=-3x+5 <br> 5x-4y=-3<br> Trying to solve this problem

rodikova [14]

Your answer would be y= 5x/-4 - 3/-4 because you’ll move 5x to the other side of the equal sign then divide -4 to get y by itself

5 0

3 years ago

When calculating the circumference of a circle, sometimes the radius is given instead of the diameter. What is the relationship

marin [14]

Answer:

Option A ( radius is twice the daimeter )

Step-by-step explanation:

The relationship between radius and daimeter is given as

Radius² = Daimeter ⇒ r² = d

And cricumference can be calculated with radius

As circumference is 2πr

8 0

2 years ago

Read 2 more answers

PLEASE HELP! Please I’m having a hard time with this I’ll be thankful

Arlecino [84]

Answer:

80 and 96

Step-by-step explanation:

80 and 96

7 0

3 years ago

Read 2 more answers