Answer:
<em>y=2 cos (π/4x-π/4)</em>
Step-by-step explanation:
<em>Given</em>
<em>A cosine function has an amplitude of 2, a midline of 5 and a period of 8.</em>
<em>To find: </em>
<em>A cosine function.</em>
<em>Explanation:</em>
<em>Let the function be,</em>
<em></em>
<em>Since amplitude is 2.</em>
<em>Then,</em>
<em></em>
<em>Also, since the period is 8.</em>
<em>Then,</em>
<em></em>
<em>And, since midline is 5.</em>
<em>Hence, the cosine function is,</em>
<em>y=2 cos (</em>
<em>x-</em>
<em></em>
Answer:
5 un^2
Step-by-step explanation:
the liens from (0, 0) to (1, 3) and (1, 3) to (4, 2) are perpendicular meaning that the angle at (1, 3) is a right angle
to find the lengths of the sides we must use the pythagorean theorem
a^2 + b^2 = c^2
for the leftmost side
we have 1^2 + 3^2 = c^2
1 + 9 = 10
c^2 = 10
c = sqrt(10)
for the top side
we have
the same thing
1^2 + 3^2 = c^2
1 + 9 = 10
c^2 = 10
c = sqrt(10)
you must multiple sqrt(10) by sqrt(10) and then by 1/2
sqrt(10) * sqrt(10) is 10
10 * 1/2 is 5
the area is 5 un^2
Answer: 24%
Step-by-step explanation:
A company is expanding its building area from 16,500 square feet to 20,460 square feet. To calculate the percentage increase in the area of the building space, we first find the difference. This will be:
20,460 - 16,500 = 3960
We then divide the difference by the former building area and then multiply by 100. This will be:
3960/16500 × 100
= 0.24 × 100
= 24%
The percentage increase of the area of the building space is 24%.
