Okay, so you know that the perimeter of the pen is 28 feet. Now we need the separate side lengths.
P = 28 ft.
Length = x
Width = (1/2)x + 2
So now we can plug in the little equations of length and width into a perimeter formula:
2(x) + 2((1/2)x + 2) = 28
Distribute the 2's and solve as needed.
2x + x + 4 = 28
3x + 4 = 28
3x = 24
x = 8
To find the width, just plug in 8 for x in our little equation:
(1/2)(8) + 2
= 6
So, the length is 8 feet and the width is 6 feet.
We are asked to find the principal value of
cos ⁻¹ (0.69)
which is just the least positive angle
cos ⁻¹ (0.69) = 46.37°
Other values of
cos ⁻¹ (0.69) is
46.37° - 180° n
where n is a whole number
2.8 is the correct answer :)
Answer:
400 meters
Step-by-step explanation:
We are told in the question that:
Jake runs the 100-meter dash in
track.
Erika runs a race 400% the distance of Jake's race.
Hence, the length of
Erika's race is calculated as:
400% × 100 - meter
= 4 × 100- meter
= 400 meters
Therefore, Erika's race was 400 meters long.
