It's -5.25 because 5*8 is 40 and 6*8 is 48.
Answer:
എനിക്ക് മുന്നറിയിപ്പ് നൽകാനാകുമോ?
Step-by-step explanation:
Answer:
Semi-annually: A = $24 178.51
Quarterly: A = $24 205.73
Monthly: A = $24 224.13
Step-by-step explanation:
The formula for compound interest is
A = P(1 + r)ⁿ
A. Compounded semi-annually
Data:
P = $20 000
APR = 4.8 %
t = 4 yr
Calculations:
n = 4 × 2 = 8
r = 0.048/2 = 0.024
A = 20 000(1+ 0.024)⁸
= 20 000 × 1.024⁸
= 20 000 × 1.208 926
= $24 178.51
B. Compounded Quarterly
n = 4 × 4 = 16
r = 0.048/4 = 0.012
A = 20 000(1+ 0.012)¹⁶
= 20 000 × 1.012¹⁶
= 20 000 × 1.210 286
= $24 205.73
C. Compounded monthly
n = 4 × 12 = 48
r = 0.048/12 = 0.004
A = 20 000(1+ 0.004)⁴⁸
= 20 000 × 1.004⁴⁸
= 20 000 × 1.211 207
= $24 224.13
Given tan g = 5/12, find cos g:
5
tan g = ———
12
The tangent function is, by definition, the quotient between sine and cosine:
sin g 5
———— = ———
cos g 12
Product of them extremes = product of the means
12 · sin g = 5 · cos g
Square both sides:
(12 · sin g)² = (5 · cos g)²
12² · sin² g = 5² · cos² g
144 · sin² g = 25 · cos² g
But sin² g = 1 – cos² g. Substitute it for sin² g into the equation above, and you have
144 · (1 – cos² g) = 25 · cos² g
Multiply out the brackets, and then isolate cos² g:
144 – 144 · cos² g = 25 · cos² g
144 = 25 · cos² g + 144 · cos² g
144 = 169 · cos² g
Divide both sides by 169:
144
cos² g = ———
169
12²
cos² g = ———
13²
cos² g = (12/13)²
Now, take the square root of both sides:
cos g = ± √(12/13)²
12
cos g = ± ———
13
The sign of cos g depends on which quadrant the angle g lies. As tan g = 5/12, which is positive, then g lies either in the 1st or the 3rd quadrant:
• If g lies in the 1st quadrant, then
5
cos g > 0 ⇒ cos g = ——— ✔
13
• If g lies in the 3rd quadrant, then
5
cos g < 0 ⇒ cos g = – ——— ✔
13
I hope this helps. =)
Tags: <em>trigonometric relation tangent cosine sine tan cos sin trig trigonometry</em>
The answer to both the subparts using the circumference of the circle is:
- (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
- (B) The area of green space on the track is 0.64m².
<h3>What is a length of a rectangle?</h3>
- The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.
What is a circumference of a circle?
- The distance along a circle's perimeter is referred to as its circumference.
- Circumference of the circle formula: C = 2πr.
Here,
(A) A circuit of a racetrack is equal to the sum of the two lengths of a rectangle and the circumference of the circle.
We get:
- = 84.39 * 2 + 73π
- = (168.78 + 73π)m
(B) Let the area of the green space of the track is x.
Then, calculate as follows:
- 168.78 + xπ = 400
- x = (400 - 168.78)/π
- x = 73.64m
So, the inner circle of distance is 73.64 - 73 = 0.64m.
Therefore, the answer to both the subparts using the circumference of the circle is:
- (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
- (B) The area of green space on the track is 0.64m².
To learn more about the circumference from the given link
brainly.com/question/18571680
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