Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:
Using a calculator:
More can be learned about relations in a right triangle at brainly.com/question/26396675
Answer:
At least 11 miles a day.
Step-by-step explanation:
(80-14)÷6≥80
Hi!
<h3>The equation of point slope form is</h3>
<u>y = sx + b</u>
We need to find s and b
s = slope
b = y intercept
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<h3>To find the slope, use this formula. </h3>
Put in the values.
The slope is 2.
<u>y = 2x + b</u>
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<h3>Now we need to find the y intercept. Put in a point, and solve for b. </h3>
-8 = 2 * -6 + b
-8 = -12 + b
4 = b
The y intercept is 4.
<u>y = 2x + 4</u>
<h2>The answer y = 2x + 4</h2>
Hope this helps! :)
-Peredhel
Some institutions use 360 days a year (because then they charge more interest than 365 days).
Assuming the 360 days a year rule, the the daily rate is
6.5% for a year, or 270/360*6.5% for 270 days.
The future amount is then
4000*(1+0.065*270/360)
=$4195 (simple interest).
