Answer:
Step-by-step explanation:
Compound increase
20,000 x 1.06 to power of 9 = 33789 <u><em>OR</em></u> 33790
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increase by 6% 9 years
<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Multiplying both sides of the equation by 8, we get;
Simplifying, we get;
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Complete question is: Each bicycle have speed 10 mi/h and fly flies at 21 mi/h. How far the fly flies?
Answer:
47.25 mi
Step-by-step explanation:
The relative velocity of the bicycles is 10+10 = 20 mi/h
Time in which the two bicycles meet:
Distance covered by fly:
Answer:
c
Step-by-step explanation:
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