Answer:
Step-by-step explanation:
Given that
A right triangle has side lengths a, b, and c
Because you did not attached photo of the right triangle so I will assume that:
- Side a is the adjacent (A)
- Side b is the opposite (O)
- Side c is the hypotenuse (H)
(Please have a look at the attached photo)
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:
Hope it will find you well
Mike used the most milk because .5 is 50% which is 3 gallons out of the container dan used 14% of the milk and amy used 13% which means amy used the least and mike used the most.
Answer: The exact length of segment HC is sqrt(3) units
The approximate length is roughly 1.73205080756888 (round that however you need to)
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Work Shown:
Let x = length of HC
Since AH = 3*HC, this means AH = 3*x
Draw out the picture. This step is optional but helpful in my opinion. The drawing is attached below.
After adding in the altitude BH, we have three similar triangles. So we can form the proportion shown below to solve for x
HC/BH = BH/AH
HC/3 = 3/AH ... replace BH with 3
x/3 = 3/AH ... replace HC with x
x/3 = 3/(3x) ... replace AH with 3x
x/3 = 1/x ... reduce
x*x = 3*1 ... cross multiply
x^2 = 3
x = sqrt(3) ... which is shorthand for "square root"
HC = sqrt(3)
HC = 1.73205080756888 which is approximate
The cost of the monthly fee is 50$.. if the joining fee is 100.. take 200 and subtract that fee since it is included in the total. You’re left with 100. Note, the 200 is calculated for a 2 month period, so split the remaining 100 ,from the total 200, into 2. You’re left with 50 each month.
T=(C-100)/2 (T being 1 month) (C being the total cost/200)
Hopefully
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The triangles ΔLNO and ΔLMO have the same leg Lo, therefore you need the equality of hypotenuses LM=LN.
