Answer:
19.27
Step-by-step explanation:
<u>To </u><u>find</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Answer</u><u> </u><u>:</u><u>-</u><u> </u>
As we know that ,
→ cos ∅ = b/h
→ cos 33° = 16/x
→ 0.83 = 16/x
→ x = 16/0.83
→ x = 19.27
10.5 ounce package- $3.51
29.3 ounce package- $3.67
It is better to buy a 10.5 ounce package
The trigonometric ratio (trig ratio) for the angle in this right-angled triangle should be expressed as fractions in simplest terms as follows:
Sin(M) = 21/121
Cos(L) = 10/11
Tan(K) = 21/100
<h3>How to express the trig ratio as fractions?</h3>
In Mathematics, a trigonometric ratio (trig ratio) can be calculated by using this mnemonic SOHCAHTOA:
Sinθ = Opposite/Hypotenuse
Sin(M) = KM/ML
Sin(M) = √21/11
Taking the square of both the numerator and denominator, we have:
Sin(M) = (√21)²/11²
Sin(M) = 21/121
For the cosine of an angle in a right-angled triangle, we have:
Cosθ = Adjacent/Hypotenuse
Cos(L) = KL/ML
Cos(L) = 10/11
For the tangent of an angle in a right-angled triangle, we have:
Tanθ = Opposite/Adjacent
Tan(K) = KM/KL
Tan(K) = √21/10
Taking the square of both the numerator and denominator, we have:
Tan(K) = (√21)²/10²
Tan(K) = 21/100
Read more on trigonometric ratio here: brainly.com/question/26964482
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Answer:
They would be 132km apart
Step-by-step explanation:
In order to solve this we need to set up a proportion. To make that easier, let's first change the fractions into decimals.
2 1/2 = 2.5
5 1/2 = 5.5
Now we can put the scale in the right side fraction and the distance in the left.
2.5cm/60km = 5.5cm/xkm
Now cross multiply to solve
60 * 5.5 = 2.5 * x
330 = 2.5x
132 = x