Answer:
x =
and y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
Step-by-step explanation:
Applying the trigonometric functions to the given triangle;
i. To determine the value of x;
Sin θ = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Sin 45 = ![\frac{x}{16}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B16%7D)
x = 16 * Sin 45
= 16 * ![\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
x = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
ii. To determine the value of y;
Cos θ = ![\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
Cos 45 = ![\frac{y}{16}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B16%7D)
y = 16 * Cos 45
= 16 * ![\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
Thus, x =
and y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
The cost of each song is Rs 1.75
<h3>How to solve algebra word problems?</h3>
Let the variable representing the cost of 1 song be x.
Now, since she was given a $50 gift card to a music downloading app. She purchased 18 songs from the app that all cost the same amount each. If she has $18.50 remaining on her gift card. Thus, we can express this as;
50 - 18x = 18.50
-18x = 18.50 - 50
-18x = -31.5
x = -31.5/-18
x = 1.75
Therefore, the cost of each song is Rs 1.75
Read more about Algebra Word Problems at; brainly.com/question/13818690
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Answer:
a) 23.5619449 m^2 b) 351.8583772 cm^2 c) 75.39822369 cm^2
Step-by-step explanation:
a):
SA = 2πr^2+2πr
r= 3/2 = 1.5
SA= 2π*1.5^2 + 2π*1.5
SA= 15/2 ∏
SA= 23.5619449 m^2 round it as you want
b): Same steps as "a" but rather than m^2 it is cm^2
the answer will be:
SA= 112π
SA= 351.8583772 cm^2 round it as you want
c): the radius is already given so just place it in place of r
SA= 2π*3^2 + 2π*3
SA= 24π
SA= 75.39822369 cm^2
Answer:
A=38.88 or 38.9
Step-by-step explanation:
If both are similar then the 9 and the 7.2 are the same
9-7.2= 1.8
9x6=54
7.2-1.8=5.4
7.2x5.4=38.88 or 38.9
Answer:
1. C= 2(pi)(d/2)
2. C= 2(pi)r
Step-by-step explanation:
The first answer is where you would have to find the radius of the circle if you know the diameter. And to find the radius, you would have to divide the diameter by 2 to get the radius. Welp.... I wish you luck! ;)