Last February there were 617,624 scheduled passenger flights in a certain country, and in February of 1999 there were 709,639. U
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The shop sold 36 sundaes and 28 banana spilts
<em><u>Solution:</u></em>
Let "a" be the number of sundaes sold
Let "b" be the number of banana spilts sold
Cost of 1 sundaes = $ 2
Cost of 1 banana spilt = $ 3
<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>
Therefore,
Number of sundaes sold = 8 + number of banana spilts sold
a = 8 + b ------- eqn 1
<em><u>Also, given that they made $ 156</u></em>
<em><u>Therefore, we frame a equation as</u></em>:
Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156
2a + 3b = 156 ---------- eqn 2
<em><u>Substitute eqn 1 into eqn 2</u></em>
2(8 + b) + 3b = 156
16 + 2b + 3b = 156
16 + 5b = 156
5b = 156 - 16
5b = 140
<h3>b = 28</h3><em><u>Substitute b = 28 in eqn 1</u></em>
a = 8 + 28
<h3>a = 36</h3>Thus the shop sold 36 sundaes and 28 banana spilts
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
