Hello, To solve this problem, you need to use a process of trial and error, and add up each number until you get 24 or above. If you get above, it is wrong. The only number that goes into 24 evenly is 8, so the answer is 8 keychains.<span>
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Answer:
1. AC = 5 cm
2. CD = 10.7 cm
Step-by-step explanation:
Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".
Which trigonometric ratio relates "opposite" to "hypotenuse"?
<em>Yes, that's SINE.</em>
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So we can write:
We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:
Thus,
AC = 5 cm
Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?
<em>Yes, that's tan!</em>
Thus we can write:
Now using calculator, we get our answer to be:
CD = 
So
CD = 10.7 cm
Answer:
Light Blue
Step-by-step explanation:
The first thing to do is to take 1 point on the graph. Lets say the bottom left point. You would move down the number of spaces to the same point.
It is 8 units down. Then, move however many units to the right. In this case, it is five units right, so the answer would be light blue.
Answer:
x = 4
Step-by-step explanation:
I'd suggest you write (1/24)x = 1/6 to avoid any ambiguity about the coefficient of x.
Multiplying both sides by 24 (the LCD) will eliminate the fractions:
24(1/24)x = 24/6, or x = 4.
Answer: Choice A)
y + 3 = (2/3)(x - 5)
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Explanation:
Point slope form is
y - y1 = m(x - x1)
m = 2/3 is the given slope
(x1,y1) = (5,-3) is the point the line goes through
So we have
y - y1 = m(x - x1)
y - (-3) = (2/3)(x - 5)
y + 3 = (2/3)(x - 5)
