First, we need to find the total fraction of her raisins she used:
1/4 + 3/8 = 2/8 + 3/8
She used 5/8 of her supply.
Knowing this:
5/8x = 5
We multiply by 8 (the LCD)
5x = 40
x = 8
Her supply was 8 pounds, and after making the food, she now has 3 pounds
It's scalene because it has different sides and obtuse because root 40²+30²=50
110>50
Answer:
,
Explanation:2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) =

sin(q) =

Now, we know that:
sin (45) =

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to

or q = 270 + 45 = 315° which is equivalent to

Hope this helps :)
Answer:
...
Step-by-step explanation:
Answer:
A. 29 feet
Step-by-step explanation:
Use cos to find the hypotenuse
cos = adj/hp
0.64 = 20/hyp
hyp = 20/0.64
hyp = 31.25
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Use Pythagorean Theorem to find the height of tree above eyes
a² + b² = c²
a² + 20² = 31.25²
a² = 31.25² - 20²
a² = 576.5625
a = 24 (to the nearest foot)
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Finally add in the eye height
h = 24 + 5
h = 29 feet