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The answer is the square root of 101.75
Assuming that the sandwich Is a square, after cutting it diagonally, it turns into 2 triangles. To look for a missing length of a triangle, you use Pythagorean’s theorem a^2+b^2=c^2
Since c is 12 and a is 6.5 you just square 12 and square 6.5
144 42.25
Subtract it
101.75
You then have to find the square root of it. You can leave it as it is as √101.75 or just solve for it and round it to 10.09
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Median = middle number
Total ten numbers so
median = (17 + b)/2
given median = 18
so
(17 + b)/ 2 = 18
17+b = 36
b = 36 - 17
b = 19
Now you have the data set
7, a , 12, 15 , 17, 19, 20, 22, 24 , 25
Mean = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24 +25)/ 10
Given mean = 17
so
17 = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24 +25)/ 10
17 = (a + 161) / 10
a + 161 = 170
a = 170 - 161
a = 9
answer
a = 9
b = 19
Answer:
Number 4. is 17.3 degrees and 7. is 30 degrees.
Step-by-step explanation:
4. is 17.3 because 50 degrees subtract 32.7 and the answer is 17.3.
7. I used a protractor.