Answer:
65°
Step-by-step explanation:
We know that every triangle is equal to 180 degrees. Therefore, you have to subtract all angles by 180 to find what the missing angle is. The missing angle is 180-68-47. You can simplify this to 180-115. This is equal to 65. Therefore, the missing angle is 65 degrees.
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9 simplified is radical 3 then 2 on the outside make the answer 3
Answer:
A. 16
Step-by-step explanation:
We can use a ratio to solve
4 bracelets x bracelets
----------------- = -------------
12 minutes 48 minutes
Using cross products
4 * 48 = 12x
192 = 12x
Divide by 12 on each side
192/12 =12x/12
16 =x
Answer:
Here the degree of the polynomial is 11.
Step-by-step explanation:
To find the degree of the multivariate polynomials, we need to add up the powers of all the variables. So the total degree is given by the sum of all the powers of the highest powers terms.
Now in the given polynomial 
the term with the highest total powers is 
and thus the total power is 6+5=11.
And hence the degree of this polynomial is 11.
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
