Answer:
h ≈ 11.9
Step-by-step explanation:
Since the triangle is right we can use the cosine ratio to find h
cos24° = 
= 
Multiply both sides by 13
13 × cos24° = h
⇒ h = 11.9 cm ( to 1 dec. place )
Square root (x + 8) -6 = x
square root (x + 8) = x -6
x^2 + 16x + 64 = x^2 -12x + 36
28x = 48
x =
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1.7142857143
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None of the above
1) Convert mixed fractions into fractions.
6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 = 8 / 3
2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.
The unit rate is 12 / 5 = 2 2/5 revolutions per second.
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Please, for clarity, indicate exponentiation using the " ^ " symbol.
y = - 3x^5 ("Negative three times the 5th power of x")
y = 3x^8
y - -3(0.5)^x
y = -2^4
An exponential function has an exponent which is variable, where the base stays constant; the base cannot be a negative number or a zero. The third answer choice is the correct one, as we raise the constant 0.5 to the power x:
y = -3(0.5)^x
