Answer:
C
Step-by-step explanation:
Note that <em>x</em> is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:
The opposite side is <em>x</em>, the hypotenuse is 15, and the angle is 53. Substitute:
Solve for <em>x: </em>
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Use a calculator (make sure you're in Degrees Mode!). Hence:
Our answer is C.
Answer:
m= -3/2
Step-by-step explanation:
Answer:
4) 7
5) -12
Step-by-step explanation:
4) 5x+2= 37
5x= 37-2
x= 35/5
x= 7
5) -6x-7= 65
-6x= 65+7
x= 72/-6
x= -12
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Answer:
848.23 mm²
Step-by-step explanation:
LA = πdh
LA = 3.14159 × 18 mm × 15 mm
LA = 848.23 mm²
