Answer:
95.7
Step-by-step explanation:
\sin C = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{95}{x}
sinC=
hypotenuse
opposite
=
x
95
\sin 83=\frac{95}{x}
sin83=
x
95
x\sin 83=95
xsin83=95
Cross multiply.
\frac{x\sin 83}{\sin 83}=\frac{95}{\sin 83}
sin83
xsin83
=
sin83
95
Divide each side by sin 83.
x=\frac{95}{\sin 83}=95.7134\approx 95.7\text{ feet}
x=
sin83
95
=95.7134≈95.7 feet
Type into calculator and roundto the nearest tenth of a foot.
Answer:
-2 > x > 5
Step-by-step explanation:
x < -2 and x > 5
-2 > x > 5 is the is the answer
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Answer:
44
Step-by-step explanation:
52=2*26=2*2*13
We can see that 52=2*2*13,
so 52 is divisible by 1, by 2, by 4, by 13, by 26 and by 52.
Answer:
So he can travel a total of 90 miles
Step-by-step explanation:
Given:
Total he has to pay = $130
Per week cost = $94
Per mile cost = $0.40
To Find:
No of miles = ?
Solution:
The total he has to pay can be found out by the equation
Total = weekly cost + Miles cost
Now here
Miles cost = total no of miles traveled * per mile cost
This is due to the reason that he is travelling miles and we have to multiply it with it per mile cost to get the total miles cost
so
Let Total miles traveled be x then
Miles cost = $ 0.40 * x
Now we have
Total = weekly cost + Miles cost
Putting in the values we get
130 = 94 + 0.40 *x
subtracting 94 from both sides
130-94 = 94 + 0.40*x - 94
36 = 0.40*x
Dividing both sides by 0.4 we get

90 miles = x
or x= 90 miles
So he can travel a total of 90 miles