Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
</span><span>
</span><span>Answer: The length of the yard is 22 feet</span>
Standard Form of the circle:

For y:
y=3 (+/-)

For x:
x=
Answer:
d. 
Step-by-step explanation:
The given trigonometric equation is;

Recall that;



The cosine function is negative in the second and third quadrant.


Answer:
$
Step-by-step explanation:
You want to calculate the interest on $40000 at 5.7% interest per year after 17 years.
The formula we'll use for this is the simple interest formula, or:

Where:
- P is principal amount, $40,000
- r is the interest rate, 5.7% per year, or in decimal form,

- t is the time involved, 17 years
To find the simple interest we multiply
to get
The interest rate is $38,760
Usually now, the interest is added onto the principal to figure some new amount after 17 years.
or 40000.00 + 38760.00 = 78760.00
=$78,760
Answer:
__63.81 inches__< μ <___65.87 inches__
Step-by-step explanation:
To calculate at 95% confidence interval, we need the Mean of the sample= 64.84
Sample size=32
Standard Deviation=2.9592
95% Confidence Interval: 64.84 ± 1.03
(63.81 inches to 65.87 inches)
"With 95% confidence the population mean is between 63.81 and 65.87, based on 32 samples."