If each quilt requires 8 yards of fabric and there’s 185 yards you can make 23 quilts and have 1 yard remaining.
23x8= 184
185-184=1
Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.
<h3>How can the duration of signal reception be found?</h3>
Radius of broadcast of the transmitter = 50 miles
Location of starting point = 56 miles north of the transmitter
Location of destination city = 58 miles east of the transmitter
Therefore we have;
Slope of the line joining the two cities
= 56 ÷ (-58) = -0.966
Which gives the equation of the line as follows;
y = -0.966•x + 56
The equation of the circle is;


1.933156•x^2 - 108.192•x + 636 = 0
Which gives;
Therefore;
When x = 6.67, we have;
- y = -0.966 × 6.67 + 56 = 49.56
When x = 49.29, we have;
- y = -0.966 × 49.29 + 56 = 8.4
The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;
l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>
- The length of the drive during which the signal is received is 59.24 miles
Learn more about the equation of a circle here:
brainly.com/question/502872
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Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression

Apply exponent rule: 
∵ 

Factor out common term 2y

We know that the Binomial is an expression that consists of two terms. Thus,
(4x²y²- 9) represents the binomial factor of 
We can further simplify by Factoring 4x²y² - 9: (2xy + 3) (2xy - 3)

Here:
(2xy + 3) and (2xy -3) are the binomial factors of
as each of them consists of two terms.
Answer: I think it might be 3.5 hours
Step-by-step explanation: 4 - 1.5 = 3.5
I'm not 100% sure but hope this helps!
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