Answer:
The answer is 8.91 or 8.9
Step-by-step explanation:
SInce the circumference is 56, you'll divide it by pi or 3.14. It's as if you're doing it backwards, but not always. After you divide it by 3.14, you'll get your diameter, or in this case, 17.8. Divide the diameter by 2 because the diameter is twice the radius. Eventually your final answer will be 8.91 or 8.9
You don't need to understand the construction or why it works. You only need to accept the fact that it does. You can figure out the answers to this question by looking at the picture.
RT is tangent to circle Q -- TRUE. That is the point of the construction.
QT is a radius of circle Q -- TRUE. Q is the center and T is on the circle. A line segment from the center to a point on the circle is a radius.
m∠QSR = 90° -- FALSE. Those points lie on the same line. The measure of the angle is 180°.
QS = QT -- FALSE. S lies inside circle Q, so is closer to the center than T, which lies on the circle. (For some choice of point R, S might lie on the circle, but because this statement is not always true, it must be considered false.)
ΔRTQ is a right triangle -- TRUE. A tangent line is always perpendicular to the radius to the point of tangency. The construction succeeds because RTQ is inscribed in semicircle RTQ (centered at S). Such a triangle is always a right triangle.
The empirical rule tells you 68% of normally-distributed observations are within 1 standard deviation of the mean.
_____
This is a number you may want to memorize, along with the numbers for 2 (95%) and 3 (99.7%) standard deviations.
So a 3 foot cable is10.25
a 6foot cable is 15.50
so
x=cost per foot
y=cost of special connectors
3x+y=10.25
6x+y=15.50
make first equation negative and add to the first
3x=5.25
divide both sides by 3
1.75=x
so it costs 1.75 for a foot of cable
subtitue into first equation
3(1.75)+y=10.25
5.25+y=10.25
subtract 5.25 from both sides
y=5 dollars=cost of special so
4x+y=4(1.75)+5=7+5=$12
so the cost of a 4 foot cable is $12
