A tangent is >insert answer here< to the radius that shares the point of tangency

1 answer:

3 0

A tangent line is always perpendicular to the radius that shares the point of tangency. In other words, where your tangent line touches the circle (at only one point), that line is perpendicular to the radius at that point.

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Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o

zubka84 [21]

X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90

STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660

STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie

STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie

CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90

ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)

3 0

3 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

photoshop1234 [79]

Answer: 0.1353

Step-by-step explanation:

Given : The mean of failures = 0.025 per hour.

Then for 8 hours , the mean of failures = $\lambda=8\times0.25=2$ per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that the instrument does not fail in an 8-hour shift :-

$P(X=0)=\dfrac{e^{-2}2^0}{0!}=0.1353352\approx0.1353$

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

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The method of grd 5 of using multiplication<br>24<br>×35<br>=

Mariana [72]

Answer:

24 x 35 = 840

Step-by-step explanation:

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Find the sum of the geometric sequence. (1 point) 1, one divided by two, one divided by four, one divided by eight, one divided

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GP = 1/2 , 1/4 , 1/8 , 1/16
1st) the common ratio is (1/4 : 1/2 ) = 1/2, so r =1/2
2nd) the sum of a GP is:

S= a(1-rⁿ)/(1-r)

S=(1/2).[1-(1/2)⁴]/(1-1/2) = 15/16

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