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Aleksandr-060686 [28]
3 years ago
15

Marlena has 3 straws. Two straws have the lengths shown. She does not know the length of the shortest straw, but when she forms

a triangle with all three, the triangle is obtuse. Which are possible lengths of the shortest straw? Check all that apply. 5 inches 6 inches 7 inches 8 inches 9 inches
Mathematics
2 answers:
natka813 [3]3 years ago
8 0

The correct answer is 5, 6, and 7.

swat323 years ago
6 0
The correct answer to this is 5,6,7, good luck 
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8y = 4x - 1 <br> Find the x and y intercepts of the line
Galina-37 [17]

Answer:

x-intercept=1/4     y-intercept= -1/8

Step-by-step explanation:

First, simplify the equation, y= 1/2x-1/8

Then you want to graph the equation with a slope of positive 1/2 starting at -1/8 that'll intercept across the x-axis at 1/4.

To find the y-intercept, you simply have to keep in mind that y=mx+b

b=y-intercept

So our y-intercept is stated in the equation after we simplified it

3 0
3 years ago
Answer the following questions.
SOVA2 [1]

Answer:

43

Step-by-step explanation:


5 0
3 years ago
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roo
svetlana [45]

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

5 0
3 years ago
Solve the question and check the solution. Express numbers as integers or simplified fractions. 5(m+5)=7m+9
Yanka [14]

Answer:

m = 8

Step-by-step explanation:

5(m+5)=7m+9   (distribute & evaluate parenthesis)

5(m)+5(5)=7m+9

5m + 25 = 7m + 9  (move all m-terms to one side and constants to the other)

5m - 7m = 9 - 25  (evaluate both sides)

-2m = -16 (divide both sides by -2)

m = (-16) / ( -2) = 8

7 0
4 years ago
The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft
cluponka [151]

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.387

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

7 0
3 years ago
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