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3 years ago

Can you construct a triangle with side lengths of 1 meter, 7 meters, and 8 meters?

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

No.

Step-by-step explanation:

No.

Each side of a triangle must have a length between the difference and the sum of the lengths of the other two sides.

Let's look at the sum and difference of lengths of 2 sides.

Side with length 1 and side with length 7; third side with length 8

sum of lengths of first two sides = 1 + 7 = 8

difference = 7 - 1 = 6

The third side would have to have a length between 6 and 8. The third side has a length of 8. For a triangle, the third side must be between the sum and difference. Here, the third side is equal to the sum, so there is no triangle.

As soon as one side does not work, there is no triangle, and you don't need to check the sums and differences of the other two sets of two sides.

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What's 2b+8-5b+3=-13+8b-5

Airida [17]

Answer:

Alright well solve for b by simplifying both sides of the equation, then isolating the variable

Exact form: b = 29/11

Decimal form: b = 2.63 Well Hope this helps :)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

4 years ago

Hours worked 6 Hourly wage 3.95 Plus tips 21.65

AleksandrR [38]

The answer is $45.35

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3 years ago

Examine this system of equations. Which number can be multiplied by each equation so that when the two equations are

andreyandreev [35.5K]

Answer:

15 times the first equation and -12 times the second equation

Step-by-step explanation:

we have

$\frac{3}{4}x+\frac{2}{3}y=6$ ------> first equation

$\frac{5}{8}x+\frac{5}{6}y=12$ ------> second equation

Multiply the first equation by 15 both sides

$(15)\frac{3}{4}x+(15)\frac{2}{3}y=6(15)$

$\frac{45}{4}x+10y=90$ -----> new first equation

Multiply the second equation by -12 both sides

$(-12)\frac{5}{8}x+(-12)\frac{5}{6}y=12(-12)$

$-\frac{60}{8}x-10y=-144$ -----> new second equation

Adds the two new equations

$\frac{45}{4}x+10y=90\\-\frac{60}{8}x-10y=-144\\-----------\\\frac{45}{4}x-\frac{60}{8}x=90-144$

The y-term was eliminated

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3 years ago

20 POINTS!!

Whitepunk [10]

Congruent means they are the same size

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4 years ago