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2 years ago

Is it possible to construct a triangle with the given lengths? 17, 37, 53

Mathematics

1 answer:

kvv77 [185]2 years ago

7 0

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

$17+37>53,\\54>53,\\\text{True}\:\checkmark$

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What is the value of b2 - 4ac for the following equation?<br><br> 2x 2 - 2x - 1 = 0

NikAS [45]

$2x^2-2x-1=0$
$\Delta=b^2-4ac$

$\Delta=(-2)^2-4*2*(-1)=4+8=12$

5 0

3 years ago

Read 2 more answers

Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per

Sholpan [36]

The gross pay per year is $\fbox{\bf\$19697.6}$ .

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as $x$ and net pay as $y$ .

Since the net pay $y$ is 66% of the gross pay $x$ , it can be written as follows:

$\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}$

The net pay per week is given as $250.

Substitute 250 for $y$ in above equation.

$\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}$

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

$\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}$

Thus, the gross pay per year is $19697.6.

Learn more:

1. Interest rates are expressed as a percentage ofhttps://brainly.com/question/3724002

2. Suppose that this individual now decides to give one-eighth of a percent (0.125 %) of her new net worth to charity. how many dollars are given to charity?brainly.com/question/928382

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

4 0

3 years ago

Find in slope standard form 3х – 5y = 10

dexar [7]

Answer:-5y=-3x+10

Divide all by -5

Y= 3/5x+10/-5

Negative divide by negative is positive--3/-5= 3/5

Slope is 3/5 y intercept is -2

Step-by-step explanation:

8 0

2 years ago