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3 years ago

Which of the following can be the side lengths of a triangle?

1 answer:

3 0

To solve this question, we need to know the triangle inequality property, which states that the sum of two legs of a triangle is always <em>greater </em>(it can't be equal to) than the third leg. Using this property, we can deduct that the only answer that works is A, 6,6, and 5.

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PLZZ HELP I will give Brain thingy

Leni [432]

I just need to answer two questions

6 0

3 years ago

Read 2 more answers

What is the negative root of 2x^2 + x − 6 = 0

max2010maxim [7]

Hello!

Here we can use the quad formula to solve for the x values or roots.
$x=(-2+or - \sqrt{2^2-4*2*-6})/2*2$ = -2 and 3/2
The negative root for this equation is x=-2

We find the roots of an equation by solving for x by different ways, most common ones being the quadratic formula of x= [-b +/-sqrt(b^2-4ac)]/2a or factoring and setting equal to zero and solving for x value(s) that way. Also the roots are where the graph of the equation crosses the x-axis.

Hope this helps. Any questions please just ask. Thank you kindly

4 0

3 years ago

Factor Quadratics

san4es73 [151]

Step-by-step explanation:

We have x² + 9x + 18 = (x + 6)(x + 3).

5 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

Rufina [12.5K]

Incomplete question. The completed question reads;

The Northville School Board has proposed this budget for the upcoming school year:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

5% to upgrade the computer lab hardware

10% for new instruments for the music department

5% for new sports equipment

After a brief discussion, the school board revised the budget as follows:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

10% to upgrade the computer lab hardware

5% for new instruments for the music department

5% for new sports equipment

In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?

Answer:

<u>getting new instrument</u>

Explanation:

Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.

Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).

Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.

8 0

3 years ago

A tank that measures 40 feet by 36 feet by 18 feet is filled with water to 5/6 of its height. 1/3 of the water is poured out of

rodikova [14]

so assuming the tank is just a big tall rectangular box-like tank.

well, the volume of a rectangular prism is simply the product of its length, height and width. So the volume for this one will be 40 * 36 * 18, or 25920 ft³.

if we fill that up to only 5/6, not the whole tank, how much is 5/6 of 25920? well, is really just their product, namely 21600 ft³.

and then we dump 1/3 of that 21600, how much is that anyway? well 1/3 of 21600 is really just their product, so 7200 ft³.

so we had 21600 ft³ of water, and dumped 7200 ft³, we're left only with 21600 - 7200, or 14400 ft³.

4 0

4 years ago