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igomit [66]
2 years ago
14

16 tons 400 pounds divided by 5

Mathematics
1 answer:
tia_tia [17]2 years ago
8 0
Hihi!

The answer is (16 tons 400 pounds) / 5 = 3.24 tons. Just remember that 1  equals 2,000 pounds! If you need me to help more just ask or direct message me!

I hope I helped!
-Jailbaitasmr
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13-+4

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triangle rst is congruent with VST is shown. given Line st is the perpendicular bisector of line RV prove triangle rst is congru
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Answer:perpendicular bisector theorem

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In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated reg
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a. is not found to be significant.

Step-by-step explanation:

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2 years ago
the daily profit in dollars of a specialty cake shop is described by the function P(x)=-3x^2+168x-1920. Where x is the number of
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Answer:

28

Step-by-step explanation:

We have the following function:

f(x)=-3x^{2} +168x-1920

where a=-3, b=168 and c=-1920

In order to calculate the maxium profit for the company, and how many cakes should be prepared in order to reach it, we have to calculate where the parabola's vertex is ubicated. To do so, we use the following formula:

Xv= \frac{-b}{2a}

Xv= \frac{-168}{2.(-3)}

Xv= \frac{-168}{2.(-3)}

Xv= 28

So 28 cakes should be prepared per day in order to maximize profit.

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2 years ago
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Which statements are true regarding triangle LMN? Check all that apply.
dimaraw [331]

Answer:

NM = x

LM = x\sqrt{2}

tan (45) = 1

Step-by-step explanation:

Step 1: Pythagoras Theorem

Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

                                        LM^{2} =LN^{2} +NM^{2}

Step 2: Trigonometric Functions

Only for a right angle triangle following three trigonometric relations are valid

                                        sin (\theta) = \frac{opposite}{hypotenuse}

                                        cos (\theta) = \frac{adjacent}{hypotenuse}

                                    tan (\theta)=\frac{sin (\theta)}{cos (\theta)} = \frac{opposite}{adjacent}

Step 3: Verifying all the possible answers

A: Since, LN = x and using tan (45) =1

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{NM}{x} =1

therefore, NM = x (true)

B: As NM = x therefore it can not be equal to x\sqrt{2\\}.

C: Using Pythagoras Theorem

                                        LM^{2} =LN^{2} +NM^{2}

                                           LM^{2} =x^{2} +x^{2}

                                              LM^{2} =2x^{2}

                                         LM = \sqrt{2x^{2}} = x\sqrt{2}

It can also be proved using trigonometric relation

                                           cos (45) = \frac{x}{LM}

                                            LM = \frac{x}{cos (45)}

As, \frac{1}{cos (45)}= \sqrt{2}

Therefore

                                            LM = x\sqrt{2}

D and E:

Using same approach similar to part A

Since, LN = x and NM = x

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{x}{x} =1

Therefore, tan (45) = 1  and not equal to \frac{\sqrt{2} }{2}

3 0
2 years ago
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