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3 years ago

Using the primary trigonometric formulas you learned in Lesson 1, explain why the equation cos q = 1.4 has no solutions.

Mathematics

1 answer:

AysviL [449]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

For the equation to have solutions , then

- 1 ≤ cosq ≤ 1

Since cosq = 1.4 ( out with limits )

Then the equation has no solutions

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PLZ HELP ME ITS DUE RIGHT NOW woth 18 points

Anika [276]

Answer:

The answers to the first question are A,C,D

The answer to the second question is YZ=16

Step-by-step explanation:

(1st Question)

Since <K and <M Are equal, and both <L's are equal, KL and ML are congruent (Answer choice) because of the ASA postulate.

You need to create the following equation to find the length of KN and MN 7x-4=5x+12

(Get the "x" variable to one side)

2x-4=12

(Isolate the variable)(Remove the 4)

2x=16

(Divide the 2 by itself to remove it from the x, remember to divide both sides by 2)

x=8 (Answer Choice)

Plug in the x value into each equation

KN= 7(8)-4

KN= 56-4

KN= 52

MN= 5(8)+12

MN= 40+12

MN= 52 (Answer Choice)

MN=KN

(Second Question)

Since XWY(20) is half of XWZ(40), ZWY also equals 20.

This now proves the triangle is congruent by the AAS postulate.

Since the triangles are congruent, if XY = 16, YZ also equals 16.

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3 years ago

Which statement best describes the equation y = 3 - 4x?

Ronch [10]

The correct answer is C. A linear equation is written in y=mx+b, which this equation can be. y=3-4x is the same as y=-4x+3, which is a linear function.

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2 years ago

12p+ 15 - 13 - 12p<br><br> And show me how you got the answer

dezoksy [38]

Answer:

Step-by-step explanation:

According to me, you would just have to combine like terms and simplify them as much as possible.

12p + 15 - 13 - 12p

12p - 12p + 15 - 13

0 + 15 - 13

0 + 2

Hope this helps :D

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3 years ago

What is the slope of the line?

White raven [17]

Answer:

$-\frac{2}{3} x$

Step-by-step explanation:

Hey there!

To find slope, you take $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case

y2: 6

y1: 4

x2: -3

x1: 0

Now we plug in this information

$\frac{6-4}{-3-0} \\\\\frac{2}{-3} \\\\-\frac{2}{3}$

Since this is the slope, you have to add a "x"

So, the slope is $-\frac{2}{3} x$

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2 years ago

The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos

Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

$c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b}$ (1)

Where:

$x$ - Proportion of the paint that is 30 % gloss.
$c_{a}$ - Concentration ratio of the paint that is 30 % gloss.
$c_{b}$ - Concentration ratio of the paint that is 15 % gloss.
$c_{r}$ - Resulting concentration ratio

If we know that $c_{a} = 0.3$ , $c_{b} = 0.15$ and $c_{r} = 0.2$ , then the proportion of the paint that is 30 % gloss is:

$0.2 = 0.3\cdot x +(1-x)\cdot 0.15$

$0.2 = 0.15\cdot x+0.15$

$0.15\cdot x = 0.05$

$x = 0.33$

And the quantity of gallons needed of each paint are:

Paint (30 % gloss)

$V_{a} = 0.33\cdot (3.75\,gal)$

$V_{a} = 1.238\,gal$

Paint (15 % gloss)

$V_{b} = V-V_{a}$

$V_{b} = 3.75\,gal-1.238\,gal$

$V_{b} = 2..512\,gal$

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

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2 years ago

Using the primary trigonometric formulas you learned in Lesson 1, explain why the equation cos q = 1.4 has no solutions.​

Using the primary trigonometric formulas you learned in Lesson 1, explain why the equation cos q = 1.4 has no solutions.