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finlep [7]
3 years ago
13

What are the coordinates of point L?

Mathematics
1 answer:
aksik [14]3 years ago
8 0

Answer:

(1, -3)

Step-by-step explanation:

Start where the axes meet.  That is the origin (0,)

Move 1 place to the right that is the x coordinate

Move 3 places down that is the y coordinate

(1,-3)

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You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4
Amanda [17]

Answer:

40\ bottle\ caps

Step-by-step explanation:

we know that

The scale is \frac{2.4}{1}\ \frac{cm}{ft}

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

20\ ft=20(2.4)=48\ cm

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

\frac{48}{1.2}= 40\ bottle\ caps

8 0
3 years ago
Genevieve wants to verify that }(5x-20)-(4x-8) is equivalent to x. Which procedure can Genevieve follow to determine if
Gnom [1K]

They aren't equivalent

<h2>Explanation:</h2>

In order to determine whether the expression:

(5x-20)-(4x-8)

is equivalent to:

x

Genevieve needs to follow these steps:

Step 1. Get rid parentheses

5x-20-4x+8

Step 2. Combine like terms

5x-4x-20+8

Step 3. Solve

x-12

So:

x\neq x-12

Therefore, these two expressions aren't equivalent.

<h2>Learn more:</h2>

Writing expressions: brainly.com/question/13894833#

#LearnWithBrainly

4 0
3 years ago
Read 2 more answers
find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)
frutty [35]

Answer:

cosФ = \frac{1}{\sqrt{65}} , sinФ = -\frac{8}{\sqrt{65}} , tanФ = -8, secФ = \sqrt{65} , cscФ = -\frac{\sqrt{65}}{8} , cotФ = -\frac{1}{8}

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

  1. cosФ = \frac{x}{r}
  2. sinФ = \frac{y}{r}
  3. tanФ = \frac{y}{x}
  4. secФ = \frac{r}{x}
  5. cscФ = \frac{r}{y}
  6. cotФ = \frac{x}{y}
  • Where r = \sqrt{x^{2}+y^{2} } (the length of the terminal side from the origin to point (x, y)
  • You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = \sqrt{x^{2}+y^{2} }

∵ x = 1 and y = -8

∴ r = \sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = \frac{x}{r}

∴ cosФ = \frac{1}{\sqrt{65}}

∵ sinФ = \frac{y}{r}

∴ sinФ = -\frac{8}{\sqrt{65}}

∵ tanФ = \frac{y}{x}

∴ tanФ = -\frac{8}{1} = -8

∵ secФ = \frac{r}{x}

∴ secФ = \frac{\sqrt{65}}{1} = \sqrt{65}

∵ cscФ = \frac{r}{y}

∴ cscФ = -\frac{\sqrt{65}}{8}

∵ cotФ = \frac{x}{y}

∴ cotФ = -\frac{1}{8}    

8 0
3 years ago
Ok sorry about all the questions
ss7ja [257]

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

4 0
2 years ago
Read 2 more answers
Very buys a basket of mangoes that is priced $14 before tax. ​ ​The sales tax is 6%. ​ ​What is the total price Avery pays for t
igor_vitrenko [27]

Answer:

Avery needs to pay $14.84

Step-by-step explanation:

When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84

The value to be paid is the product value plus the tax, therefore:

\text{paid} = 14 + 0.84 = 14.84

Avery needs to pay $14.84

6 0
3 years ago
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