Luna drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real life, is 102 centimeters wide in the drawing. What scale did Luna use? 17 centimeters:___meters

Trigonometric functions are the ratio of the different sides of a right-angled triangle. We can say that the coordinates of the point are (-77, 36).

Trigonometric functions are the ratio of the different sides of a right-angled triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given to us

[tex]Sin(\theta) = \dfrac{-77}{85}[/tex]

[tex]Cos(\theta) = \dfrac{36}{85}[/tex]

[tex]Tan(\theta) = \dfrac{-77}{36}[/tex]

As we know that the Tangent(Tan) is the ratio of perpendicular and base. therefore, we can write the function as,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base} = \dfrac{-77}{36}[/tex]

therefore, the length of the perpendicular is 77, while the length of the base is 36.

As given to us that the value of sin is negative, therefore, the perpendicular will be on the negative side of the y-axis. While the value of cos is positive, therefore, the base will be on the positive side of the x-axis.

Thus, we can say that the coordinates of the point are (-77, 36).

Learn more about Trigonometric functions:

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Answer:

B

Step-by-step explanation: just did it gang 100%

Answer:

x=30

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Answer:

  x = 4

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means the ratio of short side to long side is the same for all of the right triangles:

  x/10 = 10/25

  x = 100/25 = 4 . . . . . multiply by 10

_____

Additional comment

You may notice that the two segments of the hypotenuse, x and 25, have a product that is the square of the altitude. Another way to say this is that the altitude is the geometric mean of the segments x and 25.

There are two other geometric mean relations in this geometry:

  the short side at the right is the geometric mean of x and (x+25).

  the long side at the bottom is the geometric mean of 25 and (25+x).

That is, the segments that intersect the hypotenuse are the geometric mean of the two segments of the hypotenuse that they meet.

  geometric mean of A and B is √(AB)

[tex]5(u + 1) - u = 3(u - 1) + 7 \\ 5u + 5 - u = 3u - 3 + 7 \\ 5u - u + 5 = 3u - 4 \\ 4u + 5 = 3u - 4 \\ 4u - 3u = - 4 - 5 \\ u = - 9[/tex]

sorry if this is not correct

Answer:

x=20

Step-by-step explanation:

These these angles are adjacent

because they share a vertex and side. They also form a linear pair meaning they add up to 180 degrees...

x+20+7x=180

Combine like terms

8x+20=180

Subtract 20 from both sides

8x=160

Divide both sides by 8

x=20

Answer:

2

Step-by-step explanation:

A fraction is undefined when the denominator is 0 because division by 0 is undefined.

When x=2, we have 3x-6=0 and the denominator is undefined.

Answer:

2:3 or 2/3

this is a ratio problem

Answer:

2:3?

Step-by-step explanation:

I'm kinda guessing from the question u gave cuz it doesn't really have a lot of information

Answer:

e = 84

Step-by-step explanation:

30 + 12 = e - 42

e = 42 +42

e = 84

Answer: I think it is 8.55

Step-by-step explanation:

have a nice day♥️

Answer:

3

Step-by-step explanation:

[tex]x=\sqrt{2x+3}[/tex]

square both sides:   [tex]x^2=2x+3[/tex]

subtract [tex]2x + 3[/tex] from both sides:  [tex]x^2-2x-3=0[/tex]

factorize:  [tex](x-3)(x+1)[/tex]

Therefore, [tex]x=3 \ and \ -1[/tex]

Substitute found values of [tex]x[/tex] back into original equation:

[tex]3=\sqrt{2\times3+3}=3 \ \ \checkmark[/tex]

[tex]-1=\sqrt{2\times-1+3}=1[/tex]  incorrect!

So answer is [tex]x = 3[/tex] only

Answer:

416

Step-by-step explanation:

Well I know 8 x 100=800 so I did 8 x 400=3,200

Then I added 8 x 10=80 which is 3,280

and from there I did 8 x 6=48

And then what's 3,280+48=3,328 because 3,280+40=3,320 and then add 8=3,328

Hope it helps

Answer:

If we break apart 3,328 and first divide 3,000 by 8 we get 375, and then divide 328 by 8 we get 41, this helps us understand that if we divided 3,328 by 8 we would get 416

Answer:

42.9

Step-by-step explanation:

Something tells me that you want it as fast as possible, but if you need an explanation just ask!

Good luck!

[:

Answer:

58.57 approximately 58.6

Step-by-step explanation:

we've been given the value for line MN as 67.2m and also line AN as 32m so we look for line MA by saying 67.2 minus 32m to give 35.2m

considering the big triangle we have line MN and we have line MP but we don't have line NP to get line NP we use pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

81.9*2= 67.2*2 + x*2

therefore x is 46.8m

note that line NP is equal to line AB therefore line AB is also 46.8m

so we now look at the smaller triangle to find x

that's also pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

x^2 = 38.5^2 + 46.8^2

therefore our value for x is 58.6

Answer:

A

Step-by-step explanation:

Brackets are used to show multiplication.

For A if we multiple out the brackets we get: 5b+10 which means 5 times the sum if b and 2

Answer:

base = 32 cm , height = 40 cm

Step-by-step explanation:

ratio of base : height = 4 : 5 = 4x : 5x ( x is a multiplier )

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] × 4x × 5x = 2x × 5x = 10x²

given A = 640 , then

10x² = 640 ( divide both sides by 10 )

x² = 64 ( take square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

Then

base = 4x = 4 × 8 = 32 cm

height = 5x = 5 × 8 = 40 cm

Answer:

The numbers are 4 and 6

Step-by-step explanation:

Let:

we know that

[tex]x^{2} =(x+2)+10[/tex]

solve for x

[tex]x^{2} -x-12=0[/tex]

We can use the quadratic formula for quadratics in the form [tex]ax^{2} +bx+c=0[/tex]

[tex]x= \frac{-b(+/-)\sqrt{b^{2} -4ac}}{2a}[/tex]

to give us an answer of 4 and -3

Since the question states positive and even we use 4 and that gives us 6 as the other answer
4 and 6

Answer:

4 and 6

Step-by-step explanation:

x = smaller integer

x+2 = larger integer

x² = 10 + (x + 2)

x² = x + 12

x² - x - 12 = 0

factors are:

(x-4)(x+3) = 0

x-4=0;  x = 4

x+3=0;  x = -3

Since the question states the numbers are even and positive we use only the 4 and the next consecutive even integer is 6

Answer:

[tex]g(-3)=-2[/tex]

Step-by-step explanation:

Substitute g(-3) into the function:

[tex]g(-3)=2(-3)+4[/tex]

Multiply:

[tex]g(-3)=-6+4[/tex]

Add:

[tex]g(-3)=-2[/tex]

Answer: -2

Step-by-step explanation:

plug g(x) with -3 so it would be 2(-3) + 4 and then simply and add so 2(-3) equals -6 + 4 is -2

Answer:

hello there the correct answer is 16−2x

Step-by-step explanation:

Answer:

multiply both sides by 4

Step-by-step explanation:

Answer:

- 3/2 is the answer:)

Step-by-step explanation:

Move the constant to the right

Calculate

Divide by both sides

Hope this helps!

A translation 4 units right and 2 units up is done followed by a dilation of 3/2.

Transformation is the movement of  point from its initial location to a new location. Types are rotation, translation, reflection and dilation

Translation is the movement of point up, down, left or right. Dilation is the increase or decrease in the size.

To map circle B onto circle A, first a translation 4 units right and 2 units up is done followed by a dilation of 3/2.

Find out more on Transformation at: https://brainly.com/question/1462871

Answer: All 3 Parts

Part A :

Part B : A translation 4 units right and 2 units up is done followed by a dilation of 3/2

Part C : the two circles are equation congruent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Multiply:

3 × 5 = 25%

Hope this helps!! <3

Step-by-step explanation:

For example, to find the probability that a prime is selected from 1 to 10 requires us to divide the number of primes from 1 to 10 by 10. The numbers 2, 3, 5, 7 are prime,

hope this helps you

please mark me brainliest

Answer:

Hello I'll help you :))!

So there are 21 numbers from 60 to 80 both terms inclusive.

We ignore all even numbers in this range as even numbers can not be prime.

The odd numbers are 61,63,65,67,69,71.73,75,77,79.

So remaining numbers are prime. They are 61,67,71,73,79.

So there are 5 prime numbers in this range.

Step-by-step explanation:

tan a = 9.6/7.2=4/3

a = 53.13

Answer:

,,,

Step-by-step explanation:

Answer: 2/3 is the smallest ratio.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

-x=-15

x=15

105 -24 = 120 - 39

81 = 81

Answer:

X= 15

Step-by-step explanation:

7x – 24 = 8x – 39

39 - 24 = 8x - 7x

15 = 1x

x=15

Answer:

an = a+(n-1) d

this is the rule

Answer:

nth term = 21 - 3n

Step-by-step explanation:

18,15,12,9....

This is an arithmetic sequence.

a= first term = 18

Common difference = d = second term - first term

d = 15 - 18

d = -3

nth term = a + (n-1)d

             = 18 + (n-1)*(-3)

              = 18 + n*(-3) - 1*(-3)

              = 18 - 3n + 3

               = 21 - 3n

-0.1

Explanation:

-3/3(a+c[b+5]-[-6+a])

-3/3(1-4[-6+5]-[-6+1])

-3/3(1-4[-1]-[-5])

-3/3(1 + 4 + 5)

-3/3(10)

-3/30

-0.1

Hope this helps!

Answer:

AX / AB = 6/18 = 1/3

AY / AC = 10/25 = 2/5

They are not similar because the two ratios is not the same.

Step-by-step explanation: