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Sophie [7]
2 years ago
5

Choose the point on the terminal side of -45°. (-3, -3) (4, -4) (5, 5) (-2, 2)

Mathematics
2 answers:
harina [27]2 years ago
8 0
The angle of -45 its terminal side lies in the fourth quadrant, i.e. the x-coordinates is *positive* and y-coordinates is *negative*

The point (4,-4) is the only one that satisfies that condition


hope that helps
Sladkaya [172]2 years ago
4 0
(4, -4) is the answer

-45<span>° is in quadrant IV and the point (4, -4) is the only point out of the points given that is also in quadrant IV</span>
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Determine the horizontal change of a line with an x-intercept at (-5, 0) and a y-intercept at (0, 4).
Maksim231197 [3]

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8 0
2 years ago
The best equation to graph from is the point slope form of a line. True or false?
djyliett [7]

Answer:

i say yes

Step-by-step explanation:

this is because it will give you the point to start with and the slope so you will already have all the information to graph

3 0
3 years ago
You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the
dem82 [27]

Answer:

Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.

Step-by-step explanation:

When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.

In this question aspect ratio of television is given as 16:9

This can be written as \frac{W}{H}=\frac{16}{9} or W=\frac{16}{9} H

Screen of the T.V. is 65 inch which is the diagonal length of the screen.

We know from pythagoras theorem in a right angle triangle

(diagonal)^{2}=(base)^2+(height)^2

(65)^2=(Base)^2+(height)^2

(65)^2= W^2+H^2 = (\frac{16}{9}H)^2+H^2

(65)= \sqrt{\frac{16}{9}H^2+H^2}\\ 65=H\sqrt{\frac{16}{9}+1}\\ 65=H\sqrt{\frac{25}{9}}\\ 65=\frac{5}{3}H\\ H=39 inches

Now height of the T.V.will be

\frac{W}{H}=\frac{16}{9} \\\\\frac{H}{W}=\frac{9}{16}\\ H=\frac{9}{16}W = (\frac{9}{16})39= 21.94 Inches

now area of the T.V.=W×H=39×21.94=855.66 square inch


8 0
3 years ago
Read 2 more answers
Which pair is made up of prime numbers 11 &amp; 33 , 42 &amp; 56 , 37 &amp; 67, 57 &amp; 97
Cerrena [4.2K]

Answer:

37 & 67

Step-by-step explanation:

11 & 33

  • 11 - 1, 11
  • 11 is prime
  • 33 - 1, 3, 11, 33
  • 33 is composite number
  • 11 & 33 is incorrect

42 & 56

  • 42 - 1, 2, 3, 6, 7, 14, 21, 42
  • 56 - 1, 2, 4, 7, 8, 14, 28, 56
  • Both 42 and 56 are composite numbers
  • 42 & 56 is incorrect

37 & 67

  • 37 - 1, 37
  • 67 - 1, 67
  • Both 37 and 67 are prime numbers
  • 37 & 56 is correct

57 & 97

  • 57 - 1, 3, 19, 57
  • 97 - 1, 97
  • 57 is a composite number, 97 is a prime number
  • 57 & 97 is incorrect
3 0
3 years ago
The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year.
Nesterboy [21]

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula  

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 +\frac{0.04}{1}) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1  + \frac{0.07}{1}) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 +\frac{0.04}{1}) ^1*t = 11000( 1  + \frac{0.07}{1}) ^1*t

(\frac{1.04}{1.07} )^t = \frac{11}{16}

t = 13.15 years

5 0
3 years ago
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