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Mrrafil [7]
3 years ago
7

what are the coordinates of a point on the unit circle if the angle formed by the positive x- axis and the radius is 45°??

Mathematics
1 answer:
Delvig [45]3 years ago
4 0
On the unit circle, the radius is 1 and the trigonometric ratios are:

sin(angle( = y-coordinate / radius = y-coordinate / 1 = y-coordinate = y

cos(angle) = x-coordinate / radius = x-coordinate / 1 = x

Then:

y = sin(angle) = sin(45°) = √2 / 2

x = cos (angle) = cos (45°) = √2 / 2

=> Answer: (√2 / 2 , √2 / 2), which is the option A)
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Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFra
sladkih [1.3K]

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

4 0
3 years ago
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Arlene had 1/3 as many goldfish as Isabelle. Isabelle has 5 times as many goldfish as Bruce. If Bruce had 18 goldfish, how many
kvv77 [185]

Answer: 30 goldfish

Step-by-step explanation: Bruce has 18 goldfish. If Isabelle has 5 times as many goldfish as Bruce she will have 18*5=90 goldfish. If Arlene has 1/3 times as many goldfish as Isabelle she will have 90/3=30 goldfish.

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3 years ago
HELPPPPPPPPP<br><br> Write the quadratic expression to represent the pattern to the right
Lerok [7]

Answer:

  • n^2 + 2n - 1

Step-by-step explanation:

<u>Figure 1</u>

  • 2*2 - 2

<u>Figure 2</u>

  • 3*3 - 2

<u>Figure 3</u>

  • 4*4 - 2

<u>Equation for nth term</u>

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3 years ago
Which number line shows the solution of 5x-8&lt;-3
makvit [3.9K]

Answer:

C

Step-by-step explanation:

It is right

5 0
2 years ago
The surface areas of two similar solids are 1183 and 2023. If the volume of the larger solid is 2333, find the volume of the sma
Sladkaya [172]
A = square root of 1183
A = 34.39

V = 34.4^3
V = 40707.580

Further samples,
<span>Rounding off numbers to their nearest mentioned position allows approximation from the number value itself. </span>

<span>In the number 63, 849 </span><span><span>
1.       </span>Rounding off to the nearest ten thousands would mean the value of 6 which is equal to 60, 000</span> <span><span>
2.       </span>Rounding off to the nearest thousands would mean the value of 3 which is equal to 64, 000</span> <span><span>
3.       </span>Rounding off to the nearest hundreds would mean the value of 8 which is equal to 63, 800</span> 
<span><span>4.       </span>Rounding off to the nearest tens would mean the value of 4 which is equal to 63, 850</span> <span><span>
5.       </span>Rounding off to the nearest ones would mean the value of 9 which is equal to 63, 859.00</span> 

<span>Since there are no decimal values the ones value stays the same. Take note of the rounding off rules between number 0-4 and 5-9.<span> </span></span>

4 0
3 years ago
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