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damaskus [11]
3 years ago
5

Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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Describe this pattern and Find the next 3 numbers in the pattern 3.5, 13, 41.5, 127, , , . also explain in a easy way how you fi
notsponge [240]

You have:

a_1=3.5,\\ \\a_2=13,\\ \\a_3=41.5,\\ \\a_4=127.

Find

a_2-a_1=13-3.5=9.5,\\ \\a_3-a_2=127-41.5=28.5=9.5\cdot 3,\\ \\a_4-a_3=127-41.5=85.5=28.5\cdot 3=9.5\cdot 3^2.

This gives you the rule how to find next terms:

1.

a_5-a_4=9.5\cdot 3^3,\\ \\a_5-127=256.5,\\ \\a_5=127+256.5=383.5.

2.

a_6-a_5=9.5\cdot 3^4,\\ \\a_6-383.5=769.5,\\ \\a_6=383.5+769.5= 1153.

3.

a_7-a_6=9.5\cdot 3^5,\\ \\a_7-1153=2308.5,\\ \\a_7=1153+2308.5=3461.5.

Answer: next 3 terms are 383.5, 1153 and 3461.5.

6 0
3 years ago
Solve the formula for the indicated variable. show work. please & thank you!!
il63 [147K]

s=\dfrac{1}{2}gt^2\:\:\:\mathrm{divide\:both\:sides\:by\:t^2} \\\dfrac{s}{t^2}=\dfrac{1}{2}g\:\:\:\mathrm{divide\:both\:sides\:by\:1/2} \\\dfrac{\frac{s}{t^2}}{\frac{1}{2}}=g\:\:\:\mathrm{simplify} \\g=\boxed{\dfrac{2s}{t^2}}

Hope this helps.

8 0
3 years ago
two similar triangles have a scale factor of 3:5. the altitude of the larger trangle is 24 inches. what is the altitude of the s
Andreyy89
The altitude of the smaller triangle will be given as follows:
let the altitude of the smaller triangle be x
scale factor of small to large triangle is 3:5
but
scale factor=(length of small Δ)/(length of large Δ)
plugging in our values we get:
3/5=x/24
solving for x we get:
x=3/5×24
x=14.4 inches

Answer: 14.4 inches
7 0
3 years ago
Which equations show direct variation between a and b? Choose all answers that are correct.
djyliett [7]
A.) b = 0.7a
d) 1a = b

These two equation shows the direct variation. with the coefficient of a as the constant of variation.

y = kx ; where k is the constant of variation. y directly varies with x at the rate of k.

b = 0.7a   where b represents y ; a represents x; and 0.7 represents k.
1a = b where b represents y ; a represents x ; and 1 represents k.
4 0
3 years ago
A motion picture camera at normal speed takes 24 pictures per second. How many pictures are in a movie that is 90 minutes long?
ad-work [718]
24 × 60 = 1,440
1,440 × 90 = 129,600

There are 129,600 pictures in a movie that is 90 minutes long.
4 0
3 years ago
Read 2 more answers
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