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xxTIMURxx [149]
3 years ago
15

There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y

ratio is 3:1. What is a possible coordinate?
Mathematics
1 answer:
abruzzese [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Suppose the radius is 1. The parametric equations for the circle are

x = cosθ

y = sinθ

x:y = 3:1

tanθ = ⅓

cosθ = 3/√(1²+3²) =  3/√10

sinθ = 1/√10

The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).

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Write an expression for "8 times z."
garri49 [273]

Answer: 8z 8(z)

Explanation: well 8 times z is simply 8(z)I don’t really think there is another way

5 0
2 years ago
Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
I am a square. One of my side is 9 feet long. What is my area?
Stella [2.4K]

Hello from MrBillDoesMath!

Answer:

81 ft^2

Discussion:

The area of a square is (length of a side)^2.  In this case,

Area = 9^2 = 81


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


8 0
3 years ago
The level of a lake was 8 inches below normal. It decrease 1 1/4 inches in June and 2 3/8 inches more in July. What was the new
zloy xaker [14]

Answer:

Step-by-step explanation:

1

the initial level is below normal so it is represented by a negative number. the level continued to decrease in June and July so those changes are also represented by negative numbers. find the sum of these values to find what the new level was with respect to the normal level

2

write the mixed numbers as improper fractions

3

get common denominator

4

add the numerators since all the numbers are negative and have a common denominator. write the improper fraction as a mixed number

3 0
2 years ago
Evaluate n + m when n = -24 and y = 0.874.
Flauer [41]

Answer:

-24+m is correct answer

Step-by-step explanation:

In pic

(Credit : Symbolab)

(Hope this helps can i pls have brainlist (crown)☺️)

3 0
3 years ago
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