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vazorg [7]
2 years ago
14

Find the reference angle for a rotation of 320°.

Mathematics
1 answer:
Fiesta28 [93]2 years ago
8 0

Answer:

<u>40°</u>

Step-by-step explanation:

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A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess
statuscvo [17]
Let's start by visualising this concept.

Number of grains on square:
1   2   4   8   16 ...

We can see that it starts to form a geometric sequence, with the common ratio being 2.

For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
T_n = ar^{n - 1}
T_{15} = 2^{14} = 16384

Thus, there are 16, 384 grains on the fifteenth square.

The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
S_n = \frac{a(r^{n} - 1)}{r - 1}
S_{15} = \frac{2^{15} - 1}{2 - 1}
S_{15} = 2^{15} - 1 = 32767

Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
6 0
3 years ago
Read 2 more answers
PLZ HELP / FILL IN THE BLANK
klemol [59]

Answer:

16

Step-by-step explanation:

Divide 20 by 100 then multiply it by 80, which gives you 16.

5 0
2 years ago
Unit 2, Lesson 12
Solnce55 [7]

Answer:

the answer for a is 2 and 2/4 which is equal to 2 and 1/2

Step-by-step explanation:

7 0
3 years ago
10]The graph of a function is a line that passes through the coordinates (2, 11) and (8. 14).Which is an equation in terms of x
aksik [14]

We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.

1. We must use the next formula to find the slope

m=\frac{y_2-y_1}{x_2-x_1}

Where (x1, y1) and (x2, y2) are the points.

Now, replacing the points in the formula for the slope

m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}

2. We must replace the slope and one of the points in the next formula

y-y_1=m(x-x_1)

Now, replacing the slope and the point (2, 11)

\begin{gathered} y-11=\frac{1}{2}(x-2) \\  \end{gathered}

3. We must delete the parenthesis and solve the equation for y

\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}

ANSWER:

y=\frac{1}{2}x+10

8 0
1 year ago
When a dice is rolled find the probability of getting a number less than or equal to 6
Dahasolnce [82]

Answer:

100% probability right?

Step-by-step explanation:

a dice only has 6 sides

7 0
2 years ago
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