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polet [3.4K]
3 years ago
9

Solve the equation for solutions in the interval [0, 2 π). Use algebraic methods and give exact values. Support your solution gr

aphically. cos2x = 0

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

● cos 2x = 0

We khow that Pi/2 equals 0.

So

● 2x = Pi/2 or 2x= -Pi/2

Then:

● x = Pi/4 or x = -Pi/2

So the solutions are:

● x = Pi/4 + 2×k×Pi

● or x = -Pi/4 + 2×k×Pi

Where k is an integer

The picture below has a graphical solution

● Pi/4 is approximatively 0.785 and -Pi/4 is approximatively -0.785

● the output of both Pi/4 and -Pi/4 is 0

So our answer was righr

SSSSS [86.1K]3 years ago
4 0

Answer:

45° or 135°

Step-by-step explanation:

Cos 2x = 0

2x = cos^-1 0

2x = 90° or 270°

x= 45° or 135°

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12^13–12^12+12^11 is divisible by 7 and 19.
fiasKO [112]

Answer:

The statement is true

Step-by-step explanation:

The question is as following :

12^{13}-12^{12}+12^{11} is divisible by 7 and 19, true or false?

The given expression is 12^{13}-12^{12}+12^{11}

Take 12^{11} as a common

12^{13}-12^{12}+12^{11} = 12^{11}*(12^2-12^1+12^0)\\= 12^{11} *(144-12+1)\\=12^{11} * 133\\= 12^{11} * 7 * 19

So, 12^{11} * 7 * 19 divided 7 = 12^{11} * 19

And 12^{11} * 7 * 19 divided 19 = 12^{11} * 7

12^{13}-12^{12}+12^{11} is divisible by 7 and 19 (<u>True</u>)

8 0
3 years ago
Find the measure of each angle indicated.<br> A) 95°<br> C) 26°<br> B) 92°<br> D) 20°
riadik2000 [5.3K]

Answer:

D) 20°

Step-by-step explanation:

Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.

57° + 30° + x = 180°

Simplify: 87° + x =180°

x=93°

By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.

67° + 93° + y = 180°

Simplify: 160° + y = 180°

y=20°

6 0
3 years ago
Read 2 more answers
Find an equivalent 100/25
Varvara68 [4.7K]

Answer:

100/25 = 4

so an equivalent would be 12/3

6 0
3 years ago
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Which graph represents the solution<br><br>8 - 3x ≥ -4​
Vedmedyk [2.9K]

Answer:

3rd option

Step-by-step explanation:

8 - 3x ≥ - 4 ( subtract 8 from both sides )

- 3x ≥ - 12

divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.

x ≤ 4

since ≤ the circle on number line is solid ( not open )

since less than 4 then arrow points left away from 4

the solution is shown on the third graph

6 0
2 years ago
A. Find 18% more than 200<br> B. Find 18% less than 200
stellarik [79]

Answer:

A. 236

B. 164

Step-by-step explanation:

18% of 200= 36

200+36=236

200-36=164

6 0
3 years ago
Read 2 more answers
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