All categories

4 years ago

PLEASE HELLLPPP!!!! WILL GET BRAINIEST!!

Mathematics

1 answer:

Anarel [89]4 years ago

6 0

Answer:

x = 117°, 297°

Step-by-step explanation:

Subtract 1 from both sides of the equation and you have ...

tan(x) = -2

Then the arctangent function tells you ...

x = arctan(-2) ≈ 116.5651°, 296.5651°

x ≈ 117° or 297°

You might be interested in

There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

7 0

4 years ago

Give the coordinates of each point under the given transformation.

vlabodo [156]

Answer:

see below

Step-by-step explanation:

The rotation transformations are ...

90° : (x, y) ⇒ (-y, x)

180° : (x, y) ⇒ (-x, -y)

270° : (x, y) ⇒ (y, -x)

Applying these to the given points, you get ...

9) A'(6, 9)

10) A'(15, 11)

11) A'(9, 6)

12) A'(-11, 15)

13) A'(6, -9)

14) A'(15, -11)

4 0

3 years ago

In ABC the measure of angle a is 2X +3 the measure of angle B is 4X +2 and the measure of angle C is 2X-1 what are the measures

Novay_Z [31]

Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1

The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x + 4 = 180
Subtract 4
8x = 176
x = 22

Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43

Quick check: 47 + 90 + 43 = 180

8 0

3 years ago

Your dinner bill comes to $19.68. Estimate your total cost for dinner with a 5% tax and a 20% tip on the original bill. Justify

barxatty [35]

Estimate:
Bill = $20 approximately.
5% tax on $20 = 20/20=$1
20 % on ($20) = $4
Total cost = $20+1+4 = $25
Total bill = $25 approximately.

Exact calculations
bill = 19.68
tax 5% = 0.98
Tip 20% of original = 3.94
Total bill = 19.68+0.98+3.94 = 24.60

7 0

3 years ago

Use the distributive property to remove the parentheses. -(-4w-x+4)

andrezito [222]

4w+x-4
Because when multiplying by a negative with a negative you will get a positive and multiplying a negative with a positive will get you a negative

6 0

4 years ago