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2 years ago

For an acute angle θ, the equation sin (θ) = cos (7°)is true. What is the value of θ?

Mathematics

1 answer:

8_murik_8 [283]2 years ago

5 0

Answer:

θ = 83°

Step-by-step explanation:

For acute angles, the sine of an angle is the cosine of its complement, and vice versa.

sin(θ) = cos(90° -θ) . . . . relation between sine and cosine

sin(θ) = cos(7°) . . . . . . . . given

90° -θ = 7° . . . . . . . . . matching arguments of cos( )

θ = 83° . . . . . . . . . add θ -7° to both sides

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For each sequence find the first 4 terms and the 10th term

jolli1 [7]

Answer:For these, n is equal to the term you want. So you substitute the number in for whichever term you want. This means:

a) 1 (1st term) + 5 = 6

2 (2nd term) + 5 = 7

3 (3rd term) + 5 = 8

4 (4th term) + 5 = 9

10 (10th term) + 5 = 15

And so on for b (not going to keep writing the term, I’m sure you get that by now.

b) 2(1) - 1 = (2x1) - 1 = 1

2(2) - 1 = (2x2) - 1 = 3

2(3) - 1 = (2x3) - 1 = 5

2(4) - 1 = (2x4) - 1 = 7

2(10) - 1 = (2x10) - 1 = 19

Hope this helps :)

4 0

3 years ago

Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What wa

Verdich [7]

Answer:

b = $4000

Step-by-step explanation:

Let b represent the bonus amount.

Then the bonus, b, less the three deductions, is represented by

b - 0.30b - 0.30b - 025b, and this comes to $600. Find the value of b.

b - 0.85b = $600, or

0.15b = $600

Then b = $4000

8 0

4 years ago

A tree struck by lightning in a storm breaks and falls over to form a triangle with the ground. The tip of the tree makes a 36°

liraira [26]

Answer: approximately 49 feets

Step-by-step explanation:

The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).

To determine the height of the tree, we will apply trigonometric ratio

Tan # = opposite/ adjacent

Where # = 36 degrees

Opposite = x feets

Adjacent = 25 feets

Tan 36 = x/25

x = 25tan36

x = 25 × 0.7265

x = 18.1625

Height of the tree from the ground to the point where it broke = x = 18.1625 meters.

The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m

To get y, we will use Pythagoras theorem

y^2 = 25^2 + 18.1625^2

y^2 = 625 + 329.88

y^2 = 954.88

y = √954.88 = 30.9 meters

Height of the tree before falling was

18.1625+30.9 = 49.0625

The height of the tree was approximately 49 feets

5 0

3 years ago

You walk into a room with a rabbit eating a carrot, a pig eating slop and a monkey eating a banana. Which is the smartest animal

Readme [11.4K]

Answer:

It's you

Step-by-step explanation:

Well... hopefully you are smarter than a rabbit, or a pig, or a monkey

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3 years ago

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Julli [10]

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3 years ago