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4 years ago

If tan⁡ x= root of 3, and 180°

Mathematics

1 answer:

BartSMP [9]4 years ago

5 0

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

If $180^{\circ}$ then angle $x$ is in the III quadrant.

Since $\tan x=\sqrt{3},$ then $x=240^{\circ}\ [180^{\circ}+60^{\circ}]$ (we get angle in the III quadrant)

Consider $\sin (x-210^{\circ}).$

If $x=240^{\circ},$ then

$\sin (240^{\circ}-210^{\circ})\\ \\=\sin 30^{\circ}\\ \\=\dfrac{1}{2}$

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7. Calculate the distance Derek rows his boat if he rows a mile each day for 11 days.

Bogdan [553]

If Derek rows a boat one mile for 11 days, we can solve this using the equation:

11*1=11

So in 11 days, Derek rows 11 miles.

I hope this helps!

8 0

3 years ago

Each deli sandwich made uses 1/4 pound of roast beef. Marisa started with 5 pounds of roast beef and now has 3/4 pounds left.

Iteru [2.4K]

Let us assume the number of sandwiches made by Deli = x
Amount of roast beef required for making 1 sandwich = (1/4) pound
Total amount of beef that Marisa started with = 5 pounds
Amount of beef that was left = (3/4) pounds
Then
[(1/4) * x] + (3/4) = 5
(x/4) + (3/4) = 5
(x + 3)/4 = 5
x + 3 = 5 * 4
x + 3 = 20
x = 20 - 3
= 17
So we can see from the above deduction that 17 Deli sandwiches was made by Marisa. I hope the procedure is clear enough for you to understand.

8 0

4 years ago

Todd has $124 in his checking account. He wrote two checks for $13.96 and $21.67 and transferred $14 into his checking from

dangina [55]

Answer: $74.37

Step-by-step explanation:

7 0

3 years ago

50 points!

DENIUS [597]

Answer:

The right graph is the first one (figure attached).

Note that in a Speed vs Time graph, the constant speed is represented by a line with slope=0 (for example, segment 1), when the speed increases the slope is positive (for example, segment 2) and when the speed decreases the slope is negative (for example, segment 4).

Now, if we want to prove this, let’s read again the problem, dividing each section of the path Marc drove to his work (see figure attached):

1. He slowly pulls out of his driveway at a constant speed

2. and then his speed increases steadily

3. until he reaches the speed limit. He uses cruise control to drive the speed limit (he drives at constant speed)

4. until he comes upon some traffic (usually if you find some traffic you have to derease your spped)

5. He then slows down to a new constant speed.

6. When he gets near his office, his speed steadily decreases until he comes to a stop right in front of his office building (at this point the speed is zero)

6 0

3 years ago

Read 2 more answers

Identify a way in which an individual develops a credible persona, both in person and online.

Y_Kistochka [10]

Answer:

Being reliable

Step-by-step explanation:

Being reliable

Honest

and kind

3 0

3 years ago