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lesantik [10]
3 years ago
13

If tan⁡ x= root of 3, and 180°

Mathematics
1 answer:
BartSMP [9]3 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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6 0
2 years ago
A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle
Zinaida [17]

Answer:

The correct answer is 2.912 cm.

Step-by-step explanation:

A company is designing a new cylindrical water bottle.

Volume of a cylinder is given by π × r^{2} × h, where h is the height of the cylinder and r is the radius of the cylinder.

The volume of each bottle will be 211 cm^{3}.

The height (h) of the water bottle be 7.9 cm.

Let the radius of the bottle be r cm.

∴ π × r^{2} × h = 211 ; (π = 3.15)

⇒ r^{2} × 24.885 = 211

⇒ r = 2.912

The radius of the water bottle is 2.912 cm.

4 0
3 years ago
The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters
inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

4 0
3 years ago
I need someone to explain this for me
Novay_Z [31]

Answer:

x = 6

Step-by-step explanation:

Basically 16x + 14 = 180 - 70 because equal angles are subtended by the transversal for two parallel lines.

So, 16x = 96 and x = 6.

<u><em>MARK AS BRAINLIEST.</em></u>

5 0
2 years ago
Read 2 more answers
Kelly saved $150. That is 50% of the money she earned this summer. How much did Kelly earn this summer?
Orlov [11]

Question

Kelly saved $150. That is 50% of the money she earned this summer. How much did Kelly earn this summer?


Answer:

<h2>300$</h2>

Step-by-step explanation:

50% = 1/2 = 0.5

150 is the 50% of the money she earned this summer.

Solution

150 * 2 = 300$


3 0
3 years ago
Read 2 more answers
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