All categories

3 years ago

How do I do this lol

Mathematics

2 answers:

alexgriva [62]3 years ago

8 0

Answer:

m∠NMO = 60° ⇒ answer (C)

Step-by-step explanation:

∵ ΔNMO is right triangle

∵ MO = 8 , NO = 4√3

∵ sin∠NMO = NO/MO

∴ sin∠NMO = 4√3/8 = √3/2

∴ m∠NMO = 60° ⇒ (30° - 60° - 90° triangle)

stich3 [128]3 years ago

8 0

Answer:

The correct answer is option C. 60°

Step-by-step explanation:

From the figure we can see that triangle MNO is aright angled triangle.

Right angled at N.

To find the value of MN

We have, Hypotenuse² = Base + Height²

MO² = NO² + MN²

MN² = MO² - NO² = 8² - (4√3)² = 64 - 48 = 16

MN = √16 = 4

To find <NMO

Therefore the ratio of sides is

MN : NO : MO = 4 : 4√3 : 8 = 1 : √3 : 2

Therefore the angles are in the ratio

<MON : <NMO : <MNO = 30 : 60 : 90

so <NMO = 60°

Option C. 60° is the correct answer.

You might be interested in

Simplify 1- cos^2 Θ / cos^2 Θ Answers sin2 θ cos2 θ tan2 θ 1

Tems11 [23]

Answer:

Trigonometric identities

$\large \begin{aligned}\cos^2 \theta + \sin^2 \theta & = 1\\\implies \quad \quad \sin^2 \theta & = 1 - \cos^2 \theta\\\\\tan \theta=\dfrac{\sin \theta}{\cos \theta} \end{aligned}$

Therefore, using the identities, the given expression can be simplified as follows:

$\large\begin{aligned}\implies \dfrac{1- \cos^2 \theta}{\cos^2 \theta} & = \dfrac{\sin^2 \theta}{\cos^2 \theta}\\\\& = \tan^2 \theta\end{aligned}$

3 0

1 year ago

Read 2 more answers

Simplify the expression (2 square root sign 27) - (3 square root sign 32)

monitta

Answer:

$3\sqrt{3} - 4\sqrt{2}$

Step-by-step explanation:

The expression (2 square root sign 27) - (3 square root sign 32) is $2\sqrt{27} - 3\sqrt{32}$ .

To simplify, simplify inside the radicals by removing perfect square factors.

$\sqrt{27} =\sqrt{9*3} =3\sqrt{3}$

$\sqrt{32} =\sqrt{16*2} =4\sqrt{2}$

The expression becomes $3\sqrt{3} - 4\sqrt{2}$ .

This cannot be simplified anymore because whats under the radical is not the same.

6 0

2 years ago

What is the circumference of the following circle? Diameter=3 Radius=1.5

Montano1993 [528]

Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14

Step-by-step explanation:

7 0

2 years ago

Solve the equation 2x^2+8x-1=0 by completing the square. Give your answer to 2 decimal places 4 marks

ad-work [718]

Answer:

Step-by-step explanation:

3 0

3 years ago

I need help with all of these pls help me thx for ur time

zavuch27 [327]

Answers:

1: No, 10/12 Simplified is 5/6, and 15/30 simplified is 1/2

2: Yes, 1/5 / 3/5 Simplified is 1/3, and 1/4 / 3/4 simplified is 1/3

3: 60 words, You do 300 divided by 5, and you get 60 per minute

4: 240 words, You take the 60 per minute, and you multiply is by 4.

5: 24 doughnuts, 20x3 is 60 minutes. So, 12 doughnuts in one hour. Multiply is by 2, and you get 24 doughnuts per hour.

6: Walmart, To find out how much it costs, you so 1.25 / 5, and 0.80 / 2. So, Walmart is 0.25 per pack, and Ingles is 0.40 per pack. So, you can automatically tell that Walmart is cheaper, meaning the better buy.

5 0

3 years ago

Read 2 more answers