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2 years ago

Using the law of cosines, a=_ rounded to the nearest tenth.

Mathematics

2 answers:

Leya [2.2K]2 years ago

5 0

A^2 = 4.0^2 + 3.7^3 - 2*4*3.7 cos 334

= 4.865

a = 2.2 to nearest tenth.

LiRa [457]2 years ago

5 0

Answer:

<h2>a is 2.21 units, approximately.</h2>

Step-by-step explanation:

If we applied the law of cosines, we would have

$a^{2}=b^{2}+c^{2}-2bc.cosA$

Where:

$b=4.0\\c=3.4\\m\angle A=33\°$

Replacing all these values in the law, we have

$a^{2}=(4)^{2}+(3.7)^{2}-2(4)(3.7)cos33\°\\a^{2}=16+13.69-24.82\\a^{2}=4.87\\a=\sqrt{4.87}\approx 2.21$

Therefore, a is 2.21 units, approximately.

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A merry-go-round has a radius of 18 feet. If a passenger gets on a

bearhunter [10]

Answer:

The angle of rotation is 2.11 °

Step-by-step explanation:

Given as :

The radius of the round path = r = 18 feet

The length of the distance cover by wheel = l = 38 feet

Let The angle of rotation = Ф

Now, According to question

∵ length of the arc of a circle subtending an angle at center = Ф

So,

length of the distance cover by wheel = π × radius × $\frac{\Theta }{180^{\circ}}$

Since 180° = π radian

And π = 3.14

So, length of the distance cover by wheel = 180 °× radius × $\frac{\Theta }{180^{\circ}}$

i.e l = r × Ф

Or, Ф = $\frac{l}{r}$

Or, Ф = $\frac{38 feet}{18 feet}$

Or, Ф = 2.11 °

So, The angle of rotation = Ф = 2.11 °

Hence, The angle of rotation is 2.11 ° Answer

6 0

2 years ago

Using a 16-sided number cube, what is the probability that you will roll a multiple of 4 or an odd prime number? The number 1 is

iogann1982 [59]

<h3>Answer: 0.563 (choice C)</h3>

================================================

Explanation:

E = event space

E = set of outcomes we want to happen

E = rolling a multiple of 4 or rolling an odd prime number

E = {4,8,12,16 3,5,7,11,13}

n(E) = number of items in set E

n(E) = 9, (four multiples of 16+five ways to roll odd prime number)

-----

S = sample space

S = set of all possible outcomes (whether we want them to happen or not)

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}

n(S) = number of items in set S

n(S) = 16

-----

P(E) = probability of event space occurring

P(E) = probability of rolling a multiple of 4 or rolling an odd prime number

P(E) = n(E)/n(S)

P(E) = 9/16

P(E) = 0.5625

P(E) = 0.563

3 0

2 years ago

If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment

Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = $\frac{0.054}{12}= 0.0045$

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest

First compute the Equated monthly installments (EMI) as follows:

$EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21$

Now compute the interest as follows:

$Interest=P\times r\\=15000\times0.0045\\=67.5$

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest

= 453.21 - 67.5

= 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0

2 years ago

Read 2 more answers

check graphically whether the pair of equation 3x-2y+2=0 and 3/2x-y+3=0 is consistent. also find the coordinates of the points w

Sholpan [36]

3x - 2y + 2 = 0 → -2y + 2 = -3x → -2y = -3x - 2 → y = $\frac{3}{2}$ x + 1

$\frac{3}{2}$ x - y + 3 = 0 → -y + 3 = - $\frac{3}{2}$ x → -y = - $\frac{3}{2}$ x - 3 → y = $\frac{3}{2}$ x + 3

These two equations have the same slope but different y-intercepts so they are parallel lines. (aka inconsistent).

Answer: Inconsistent, (0, 1), (0, 3)

3 0

2 years ago

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TiliK225 [7]

Step-by-step explanation:

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5 0

2 years ago