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dusya [7]
3 years ago
5

Find the value of each expression using the given information.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Recall that \cos^2\theta+\sin^2\theta=1. So

\sin\theta=\pm\sqrt{1-\cos^2\theta}

Given that both \cos\theta and \tan\theta, and knowing that \tan\theta=\dfrac{\sin\theta}{\cos\theta}, it follows that we should expect \sin\theta>0, so we take the positive root above.

Now

\sin\theta=\sqrt{1-\left(-\dfrac15\right)^2}=\dfrac{2\sqrt6}5

Then

\cot\theta=\dfrac{\cos\theta}{\sin\theta}=\dfrac{-\frac15}{\frac{2\sqrt6}5}=-\dfrac1{2\sqrt6}

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Someone help please!
saveliy_v [14]

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

\frac{AB}{sinC} = \frac{BC}{sinA}

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

\frac{7.8}{sin28} = \frac{BC}{sin62} ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = \frac{7.8sin62}{sin28} ≈ 14.7 m ( to 3 significant figures )

5 0
3 years ago
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.
Alexus [3.1K]
It would need 288 cubes to fill up the prism.
7 0
3 years ago
Read 2 more answers
What is 12+[(14-6)/4]
saveliy_v [14]

Answer:

14

Step-by-step explanation:

THE ANSWER TO THE PROBLEM IS 14

3 0
3 years ago
a grandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. how
vfiekz [6]

Hello There!

As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.

First, we would create an equation based on what the question says, which would look as:

x + x + 2 = 12

2x + 2 = 12

Subtract two from both sides.

2x = 10

The grand daughter is 5 years old and since the grandson is two years older he is 7.

Thus,

The age of the granddaughter is 5

The age of the grandson is 7


7 0
3 years ago
Trish is ordering t-shirts from a website that charges a certain amount per t-shirt plus a flat rate for shipping. The cost for
Lera25 [3.4K]

Answer:

20a. y = 8.75x - 5.99

20b. slop is the cost of each shirt.

20c. I am not to sure on this one so I am going to guess that it means payment to enter the shop.

Step-by-step explanation:

5 0
3 years ago
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