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jasenka [17]
2 years ago
11

Find the values of x and y using trig

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

Step-by-step explanation:

The triangle is a right angle triangle. This is because one of its angles is 90 degrees.

Let us determine x

Taking 47 degrees as the reference angle,

x = adjacent side

11 = hypotenuse

Applying trigonometric ratio,

Cos # = adjacent side / hypotenuse

# = 47 degrees

Cos 47 = x/11

x = 11cos47

x = 11 × 0.6820

x = 7.502

Let us determine y

Taking 47 degrees as the reference angle,

y = opposite side

11 = hypotenuse

Applying trigonometric ratio,

Sin # = opposite side / hypotenuse

# = 47 degrees

Sin 47 = y/11

x = 11Sin47

x = 11 × 0.7314

x = 8.0454

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The point (-3, 4) is on the line x+4y=13.
lys-0071 [83]

Answer:

yes

Step-by-step explanation:

To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line

- 3 + (4 × 4) = - 3 + 16 = 13 = right side

Hence (- 3, 4) lies on the line x + 4y = 13

5 0
3 years ago
What is the sum of 1/4+1/10
IgorLugansk [536]

Answer:

simplify: 14/40

not simplify: 7/20

I don't know if it's right but i'm trying to help :)

5 0
3 years ago
(15 Points)
Serga [27]

Not direct answer but

this is how I think

radius = 4 so AC is also 4

You can find with this

2π ( 4 ) ( 51°/360°) = Answer

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7 0
3 years ago
PLEASE HELP I WILL BRAINLIST PLEASE
Crank

Answer:

I pretty sure its B.

Step-by-step explanation:

4 0
3 years ago
A random variable follows the continuous uniform distribution between 160 and 340. Calculate the following quantities for the di
Firlakuza [10]

Answer:

a) 0.3889

b) 0.5

c) 0.8333

d) The mean is 250 and the standard deviation is 51.96.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability of finding a value of X higher than x is:

P(X > x) = 1 - \frac{x - a}{b-a}

The probability of finding a value of X between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The mean and the standard deviation are, respectively:

M = \frac{a+b}{2}

S = \sqrt{\frac{b-a}^{2}{12}}

A random variable follows the continuous uniform distribution between 160 and 340.

This means that a = 160, b = 340

a)

P(220 \leq X \leq 290) = \frac{290 - 220}{340 - 160} = 0.3889

b)

P(160 \leq X \leq 250) = \frac{250 - 160}{340 - 160} = 0.5

c)

P(X > 190) = 1 - \frac{190 - 160}{340 - 160} = 0.8333

d)

M = \frac{160 + 340}{2} = 250

S = \sqrt{\frac{340 - 160}^{2}{12}} = 51.96

The mean is 250 and the standard deviation is 51.96.

8 0
3 years ago
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