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Nostrana [21]
2 years ago
9

Find sin(b) in the triangle. A.4/3 B.3/5 C.3/4 D.4/5

Mathematics
1 answer:
DerKrebs [107]2 years ago
7 0

The value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

<h3>What are the trigonometric ratios?</h3>

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

In the given figure, the side opposite to the angle \beta is AC = 4 and the hypotenuse is AB = 5.

So, the sine ratio will be equal to,

\sin \beta=\dfrac{4}{5}

Therefore, the value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

Learn more about trigonometric ratios here:

brainly.com/question/1201366

#SPJ1

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6-x=9 how do you find x
podryga [215]

Answer:

15

Step-by-step explanation:

1- 6-x=9 Place the terms on the correct side; always place terms with x on the left hand side and the others on the right hand side. (when placing on the other side convert from + to - or reversed) (the 6- converted to 6+)

2- x= 6+9= 15 Now work out the sum.

3- x= 15

6 0
3 years ago
1) Jo Anne needs to do a speech in her English class that can't be more than 4 minutes
djyliett [7]

Answer:

( 0 < y < 23 / 6 ) mins

Step-by-step explanation:

Solution:-

We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.

The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:

                              ( 0 < x < 4 ) minutes

Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:

                             10 s * \frac{min}{60 s}  = \frac{1}{6} min

The time taken by Jo Anne to complete her speech in English class can be represented as:

                             y = x - 1/6

Using the range of time that Jo Anne could take in delivering her speech in the class would be:

                                    0 < x < 4

                            0 - 1/6 < y < 4 - 1/6

                            -1/6 < y < 23 / 6

Since time can not be less than zero. We correct the lower limit to " 0 " as follows:

                              ( 0 < y < 23 / 6 ) mins

   

7 0
3 years ago
Gina bought the small plastic boxes below. A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and heigh
STALIN [3.7K]

Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.

Step-by-step explanation:

i took the test

7 0
3 years ago
Read 2 more answers
NEED HELP ASAP PLEASE!!
qwelly [4]

Option D:

$y=\frac{5x-2}{x}

Solution:

Given function:

$y=\frac{-2}{x-5}

To find the inverse of the function.

<u>Inverse of a function:</u>

<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>

$y=\frac{-2}{x-5}

Interchange the variables x and y.

$x=\frac{-2}{y-5}

Now, solve for y.

Multiply both sides by (y - 5).

$x(y-5)=-\frac{2}{y-5}(y-5)

Cancel the common factors, we get

x(y-5)=-2

Divide by x on both sides.

$y-5=-\frac{2}{x}

Add 5 on both sides.

$y=-\frac{2}{x}+5

$y=-\frac{2}{x}+\frac{5}{1}

To make the denominator same, multiply the 2nd term by \frac{x}{x}.

$y=-\frac{2}{x}+\frac{5x}{x}

$y=\frac{-2+5x}{x}

$y=\frac{5x-2}{x}

Option D is the correct answer.

8 0
2 years ago
A new photocopier works 4 times as fast as an old one. When the machines work together, a university can produce all its staff m
Usimov [2.4K]

The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.

In one hour they can make 1/28 of the manuals.

1/(28*5)=1/140 is the rate.

The new photocopier can make all the manuals in 4/140 or 35 hours.

The old one can make them in 140 hours.

6 0
2 years ago
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