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3 years ago

18 children at park 2 times more boys then girls how many boys at park

Mathematics

1 answer:

Dominik [7]3 years ago

3 0

There are 12 boys at the park

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Evaluate the six trigonometric functions of the angle 0.

Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

$\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2$

$18^2 =10^2+\text{opposite}^2$

$324=100+\text{opposite}^2$

Subtract 100 from both sides.

$224=\text{opposite}^2$

Taking square root on both sides.

$4\sqrt{14}=\text{opposite}$

Using trigonometric ratio formula:

$$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}$

$$\sin\theta =\frac{4\sqrt{14} }{18}$

$$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}$

$$\csc\theta =\frac{18}{4\sqrt{14} }$

$$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}$

$$\cos \theta=\frac{10}{18}$

$$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}$

$$\sec \theta=\frac{18 }{10}$

$$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}$

$$\tan \theta=\frac{4\sqrt{14} }{10}$

$$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}$

$$\cot \theta=\frac{10}{4\sqrt{14} }$

8 0

3 years ago

CAN SOMEONE HELP ME WITH THIS MATH QUESTION ITS ABOUT TRANSLATION

earnstyle [38]

Answer:

(- 4, 1 )

Step-by-step explanation:

A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.

B = (- 5, 4 ), thus

B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )

5 0

3 years ago

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the coordinates of points a and b are (2,4) and (-2,-4) respectively. what is the slope of the line that connects the two points

solmaris [256]

we are given two points as

(2,4) and (-2,-4)

Let's assume

first point as (x1,y1)=(2,4)

so, x1=2 and y1=4

Second point as (x2,y2)=(-2,-4)

so, x2=-2 and y2=-4

now, we can use slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{-4-4}{-2-2}$

now, we can simplify it

$m=2$

so, slope is 2 ..................Answer

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3 years ago

30% of what number is 13.8?

Feliz [49]

The answer is 4.14 hoped that helped

4 0

3 years ago

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What is 0.000001 written as a power of ten?

AleksandrR [38]

$a^{-n}=\dfrac{1}{a^n}\\\\10^{-n}=\dfrac{1}{10^n}=0.\underbrace{000...1}_{n}\\\\\text{examples:}\\\\10^{-2}=\dfrac{1}{10^2}=\dfrac{1}{100}=0.\underbrace{01}_{2} \\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10,000}=0.\underbrace{0001}_{4}\\\\\text{therefore}\\\\0.\underbrace{000001}_{6}=10^{-6}\\\\\text{Answer:}\ \boxed{B.\ 10^{-6}}$

7 0

3 years ago