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2 years ago

Dividing a Fraction into Equal Groups

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

3 0

Answer:

Each hiker carried the backpack for 1/5 of the total trail distance

Step-by-step explanation:

Three members of a teen hiking group hiked 3/5 of the entire Appalachian trail, each teen carried the backpack the same distance

=> each teen carried the backpack for = (1/3) (3/5) of total Distance = 1/5

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Inverse of g(x) 2x+3

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Step-by-step explanation:

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2 years ago

leah wrote two different fractions with the same denominator.both fractions were less than 1.can their sum equal 1? can their su

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3 years ago

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} }$

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3 years ago

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blagie [28]

Answer:

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Step-by-step explanation:

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2 years ago

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