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vazorg [7]
3 years ago
6

Sarah's craft project uses pieces of yarn that are 1/8 yard long. She has a piece of yarn that is 3 yards long. How many 1/8 yar

d peices can she cut and still have 1 1/4 yards left?
Mathematics
1 answer:
Verdich [7]3 years ago
5 0
If she used all of her yarn, she'd have 24 pieces. If she wanted 1.25 left, she'd have ten less because 24 • .125 = 8, and 1/4 of eight = 2, and 2 + 8 = 10.

So she'd have 14 pieces.
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Nataly [62]

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Step-by-step explanation:

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4 years ago
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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
<img src="https://tex.z-dn.net/?f=f%28x%29%3D1%2F3%284-x%29%C2%B2%20what%20is%20the%20value%20of%20f%2816%29" id="TexFormula1" t
STALIN [3.7K]

Answer:

wheneveryouseeanxonthe

rightputa16thatwhatf(16)

means.

f(16)=

3

1

(4−16)

2

f(16)=

3

1

(−12)

2

f(16)=

3

1

(144)

f(16)=48

[isyouranswer]

Step-by-step explanation:

mark me as brainliest.oky?

6 0
3 years ago
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Taya2010 [7]

Answer:

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What trigonometric ratio is defined as the length of the opposite leg divided by the length of the hypotenuse?
aleksley [76]

SOH CAH TOA

Sine is opposite over hypotenuse so you're answer is C.

:)))

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