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2 years ago

5

At which step did Fatu make an error, if at all?

1 answer:

Elza [17]2 years ago

7 0

Answer:

Step 3

Step-by-step explanation:

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Find the exact value of each expression.<br> sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°

Artyom0805 [142]

$\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\$

$\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45$

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1 year ago

A 360 degree rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. What is the Area of the lawn t

denpristay [2]

Answer:

$Area=121\pi ft^2$ in terms of $\pi$ .

Step-by-step explanation:

A 360 degree rotating sprinkler will water a full circular region of the lawn.

The area of this circular region is calculated using the formula:

$Area=\pi r^2$

where r=11 feet is the radius of the circular region covered.

We substitute the value of the radius into the formula to get:

$Area=\pi \times 11^2$

$Area=121\pi ft^2$ in terms of $\pi$ .

This is approximately $380.1 ft^2$ to the nearest tenth

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Rom4ik [11]

Answer:

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