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2 years ago

15

Divide Whole Numbers and Unit Fractions Which is the quotient of 1/4 ÷ 4 ? Use a number line to help. A number line shows zero,

one-fourth, and one-half. A. 1 1/6 B. 1/2 C. 1 D. 4

2 answers:

AVprozaik [17]2 years ago

7 0

Answer:

1/16

Step-by-step explanation:

¼ ÷ 4

¼ × ¼

1/16

sleet_krkn [62]2 years ago

3 0

1 witch is C as the answer

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Explanation:

To solve this problem, we the distance formula. And this is given as:

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In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of <em>PN </em>and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of <em>OP </em>is $12.3\ feet$ .

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