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2 years ago

11

Please help on number 1

1 answer:

Llana [10]2 years ago

3 0

Answer: The y-intercept is 3. The slope is 1.

Step-by-step explanation: Since the y coordinate is intercepting the y axis, the y-intercept is 3. To find the slope, the formula is change of y over change of x. The coordinates on this plane is (0,3) and (-3,0). That means the equation is (3-0) divided by (0-(-3)). That equals 3 divided by 3 which is obviously 1. Mark Brainliest plz!

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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:

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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 $tan59^\circ$ .

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

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