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k0ka [10]
3 years ago
9

Can someone please help me with this?​

Mathematics
1 answer:
nika2105 [10]3 years ago
3 0

Answer:

a

Step-by-step explanation:

for x<2, the slope is negative and y-intercept is 3.5

for x>=2, slope is positive and y-intercept is 4

only a satisfies the condition

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In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.
SVEN [57.7K]

The length of PN is 2.63 feet

<u>Explanation:</u>

<u />

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

tan \alpha = \frac{perpendicular}{base}

tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet

Therefore, the length of PN is 2.63 feet

7 0
3 years ago
Karen reads 20 pages of her book in half hour if she reads about 3 hours of tha
creativ13 [48]

Answer:

120 pages

Step-by-step explanation:

1/2 h ↔ 20 pages

1 h ↔ 40 pages

3 h ↔ 120 pages


8 0
3 years ago
HELP!! What is the exact value of Tangent (pi/12)
Vlad1618 [11]

Answer:

2 - sqrt(3)

Step-by-step explanation:

Split pi/12 into two angles where the values of the six trigonometric functions are known.

tan (pi/4 - pi/6)

Apply the difference of angles identity

\frac{tan(pi/4) - tan(pi/6)}{1 + tan(pi/4)tan(pi/6)}

tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3

Plug in and Simplify

\frac{1-\frac{\sqrt{3} }{3} }{1+1\frac{\sqrt{3} }{3} }

\frac{\frac{3-\sqrt{3} }{3} }{\frac{3+\sqrt{3} }{3} }

\frac{3-\sqrt{3} }{3} *\frac{3}{3+\sqrt{3} }

\frac{3-\sqrt{3} }{3+\sqrt{3}} Need to multiply this by \frac{3+\sqrt{3} }{3+\sqrt{3} }

Expand and simplify numerator: \frac{6}{(3+\sqrt{3} )^{2} }

Expand and simplify denominator: \frac{6}{12+6\sqrt{3}}

Cancel the common factor: \frac{1}{2+\sqrt{3}}

6 0
3 years ago
Read 2 more answers
The set of all points in a plane that lie the same distance from a single point in the plane.
kolbaska11 [484]
<h3>Answer:  Circle</h3>

Explanation:

Imagine that you have a rope staked into the ground at one end. The other end is allowed to move freely. At this freely moving endpoint, imagine white chalk is spread on the grass. The chalk would draw out a circle. Each point on the white chalk circle is the same distance away from the center.

Another example: we have a campfire and campers gather around it. The fire itself is the center. The campers would be on the edge of the circle if they are the same distance away from the fire (eg: all of them 5 feet away from the fire).

3 0
3 years ago
If angle B of a parallelogram measures 67 degrees, what is the measure of angle D?
maw [93]
Then angle D is 67 as all sides and measurements are equal on a parallelogram.
5 0
3 years ago
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