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pentagon [3]
3 years ago
14

Carl is boarding a plane.

Mathematics
1 answer:
Reil [10]3 years ago
4 0

if this is an actual question could you give the whole thing?

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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.

8 0
3 years ago
Which costs more per gallon? 5 gallons for $12.50 or 11 gallons for $26.40
Effectus [21]

Answer: 5

Step-by-step explanation:

If;

5 gallons = $12.50 / 5 = $2.50/gallon

11 gallons = $26.40 / 11 = $2.40/gallon

In conclusion, 5 gallons cost more per gallon than 11.

6 0
3 years ago
How do i find the average speed for his question: "A bicycle racer rides from a starting marker at 10m/s. She then rides back al
padilas [110]

To find the average speed for the whole race, you just have to add the speed from a starting marker and the speed from the turnaround marker going back and divide it by 2 since there are only two speeds involved.

10 m/s + 16m/s = 26 m/s / 2 = 13 m/s

Therefore, the average speed for the whole race is 13 m/s.

7 0
3 years ago
Read 2 more answers
Solve 7x − 2(x + 1) = 6x + 14. (5 points)<br><br> −12<br><br> 12<br><br> −16<br><br> 16
anygoal [31]

Answer:

C

X=-16

Step-by-step explanation:

5 0
3 years ago
What is the value of a?
kaheart [24]

Answer:

a=\dfrac{16}{3}\ un.

Step-by-step explanation:

In right triangle XZW, the height WY is the geometric mean of segments ZY and XY.

Hence,

WY^2 =ZY\cdot XY,\\ \\4^2=3\cdot a,\\ \\a=\dfrac{16}{3}\ un.

7 0
3 years ago
Read 2 more answers
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