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Nady [450]
2 years ago
7

In ΔNOP, the measure of ∠P=90°, PO = 77, NP = 36, and ON = 85. What ratio represents the cosine of ∠N?

Mathematics
1 answer:
Usimov [2.4K]2 years ago
3 0

Answer:

36:85

Step-by-step explanation:

Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.

According to CAH

Cos∠N = Adjacent/Hypotenuse

Hypotenuse is the longest of the triangle |ON| = 85

Since the opposite side to ∠N is 77, the third side will be the Adjacent side.

Adjacent side will be |NP| = 36

Therefore:

Cos∠N = 36/85

The ratio that represents the cosine of ∠N is 36:85

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Answer:

First Image:         Option D

Second Image:   Option D

Third Image:       Option C

Fourth Image:     Option B

Fifth Image:         Option B

Step-by-step explanation:

<u>First Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 47 = 133°
  • ? is an obtuse angle is any angle greater than 90° which checks the answer

<u>Second Image:</u>

  • A triangle angles adds up to 180°
  • Two angles are already given
  • 72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
  • ? is an acute angle is an angle that measures between 90° and 0°

<u>Third Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 110 = 70°
  • ? is an acute angle is an angle that measures between 90° and 0°

<u>Fourth Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 120 = 60°
  • we are shown a right angle which = 90°
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<u>Fifth Image:</u>

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Learn more about Triangles here: brainly.com/question/4186813

5 0
2 years ago
Solve for a: am=n+p <br><br> Help me
ss7ja [257]

Answer:

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Step-by-step explanation:

just divide by m on both sides

hope this helped!

6 0
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Simplify (9x-1)^-1/2 - (x+2)(9x-1)^-1/2
iren2701 [21]

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

= (9x-1)^-1/2(-1 - x)

= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

3 0
3 years ago
You are running a fuel economy study. One of the cars you find is blue. can travel 35 1/2 miles on 1 1/4 gallons of gasoline. An
IgorLugansk [536]

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

We have the following information:

  • <em>Blue car:</em>

<em>Travels 35 1/2 miles on 1 1/4 gallons of gasoline</em>

  • <em>Red car:</em>

<em>Travels 27 1/5 miles on 4/5 gallons of gasoline</em>

<em />

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

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(35 1/2) / (1 1/4) = 28.4 miles per gallon

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Answer:

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The impulse of bug is more and that of car is small.

momentum changes=change in momentum

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the force exerted by car on the bug will be more than the converse

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Step-by-step explanation:

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