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Daniel [21]
3 years ago
11

12) Find mZVUT if mZVUT = 10x +9, m_BUT = 7x - 1, and mZVUB= 37º.

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

99°

Step-by-step explanation:

  • m∠VUT = 10x + 9
  • m∠BUT = 7x - 1
  • m∠VUB = 37°
  • m∠VUT = ?

<u>We see that</u>

  • m∠VUT = m∠BUT + m∠VUT
  • 10x + 9 = 7x - 1 + 37
  • 10x - 7x = 36 - 9
  • 3x = 27
  • x = 9

<u>Angle VUT measures:</u>

  • 10x + 9 = 10*9 + 9 = 99°
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1/8

Step-by-step explanation:

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3 years ago
Marcel is performing the first test on his company's new electric car. During the test, the electric car reaches a maximum speed
valentina_108 [34]

Answer:

C. The electric car is not moving at 0 seconds and 12 seconds.

Step-by-step explanation:

Given:

The table given is:

x   0   2    4     6      8      10      12  

y   0   45  72   81    72     45     0

From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.

After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.

So, the speed of the car at the start when x=0 is 0 mph as it is at rest at that time.

Also, when the time is x=12\ s, the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.

From the above conclusion, we can say that only option C is correct.

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3 0
3 years ago
Read 2 more answers
Can someone help me!! I’m trying to find equivalent measures! 15!points if you can help!
MaRussiya [10]
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7 0
3 years ago
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vlada-n [284]

Step-by-step explanation:

4csc(2x) = 2csc^2(x) tan(x)

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

4 \frac{1}{sin(2x)}

Also we use identity

sin(2x) = 2 sin(x) cos(x)

4 \frac{1}{2sin(x)cos(x)}

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}

2\frac{sin(x)}{sin^2(x)cos(x)}

2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}

We know that sinx/ cosx = tan(x)

Also  1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified



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3 years ago
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<em><u>Solution</u></em><em><u> </u></em><em><u>1</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

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<em><u>Solution</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

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7 0
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