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Maurinko [17]
3 years ago
10

Mohammed and Sultan are standing 15 meters apart on a straight road, both of them are sighting a gate of a building with angle 5

5° and 75° respectively. How far Mohammed is from the gate assuming both stand in opposite direction
Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer: 19 m

Step-by-step explanation: Law of sines

sin(180 - 55 - 75)/15 = sin75/x

x = 15sin75/sin50 = 18.9138... ≈ 19 m

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If angle vuw = 4x+6 and wut = 6x+10 what is the measure of wut
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Answer:

C, 38°

Step-by-step explanation:

ray UW is the angle bisector of ∠VUT

--> m∠VUW = m∠WUT = 1/2 m∠VUT

<=> 4x + 6 = 6x - 10

<=> 6 + 10 = 6x - 4x

<=> 2x = 16

<=> x = 8

So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°

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Read 2 more answers
The measure of position called the midquartile of a data set is found using the formula StartFraction Upper Q 1 plus Upper Q 3 O
irinina [24]

Answer:

35.25

Step-by-step explanation:

Give the data set:

23 37 49 34 35 41 40 26 32 22 38 42

We are expected to calculate the midquartile of the given data set.

22 23 26 32 34 35 37 38 40 41 42 49

First step is to find the lower quartile which comprises of

22 23 26 32 34 35

Here the Q1 is (26+32)/2 = 58/2= 29

Second step to find the upper quartile which comprises of

37 38 40 41 42 49

Here the Q3 is (40+41) /2 = 81/2 = 41.5

Then to find the midquartile which is (Q1+Q3) /2 where Q1 is 29 and Q3 is 41.5

= (29+41.5)/2

= (70.5) /2 = 35.25

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