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sergij07 [2.7K]
3 years ago
8

A) Work out the size of AOD.

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

Answer:

62

31

Step-by-step explanation:

AOD is  right angled triangle, AOC = 90 - 28 = 62

ABC = AOC/2 , it is half the central angle

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An airplane is flying at 455 miles per hour. What is its speed in kilometers per minute?
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Answer:

Step-by-step explanation:

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3 years ago
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A helicopter is at a cruising height of 1,200 feet. Suppose the angle of depression to the landing pad is 15°, which is located
likoan [24]

Answer:

we have a right triangle and to get the internal angle of the right triangle formed at the helicopter we subtract 62 degrees from 90 which equals 28 degrees

we now use the cosine to find the distance (d) from the helicopter

cosine 28 = 85/d

d = 85 / cosine 28 = 85 / 0.8829 = 96.2736 = 96 feet

5 0
3 years ago
Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 139 to 192 cm and
Bumek [7]

Answer:

The weight of an adult male who is 158 cm tall is 59.32 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

\hat y=-105+1.04 x

Here,

<em>y</em> = weight of a person (in kg)

<em>x</em> = height of a person (in cm)

The information provided is:

\bar x=167.77\ \text{cm}\\\bar y=81.54\ \text{cm}\\r(X, Y)=0.201\\p-value=0.045

The significance level of the test is, <em>α</em> = 0.01.

The hypothesis to test the significance of the correlation between height and weight is:

<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.

<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ</em> ≠ 0.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

<em>p</em>-value = 0.045 > 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is no relationship between the height and weight.

Compute the weight of an adult male with height, <em>x</em> = 158 cm as follows:

\hat y=-105+1.04 x

  =-105+(1.04\times 158)\\=-105+164.32\\=59.32

Thus, the weight of an adult male who is 158 cm tall is 59.32 kg.

6 0
3 years ago
A pound of grapes cost $1.98 and a pound of strawberries is $2.45. If I purchased 0.5 pound of grapes and 1.4 pounds of strawber
ozzi

So first let's find the cost of the grapes.

price for half a pound would be half the price. so 1.98/2 = $0.99

then let's find the price for 1.4 pounds of strawberry.

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= $4.42

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2 triflies cost £7<br> how much would 6 cost
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Step-by-step explanation:

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