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lbvjy [14]
2 years ago
6

The cities of Singapore (in Asia) and Kigali (in Africa) both lie approximately on the equator. Singapore is at 104° longitude,

and Kigali is at 30° longitude. If the earth is a sphere of radius 4000 miles, use arc length to find the distance between the cities. [Use π = 3.14, and round to the nearest mile.] A) 4880 miles B) 5160 miles C) 5410 miles D) 5650 miles
Mathematics
1 answer:
AlexFokin [52]2 years ago
5 0

Answer:

B) 5160 Miles

Step-by-step explanation: My explanation is that my answer is correct.

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1.Find the dot product of the two given vectors, u=(1,6) and v=(-5,-2) 2. Find the dot product of v=-7i+4j and w=-6i+5j
Svet_ta [14]
The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j

Hence the answer is:
v*w=(-42i+20j)
8 0
3 years ago
Read 2 more answers
9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
gladu [14]

Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

Hence, a) (176.76,172.24), b) 0.976.

8 0
3 years ago
Find the constant of proportionality of the equation 2y = 20x
olganol [36]

Answer:

10

Step-by-step explanation:

We want to find k when y=kx

2y = 20x

Divide each side by 2

2y/2 =20x/2

y = 10x

The constant of proportionality is 10

4 0
3 years ago
You MIGHT have the author been addressing when writing this?
solmaris [256]

Answer:

its b lol

Step-by-step explanation:

6 0
3 years ago
Which rule represent the reduction of a figure?
vazorg [7]

Answer:

Correct option: second one

Step-by-step explanation:

Let's check each option to find the correct one.

First option: x and y increase by 2.3 times, so the figure expands. So this is not the correct option.

Second option: x and y decrease 0.52 times, so the figure is reduced. So this is the correct option.

Third option: x and y are translated by 1/3 of their position, so the figure is not reduced.

Fourth option: x and y increase by 7/2 times, so the figure expands. So this is not the correct option.

Correct option: second one

5 0
2 years ago
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