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olga_2 [115]
3 years ago
15

Two cities have nearly the same​ north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c

ommaand the latitude of the second city is 39 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.
Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}

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In the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?​
o-na [289]

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

4x+7y=9              [subtract both sides by 4x]

7y=-4x+9           [divide both sides by 7]

y=-\frac{4}{7}x+\frac{9}{7}

Now, we know the slope is -4/7.

5 0
3 years ago
Someone help me understand how to do this
Wewaii [24]

Answer:

6.7 cm

Step-by-step explanation:

To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...

B = 180° -82° -55° = 43°

Now, you put the numbers you know into the formula given and solve for b.

sin(A)/a = sin(B)/b

sin(55°)/(8 cm) = sin(43°)/b

Cross multiplying gives ...

b·sin(55°) = (8 cm)·sin(43°)

and dividing by the coefficient of b gives you ...

b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm

4 0
3 years ago
Read 2 more answers
Multiply
Cloud [144]

Answer:

12 x^4 + 18 x^3 - 9 x^2 thus D is the correct answer.

Step-by-step explanation:

Expand the following:

3 x^2 (4 x^2 + 6 x - 3)

3 x^2 (4 x^2 + 6 x - 3) = 3 x^2 (4 x^2) + 3 x^2 (6 x) + 3 x^2 (-3):

3 4 x^2 x^2 + 3 6 x^2 x - 3 3 x^2

3 (-3) = -9:

3 4 x^2 x^2 + 3 6 x^2 x + -9 x^2

3 x^2×6 x = 3 x^(2 + 1)×6:

3 4 x^2 x^2 + 3×6 x^(2 + 1) - 9 x^2

2 + 1 = 3:

3 4 x^2 x^2 + 3 6 x^3 - 9 x^2

3×6 = 18:

3 4 x^2 x^2 + 18 x^3 - 9 x^2

3 x^2×4 x^2 = 3 x^4×4:

3×4 x^4 + 18 x^3 - 9 x^2

3×4 = 12:

Answer:  12 x^4 + 18 x^3 - 9 x^2

6 0
3 years ago
Given: are diameters m∠3 = <br> A) 39 <br> B) 78<br> C) 102
Blizzard [7]
I just did this a few seconds ago and the correct answer is 78. The check above the number is green which means its correct. 
8 0
3 years ago
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It takes a ant farm 3 days to comsume 1/2 of an apple.At that rate,in how many days will the ant farm consume 3 apples?
alexgriva [62]

Answer:

18

Step-by-step explanation:

In three days, the ant farm consumed 1/2 an apple. In 6 days the ant farm will consume 1 apple. We can multiply 6 days by 3 for three apples.

6(3)=18 days

5 0
3 years ago
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