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masya89 [10]
3 years ago
7

Find the surface area Sphere: area of the great circle ~ 28.6 in2

Mathematics
1 answer:
kari74 [83]3 years ago
6 0
Area of a circle is πr².

Therefore we can get the radius of the great circle (and thus the sphere) by doing √(A / <span>π).
</span>
√(28.6 / <span>π) = 3.017 to 3DP.
</span>

Surface area of a sphere is 4πr².

4<span>π(3.017)</span>² = 114.4 to 1DP
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Suppose you need to deliver 40 terabytes of data to your co-workers in Atlanta (200 km). You have an available 100 Mbps dedicate
Marat540 [252]

Answer: All data will be sent in 89.39 hours

Step-by-step explanation:

Data transfer rate: 100 Mbps=100 \frac{Mb}{s} ×\frac{1Tb}{1024^{2} Mb}×\frac{3600s}{h}=0.3433 \frac{Tb}{h}

The pigeon can fly 1000 km/day and it needs to fly 400 km (round trip).

Pigeon rate: \frac{1000km}{24h}=41.67 \frac{km}{h}

Time of round trip: 400 km÷\frac{1000km}{24h}=9.6 h

So the pigeon can send 1 Tb every 9.6 hours.

If we sum the rates we can get the time for sending all the data:

40 Tb= (0.3433 Tb/h + 1 Tb/9.6h)×t

T= 89.39 hours

8 0
3 years ago
Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, a
dimulka [17.4K]
We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.

5 0
3 years ago
Read 2 more answers
In ΔLMN, m = 390 cm, n = 430 cm and ∠L=134°. Find the length of l, to the nearest centimeter. PLEASE HELP ITS URGENT
BartSMP [9]

Answer:

755

Step-by-step explanation:

DeltaMath

3 0
3 years ago
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

On comparing both sides, we get

\dfrac{4+a}{2}=\dfrac{-1}{2}

4+a=-1

a=-1-4

a=-5

And,

\dfrac{5+b}{2}=\dfrac{3}{2}

5+b=3

b=3-5

b=-2

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0
2 years ago
Miss James has a six square-foot bulletin board in at 12 ft.² bulletin board she wants to cover both boards with index cards wit
irinina [24]
6 divided by 1/4 = 24 + 12 divided by 1/4 = 48, then 48 + 24 = 72
5 0
3 years ago
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