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3 years ago

What is the answer for number 4?

Mathematics

2 answers:

Readme [11.4K]3 years ago

8 0

I believe its 12 since you cut 4 pieces into 3rds and 4x3=12

Diano4ka-milaya [45]3 years ago

7 0

Since we have 4 pieces which we are "cutting into thirds," we can multiply the 4 by 3. This gives us an answer of 12 total pieces. This is because we are increasing the number of pieces we have due to cutting our existing pieces.

However, we could also solve this problem using the diagram that is included. If we were to draw lines to show each piece being cut into thirds, we would want to draw lines that separate each piece into three equal parts.

Now, we can use this diagram we just made by adding lines to determine the number of pieces we now have. Since each piece has now become 3 pieces, and there were 4 total pieces to being with, we have 12 total pieces.

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4) The path of a satellite orbiting the earth causes it to pass directly over two

Naily [24]

Answers:

Satellite is approximately 2446.43 km from station A.
Satellite is approximately 2441.61 km above the ground.

=========================================================

Explanation:

I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.

The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths

AB = 60 km
AD = x
CD = h

Focusing on triangle ACD, we can apply the tangent rule to isolate h.

tan(angle) = opposite/adjacent

tan(A) = CD/AD

tan(86.4) = h/x

x*tan(86.4) = h

h = x*tan(86.4)

We'll use this later in the substitution below.

--------------------

Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say

tan(angle) = opposite/adjacent

tan(B) = CD/DB

tan(B) = CD/(DA+AB)

tan(85) = h/(x+60)

tan(85)*(x+60) = h

tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x

x*tan(85)+60*tan(85) = x*tan(86.4)

60*tan(85) = x*tan(86.4)-x*tan(85)

60*tan(85) = x*(tan(86.4)-tan(85))

x*(tan(86.4)-tan(85)) = 60*tan(85)

x = 60*tan(85)/(tan(86.4)-tan(85))

x = 153.612786190499

--------------------

We'll use this approximate x value to find h

h = x*tan(86.4)

h = 153.612786190499*tan(86.4)

h = 2441.60531869599

h = 2441.61 km is how high the satellite is above the ground.

Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(86.4) = x/AC

cos(86.4) = 153.612786190499/AC

AC*cos(86.4) = 153.612786190499

AC = 153.612786190499/cos(86.4)

AC = 2446.43279498247

AC = 2446.43 km is the distance from the satellite to station A.

6 0

3 years ago

Suppose that you and two friends go to a restaurant, which last month filled approximately 91.7 % of the orders correctly. comp

MrMuchimi

77.1% chance that all 3 orders are correct.
For three independent events to find the probability of each one occurring we multiply the probabilities together. .917*.917*.917 = .77109 or 77.1 percent chance of all three outcomes being favorable.

5 0

3 years ago

9(m-3)+3m=7m+43 help me please

nikdorinn [45]

Answer:

multiply 9 from m and -3

9m - 27 + 3m = 7m + 43