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3 years ago

Simplify the expression (k2)4

1 answer:

6 0

4 times 2= 8. so, 4times k2 = k8. To understand this better, imagine that k equaled 2. That would make the expression above = (2x2)4, which would equal 16. However, since we don't know the value of k, we have to use the numbers that we already have, It would be like solving the expression: (2x2)4 without multiplying the first 2. It would then be 2x8. So, we just simplified it, we didn't solve it.

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Easy brainliest for correct answer 100%

Alik [6]

Answer:

It would be the last option.

8 0

3 years ago

Read 2 more answers

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

Naily [24]

Answers:

Satellite is approximately <u>2446.43 km</u> from station A.
Satellite is approximately <u>2441.61 km</u> 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

Which is the most reasonable way to estimate 26% of 88?

N76 [4]

Answer:

88 x 0.26 = 22.88% or 23%

5 0

3 years ago

Read 2 more answers

Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.

777dan777 [17]

Answer:

d= 4 $\sqrt{2}$ or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = $\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }$

d= $\sqrt{(2-(-2))^{2} + (3-7)^{2} }$

d = $\sqrt{16 + 16}$

d= 4 $\sqrt{2}$ or 5.66

7 0

1 year ago

Convert 359in^2 to square feet. round to 1 decimal place.

klemol [59]

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

<h3>How to apply dimensional analysis in unit conversion</h3>

In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:

y = A · x (1)

Where:

x - Original magnitude, in square inches.
y - Resulting magnitude, in square feet.
A - Conversion factor, in square feet per square inch.

Dimensionally speaking, area is equal to the product of length and length:

[Area] = [Length] × [Length]

And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:

x = 359 in² × (1 ft/12 in) × (1 ft/12 in)

x = 359 in² × (1 ft²/144 in²)

x = 2.5 ft²

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

To learn more on unit conversions: brainly.com/question/11795061

#SPJ1

5 0

1 year ago