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sukhopar [10]
3 years ago
7

It costs $0.60 to run a fan for 4 hours. How much does it cost to run the fan for 6 hours?

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

0.90$

Step-by-step explanation:

4hour=0.60

6hour=x

x=(0.60×6)/4

x=0.90$

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Simplify and expand (1/3)to 2nd power × 18 + (1/2)to 2nd power × 4
Pepsi [2]
Step 1. Use Division Distributive Property ( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }

Step 2. Simplify 3^{2} to 9

\frac{1}{9} *18+( \frac{1}{2} ) ^{2}*4 


Step 3. Use Division Distributive Property  ( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }

\frac{1}{9} *18+ \frac{1}{ 2^{2} } *4

Step 4. Simplify 2^{2} to 4

\frac{1}{9} *18+ \frac{1}{4} *4

Step 5. Simplify \frac{1}{9} *18 to \frac{18}{9}

\frac{18}{9} + \frac{1}{4} *4

Step 6. Simplify \frac{18}{9} to 2

2+ \frac{1}{4} *4

Step 7. Simplify \frac{1}{4} *4 to 1

2+1

Step 8. Simplify

3

Done! Your answer is 3 
6 0
3 years ago
What fraction of a ton is equivalent to 1,000 pounds
Alexus [3.1K]
1/2 ton would be the correct answer since a single ton is 2,000 lbs
7 0
3 years ago
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
Find x in the given circle where o is the centre of the circle?​
artcher [175]

Answer:

X as an angle will be equal to 140°

Step-by-step explanation:

As AO = BO, AOB is an Isosceles triangle which has 2 equal angles OAB=OBA=20°, therefore BOA is equal to 140°

x is the angle opposite to BOA which will have the same angle measure.

5 0
3 years ago
How many pounds are in 3/4 of a ton
Mashcka [7]
3/4 tons = 1500 lbs/pounds
7 0
3 years ago
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