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JulijaS [17]
3 years ago
13

5. Ryan Just bought 10 gallons of gasoline, the amount of fuel used for the last 355 miles of driving. Being a curious sort , Ry

an wondered how much fuel had been used in freeway driving (which takes on gallon for each 40 miles) Ryan started by guessing 6 gallons for the city driving , then completed the first row of the guess -and-check table below . Notice the failed check . Make your own guess and use it to fill in the next row of the table. city gallons 6 freeway gal 10 - 6 = 4 check city mi. 6(25) = 150 freeway mi. 4(40) = 160 total mi. 150 + 160 = 310 target 355 no Now write c in the city gallon column, fill in the remaining entries in terms of c, and set your expression for the total mileage equal to the target mileage Solve the resulting equation.

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0
GAllon is ballon
.
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.

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In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?
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4 years ago
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Proof by mathematical induction
Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let  n = k, then:

Sum ( k terms) =  7k^2 + 3k

Now, the sum of k+1 terms  = 7k^2 + 3k + (k+1) th term

=  7k^2 + 3k + 14(k + 1) - 4

=   7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

=  7(k + 1)^2  + 3k  + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the  formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because  7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0
3 years ago
2 1/2x + 1/4 + 3/4x = 1/8
Vinil7 [7]

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6 0
1 year ago
A conic section whose focus is at the pole has the equation r=2/1+cosθ . Which of the following equations is the directrix of th
julsineya [31]

Answer:

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6 0
4 years ago
A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

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Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
4 years ago
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