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pishuonlain [190]
3 years ago
9

Determine the position of a given value.

Mathematics
1 answer:
kolezko [41]3 years ago
7 0
-58=-3+(n+1)(-5) 

-58=-3-5n+5 

-58=2-5n 

-60=-5n 

-60/5=-5n/5 

n=12 

-58 \ is \  in \ the \ 12th \ position
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Click the photo to find the measure of each interior angle of the regular polygon
Scorpion4ik [409]
<h3>Answer:  120 degrees</h3>

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

Work Shown:

n = number of sides = 6

i = measure of interior angle

i = 180(n-2)/n

i = 180(6-2)/6

i = 180(4)/6

i = 720/6

i = 120

Each interior angle of this regular hexagon is 120 degrees.

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

Alternative Approach:

E = exterior angle

E = 360/n

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We get the same answer.

3 0
3 years ago
5. A new car is offered for lease for $291 per month for
Elodia [21]

Answer: B

$10,390.75

Step-by-step explanation:

Given that the lease = $291 per month

Lease pay = 291 × 24 = $6984

Time = 24 months

down payment = $458.

The lease allows for 12,000 miles per year and includes a $0.35 per mile charge for miles driven in excess of that amount. 

For the car to be driven a total of 32,425 miles. 

Excess = 32425 - 24000 = 8425 miles

Charges = 0.35 × 8425 = $2948.75

The cost for two years for this vehicle will be

2948.75 + 458 + 6984 = $10390.75

4 0
3 years ago
Gabe drops a hammer from an apartment that is 30 meters above the ground. The height of the hammer in meters, h, after t seconds
anyanavicka [17]

Simplifying
h(t) = -1t2 + -2t + 30

Multiply h * t
ht = -1t2 + -2t + 30

Reorder the terms:
ht = 30 + -2t + -1t2

Solving
ht = 30 + -2t + -1t2

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Divide each side by 't'.
h = 30t-1 + -2 + -1t

Simplifying
h = 30t-1 + -2 + -1t

Reorder the terms:
h = -2 + 30t-1 + -1t

4 0
3 years ago
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