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Virty [35]
2 years ago
12

A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance trav

eled is 56.923 miles. Part A: How many miles did the hiker travel on the first day
Mathematics
1 answer:
Anastaziya [24]2 years ago
5 0

Answer:

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

  5.6923 = a1·0.9487171

Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

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Explain how to write an equival3nt expresion using the associative property<br><br> 2+(11+y)​
nignag [31]

Answer:

13 + y

Step-by-step explanation:

hope i helped :) !

brainliest pleaseee !!?

3 0
2 years ago
Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun
scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
2 years ago
Which ratio is equivalent to the rate<br> 8 meters<br> 1 second<br> ?
KIM [24]
A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.
5 0
2 years ago
Mark spends a total of $68.82 for 2 pairs of sneakers with the same cost. The sales tax is $5.32. Mark also uses a coupon for $3
shutvik [7]

Each pair of sneakers cost $33.25

Step-by-step explanation:

Given,

Total spent by Mark = $68.82

Sales tax = $5.32

Coupon used = $3.00

Price without sales tax = Total spent - sales tax

Price without sales tax = 68.82 - 5.32 = $63.50

As Mark used coupon, we will add this amount.

Amount of sneakers = Price without sales tax + Coupon used

Amount of sneakers = 63.50+3.00 = $66.50

As this is price of two sneakers, we will divide it by 2;

Cost of one sneaker = \frac{66.50}{2}=\$33.25

Each pair of sneakers cost $33.25

Keywords: subtraction, addition

Learn more about addition at:

  • brainly.com/question/11007572
  • brainly.com/question/11015995

#LearnwithBrainly

5 0
3 years ago
ANSWER ASAP<br><br> x+4.5<br><br> x= 1.2<br><br> A: 3.3<br> B: 6.7<br> C: 5.7
swat32

Answer:

C.5.7

Step-by-step explanation:

plug in the x value then add 4.5 to 1.2 and booyyah

6 0
2 years ago
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