1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
statuscvo [17]

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C</em>".

Using the law of sines we have:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

\frac{sin(113)}{15} = \frac{sin(B)}{8}

Solving for B, we have:

sin(B)=0.4909

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

7 0
3 years ago
In a geometric sequence, a2=2, a3=16, and a4=128.
Oduvanchick [21]

Answer:

an = 1/4(8)^n-1

Step-by-step explanation:

Given the following in a geometric sequence, a2=2, a3=16, and a4=128.

nth term of a sequence = ar^n-1

a is the first term

r is the common ratio

r = a3/a2 = a4/a3

r = 16/2 = 128/16

r = 8

a2 = ar

2 = 8a

a = 2/8

a = 1/4

The nth term by substituting the parameters will be;

an = 1/4(8)^n-1

4 0
3 years ago
Please help I’ll give brainliest
kirza4 [7]

Answer:

50

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
there are 30 students in a math class of the 30 students 30% have an a in math 40% have a b in math how many students have a c i
stepladder [879]

the answer is 9

30 percent of 30 is 9

40 percent of 30 is 12

12+9 =21

30-21 =9

3 0
3 years ago
Read 2 more answers
Work out the circumference of this circle.
Arada [10]

Answer: 52.7856cm

Step-by-step explanation:

Circumference of a circle = 2πr

Note that radius = Diameter / 2 = 16.8/2 = 8.4cm

Circumference = 2πr

= 2 × 3.142 × 8.4

= 52.7856cm

Therefore, the circumference of the circle is 52.7856cm

6 0
3 years ago
Other questions:
  • Listed below are amounts? (in millions of? dollars) collected from parking meters by a security service company and other compan
    5·1 answer
  • Find the two points of segments AB that divide the segment into three congruent parts. Point A has coordinates (0,0) and point B
    5·1 answer
  • At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 20 km/h. How fast is
    14·2 answers
  • 7x-6y=15<br> -9x+6y=-9 Please help out
    10·2 answers
  • Patrick says that .500 is greater than .50 and .5 is he correct?
    13·1 answer
  • Solve for x 7x-4+4y+8=24+31
    7·1 answer
  • Ok answer this question and i'll mark as brainliest and give u a cookie
    11·1 answer
  • Angle 1 and Angle 2 are supplementary. Which equation could you use to find the measure of Angle 2?
    5·1 answer
  • Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​
    7·2 answers
  • Differentiate<br>respect to x, (3x²+2)³​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!