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
zhenek [66]
3 years ago
5

Find the sum of a finite geometric series.

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
3 0

Answer: 17 in.

Step-by-step explanation:

The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is 17 in.

Bumek [7]3 years ago
3 0

Answer with explanation:

⇒Side of largest equilateral triangle in which three equilateral triangles are inscribed = 16 inches

Perimeter of a triangle = Sum of three sides of triangle

Perimeter of equilateral triangle having side length 16 inches = 16 +16+16=48 inches

⇒→Second equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed

 =\frac{16}{2}\\\\=8 inches

Perimeter of equilateral triangle having side length 8 inches = 8 +8+8=24 inches

⇒→Third equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed

 =\frac{8}{2}\\\\=4 inches

Perimeter of equilateral triangle having side length 4 inches =4+4+4=12 inches

⇒→Fourth equilateral triangle which is inscribed in this equilateral triangle having side length half of that equilateral triangle in which it is inscribed

 =\frac{4}{2}\\\\=2 inches

Perimeter of equilateral triangle having side length 2 inches =2+2+2=6 inches

→≡Total Perimeter of all four Equilateral Triangle

  =48 +24+12+6

= 90 inches

You might be interested in
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe
nirvana33 [79]
Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here
5 0
3 years ago
What is meant by the term financial planning?
guajiro [1.7K]

Answer:

<h2>a. Long-term goals are reached over an extended period of time, so your current income does not affect them.</h2>

Financial Planning is determining how you're going to handle your money.  Usually after seeking out it's competition, a company will create goals to ensure that money continues to flows through smoothly after their objectives are set.

<em>I hope this helped you!</em>

5 0
3 years ago
Using the weighted average approach to process costing, floridyne would use what number of equivalent units in 2019 to calculate
timofeeve [1]

Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

<h3>How do we get the equivalent unit labor?</h3>

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

Read more about equivalent unit labor

brainly.com/question/14244838

#SPJ4

4 0
2 years ago
create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4
valentina_108 [34]
Here is one that meets your requirements.

7 0
3 years ago
Find the surface area of the composite figure. 6cm 5 cm 20cm 4cm 12cm 6cm​
Crazy boy [7]

Answer:

644 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)

✔️Surface area of the large rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 5 cm

H = 20 cm

Surface area = 2(6*5 + 6*20 + 5*20)

= 500 cm²

✔️Surface area of the small rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 4 cm

H = 12 cm

Surface area = 2(6*4 + 6*12 + 4*12)

= 288 cm²

✔️area of the surface of the small rectangular prism that joins the larger prism = L*W

L = 12 cm

W = 6 cm

Area = 12*6

= 72 cm²

✅Surface area of the composite figure = 500 + 288 - 2(72)

= 644 cm²

7 0
3 years ago
Other questions:
  • Please help me w/ this problem ! It’s on the picture ! Please help me !
    9·2 answers
  • The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 Ponderosa Pines, how many Aspens are t
    9·1 answer
  • Solve 2 cos theta + 2 = 3 in the interval from 0 to 2pi. Round to the nearest hundredth.
    10·1 answer
  • 1 mile bike ride and each rotation of the tire is 72 inches. How many rotations in a 1 mile trip?
    6·1 answer
  • The sum of three numbers is 132 . the third number is 7 less than the first. the second number is 3 times the third. what are th
    14·1 answer
  • Solve the following equation for h.<br> r+3Q/h=t
    15·1 answer
  • Can i have help on step to -2(8m+8)=-16
    7·1 answer
  • The line m has a slope of 2/3.Which line described below is the only line that could be parallel to line m?
    15·1 answer
  • What is the equation of the graph ?
    9·1 answer
  • I quite don’t get this question and I have 4 minutes remaining
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!