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
Dima020 [189]
3 years ago
10

A stack of logs has 27 logs on the bottom layer each subsequent layer has five fewer logs in the previous layer at the top layer

has to logs how many total Boggs are thereal
Mathematics
1 answer:
Alinara [238K]3 years ago
3 0

Answer:

S=252logs

Step-by-step explanation:

bottom layer has a1 = 25

second layer has a2 = a1 - 1 = 24

third layer has a3 = a2 - 1 = a1 - 2 = 23

.

.

n-th layer has an an = a1 - n = 25 - n

the top layer contains an = 25 - n and we know that the top layer has 11 logs thus

25 - n = 11

n = 25 - 11

n = 14

there are 14 layers

the total number of logs is the sum of the first 14 members of the Arithmetic Progression 25, 24, 23, 23,.....11 where

an = 25 - n

Sn = (n/2)(a1 + an) and since n = 14

S14 = (14/2)(25 + 11) = 7*36 = 252

S14 = 252 logs

You might be interested in
Jay is 4 years older than May. May is twice as old as Kay. How old is Jay if Kay is x years old ?
Lina20 [59]

Answer: Jay is 2x + 4 years old

Step-by-step explanation:

May's age = M

Jay's age = J

Kay's age = x

J = M + 4

M = 2x

substitution

J = 2x + 4

Hope it helps <3

6 0
3 years ago
I honestly don't even know where to start //// on his last 4 tests , Danilo scored 55% 78% 84% and 93%. What score should he get
skelet666 [1.2K]

Answer:

The answer to your question is He must get 80%

Step-by-step explanation:

Data

Scores 55%, 78%, 84%, 93% and X

Average 80%

Process

1.- Write a equation to solve this problem

- There are five scores

Score 1 = S1 = 55

Score 2 = S2 =  78

Score 3 = S3 = 84

Score 4 = S4 = 93

Score 5 = S5 = X

Equation

               Average = (S1 + S2 + S3 + S4 + S5) / 5

- Solve for S5

               5 Average = S1 + S2 + S3 + S4 + S5

               S5 = 5 Average - S1 - S2 - S3 - S4

- Substitution

               S5 = 5(80) - 55 - 78 - 84 - 93

- Simplification

               S5 = 400 - 310

- Result

               S5 = 90

5 0
3 years ago
molly ran 2/3 of a mile in 8 minutes . if molly runs at that speed , how long will it take her to run one mile
Tom [10]
It would take her 12 minutes because if you mutipy 2/3 by 3/2 then you get 1 (as in one mile) and then you have to do that to the other side too so then you multiply 8 by 2/3 and get 12
4 0
3 years ago
Read 2 more answers
Hi I need question 5 solved using SOH CAH TOA!
Bond [772]

According to the trigonometric functions, we can see that angle x can be found through the one that involves the adjacent side and the hypotenuse, which in this case is the cos,

cos(x)=\frac{27}{30}

then, if we apply the inverse we can find the value of x,

\begin{gathered} cos^{-1}(cos(x))=cos^{-1}(\frac{27}{30}) \\ x\cong25.8 \end{gathered}

Answer:

x\cong25.8

5 0
1 year ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Akimi4 [234]

Answer:

294 inches squred

Step-by-step explanation:

3 x 10 = 30

3 x 9 = 27

10 x 9 = 90

2(30) + 2(27) + 2(90) = 294

7 0
2 years ago
Other questions:
  • The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in
    6·2 answers
  • Can someone help me with this please, I would really appreciate it, thank you!<br> (Geometry)
    13·1 answer
  • You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided
    6·1 answer
  • What is the solution for the inequality y &gt; |2x-3| +1?
    14·1 answer
  • What's the volume of the figure​
    14·2 answers
  • Help me out please you might need to tap the picture with work and maybe just 30 and 29 is fine
    15·1 answer
  • Select the correct properties of slope below.
    13·1 answer
  • What's the reciprocal of -2?
    7·1 answer
  • 2 in. 4 in. Q. What is the volume of the composite solid? (round to nearest whole number)​
    9·1 answer
  • A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin? The exact årea of either face
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!