The total number of logs in the pile will be 255.
What is the sum of an arithmetic sequence?Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.
Then the sum of the arithmetic sequence will be
S = (n / 2)[a₁ + L]
S = (n/2) [2a + (n − 1) d]
A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs.
The common difference is negative 1.
Then the nth term of the arithmetic sequence is given as,
10 = 24 + (n - 1) x (-1)
n - 1 = 14
n = 15
Then the total number of logs in the pile will be
S = (15/2) [24 + 10]
S = 7.5 x 34
S = 255
The total number of logs in the pile will be 255.
More about the sum of arithmetic sequence link is given below.
https://brainly.com/question/25749583
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Pls help me i need a correct amswer
Answer:
9
Step-by-step explanation:
I think
b = base
h = height
A = hb / 2
A = (3*6) / 2
A = 18 / 2
A = 9 units2
A train travels at an average speed of 80 km/h. How long will it take the train to travel 320 km?
Answer:
4 hours
Step-by-step explanation:
If the train travels at ~80 kilometers per hour, you just divide the total distance (in this case, 320 kilometers) by the speed traveled (80 kilometers). 320/80 = 4 hours.
HELP P L Z
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Answer:
one expression equals 5 when so substituting 2for x and the other equals 9 because the expression are not equal.
Hope this helps
Find the surface area of the pyramids
first one:
The surface area of a pyramid can be found using the formula:
Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area
Since the side lengths of the base are equal, the perimeter of the base is:
Perimeter of Base = 4 x Side Length
Perimeter of Base = 4 x 9 = 36 feet
To find the slant height, we can use the Pythagorean theorem:
Slant Height^2 = Height^2 + (1/2 x Side Length)^2
Slant Height^2 = 12^2 + (1/2 x 9)^2
Slant Height^2 = 144 + 20.25
Slant Height^2 = 164.25
Slant Height = 12.81 feet
The base area can be found using the formula for the area of a square:
Base Area = Side Length^2
Base Area = 9^2 = 81 square feet
Plugging in the values into the formula for surface area:
Surface Area = (1/2) x 36 x 12.81 + 81
Surface Area = 218.16 square feet
So the surface area of the pyramid is 218.16 square feet.
second one:
The surface area of a pyramid can be found using the formula:
Surface Area = (1/2) x Perimeter of Base x Slant Height + Base Area
Since the side lengths of the base are equal, the perimeter of the base is:
Perimeter of Base = 4 x Side Length
Perimeter of Base = 4 x 8 = 32 meters
To find the slant height, we can use the Pythagorean theorem:
Slant Height^2 = Height^2 + (1/2 x (Side Length1 + Side Length2))^2
Slant Height^2 = 3.5^2 + (1/2 x (8 + 4))^2
Slant Height^2 = 12.25 + 36
Slant Height^2 = 48.25
Slant Height = 6.94 meters
The base area can be found using the formula for the area of a square:
Base Area = Side Length^2
Base Area = 8^2 = 64 square meters
Plugging in the values into the formula for surface area:
Surface Area = (1/2) x 32 x 6.94 + 64
Surface Area = 107.52 square meters
So the surface area of the pyramid is 107.52 square meters.
Explain and Answer!!!!
Divide the arrow into upper triangle and lower rectangle
area of triangle :-
[tex] \frac{1}{2} \times base \times height[/tex]
[tex] \frac{1}{2} \times 20 \times (15 + 8 + 8) \\ \frac{1}{2} \times 20 \times 31 = 310[/tex]
area of rectangle :-
[tex]length \: \times \: width \\ 15 \times 20 = 300[/tex]
add both the area :-
area of triangle+ area of rectangle = area of arrow
310 + 300 = 610 cm²
PLEASE HELP ASAP
Please find the area of these two!!!!
Answer:
36,800
25
__________________________________________________________
Step-by-step explanation:
~This is how I usually do this normally.~
~4 x 5 x 10 x 23 x 8 = 36,800~
~5 x 5 = 25~
~Hope this helped!~
Answer:
I believe the first one is 125 cm squared and the second one is 175
Step-by-step explanation:
Pls tell me if I am wrong
Hope this helped ~( ̄▽ ̄)~
37. Three married couples have purchased tickets for a play. Spouses are to be seated next to each other, and the six seats are in a row. In how many ways can the six people be seated?
48
1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2
3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4
5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6
6 x 4 x 2 = 48
OR 3 couples possible arrangements 3 x 2 x1 = 6
each couple 2 possible 2 x 2 x 2 = 8
therefore 6 x 8 = 48
ill give brainly but hurry
Answer: I beileve its skewed left after all most of the dots are on the left
Step-by-step explanation:
Answer:
This looks like a skewed right plot.
The following figures are similar. Find the value of x.
PLEASE HELP I CURRENTLY HAVE AN F BUT I WONT ANYMORE IF YOU HELP ME
(If you can help me with my Graphing Coordinations question please do!)
Answer:
x = 10
Step-by-step explanation:
Both obects are similar right. That means that they must have similar angles, similar sizes and similar scale factors.
For me by just looking at the figires I can conclude a similar scale factor which is 1.7. However we are going to calculate the scale factor.
First we must take notice that the triangle D'E'F' is an enlargement. So to find the scale factor we must the same sides of both triangle and divide the larger sid by the smaller side.
68 ÷ 40 = 1.7
Now that we have the scale factor (1.7) we can now find x.
The similer side D'F' = 17 and DF = x.
We are gonna use the scale factor to divide D'F' to find DF.
17 ÷ 1.7 = 10
Therefore x is 10
HELP PLEASE I NEED IT TO FINISH THIS ASSIGNMENT
Answer:
D. 1 3/4
Step-by-step explanation:
Help me with this question please! how can you use multiplication to solve system of equations with the linear combination method? Edge answer please, Thank you!
Answer:
Put both equations into standard form (Ax+By=C).
Multiply one or both of the equations by a number so that you will have opposite coefficients on the same variable.
Add the two equations together. Add the x's, the y's, and the numbers.
Solve for the variable.
Take your answer from the last step and plug it into of the equations (pick the one that looks easiest).
Your solution will be in the form of a coordinate point (x,y).
Step-by-step explanation:
Susan is buying 5 and a half pies from the market. Write this amount as a mixed number, improper fraction, decimal and percent.
Mixed Number:
[tex]5\frac{1}{2}[/tex] or 5 1/2
Improper fraction:
2x5+1=11
[tex]\frac{11}{2}[/tex] or 11/2
Decimal:
5.5
5.5 because 5 is whole number, and then, 5 tenths because 5 is half of 10.
Percent:
1 whole = 100%
100% x 5 = 500%
500% + 50% (1/2) = 550%
550%
53 POINTS and brainly
Which data set contains an outlier?
{6.1, 6.8, 7.3, 8, 9.1, 9.5}
{14, 15, 16, 20, 22, 25, 51}
{30, 31, 31, 32, 34, 37}
{11, 12, 12, 12, 13, 13, 14, 14}
given the function f(x) = x2 - 4 + 3, what is the output of f(-3)?
x2(second power)
A). 24
B). 21
C). 0
D) -3
Answer: 0
Step-by-step explanation:
Brainly patrol pls don’t delete
-(-9)_l-9l is it grater than or less than or eqaul to?
Answer:
Equal to
Step-by-step explanation:
Hello!
Let's simplify the left side:
- ( -9 ) 9Remember that the negative sign also means opposite, so the opposite of negative 9 is positive 9.
Let's simplfy the right side:
| - 9 |9Remember that in an absolute value bracket, any positive value stays positive, but any negative value turns to the positive value.
So the inequality is 9 _ 9
Therefore the sign should be "=" as 9 is equal to 9.
Can someone please help me asap!
19. In a "TriboNcci" sequence, each number after the third number is the sum of the preceding three numbers. For example, if the first three numbers are 5,6, and 7 , then the fourth number is 18 because 5 + 6 + 7 = 18, and the fifth number is 31 because 6 + 7 + 18 = 31. The first five numbers of another TriboNcci sequence are P, Q, 86, 158, and 291 in that order. What is the value of P ?
Answer: each number after the third number is the sum of the preceding three numbers. For example, if the first three numbers are 5, 6, and 7, then the fourth number is 18 because 5 + 6 + 7 = 18 and the fifth number is 31 because 6 + 7 + 18 = 31.
Step-by-step explanation:
im not good with math
Answer:
59°
Step-by-step explanation:
The total of all the angles in a triangle should amount to 180°. So:
64° + 57° = 121°
180° - 121° = 59°
What is the ratio of black circles to white circles?
5:3
3:5
3:2
2:3
Answer:
Your answer is: 3:2
Step-by-step explanation:
You can see this because there are 3 black circles shown, and 2 white circles.
Since it goes from black to white you first do black which is 3, then to white which is 2.
Meaning you answer is:
B: 3:2
5/3=t/6
find the value of "t"
Answer:
[tex]t = 10[/tex]
Step-by-step explanation:
Step 1: Cross Multiply
[tex]\frac{5}{3} = \frac{t}{6}[/tex]
[tex](5 * 6) = (3 * t)[/tex]
[tex]30 = 3t[/tex]
Step 2: Divide both sides by 3
[tex]\frac{30}{3} = \frac{3t}{3}[/tex]
[tex]10 = t[/tex]
Answer: [tex]t = 10[/tex]
Assessment started: undefined.
Item 1
What is the absolute deviation of 30 in this data set?
{26, 35, 27, 30, 22}
2
3
5
8
Assessment navigation
Answer: The answer is 2
Step-by-step explanation:
I took the k12 test. If I'm right please mark brainliest!
Which linear function models the line on the graph?
Answer:
y = -2/3x + 20
Step-by-step explanation:
Two things we notice about the graph :
Y-intercept is 20Slope is negativeAccording to the options, feature 1 is incorrect in options 1 and 4, and feature 2 is incorrect in option 3.
Hence, the correct option is :
y = -2/3x + 20
PLEASE NEED HELP RIGHT NOWW
(giving 20 points)
Answer:
Part b is 80?
Step-by-step explanation:
i have no idea how i got this answer but yeah i just did math
calculate the volume of the following figure
Answer:
24 Units Cubed
Step-by-step explanation:
Start with the face of your 3D shape, which has a length/width of 3 units and a height of 4 units. Then look at the visible side of your figure, in this case it is the right side. You can see it's width/length of 2 units, so multiply 4x3x2, and in this case 4x3=12 and 12x2 is 24. making your answer 24 units cubed.
Answer:
24
Step-by-step explanation:
A=L×B×H
4×3×2
24UNITS^2
35. Refer to Example 3. How many hands will have exactly three kings?
Please help!
A net of a rectangular prism is shown below. The surface area of each face is labeled.
Problem
Which values represent the dimensions, in meters, of the rectangular prism?
A.3, 4, 10
B. 12, 30, 40
C. 2, 6, 8
D. 2, 5, 6
Answer:
b i think
Step-by-step explanation:
because if you make it into a prism, the dimensions are basically the same
Which equation shows a proportional relationship between x and y?
Find the radius of the circle with the given diameter.
1. 10 inches
Answer:
5 inches
Step-by-step explanation:
the diameter is just Rx2 (R being the radius)
and the radius is D divided by 2 (D is the diameter)
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.
Answer:
length is 6
width is 24
width is 36
Step-by-step explanation:
sorry its late
Janice drew one card from a standard deck of 52 cards. What fraction of the deck of cards is red?
A. 1/3
B. 1/2
C. 3/4
Answer:
b. 1/2
Step-by-step explanation: