Answer:
1,645 poles
Step-by-step explanation:
Here, we want to calculate the total number of poles
We can have an arithmetic progression here
Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1
Firstly, we calculate the number of stacks which can be obtained using the nth term formula;
Tn = a + (n-1)d
58 = 12 + (n-1)1
58 = 12 + n - 1
58 = n + 11
n = 58-11
n = 47
So we have the stack high up to 47 units
So, using the sum of terms in an arithmetic sequence formula, we have;
Sn = n/2 ( a + L)
where a is the first term 12 and L is the last term 58
Thus, we have
Sn = 47/2( 12 + 58)
Sn = 47/2 * 70
Sn = 1,645
Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm and the base one is 40cm and the base two is 35 cm. Ahmed is finding the area of the building model. What is its area?
PLSSS HELPP
Answer:
Area = 1500 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area= height ×(Base 1 +base 2)
Area = 20 × (40+35)
Area = 20×75
Area = 1500 [tex]cm^{2}[/tex]
what expressions are equivalent to 3-b
Answer:
hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol
wahat is 3556+55432
plaease fast
Answer:
58988
Step-by-step explanation:
3556+55432
=58988
pls help ill give brainleiesr
Answer:
<1 and <3 are vertical angles
Step-by-step explanation:
Vertical angles are formed from the same lines are share a vertex. They are opposite from each other
<1 and <3 are vertical angles
<2 and <4 are vertical angles
Answer:
[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]
Vertical angles are formed from the same lines are share a vertex. They are opposite from each other
● <1 and <3 are vertical angles● <2 and <4 are vertical angles
A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd
scores a 55 on the test.
Select the answer from the drop-down menu to correctly complete the statement.
Based on the mean of 70 and his raw score of 55, Todd's z-score must be Choose
Positive
negative
Answer:
negative
Step-by-step explanation:
calculating the z score by subtracting the mean and dividing by the standard deviation
(55-70)/10= -1.5
It's negative
Savannah is using unit cubes to determine the volume of her desk drawer. What is true about the volume of Savannah's drawer?
Answer:
The volume is 60 cubic units
Step-by-step explanation:
It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.
Each of the cube have dimensions of 1 unit by 1 unit by 1 unit
The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.
Thus the volume of her desk drawer is = 4 x 3 x 5
= 60 cubic units
Minke earned $100 working for h hours in a resuarant. He earns $10 an hour, and recieved $30 in tips. Write an equation using this information.
Answer:
10h + 30 = 100
Step-by-step explanation:
10h + 30 = 100
Answer:
140$
Step-by-step explanation:
So Mike earned 100$ right. So he earns 10$. And got 30$ by Tips The answer is 140$ I hope it helps :)
Help me down below
PLEASE
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
Help. Direct answers pls
Answer:
a₄ = 256
Step-by-step explanation:
Using the given definition , then
a₂ = a₁² = 2² = 4
a₃ = a₂² = 4² = 16
a₄ = a₃² = 16² = 256
Answer:
256
Step-by-step explanation:
a₁ = 2
a₂ = (a₁)² = 2 ² = 4
a₃ = (a₂)² = 4² = 16
a₄ = (a₃)² = 16² = 256
The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?
Answer:
13 Rungs
Step-by-step explanation:
According to the Question,
Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.
And, The first and last rung should be 6 inches from the respective ends.Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.
Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*
Answer:
x>6
Step-by-step explanation:
Convert each measurement to a more appropriate unit. State why you think this is a better
unit to use.
a) Mount Logan, in southwestern Yukon, is 595 900 cm tall.
b) The diameter of an apple is 0.064 m.
c) The largest brown bear, the Kodiak, is 2440 mm in length.
Step-by-step explanation:
a) Mount Logan, in southwestern Yukon, is 5959 m tall.
b) The diameter of an apple is 6.4 cm.
c) The largest brown bear, the Kodiak, is 2.44m in length.
The reason is that we need to use appropriate estimation method and approximation to present a meaningful figures in our life. Take the size of the apple as an example, we won't care it is one mm bigger or smaller.
What are the coefficients in the problem 7a + 5b =c
a and b
5 and c
a,b,and c
7 and 5
Answer:
7 and 5
Step-by-step explanation:
they have variables with them
Answer:
D
Step-by-step explanation:
Need quick help with this math
Answer:
Eleanor and Harold
Step-by-step explanation:
The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:
[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]
Therefore, we have:
[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]
Hector's answer is equivalent but not simplified. However, they are both technically correct.
Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y-3=2(x-10)
Step-by-step explanation:
y-3=2(x-10)
What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin?
Answer:
45
Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.
9
what is the answer for 10(x-7)=y
find the value of unknown angles
Step-by-step explanation:
x=y=75°
y+30=z
105=z
!!!!!!!!!!
Answer:
x = 75 degree , y = 75 degree , z = 105 degree
Step-by-step explanation:
x = 75 degree (being corresponding angles)
x=y (being corresponding angles)
75 = y
substituting the value
y + 30
75 + 30
105 degree
z = y + 30 (being corresponding angles)
z = 105 degree
The maximum number of students in a classroom
is 26. If there are 16 students signed up for the
art class, how many more students can join the
class without exceeding the maximum?
Answer:
10 students
Step-by-step explanation:
The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10
Find an equation of a line that is perpendicular to y = -4x + 3 and passes through the point (4, -1).
Answer:
y = 1/4x - 2
Step-by-step explanation:
y = 1/4x + b
-1 = 1/4(4) + b
-1 = 1 + b
-2 = b
17/18 dived by 2/4 as a reduced fraction
Answer:
1 8/9
Step-by-step explanation:
Hope you enjoy :)
.Find x in the following figure. plss helpp need ans asap!
Answer:
80
Step-by-step explanation:
This is a pentagon (5 sides), n=5
The sum of internal angles equals (n-2)*180 = 540°
We have
A = 90
B = 180-40
C = 180-x
D = 180-60
E = 180-90
Sum all the angles to equal 540°
90 + 180-40 + 180-x + 180-60 + 180-90 = 540
620-x = 540
solve for x
x = 620 - 540 = 80
Answer:
80
Step-by-step explanation:
the answer should be 80 just as mathmate explained
Bye !
When 2(3/5x+2 3/4 is simplified what is the resulting expression
Answer:
A. 1 7/10x+2 1/2y+6
B. 7/10x+2 1/2y+6
C. 7/10x+8 1/2y+6
D. 1 7/10x+4 1/4y+3
Solve the system of equations. Simplify your answer. Write the solution as an
ordered pair. *
2p+59 = 1
5p + 139 = 2
Answer:
(-29,-27.4)
Step-by-step explanation:
2p+59=1
-59 -59
2p=-58
/2 /2
p=-29
5p+139=2
-139 -139
5p=-137
/5 /5
p=-27.4
Work out the surface area of this cylinder.
Height=25
Diameter=12
Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!
Answer:
[tex]Pr(x) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]n = 30[/tex] --- number of rolls
Required
The theoretical probability of rolling: (a) 1 (b) 4 (c) 6 (d) 7
Assume the cube is 6 sided.
The sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
And the probability of each is:
[tex]Pr(x) = \frac{1}{6}[/tex]
Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:
[tex]Pr(x) = \frac{1}{6}[/tex]
PLEASE HELP MEEEEEEEEEEEEE
Answer: 20 ft
Step-by-step explanation:
The mirror is set away from the flagpole on the same scale set away from her.
The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.
This means her size x4 is the size for the flag pole. This checks out because 12x4=48
So to find the height we must do 5x4
5x4=20
Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 27.
Use the variable b for the unknown number.
Answer:
2b-10≤27
Step-by-step explanation:
In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.
[tex]2(b-5)\leq 27\\2b-10\leq 27\\[/tex]
If you wish to solve for b from here, simply isolate the term containing b and solve from there.
I hope this helps! Let me know if you have any questions :)
Answer:
2(x - 5) < 27
Step-by-step explanation:
Equation
2(b - 5)<27
Explanation
Break this down
difference means subtract.
The number is b
and finally for now, the difference between a number and 5 is
x - 5
Twice that difference is
2(x - 5)
And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.
26.999999999999 < 27
So the final result is
2(x - 5) < 27
Which is an equation of the line with
slope that contains the point (6, 4)?
Answer:
y=x-2
Step-by-step explanation:
x=6 and y=4, so simplest equation is y=x-2
You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]
Please help 50 points!
Simplify the expressed
Answer:
Step-by-step explanation:
[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex] rewrite as multiplication
[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex] look to factor
[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex] , difference of 2 squares and perfect square
[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify
2(x+3)
