Answer: 6 cm
Step-by-step explanation:
Total surface area of cubical box = [tex]6a^2[/tex] , a= edge length of cube (i)
As per given ,
Total surface area of one box = [tex]\dfrac{\text{Cost of polishing}}{\text{Rate} \times\text{Number of boxes}}[/tex]
[tex]=\dfrac{151200}{20\times35}\\\\=\dfrac{151200}{700}\\\\= 216\ sq. cm[/tex] (ii)
Now from (i) and (ii) ,
[tex]6a^2 = 216\\\\\Rightarrow\ a^2= 36\\\\\Rightarrow\ a= 6 \text{ [By taking square root on both sides]}[/tex]
Hence, the edge of each cubical box = 6 cm.
Write the equation of the line that passes through the points
(
1
,
5
)
(1,5) and
(
9
,
1
)
(9,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y= -1/2x +5.5
Step-by-step explanation:
hope this helps :)
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
Which statement comparing the modes to the ranges is true?
Answer: A. The modes differ by 40 and the ranges differ by 40.
Step-by-step explanation:
The required, modes differ by 40 and the ranges differ by 40. Option A is correct.
To compare the modes and ranges of the given data, let's first find the modes and ranges.
Last Summer:
140, 220, 190, 180, 190
This Summer:
150, 170, 150, 190, 180
The mode is the value that appears most frequently in a dataset, while the range is the difference between the maximum and minimum values in a dataset.
The modes are as follows:
Last summer: The mode is 190 since it appears twice, more frequently than any other value.
This summer: The mode is 150 since it appears twice, more frequently than any other value.
The ranges are as follows:
Last summer: The range is 220 - 140 = 80.
This summer: The range is 190 - 150 = 40.
Now, let's compare the modes to the ranges:
Statement: The modes differ by 40 and the ranges differ by 40. Since the modes differ by 40 and the ranges differ by 40, the statement is true.
Therefore, the correct statement is:
A. The modes differ by 40 and the ranges differ by 40.
Learn more about the mode here:
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The given question is incomplete the complete question is given below:
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180
Which statement comparing the modes to the ranges is true?
A. The modes differ by 40 and the ranges differ by 40.
B. The modes differ by 20 and the ranges differ by 20.
C. The modes differ by 40, but the ranges differ by 20.
D. The modes differ by 20, but the ranges differ by 40.
PLEASE HELP MEEEE! I have no clue what the answer is
Answer:
y = 4x - 4
Step-by-step explanation:
to write a linear equation you need to know 2 components: slope and y-intercept
find slope by selecting 2 points, for example, (1,0) and (2,4)
slope ('m') = difference of y-values 4 - 0 = 4
difference of x-values 2 - 1 1
to find y-intercept ('b'), plug values into the slope-intercept form of a line, which is:
y = mx + b
you need a point and the slope of 4/1; can use any point
we'll use (2,4) where x =2 and y=4 and, again, m = 4
4 = 2(4) + b
4 = 8 + b
-4 = b
If c= 16, solve for b
Answer:
8√3
Step-by-step explanation:
cos30=b/16
equating:
√3/2=b/16
b=8√3
I need helppp!!!!!!!
i dont get that either lol pain. why does school have to be so hard
Determine the number and type of solutions to the equation 5+x+10=0
The answer is -15
x = -15 because 10+5=15 and 15 + -15 = 0
what's the answer to 2/5x + 10 = 30
Answer:
your answer would be 50
Step-by-step explanation:
About 20% of the population experiences "cybersickness. This happens when the images in 3-D movies look so
real they hinder the brain's ability to sort signals and cause people to get nauseated. To find out if this applies to
teens, an SRS of 30 high school students was asked if they experience cybersickness Eight students said "Yes" To
see if this result is surprising, a simulation is conducted to estimate the probability of obtaining a sample result as
high as this
Let 0-1 represent "Yes" and 2-9 represent "No."
42188
55736
50953
82496
41985
07738
Using the line of random numbers, how many "Yes" responses will there be in the first trial of the simulation?
2
4
15
26
Mark this and return
Save and Exit
Next
Sub
Answer:
answer is b, 4
Step-by-step explanation:
The random number lines shows 4, 0-1 numbers that corresponds to the response "yes". Therefore, option b 4 is correct.
What is cybersickness ?Similar to motion sickness, cybersickness is a mix of sensations that develops when there is no actual physical movement. The three types of symptoms are nausea, oculomotor problems, and general disorientation.
Eye strain, weariness, and headaches are examples of oculomotor symptoms that result from overworking the nerve that regulates eye movement.
The symptoms of disorientation can include vertigo and dizziness. Additionally, numerous cybersickness symptoms, including trouble focusing and fuzzy vision, cross over into different categories.
As per the given results, there are two 1s and two 0s in the number lines of the trial. Hence, total response of "yes" is 4.
Find more on motionsickness:
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please help me, marking brainliest if correctly
Answer:
x = -11
Step-by-step explanation:
The measure at angle 2 should equal 80 degrees.
You are given that it is equal to x+91. So,
x+91 = 80
x = -11
PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?
Step-by-step explanation:
so the shape gonna be soo long that I wasted yo ur time
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?
Answer:1.32 s
Step-by-step explanation:
Given
The initial height of ball H=2 m
Initial velocity u=5 m/s
Height of ball at any instant is given by
[tex]H=-4.9t^2+5t+2[/tex]
The ball will hit the ground when h=0
[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]
At a retail store, Alexander's new glasses normally sell for $167,
but he paid only 65% of the retail price. How much did
Alexander's new glasses cost him?
A
$88.35
$108.55
$100.20
none of these
Alexander's new glasses cost would be the amount of $108.55 which is the correct answer would be an option (B).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Alexander's new glasses normally cost $167 at a retailer, but he only paid 65% of the retail cost.
To determine the amount his new glasses cost
We have to calculate 65% of $167 which is the retail cost.
As per the given information, the solution would be:
⇒ 65% of $167
⇒ (65/100)(167)
⇒ (0.65)(167)
⇒ 108.55
Therefore, his new glasses cost would be the amount of $108.55.
Learn more about the percentages here:
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rohan wants a field in the shape of trapezium . its side along the pond is parallel to and double the side along the road .Area of the field is 10200sqm.What is the length of the side along the river?
plss answer, will mark u the brainlliast
Answer:
The length of side along the river is 68 m
Step-by-step explanation:
Area of trapezium = 10200 m²
Length of side along the road (a) = x
Length of side along the river (b) = 2x
Height = 200 m
We need to find Length of side along the river.
The formula used is: [tex]Area\: of\: trapezium=\frac{a+b}{2}\times h[/tex]
Putting values and finding length:
[tex]Area\: of\: trapezium=\frac{a+b}{2}\times h\\10200=\frac{2x+x}{2}\times 200\\10200=2x+2\times 100\\\frac{10200}{100} =2x+2\\102=3x\\x=\frac{102}{3}\\x=34[/tex]
So, Value of x = 34
Length of side along the road (a) = x = 34
Length of side along the river (b) = 2x = 2(34) = 68
So, the length of side along the river is 68 m
What is the surface area of the rectangular prism?
6 in.Bin.9 in
A.348 in 2
B.432 in.2
C.184 in.2
D.174 in 2
Answer:
348 in^2
Step-by-step explanation:
8 x 9 = 72
6 x 8 = 48
9 x 6 = 54
72 + 72 + 48 + 48 + 54 + 54
348
What is 5/3 as a percent
Answer:
%167
Step-by-step explanation:
5 divided by 3 is 1.67 so times that by 100 and you get %167
Answer:
166.666666666667%
Step-by-step explanation:
Convert fraction (ratio) 5 / 3 Answer: 166.666666666667%
Anna and Jose bought a pizza and ate 5 of the 8 slices. Zach and Sarah came over and Anna split the remaining slices evenly between them. How would you determine the fraction of the original pizza that Zach and Sarah each ate?
Answer:
24/2 slices
= 12/1
Step-by-step explanation:
Total slices of pizza = 8
Anna and Jose ate = 5
Slices of pizza remaining = 3
Zach and Sarah came over and Anna split the remaining slices evenly between them
That's is, 3 slices of pizza divided by 2 people
= 3/2
= 1 1/2 slices each
Each of Zach and Sarah ate 3/2 slices of pizza
fraction of the original pizza that Zach and Sarah each ate
= 3/2 of 8
= 3/2 × 8
= 24/2
= 12/1
4. Find the value of (a + b)) and (a - b), if a = 5 and b = 7.
Answer:
if a=5 and b=7 so (a+b)=(5+7)=12
(a-b)=5-7= -2
Answer:
(a+b) =12
(a-b) =. - 2
Step-by-step explanation:
You will put the numbers given as a=5 and b=6
In to the value of (a+b) and (a-b)
So it will be
*(a+b) =(5+7)
=(12)
*(a-b) =(5-7)
=(-2)
PLEASE HELP ILL MARK BRAINLIEST IF RIGHT THANKS!!
A teacher presented students with four tables.
Table 1
A 2-column table with 3 rows titled Table 1. Column 1 is labeled x with entries 2, 6, 8. Column 2 is labeled y with entries 1, negative 1, negative 2.
Table 2
A 2-column table with 3 rows titled Table 2. Column 1 is labeled x with entries 0, 2, 6. Column 2 is labeled y with entries 8, 4, negative 4.
Table 3
A 2-column table with 3 rows titled Table 3. Column 1 is labeled x with entries negative 4, negative 2, 2. Column 2 is labeled y with entries 4, 5, 7.
Table 4
A 2-column table with 3 rows titled Table 4. Column 1 is labeled x with entries negative 2, 0, 4. Column 2 is labeled y with entries 0, 4, 12.
Which table describes a linear function that has a slope of 2?
Answer:
Tabel 4 :)
Step-by-step explanation:
Graph the function f(x) = 4x - 5.
Answer:
On (1.25,0) and (0,-5)
Step-by-step explanation:
Does anyone know the answer?
Answer:
We conclude that the area of the right triangle is:
[tex]A\:=p^2-2p-3[/tex]
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Base = p+1Perpendicular = 2p-6Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
[tex]=\frac{1}{2}\left(p+1\right)\left(2p-6\right)[/tex]
Factor 2p-6: 2(p-3)
[tex]=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}[/tex]
Divide the number: 2/2 = 1
[tex]=\left(p+1\right)\left(p-3\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)[/tex]
[tex]=pp-3p+1\cdot \:p-1\cdot \:3[/tex]
[tex]=p^2-2p-3[/tex]
Therefore, we conclude that the area of the right triangle is:
[tex]A\:=p^2-2p-3[/tex]
Hence, option A is correct.
Write an equation for the nth term of the arithmetic sequence. Then find a30.
11, 10, 9, 8,
Answer:
a₃₀ = - 18
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = a₂ - a₁ = 10 - 11 = - 1, then
[tex]a_{n}[/tex] = 11 - (n - 1) = 11 - n + 1 = 12 - n , thus
a₃₀ = 12 - 30 = - 18
Which best describes this fraction when converted to a decimal: 1/3
Answer:
1/3 to decimal is 0.333333 repeating decimal
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{In order to CONVERT FRACTION to a DECIMAL, you have}\\\large\text{to divide the numerator (the top number) from the denominator}\\\large\text{(the bottom number).}[/tex]
[tex]\bold{\dfrac{1}{3}= 1\div3\rightarrow 0.33333333333}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 0.33333333333}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
How much does Celeste get paid an hour?
help me pls
Answer:
$20 per hour
Step-by-step explanation:
1500 - 500 = 1000
1000 divided by 50 = 20
To check:
20 x 50 = 1000
The nucleus of an atom is composed of
Answer:
neutrons and protons
Step-by-step explanation:
A worker is stacking boxes.One stack has boxes that are 2 inches high. The other stack has boxes that are 5 inches high. At what height will the two stacks of boxes be equal in height?
Answer:
10 inches.
Step-by-step explanation:
One stack has boxes that are 2 inches high, then the height of this stack can be only multiples of 2 inches.
The other stack has boxes that are 5 inches high, then the height of this stack can be only multiples of 5 inches.
The height of both stacks will be the same for all the common multiples of 2 and 5.
Because 2 and 5 are prime numbers, all the common multiples between 2 and 5 will be direct products of these two numbers.
Like 2*5 = 10
is both a multiple of 2 and 5 (is the first common multiple)
Then we can use stacks of 10 inches.
Such that, for the stack where each box is 2 inches high, we need:
10in/2in = 5
5 boxes.
And for the stack where each box is 5 inches high, we will need:
10in/5in = 2
2 boxes.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
Okayy
Step-by-step explanation:
Since T is the centroid which is the center
Also T is a midpoint
Nt=tn=42
Hope this helps
Jerry was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of money.
The equation that models this situation is y = 50x + 75, where y is the amount of money in the account and x is the number of deposits.
What does the y-intercept mean in this situation?
A. He was given $50 for his birthday.
B. He puts $75 in the account each month.
C. He puts $50 in the account each month.
D. He was given $75 for his birthday.
The y -intercept in this situation mean that Jerry was given $75 for his birthday
The equation below is a linear equation.
y = 50x + 75
A linear equation is an equation that has a single variable raised to the power of 1. 50x is raised to the power of 1
75 represents the constant. This is the money he deposited in the account. 75 is the y-intercept. The y-intercept is the value of the line y when it crosses the y-axis
50x is the slope of the line. - 50 is the amount he puts in every month and x represents month.
The slope of a line also known as the gradient of the line determines the steepness and direction of a line. If the slope coefficient is less than zero, the slope is negative and it would decline from left to right
y is the dependent variable. It is the total amount he would have at the end of each month. y depends on the constant term (75), the number of months(x) and the amount he deposits every month (50)
at the end of :
one month, he would have : 50(1) + 75 = 125
two months, he would have : 50(2) + 75 = 175
You can learn more about y-intercepts here : https://brainly.com/question/12791065?referrer=searchResults
Answer:d
Step-by-step explanation:
need this today, thanks!
Answer:
Step-by-step explanation:
just click on the photo down bellow
right here
Pls help and show workings
Pls check my other questions if you can!
Answer: Choice A. y + 5 = -2(x + 2)
================================================
Explanation:
Let's solve the given equation for y so we can find the slope.
3x - 6y = 2
3x = 2+6y
3x-2 = 6y
6y = 3x-2
y = (3x-2)/6
y = (3x/6) - (2/6)
y = (1/2)x - 1/3
The last equation is in y = mx+b form. We see that m = 1/2 is the slope.
Apply the negative reciprocal to go from 1/2 to -2/1 or just -2.
The original slope is 1/2, and the perpendicular slope is -2.
Rule: multiplying any two perpendicular slopes leads to -1 where neither line can be vertical.
Let's plug in m = -2, x1 = -2 and y1 = -5 into point slope form
y - y1 = m(x - x1)
y - (-5) = -2(x - (-2))
y + 5 = -2(x + 2)
a jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. a marble is selected at random, not replaced, and then a second marble is selected. what is the probability of selecting a red marble followed by a green marble?
Answer:
33/ 338
Step-by-step explanation:
Red = 6
Blue = 9
P.Red = 6/26 = 3/13
P.Green = 11/26
P. Both in turns = 3/13 * 11/26
= 33/338
hope this helps...
Answer:
0.09
Step-by-step explanation: