The surface area of the larger solid is approximately 971.13 m².
What is scale factor?
A scale factor is the ratio of the corresponding sides of two similar objects.
Let's find the scale factor as follows:
z = scale factor
x = the volume of the larger solid
y = the volume of the smaller solid
Therefore,
z³ = x / y
z³ = 1408 / 594
z = ∛1408 / 594
z = 11.2081573 / 8.40611799
z = 1.33
Therefore,
let's find the surface area of the larger solid.
The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,
z² = larger solid / 549
surface area of the larger solid = 1.33² × 549
surface area of the larger solid = 1.7689 × 549
surface area of the larger solid = 971.1261
surface area of the larger solid = 971.13 m²
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What is the measure of angle x?
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
y + 47° = 90° {Complementary angles}
y = 90° - 47°
y = 43°
x = y {Vertically opposite angles}
x = 43°
Answer:
x = 43°
Step-by-step explanation:
[tex] \sf{Y + 47° = 90° } [/tex]Substract 47° from both sides
[tex] \sf{Y + 47° - 47° = 90° - 47°} [/tex][tex] \sf{Y = 43°} [/tex]since X and y are vertically opposite angles
[tex] \sf{x = 43°} [/tex]
Derek bought a pair of pants for $35 and 3 shirts. He spent a total of $62.50. How much did each shirt cost? What is the equation for X?
Answer:
62.25=35+3x
62.25-35=27.25
27.25=3x
divide both sides by 3
x=9.08 or just 9
Solve the equation Enter your answer as an equation that shows the value of
the variable (like s = 2/3, or 4 = w).
8x - 2 = 70
Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.
10 1/5 • 4 1/4 • 2 not simplified please
51/5 × 17/4 ×2
=51/5 ×17/2
= 867/10
this urgent pls
thank you
Answer:
x is less or equal to 30
the last Choice is correct.
Answer:
Last option D.
Step-by-step explanation:
IF it can be no more than 30, the 4th one says it can be equal to 30 or less than thirty.
Write and equivalent expression for 88 + 16x + 8.
X = 4
Answer:
8+88+16x
4=x
Step-by-step explanation:
just reverse it lol
Elise is in a challenge with her gym class to run a total of 200 miles in one
school year. In the first month she ran 18 miles. If she wants to split the
remaining amount of miles over the
next seven months, how many miles will
she run each month?
Show your work.
Which point on the number line best represents √10
Answer:
So it would be around 3.
Step-by-step explanation:
[tex]\sqrt{10}[/tex]= 3.16227766017
The average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. On average, how many customers are there in the queue? a. 0.375 Customers b. 0.900 Customers c. 1.160 Customers d. 4.000 Customers
Answer:
Zero, based on the information provided.
Step-by-step explanation:
The output rate of the teller machine is (1 transaction/6 minutes). The input rate is (1 customer/10 minutes). This means that the machine completes a cycle faster than the customers arrive, on the average. I don't know how an average can be calculated without more information. If we assume customers arrive every 10 minutes, and no one screws up the machine, that there should be no waiting line. Is there more information about when the customers arrive? E.g., 50 arrive in the first hour the machine is open.
If the average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. The average number of customers in the queue is: B. 0.900 customers.
What is the average number?M represent Markovian (memoryless) arrivals and service times
1 represents a single server.
Arrival rate (λ) is 1 customer every 10 minutes and the service rate (μ) is 1 customer every 6 minutes.
The formula to determine the average number of customers in the queue (Lq) is:
Lq = (λ^2) / (μ * (μ - λ))
Plugging in the values:
λ = 1/10
μ = 1/6
Lq = ((1/10)^2) / ((1/6) * ((1/6) - (1/10)))
Lq = (1/100) / ((1/6) * (10 - 6)/60))
Lq = (1/100) / ((1/6) * (4/60))
Lq = (1/100) / ((1/6) * (1/15))
Lq = (1/100) / (1/90)
Lq = (1/100) * (90/1)
Lq = 90/100
Lq = 0.9
Therefore, the correct option is B.
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A shop sells pairs of trainers for £68 each. They make a percentage profit of 70% on each pair.
What was the cost of each pair of trainers to the shop?
Answer:
47.6 euros
Step-by-step explanation:
68 x .70 = 47.6
.70 = 70%
70% of 68
of means multiply
You turn the percent into a decimal and multiply
Write an equation that best describes the pattern in the table
а
a
1
0 1
2
1
1
24-
58
2
2
b
0
3
4.
9
10 17
Answer:
not sure about the equation or answer
I need help for this one.
Answer:
D. 48 feet
Step-by-step explanation:
Ladder (50 ft) = hypotenuse
Floor distance (14 ft) = b
Wall (unknown) = a
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+14^2=50^2[/tex]
[tex]a^2+196=2500[/tex]
[tex]a^2=2500-196[/tex]
[tex]a=\sqrt{2304}[/tex]
[tex]a=48[/tex]
Hope this helps!
Answer:
48 feet
Step-by-step explanation:
Here,
c = 50 ft
b = 14 ft
To find : the height of the wall that the ladder reaches ( a ) = ?
Formula : -
a² + b² = c²
a² = c² - b²
= 50² - 14²
= ( 50 x 50 ) - ( 14 x 14 )
= 2500 - 196
= 2304
= 48 x 48
a² = 48²
a = 48 feet
A file that is 236 megabytes is being downloaded. If the download is 19.3% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
18.3% x 238 megabytes
0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).
Step-by-step explanation:
Probability and statistics
Probability and statistics are two branches of mathematics that are used to calculate the possibility of occurrence of an event or trend of data.
What is probability?Probability is a term to refer to the science that studies the measurement of the certainty of occurrence of an event. Generally, the probability of occurrence is associated with a value between 0 and 1, where an impossible event corresponds to zero and a certain event corresponds to one.
What is statistics?Statistics is a term to refer to a branch of mathematics that studies different phenomena related to data such as:
VariabilityCollectionOrganizationAnalysisInterpretationPresentationAnother outstanding aspect of statistics is that it is a formal deductive science framed in the formal scientific method.
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WHEN THE WHOLE IS THE SAME, HOW MANY 8THS DOES IT TAKE TO EQUAL 1\4. DRAW A MODEL TO SHOW YOUR ANSWER.
Answer: 4
Step-by-step explanation:
4 times 2 is 8 if you make 4 eighths you will get 1/4 a
The product of seven and the number m
translate into an algebraic expression please
Answer:
7m
Step-by-step explanation:
product means multiplication
7×m = 7m
2 pounds of zucchini for 4 servings
Answer:
One pound of zucchini equals about 4 cups grated zucchini;
Step-by-step explanation:
2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.
Although the numbers are not included on either axis, it is possible to determine from shape and location that the equation y = -1.2x+4 corresponds to graph
It looks like your question is incomplete. I believe you also have options to pick which graph is correct. However, I can still give you the information you are looking for.
The slope of the line is -1.2
The Y-intersect is (0, 4)
I have also attached an image of what the graph would look like.
Hope this helps.
Help with this question pls
Answer:
Exact: [tex]4\sqrt{55}[/tex] m
Approximate: 29.7 m
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]9^2+b^2=(31\sqrt{5} )^2[/tex]
[tex]81+b^2=31^2(5)[/tex]
[tex]b^2=961-81[/tex]
[tex]b=\sqrt{880} =4\sqrt{55}[/tex]
[tex]4\sqrt{55}[/tex] ≈ 29.7 m
Hope this helps!
PLEASEEE HELP QUICK :D
Answer:
Option a!
Step-by-step explanation:
inverse means opposite:
First part of the statement:
If I studied for it
(opposite)
If I did not study for it
Second:
I did well on the exam
(opposite)
I did not do well on the exam
Hope this makes sense.
- profparis
What is the balance point for the following data set? 19 80 15 20
The balance point of the dataset is the mean of the dataset
The balance point of the dataset is 20
How to determine the balance point?From the dataset, we have the following frequency table
Data (x) Frequency (f)
15 2
24 1
26 1
The balance point of the dataset is the mean value of the dataset, and the mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
This gives
[tex]\bar x = \frac{15 * 2 + 24 * 1 + 26 *1}{2 +1+1}[/tex]
Evaluate the sum
[tex]\bar x = \frac{80}{4}[/tex]
Evaluate the quotient
[tex]\bar x = 20[/tex]
Hence, the balance point of the dataset is 20
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each of two computers can process bills at 160/min a newer model can process bills at 200/min after the first two computers have worked 1.5 min they are joined by the third computer how long will it take from the time the first two computers are turned on to process 1780?
Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.
What is the time taken to process 1,780 bills?First find the number of bills left when the third computer joined:
= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)
= 1,300
Then the average speed of all three computers is:
= 160 + 160 + 200
= 520 bills per minute
The time taken to finish up the other bills would be:
= 1,300 / 520
= 2.5 minutes
Add this to the minutes already elapsed before the third computer was used:
= 2.5 + 1.5
= 4 minutes
Find out more on rate of work at https://brainly.com/question/24482367.
A line passes through the point (3,-6) and has a slope of -4
Write an equation in point-slope form for this line
Answer:
step by step explanation
please see photo
Graph y = 0.5|x|
The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.
The Domain and Range?
Thanks!
Find the sum of 458 and 342
Answer: 800
Step-by-step explanation:
Riley tried the following homework question:
On July 1st, the billing date, Jenson's American Express credit card account had a balance of $375.80. The transactions during the
month of July were:
July 5 Payment made $150.00
July 10 Dinning
$74.35
July 18 Car repair
$123.50
July 28 Groceries
$142.50
The card has a low-interest rate of 1.3% per month. What is the balance due on August 1st?
The instruction hinted that "to find the balance due, you need to calculate the Average Daily Balance (ADB)."
So Riley made a running balance table and got ADB = 372.08, finance charge = 4.84, and Riley wasn't sure what to do next to answer
the final question "balance due on August 1st"? Please make a running balance table to show the ADB Riley got, and further explain
how to find the final balance on August 1st. What is the balance due on August 1st? Be specific with your answer.
Answer:
her balance aka ADB would be 372.08
solve this sum. ....
Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3
OQ = QR = RS = SPDraw a number line and find three equal points
so points:
Q = 0.75R = 1.5S = 2.25Answer:
[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]
Step-by-step explanation:
Given information:
O = 0P = 3Points Q, R and S are between O and POQ = QR = RS = SPTherefore, there are 4 segments of equal distance between points O and P.
Length of OP = 3 - 0 = 3
⇒ Length of each segment = 3/4
To find the point of Q, R and S, add 3/4 to each point:
Point O = 0
⇒ Point Q = 0 + 3/4 = 3/4
⇒ Point R = 3/4 + 3/4 = 3/2
⇒ Point S = 3/2 + 3/4 = 9/4
Point P = 9/4 + 3/4 = 3
Therefore,
[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]
Aja made a 20% down payment on a house and was approved for a $185,000 mortgage. Therefore, she should expect her closing costs to be about $3,700 to $12,950.
O A True
O B. False
If Aja was approved for a $185,000 mortgage is true Aja's closing costs are between $3,700 and $12,950.
What are closing costs?This is the amount of money paid for the mortgage settlement or closing.
How to calculate the closing costs?The closing costs are equal to 2-7% of the cost of the loan.
What are Aja's closing costs?185,000 x 0.02 = $3700 (2%)
185,000 x 0.07 = $12,950 (7%)
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Find the area of the trapezoid
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
look at the picture i have attached and tell me what you think???
Step-by-step explanation:
parallel is two lines that go like this \\ or like this =
perpendicular is two lines that go like this +
which is it?
Answer:
they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2