Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows of four as shown.
12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.
What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches
Answers
Answer
the answer is b. im not sure though
Step-by-step explanation:
1042 square inches is the total surface area of composite solids.
It is clear from the image that the resulting composite solid is a cuboid.
whose sides are as follows
Across the length, there are 3 blocks along the side of 7 inches each.
\(Length = 7 \times 3 = 21\ inch\)
Width = 5 inch
Across the height, there are 4 blocks along the side of 4 inches each.
\(Height = 4 \times 4 = 16\ inch\)
What is the total surface area of a cuboid?\(\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)\)
We know that the total surface area of a cuboid is,
\(\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024\)
Therefore, the total surface area = 1024 square inches.
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Related Questions
solve for x: 12x - 4 = 68
Answers
Answer: your answer should be 6
Step-by-step explanation:
12x-4=68
+4 +4
12/12x=72/12
x=6
1 million to the power of 10
Answers
Step-by-step explanation:
The answer of 1 million to the power of 10
= 1e+60
(Rewriting Rational Numbers LC)
Compare negative three and five tenths repeating and negative ten thirds using symbols <, >, or =.
negative three and five tenths repeating is less than negative ten thirds
negative three and five tenths repeating is greater than negative ten thirds
negative ten thirds is equal to negative three and five tenths repeating
negative ten thirds is less than negative three and five tenths repeating
Answers
Answer:
the third answer
Step-by-step explanation:
please help
What is the solution of the equation 6 + q = 25 1/2?
A. q= 19 1/2. B. q= 18 1/2. C. q= 30 1/2. D. q= 31 1/2
Answers
option:-
\( \boxed{ \rm{A) \: q = 19}}\)\( \: \)
Solution:-
\( \rm{6 + q = 25 \frac{1}{2} }\)\( \: \)
\( \rm{q = 25 \frac{1}{2} - 6 }\)\( \: \)
\( \underline{ \boxed{ \color{green}{\rm{q = 19 \frac{1}{2} }}}}\)\( \: \)
hope it helps! :)
Can someone help me and tell me what this is I dont get it
Answers
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
When the numbers used to estimate are less than the actual numbers provided, the product will be?. Single choice.
(1 Point)
equivalent
underestimate
power
overestimate
Answers
Answer:
Underestimate It says when nubers are used to estimate less so it would be underastimate
Step-by-step explanation:
Work out the size of angle m.
Answers
Answer:
78+25+61+55+64=283
360-283=77
180+77=257
If you add up all the provided angles you get 283 degrees
The remaining angle to get to 360 is 77 since 360-283=77
Answer: m=77
Hope this helped!
Find the value of: 24/25 divided by 4/5
Type mixed numbers like this: WholeNumber numerator/denominator
type the whole number then a space...then type the numerator, a slash, and the denominator WITH NO SPACES between each part.
Type fractions like this: numerator/denominator
type the numerator, a slash, and the denominator WITH NO SPACES between each part
Answers
Answer:
1 1/5.
Step-by-step explanation:
To divide a fraction by another fraction you have to change the equation like "Keep, Switch, Flip".
For the problem 24/25 ÷ 4/5,
You KEEP the first fraction as is, so 24/25
Then, you SWITCH the sign from division to multiplication.
Finally, you FLIP the second fraction upside down, (the reciprocal). So it's 5/4.
The equation is now 24/25 * 5/4, which we can just multiply the numerators and denominators. (or cross cancel first)
24 * 5 = 120
25 * 4 = 100
the fraction is 120/100. Simplified, it can be divided by 10 to make 12/10, and finally divided by 2 to make 6/5, or 1 1/5.
PLEASE SOLVEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
-2-3/2
-5/2
-2,5
If the probability of Eva Claire drawing a white sock from the laundry is 1/5 and she randomly draws 1 sock at a time and replaces it, how many times would you expect Eva Claire to get a white sock if she tries 255 times?
Answers
Answer:
51
Step-by-step explanation:
1/5 of 255 is 51
Answer:
51 time
Step-by-step explanation:
I just know. May god bless your day.
<3
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
Answers
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
A smoothie shop has 40 stores and 55% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California?
22
18
45
95
Answers
Answer:
22
Step-by-step explanation:
55% of 40=
0.55*40=22
Answer:
22
Step-by-step explanation:
100 - 45 = 55
55 % of 40
Marni has 11 ounces of walnuts. She needs 6 ounces for one recipe and pound for another. There are 16 ounces in 1 pound.
Does she have enough?
1. To answer this question, you first need to convert all measurements to the same units. Since two of the measurements are in ounces and only one is in pounds, convert pound to ounces. Show your work.
2. How many ounces of walnuts does Marni need to make both recipes? Show your work.
3. Does Marni have enough walnuts? If so, how much will she have left over? If not, how many more ounces does she need? Explain.
Answers
Answer:
No, she doesn't have enough.
She needs 22 ounces in total, so needs 11 more ounces.
Step-by-step explanation:
1. Marni has 11 ounces of walnuts. She needs 6 ounces for one recipe and 16 ounces for another.
1 pound = 16 ounces, so convert any measurements using pounds to ounces.
2. Marni needs 6 + 16 ounces for both recipes. That's 22 ounces in total.
Add together the amount of walnuts needed for both recipes.
3. 6 + 16 > 11;
Marni does not have enough ounces of walnuts. She will need at least 22 ounces, which is 11 more than what she currently has.
Hope this helped!
What is the actual area of Julio's kitchen floor?
Answers
Answer:
area=2Πr(r+h)
area=hhhhhh
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How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
Answers
The total distances you traveled to reach your destination on each day of your three-day trip are as follows:
a) Day 1 = 40 miles
b) Day 2 = 30 miles
c) Day 3 = 11 miles.
How the total distances are determined:The total distances are determined using proportions.
Proportion refers to the fractional value of the whole number or quantity.
a) Day 1:
The fractional distance traveled = ⁵/₈
The remaining distance to travel = 15 miles
15 miles = ³/₈ (1 - ⁵/₈)
Proportionately, the total distance = 40 miles (15 ÷ ³/₈)
b) Day 2:
The distance traveled = 18 miles
The remaining distance to travel = ²/₅
The distance traveled = ³/₅ (1 - ²/₅)
³/₅ = 18 miles
Proportionately, the total distance = 30 miles (18 ÷ ³/₅)
c) Day 3:
The distance traveled = ⁵/₁₁
The distance to travel = 6 miles
The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)
Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)
Learn more about proportions at https://brainly.com/question/1496357.
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Sammie purchased a soccer ball for $12.99 . Her total was . $14.17
Sammie paid $
in sales tax.
Answers
Answer:
the sales tax is $1.18
Step-by-step explanation:
Select all shapes below that are nets of a pentagonal-based pyramid.
Answers
Answer:
A and B
Step-by-step explanation:
I took some paper and cut it to the shapes and folded them to see which ones are the answer and got those 2. :3
Solve it.......................................
Answers
Answer:
10
Step-by-step explanation:
6*5 = 30
20÷5=4
6+4 =10
Answer:x=-10 because if you subtract -6 from 10 you get 4 times 5=20
Cindy wants to predict how much energy she will use to heat her home based on how cold it is outside. The graph below shows the mean amount of gas per day (in cubic meters) that Cindy used each month and the average temperature that month (in degrees Celsius) for one heating season. Which statement is the best description of the association between these variables?
Answers
Answer:
B
Step-by-step explanation:
the graph has a negative slope
Answer:
The answer is B.
1 point
The equation of the line of best fit relating age (in years, x) and the median height (in cm, y) of boys is given.
y = 6.5x + 75.5y=6.5x+75.5
Predict the median height of boys age 13.
123 cm
140 cm
160 cm
82 cm
Answers
Answer:
140cm
Step-by-step explanation:
Find the system of inequalities which represents the shaded region on the coordinate plane.
Answers
Answer:
given, y≥2x+1 and
y>
2
1
x−1
first, draw the graph for equations y=2x+1 and y=
2
1
x−1
for y=2x+1
substitute y=0 we get, 2x+1=0⟹x=−0.5
substitute x=0 we get, y=1
therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.
Hence, y≥2x+1 includes the region above the line.
for y=
2
1
x−1
substitute y=0 we get,
2
1
x−1=0⟹x=2
substitute x=0 we get, y=−1
therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.
Hence, y>
2
1
x−1 includes the region above the line.
the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.
Therefore, quadrant IV has no solution please make as brainlelist
This data set shows the daily number of visitors who used the yoga center at the park. The numbers in blue show the numbers for weekends. Daily Number of Visitors 13 15 12 18 9 18 20 15 22 26 24 12 29 12 18 8 16 17 21 19 38 24 37 27 32 34 28 31 15 Select the correct answer. For how many days were the numbers of visitors recorded? A. 27 B. 28 C. 29 D. 30 E. 31
Answers
C. 29
We know this by counting the amount of numbers given for the data set
What is the solution to StartFraction negative 3 over 7 EndFraction m less-than 21?
m 49
m > -49
m < -49
Answers
Answer:
C - m > -49
Step-by-step explanation:
Got it right on edge! Have a good day! :))
The solution of the inequality - 3/7m < 21 will be m > - 49. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
- 3/7m < 21
Simplify the inequality, then we have
- 3/7m < 21
3/7m > - 21
m > - 21 x 7 / 3
m > - 49
The solution of the inequality - 3/7m < 21 will be m > - 49. Then the correct option is B.
More about the inequality link is given below.
https://brainly.com/question/19491153
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I really need help! If the answer is correct, I'll give ya a brainliest ;)
Answers
Answer: What is the question-? :D
Step-by-step explanation:
step-by-step equation.
Using a proportion, how can we find 12% of 125? Please show your proportion set up and all work. HELP ME ASAPPPPPPPPP THE CORRECT ANWSER GETS A BRAINLIST I HAVE 3MINS SOMEONE PLEASE!!!!!
Answers
Answer: 15
Step-by-step explanation:
Write 12% as a fraction: 12/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have: 12/100 of 125.
12/100 × 125
If you are using a calculator, enter 12÷100×125 which will give you 15 as the answer.
The price of a video game was increased from $39 to $49. By what percentage was the price of the video game increased
20.4%
30%
25.6%
79.6%
Answers
Answer:
25.6%
Step-by-step explanation:
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
A weir is used to measure water flow in a channel. For a rectangular broad crested weir, the flow Q in cubic feet per second is related to the weir length L in feet and height H of the water by Q = 1.6LH3/2. Find the water height for a weir that is 3 feet long and has a flow of 38.4 cubic feet per second.
Answers
Answer:Find the water height for a weir that is 3 feet long and has flow of 38.4 cubic feet per second. SOLUTION: Therefore, the water height for the weir is 4 feet.
Answer:
the water height for the weir is 4 feet.
Step-by-step explanation:
Which of the following does NOT describe a rational number? A- Non-repeating decimal B- Perfect square (ex: square root of 4) C- Terminating Decimal D- Improper Fraction
Answers
Answer:
Non-repeating decimal
Step-by-step explanation:
As a example, 32.93729, would be a never ending number. Which means it's not a rational number, it is a irrational number.
find the area of this shape
Answers
Answer:
area of large triangle=1/2× 14×9=63
area of small triangle=1/2×4××14=28
total area=63+28=91