Answers
Answer:
1296mm^2
Step-by-step explanation:
Surface Area of the Rectangular Prism to the left on top of the box:
Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2
Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2
So, the total surface area of the rectangular prism to the left on top, is 324mm^2
Surface Area of the Triangular Prism:
Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.
Area of the rectangle: lw, so 15mm * 9mm = 135mm^2
So, the total surface area of the triangular prism is 243mm^2
Surface Area of the Rectangular Prism at the bottom:
Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2
Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2
Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2
So, the total surface area of the rectangular prism at the bottom is 729mm^2
Add all the total surface areas of each shape to get the total surface area of the figure:
324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2
The surface area of the figure above is 1296mm^2
Related Questions
Is 2/3 < 5/8? Help me with this
Answers
Answer:
No its 2/3 > 5/8
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as:
2/3 = 0.667
5/8 = 0.625
Then, we compare the two decimal numbers to get the answer.
0.667 is greater than 0.625. So 2/3 > 5/8
Answer:
No, 2/3 is bigger than 5/8
Step-by-step explanation:
If you convert 2/3 into a deciamal it is 0.666
and if you convert 5/8 into a decimal it is 0.625
therefore 2/3 is the bigger fraction and the statement is not correct.
Hope this helps!!!!
Jada bought an iPhone for $1000 in 2019. An iPhone declines about 9% yearly, How much is the iPhone worth in 2022? ROUND YOUR ANSWER TO
THE NEAREST WHOLE NUMBER.
Answers
Answer:
686
Step-by-step explanation:
1-0.09=0.91
1000
((((1000*0.91)*0.91)*0.91)*0.91)
685.74961
rounded to whole number
686
Hi! This obviously not a question but if you need help on homework contact me! I can help with the following subjects: Math, English and History
Answers
Answer:
i will
Step-by-step explanation:
thanks
Answer:
dam you cant help me with my subjects
Step-by-step explanation:
Without using a calculator evaluate 5×(88)²-720 using special algebraic identity
Answers
Answer:
38000
Step-by-step explanation:
=5*(88)^2 -720
=5*7744 -720
=38720-720
=38000
I did it without using calculator
Which expression is equivalent to (x2 +3x +5) (2x + 4)?
Answers
Answer:
Step-by-step explanation:
Simplify: 3(s + 5)
3s + 15
3s + 5
8s
18s
Answers
Answer:
3s + 15
Step-by-step explanation:
Here,
3(s + 5)= 3(s) +3(5)
= 3s+15,,
Notebooks cost $9, and package of dividers cost $1.50 per package. Which of the following could be used to determine c , the total cost of one notebook and n packages of dividers?
Answers
Answer:
c = 9 + 1.50
c = 10.50
Step-by-step explanation:
What cartoon world do you wish you could live in for a week?
Answers
Answer:
Sponge-Bob, because that is the one I am the most familiar with.
Answer:
Voltron mainly because Keith is there and he’s so pretty. I’d like to give him some therapy too if possible and maybe make Klance possible .
Which is the graph of the linear inequality 2x – 3y < 12?Which is the graph of the linear inequality 2x – 3y < 12?
Answers
Answer:
(Check out the attachment)
Step-by-step explanation:
Your graph should look like this with the x-intercept = 6 and y-intercept = -4. Don't forget the dotted lines!
Good luck! :)
Answer:
to clarify its c :)
Step-by-step explanation:
Can someone please solve this please.
Answers
Answer:
A≈576.31
Step-by-step explanation:
surface area = bh + L(s1+s2+s3)
surface area = (13*11) + 13 * (10+11+14.87)
Find the volume of the sphere, round your answer to the nearest hundredth
Answers
Answer:
V≈3053.63 rounding would be v= 3054
Step-by-step explanation:
For every 2 girls in Mr Hegarty's class there is 1 boy. What is the ratio of boys to girls in the class?
Give your answer in its simplest form.
Answers
Answer:
1 : 2
Step-by-step explanation:
1 boy for every 2 girls
1 : 2
Answer:
2:1
Step-by-step explanation:
bc of 2 girls there 1 boy so every 2g there 1b so the ratio is 2:1
Which of these sentences uses an appositive correctly?
A. That ladybug, a very delightful insect, just landed on my bedroom windowsill.
B. That ladybug a very delightful insect, just landed on my bedroom, windowsill.
C. That, ladybug a very delightful insect, just landed on my bedroom windowsill.
D. That ladybug a very delightful insect just landed on my, bedroom, windowsill
Answers
Answer:
The answer is A
Step-by-step explanation:
An appositive is usually used to describe a topic, and usually is near the beginning of a sentence or before or after a noun followed by a comma.
In this case “, a very delightful insect, “ comes after ladybug.
I tried my best to answer this question, thank you have a great day
7.
Which equation is correct?
Answers
Which solid can hold more: a cylinder with a diameter and height of 6 inches or a square prism with side lengths of 6 inches?
Answers
Answer:
If two solids have the same height h and the same.cross-sectional area B at.every level then they have the same volume.So the volume of a right prism and.an oblique one of the same height and cross sectional area are same.
Step-by-step explanation:
hope this helps if not please let me now
Which of the following equations are true when you replace the unknown with the number 9?
Check all that are true.
? × 4 = 36
? ÷ 9 = 1
35 ÷ ? = 4
6 × ? = 46
27 ÷ 3 = ?
Answers
Answer:
it should be A D and C that should be it
A baker needs a total of 13 and one-third cups of flour to make four batches of cookies. how much flour, in cups, does she need for each batch of cookies? write and solve an equation to find the answer. startfraction 5 over 6 endfraction 3 and one-third 9 and one-third 12
Answers
Answer:
(b) 3 1/3 cups
Step-by-step explanation:
The amount of flour per batch is found by dividing the given amount of flour by the given number of batches.
__
(13 1/3 cups)/(4 batches) = (40/3 cups)/(4 batches) = (40/3)(1/4) cups/batch
= 10/3 cups/batch = 3 1/3 cups per batch
Fred and Wilma are in the 33% tax bracket. Their joint taxable income is $205,375. If the first $16,050 is taxed at 10%, with the remainder at 33%, how much tax will they owe?
Answers
Answer:
$64,082.25
Step-by-step explanation:
$205,375-16,050=189,325
189,325×33% (or .30)=62,477.25
16,050×10% (or .10)=1,605
1,605+62,477.25=$64,082.25
o Watch help video
A survey stopped men and women at random to ask them where they purchased
groceries, at a local grocery store or online.
What percent of the people surveyed shop online? Round your answer to the nearest
tenth of a percent.
Answers
Answer: 35.7%
Step-by-step explanation: total number of people surveyed is 84
total number of online choice is 30
Percentage for online is 30/84 × 100/1
35.714%
what order do they go in?
put the numbers where they should go
Answers
A school locker has a length of 1 ft a width of 18 in and a height of 2 and a half ft. What is the volume in cubic feet
Answers
Answer:
6,480
Step-by-step explanation:
1 ft = 12 in.
1 x 12
12
2.5 x 12
30
12 x 30
360 x 18
6,480
How many solutions exist for the given equation? 12x 1 = 3(4x 1) – 2 zero one two infinitely many
Answers
An equation is formed of two equal expressions. The given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the solution to the equation we need to solve the given equatiopn. Therefore, the equation can be written as,
[tex]12x+1=3(4x+1)-2\\12x+1=12x+3-2\\12x+1=12x+1[/tex]
As we can see that both sides of the equation are similar to each other, therefore, for any value of x the equation will be satisfied.
Thus, the given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
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Written as a rate, 100 miles in 5 hours would be ____ miles per hour.
Answers
Answer:
it would be 20 miles per hour
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Look at the following rules for two number patterns. Both patterns start with 40.
the patterns are
Pattern P: "Subtract 2"
Pattern Q: "Subtract 4"
the answers are: Excluding the first term, a term in Pattern P is always 2 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 4 greater than its corresponding term in Pattern P.
Starting with 0, the difference in the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.
Answers
Pattern P:
40, 38, 36, 34, 32, 30, …
Pattern Q:
40, 36, 32, 28, 24, 20, …
(absolute) Differences in corresponding terms:
0, 2, 4, 6, 8, 10, …
and these differences agree with the last statement.
12. Find the volume of the cylinder. Use 3.14 for pi and round to the nearest tenth.
7 cm
2 cm
O 61.7 cm
O 110.7 cm
0 87.9 cm
O 114 cm?
Answers
Answer:
Volume of the cylinder is 87.9 cm³Step-by-step explanation:
Given that Radius of the cylinder is 2 cm and height is 7 cm. To find Volume of the Cylinder we will substitute the value of height and radius in given formula:
[tex] \\ \: \: \dashrightarrow \: \: { \underline{ \boxed { \pink{ \pmb{ \mathfrak{ Volume_{(Cylinder)} = \pi r^2h}}}}}} \\ \\ [/tex]
Substituting the required values:
[tex] \\ \: \: \dashrightarrow \sf \: \: Volume = 3.14 \times {(2)}^{2} \times 7 \\ \\ [/tex]
[tex]\: \: \dashrightarrow \sf \: \: Volume = 3.14 \times 4 \times 7 \\ \\ [/tex]
[tex]\: \: \dashrightarrow \sf \: \: Volume = 3.14 \times 28 \\ \\ [/tex]
[tex]\: \: \dashrightarrow \: \: { \underline{ \boxed { \pink{ \pmb{ \mathfrak{ Volume = 87.9 \: {cm}^{3}}}}}}} \\ \\ [/tex]
Hence,
Volume of the cylinder is 87.9 cm³Step-by-step explanation:
Given :-
Height of cylinder :- 7cmBase diameter of cylinder :- 2cm , radius :- 1cmTo find :-
Volume of CylinderSolution :-
⇝ Volume of Cylinder = πr²h
⇝Volume = 3.14 × 1² × 6 cm³
⇝Volume = 18.84 cm³
Point H is the circumcenter of triangle JKL.
Which must be true?
O FH ≈ DH
O JF ≈ JD
O JH ≈ LH
O KF ≈ LD
Answers
If H is the circumcenter of triangle JKL then true statement is JH ≈ LH.
What is Property of Circumcenter?The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the triangle's sides. It is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.
The circumcenter is equidistant from the three vertices of the triangle.
This means that the distance from the circumcenter to each vertex is the same.
i.e., the distance of point H is equal from J, K and L.
Then, the length of each of is equal which is
JH = KH = LH
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Kendra is making 1/2 of a recipe. The full recipe calls for 4 1/4 cup of flour. How many cups of flour should Kendra use?
Answers
Then 1/2 = 0.5 recipe = 0.5 x4.25
=2.125
=17/8 cups
A crate weighing 500 pounds was delivered to the gym & set on the floor. To
move it, we need to get a set of dolly wheels under the edge. If we use a 15 foot
pry bar to lift the edge and place a 12 high fulcrum back 2 feet from the box,
how much downward force will need to be applied to the bar to raise the crate?
Answers
The downward force that will be needed to be applied to the bar to raise the crate is 389.65N.
How to calculate the force?From the information given, we'll first need to find the length of BC. This will be:
BC = 15 - (✓2 + ✓1)
BC = 15 - ✓5
The weight of the box will be:
= mg = 500 × 32.174 = 16087.05ft/s²
The force will then be:
= (16087.05 × ✓5)/(15 - ✓5)
= 389.65N
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Examine the following budget: monthly budget budgeted amount actual amount income wages $1000 $850 expenses car - gas, insurance food
Answers
The net income for the month will be equal to $ 95 -$115 .The term“income” generally refers to the amount of money, property, and other transfers of value received over a set period of time
What is income?
The term “income” generally refers to the amount of money, property, and other transfers of value received over a set period of time
Result for the Month
Income statement BDGT REAL
Income Wages $ 1.000 $ 850
Expenses Car - gas -$ 300 -$ 200
insurance Food & Personal Items -$ 75 -$ 200
Cell Phone -$ 75 -$ 85
College Savings -$ 300 -$ 220
Recreation -$ 75 -$ 200
Clothes -$ 80 -$ 60
Net Income $ 95 -$ 115
Modified Result for the Month.
Income statement BDGT REAL
Income Wages $ 1.000 $ 850
Expenses Car - gas -$ 300 -$ 200
insurance Food & Personal Items -$ 75 -$ 75
Cell Phone -$ 75 -$ 85
College Savings -$ 300 -$ 220
Recreation -$ 75 -$ 75
Clothes -$ 80 -$ 60
Hence the net income will be $ 95 $ 135
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Factor 6x4 – 5x2 12x2 – 10 by grouping. what is the resulting expression? (6x 5)(x2 – 2) (6x – 5)(x2 2) (6x2 5)(x2 – 2) (6x2 – 5)(x2 2)
Answers
The factored form of the expression is (x^2+2)(6x^2-5).
We have given the expression 6x^4 – 5x^2 + 12x^2 – 10
What is the factor of a polynomial?A factor of polynomial P(x) is any polynomial that divides evenly into P(x)
Factoring by grouping
Given the expression 6x^4 – 5x^2 + 12x^2 – 10
Group the terms to have
(6x^4 – 5x^2) + (12x^2 – 10)
Factor out the common values
x^2(6x^2-5)+2(6x^2 - 5)
(x^2+2)(6x^2-5)
Therefore the factored form of the expression is
(x^2+2)(6x^2-5).
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