Answers
Answer:
422 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid + surface area of lower cuboid) - 2(base area of the lower cuboid)
Surface area of composite figure = [tex] (2(lw + lh + hw)) + (2(lw + lh + hw)) - 2(l*w) [/tex]
Upper cuboid has the following dimensions:
[tex] l = 4, w = 3, h = 8 [/tex]
Lower cuboid has the following dimensions:
[tex] l = 10, w = 7, h = 5 [/tex]
Plug these values into the formula
Surface area of composite figure
[tex] = (2(4*3 + 4*8 + 8*3)) + (2(10*7 + 10*5 + 5*7)) - 2(4*3) [/tex]
[tex] = (2(12 + 32 + 24)) + (2(70 + 50 + 35)) - 2(12) [/tex]
[tex] = (136 + 310) - 24 [/tex]
[tex] = 446 - 24 = 422 [/tex]
Surface area of composite figure = 422 cm²
Related Questions
Which image shows a reflection?
Answers
Answer:
A
Step-by-step explanation:
We can see that:
- Shape B has just been translated down (moving down a couple of squares)
- Shape C has been rotated 90° clockwise
Reasons: B is just a translation, just moved down a few spots. And C has been moved 90 degrees clockwise.
does anyone know how to substitute -2 into this equation -2x + ( 12 - 9 ) = 2 + 9 + -2x
if you do please help
Answers
Answer:
-2(-2) + (12-9) = 2 + 9 + -2(-2)
Step-by-step explanation:
Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily paper), and $.70 for the Sunday paper. She delivers 124 daily papers each day and 151 Sunday papers each week what is your total pay.
Answers
Answer:
About $241.11
Step-by-step explanation:
So, Karen receives 18.2 cents per paper.
She delivers 124 paper per day.
In other words, on days other than Sunday, she will make a total of:
[tex]18.2(124)=2256.8\text{ cents}[/tex]
On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:
[tex]70(151)=10570\text{ cents}[/tex]
Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:
[tex]6(2256.8)+10570=24110.8\text{ cents}\approx\$241.11[/tex]
What point would you have when (-7, 3) is reflected over the line y=x?
A. (3,-7)
B. (-3,7)
C. (7,-3)
D. (-7,3)
Answers
The line y=x looks like a even, diagonal line going through (0, 0) on a graph. If you have (-7,3) , your in the first quadrant (in the upper left square of the graph). If you reflect it diagonally, the digits themselves would remain that same, but the value would flip (if it’s positive, it’ll become negative, if it’s negative, it’ll become positive). So if we do that with (-7, 3), it becomes (7, -3).
Solution: (7, -3)
The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).
The line y=x looks like an even, the diagonal line going through (0, 0) on a graph.
If you have (-7,3), you are in the first quadrant (in the upper left square of the graph).
What is the reflection?Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns to the medium from which it originated.
If you reflect it diagonally, the digits themselves would remain that same, but the value would flip (if it’s positive, it’ll become negative, if it’s negative, it’ll become positive).
So if we do that with (-7, 3), it becomes (7, -3).
The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).
To learn more about the reflection visit:
https://brainly.com/question/1908648
#SPJ2
What is the fractional equivalent of the repeating decimal 0.6 ?
Answers
Answer:
2/3
Step-by-step explanation:
We know that 0.6 is part of the 1/3 family.
1/3 would be equal to 0.333...
2/3 would be equal to 0.666...
3/3 would equal to 1
Alternatively, we know that anything out of 9 or 99 would be a repeating decimal. Simply take 6 and divide it by 9:
6/9 = 0.666
We can then simplify the fraction by dividing both top-bottom by 3:
6/9 = 2/3
8 - 3(k + 2) = 2-3k
Answers
Answer:
Any value of k makes the equation true.
All real numbers
Interval Notation:
( − ∞ , ∞ )
which points are coplanar and noncollinear?
Answers
Answer:
A, B, D
Step-by-step explanation:
coplanar are in the same plane
colinear are along the same line so non collinear means not along the same line
A ,B , C ,D are co - planar since they are in the same plane
A, C ,D are along the same line
We want points that are co planar and not along the same line, which means we need to include point B
A, B, D
are in the same plane but not along the same line
coplanar and noncollinear
65) Driving time: A family is planning to drive 549 miles from their home in Lincoln, Nebraska, to Mount
Rushmore National Park. They plan to drive at an average speed of 61 miles per hour. How much time will they
spend driving?
Answers
549 Divided By 61 Is The Number Of Hours
2.5=25% is it true or false
Answers
explanation;
Answer:
[tex]\huge \boxed{\mathrm{false}}[/tex]
Step-by-step explanation:
25% is 25 out of 100.
[tex]\displaystyle \frac{25}{100} = 0.25[/tex]
[tex]2.5\neq 0.25[/tex]
The statement is false.
Rain began failling at 2:18 . It rained for 1 hour and 36 minutes
Answers
Answer:
It stopped raining at 3:54
Step-by-step explanation:
what is a theory in science
Answers
A scientific theory is a validated explanation of some aspect of the natural world, based on multiple facts that have been frequently verified through research and experimentation. Fact theories are not "guesses" but reliable accounts of the real world.
What does N equals in the following equation? N +6+9=32 multiple choice answers are ? A.) 10 B) 20 C) 30
Answers
Answer
[tex] \boxed{ \boxed{ \bold{ \purple{N = 17}}}}[/tex]
Step by step explanation
[tex] \sf{N + 6 + 9 = 32}[/tex]
Add the numbers
⇒[tex] \sf{N + 15 = 32}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{N = 32 - 15}[/tex]
Calculate the difference
⇒[tex] \sf{N = 17}[/tex]
Hope I helped!
Best regards!!
N = ?
N = - 6 - 9 + 32
N = - 15 + 32
N = 17 ✔️
does anyone know this?
Answers
domain -∞, ∞ ,{g/g ER}
range 0,∞, {y/y≥}
Answer:
The third option is correct.
Step-by-step explanation:
The square root cannot be negative so its minimum value is 0 and its maximum is 3.
So the domain is [-3, 3] and the range is [0+4, 3 + 4] = [4, 7].
40 + (12) (27) + 18=
Answers
Answer:
Hey there!
40+12(27)+18
40+324+18
364+18
382
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{382}}}}[/tex]Step-by-step explanation:
[tex] \sf{40 + (12)(27) + 18}[/tex]
Multiply the numbers : 12 and 27
⇒[tex] \sf{40 + 324 + 18}[/tex]
Add the numbers : 40 , 324 and 18
⇒[tex] \sf{382}[/tex]
Hope I helped!
Best regards!!
factorise 6x²-14x-12
Answers
Answer:
2(x - 3)(3x + 2)
Step-by-step explanation:
Given
6x² - 14x - 12 ← factor out 2 from each term
= 2(3x² - 7x - 6) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 6 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the x- term
3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )
= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term
= (x - 3)(3x + 2)
Thus
3x² - 7x - 6 = (x - 3)(3x + 2) and
6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form
Please help with the question below
Answers
The relation shown in the graph is a function. True or false
Answers
Answer:
True. Brainlyest plz
Which equations have one solution
Answers
Answer: C and F
Step-by-step explanation:
Remember that for two equations to have the same solutions they need to have the different slopes and different y intercepts or they could have the same y-intercepts but different slopes.
First we will simply each of the equations
A. [tex]\frac{1}{3} x + 3 = 26 + \frac{6}{18}x - 23[/tex] reduces to .[tex]\frac{1}{3}x + 3 = \frac{1}{3} x + 3[/tex] Since this have the same slopes and same y-intercept they have infinitely many solutions
B. x +3 + 3x = -3 +4x +6 reduces to 4x + 3 = 4x +3 This also have the same slopes and same y-intercepts which means it also have infinitely many solutions.
C. 2(1/5 + 1/4x) -2x = x -1 reduces to -3/2x +2/5 = x -1 This have different slopes and different y intercepts so they have One solution.
D . 4.3x + 2.5 -2.2x + 2.2 -2.1x = 0 reduces to 4.7 = 0 which means that this equation have no solution because 4.7 does not equal 0.
E. 2(4x +3) + 2x= 5(2x + 3) reduces to 10x + 6 = 10x + 15 which means this also have No solution because they have the same slopes but different y-intercepts.
F. 2/5x + 10 + 3/5x = 2x + 5 reduces to 1x + 10 = 2x + 5 This also have 1 solution because they have different slopes and different y intercepts.
Follow the steps to solve for the variable in this two-step equation: 5x – 10 = 0
Answers
-10 is added to 0 making is 5x=10
Divide 5 on both sides making is x=2
Twelve relatives always give gifts to one another. They have been doing it for eight years. How many exchanges have happened so far?
Answers
Answer:
1,056 gifts
Step-by-step explanation:
If twelve relatives give gifts to one another
This means each of the twelve relatives gets gifts from the other 11 relatives
=12 relatives * 11 gifts
= 132 gifts per year
They have been doing it for 8 years
Total gifts exchanged for 8 years= 132 gifts × 8 years
=1,056 gifts
Therefore, number of gifts exchanged for 8 years among 12 relatives is 1,056 gifts
Zlatko, a construction supervisor, has signed a contract worth $87 000 to ensure that a factory
is built by June 30. He will receive a bonus of 1.5% of his contract for each day the job is completed ahead of time. How much will Zlatko earn if the factory is completed on June 22?
Answers
June 30 - june 22 = 8 days
Zlatko earn: $87000 + (8x$1305)= $87000 + $10440 = $97440
Shawna is buying a rug for her room store a has the rug for $45 with a 10% discount store B has the same rug for $46 and is offering a $10 off coupon the sales tax is 6% on either purchase if sauna only has $40 to spend which store will see purchased a rug from and how much better Will she have left over
Answers
Answer:
Shawna buys her rug at STORE B and she has $1.84 left over after purchasing her rug.
Step-by-step explanation:
Store a
Store a sells their rug for $45
Store a offers a discount of 10%
Discount = 10% × $45 = $4.5
Amount payable after discount = $45 - $4.5
= $41.5
There is a sales tax of 6%
The total amount payable
Amount of sales tax + Discounted price of rug
Amount of sales tax = 6 % × $41.5
= $2.472
= Discounted amount + Sales tax
= $41.5 + $2.472
=$43.972
Store b
Store a sells their rug for $46
There is a sales tax of 6%
The total amount payable
Store b offers a 10 dollar coupon off for the rug
= $46 - 10
Amount payable after = $36
Amount of sales tax + price of rug(After coupon is deducted)
Amount of sales tax = 6 % × $36
= $2.16
Amount payable by Shawna in Store a = $36 + Sales tax
= $36 + $2.16
=$38.16
Since Shawna has , only $40 to spend, she buys her rug at STORE B
The amount she has left = $40 - $38.16
= $1.84
What is 5/8 of $44.83? Round to the nearest cent (hundredth).
Answers
Answer:
$28.02
Step-by-step explanation:
5/8 of 44.83
0.625 • 44.83 = 28.01875
≈ 28.02
Answer:
$28.02
Step-by-step explanation:
5/8 of $44.83
(5 * 44.83) / 8
$28.02
The regular price for a T-shirt is $25 and the regular price for a pair of jeans is $75. If the T-shirt is sold at a 30% discount and the jeans are sold at a 10% discount, then
the total discount is
Answers
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch.
Answers
Answer:
The equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Step-by-step explanation:
The equations m (x) and g (m) are as follows:
[tex]m(x)=\pi x^{2}-2\sqrt{2}x^{2}\\g(m)=1.50m[/tex]
It is provided that the cost of mulch requires is represented by the function g(m), where m is the area requiring mulch.
To compute the equation of cost of mulch based on the radius of the circle substitute the value of m (x) in g (m).
The equation of cost of mulch is:
[tex]g(m) = 1.50m[/tex]
[tex]=1.50\times m(x)\\\\=1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex]
Thus, the equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Answer:
the answer is A
Step-by-step explanation:
edge
Write the quotient as a mixed number.
94 divided by 7 = 13 R3
Answers
Answer:
13 3/7
Step-by-step explanation:
94÷7=13 r3
13 and 3 over 7
Simplify the expression. Write your answer as a power.
(-1/2)^3 x (-1/2)^6
What is the expression?
Answers
Answer:
The answer is
[tex]( { - \frac{1}{2} })^{9} [/tex]Step-by-step explanation:
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} [/tex]Use the rules of indices
Since they have the same base and are multiplying we add the exponents
That's
[tex] {a}^{x} \times {a}^{y} = {a}^{x + y} [/tex]So we have
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} = ({ - \frac{1}{2} })^{6 + 3} [/tex]We have the final answer as
[tex]( { - \frac{1}{2} })^{9} [/tex]Hope this helps you
Solve for y. * y - 9 = 16
Answers
Answer:
y = 25
Step-by-step explanation:
y - 9 = 16
y = 16 + 9
y = 25
Answer:
y = 25
Step-by-step explanation:
y - 9 = 16
=> y = 16 + 9
=> y = 25
please help me on this i’ll mark u the brainliest
Answers
Step by step:
3 angles in a triangle add up = 180 degrees
180 - 63 - 99 = 18
so a = 18 degrees
Hope this helps!
1. Name the vertex of the angle
2. Name the sides of the angle.
3. Give three ways to name the angle.
4. Classify the angle.
Answers
Answer:
see explanation
Step-by-step explanation:
1. The angle is RST
2. The sides of the angle are SR and ST
3. The angle can be named as ∠ RST, ∠ TSR, ∠ S
Note in the 3 letter angle name the vertex of the angle is in the middle
4 The square at S indicates the angle is right, that is 90°