Answers
Answer:
Height = 9 cm
Volume = 243 cm³
Surface area = 270 cm²
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.
The height of the prism is also called the length, and is the measure of the length that connects the two bases.
So for this prism the height is 9 cm.
Area of the base = (6 × 3) + (3 × 3)
= 18 + 9
= 27 cm²
Volume of a prism = area of the base × height
= 27 × 9
= 243 cm³
Total surface area = (2 × base area) + side areas
= (2 × 27) + 2(6 × 9) + 4(3 × 9)
= 54 + 108 + 108
= 270 cm²
Related Questions
What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.
Answers
The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
The given expression is: [tex]2x^{2} +3x-54[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
We can rewrite the given expression as:
[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)
Take 2 as common from first two terms while take -9 as common from last two terms.
[tex]2x(x+6)-9(x+6)[/tex]
Take (x+6) as common
[tex](x+6) (2x-9)[/tex]
So, we got the factors (x+6) and (2x-9)
Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
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Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-
Answers
Answer:
c
Step-by-step explanation:
The bearing of a point K from a point L is 084 degrees. What is the bearing of L from K
Answers
Answer:
if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree
The bearing of a point L from a point K is 264 degrees.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The bearing of a point K from a point L is 084 degrees.
Now,
Since, The bearing of a point K from a point L is 084 degrees.
Hence, The bearing of a point L from a point K = 180° + 84°
= 264°
Thus, The bearing of a point L from a point K is 264 degrees.
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Julian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 3.5 points for each visit to the movie theater. He needs 120 points for a free movie ticket. Which equation or tape diagram could be used to represent the context if xx represents the number of visits Julian must make to earn a free movie ticket?
Answers
Answer:
an equation that can be used to represent the number of visits needed to earn a free movie ticket is
3.5x+85=120
Step-by-step explanation:
you would multiply 3.5 by the number of visits (x) to determine how many points Julian would have earned in total. you would add 85 to the product of 3.5(x) because he had started with 85 points.
if you want to find how many times Julian would need to visit the movie theater to get a free movie ticket you can subtract 85 from 120, to find out how many visits are necessary before adding the extra 85 points. subtracting that leaves you with 35, and if you divide that by 3.5, the number of points per visit, you are left with 10. Julian would need to visit the theater 10 times before earning a free movie ticket.
if you want to check to see if that's right, you can just do the equation in reverse. rather than 85-120=35/3.5=10, you can do 10*3.5=35+85=120
hope this helps
The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?
Answers
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
A bottle is launched from a bottle launcher. The height of the bottle is modeled by the equation h(t) = –16t2 + 78t + 10. How long does it take the bottle to reach the ground?
A.
10 seconds
B.
5 seconds
C.
4.7 seconds
D.
1.1 seconds
Answers
Answer:
C: 4.7
Step-by-step explanation:
Axis of symmetry: -b/2a
a=-16
b=78
-78/2(2(-16))= 4.875 seconds in the air.
Multicultural Studies!
HELP PLEASE
Gisela didn't say anything when her friend made a joke about the texture of
Black people's hair. What is Gisela showing?
O A. Assertive behavior toward racism
B. Institutional racism
C. Passive acceptance of racism
D. Intolerance toward racism
Answers
Answer:
It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).
The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for .
Answers
Answer:1017.36[tex]ml^{2}[/tex]
Step-by-step explanation:
Diameter= 36ml
radius=diameter/2
R=36 ÷2
R=18ml
Area=π[tex]r^{2}[/tex]
Area=3.14 x [tex]18^{2}[/tex]
Area=1017.36[tex]ml^{2}[/tex]
Answer:
Step-by-step explanation:
What do I have to major in to become an astronomer and approximately how long would I have to stay in college?
Answers
How much would you have after 4 years if you invested $1250 with a quarterly compounding interest rate of 5%?
Answers
Using compound interest, it is found that you would have $1524.86.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem, we have that the values of the parameters are given by: P = 1250, r = 0.05, n = 4, t = 4. Hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(4) = 1250\left(1 + \frac{0.05}{4}\right)^{4 \times 4} = 1524.86[/tex]
Tou would have $1524.86.
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A and b are supplementary angles. angle a measures 67° what is the measure of angle b
Answers
Answer:
113°
Step-by-step explanation:
because supplementary angles add up to 180°
thus if a is 67° then we subtract 67° from 180° and b will be 113°
Two basketballs fell, without bouncing, from a net and a chair at the same time. The ball which fell from the net rolled 30 feet. Note: Figure is not drawn to scale The horizontal and vertical distances traveled by the balls formed similar triangles. How far did the second ball roll from the chair? A. 6 feet B. 22 feet C. 4 feet D. 3 feet
Answers
Answer:
c
Step-by-step explanation:
PLEAASE SOMEONE HELP ME IM SO STUCK
finish the table using the equation y= x/2
Answers
use the muliplier method to increase 88 pound by 14% show your working
Answers
Answer:
100.32
Step-by-step explanation:
Since the question is asking to INCREASE, you want to multiply 88 by 1.14
This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)
Whenever you want to increase by a percent, you add 100% to the number.
So:
88 * 1.14 =
100.32
Pls help i will give 5 starts and brainliest question is down below 9:22
Answers
Answer:
D
Step-by-step explanation:
I have done this before
Top row units is 8 i then multiplied both sides so 5*2 which = 10 then multiplied 8*10 to get 80
Answer:
80 square units (D)
Step-by-step explanation:
Base is 16 units, height is 5 units. 16 * 5 = 80
Help me do this question :)
Answers
Answer:
[tex]y = \frac{1}{8}x -7[/tex]
Step-by-step explanation:
Slope formula: [tex]y=mx+b[/tex]m = slope[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]Find the slope using (8, -6) and (-8, -8):
[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]
[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]
Now, we use either of our points (8, -6) OR (-8, -8) to find b.
I will be using (8, -6):
[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]
[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]
Check your answer manually: (-8, -8)
[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!
Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5
Answers
Answer:
B is the correct answer
Step-by-step explanation:
42/7 = 6
60/6 =10
A (2, 2)
b (0,3)
c (2, 4)
rhombus abcd has the coordinates listed. find the coordinates of point d.
es )
a)
)
(4.3)
b)
(3,4)
c)
(3.3)
d)
(4.4)
Answers
Answer:
I think its 3,4 maybe
Step-by-step explanation:
try it out but I'm not sure
Does the budgeted amount cover the actual amount for expenses, savings, and emergencies?
A)
No, it's short $207.00,
No, it's short $227,00,
o
Yes, there's a surplus of $207.000
D)
Yes, there's a surplus of $227.00,
Answers
Answer:
No its short 207
Step-by-step explanation:
Took the test on UsaTestPrep got it right :)
Bye loves <3
Answer:
the one b4 is wrong its a surplus of 207 .-.
Step-by-step explanation:
this is correct usatestprep also lol
Wendell wants to make a wooden lid for a decorative box. The lid needs to be 612inches wide and 812inches long with sides 2 inches deep. Part A Part B Wendell has a square piece of wood that has a side length of 12 inches. Based on your answer to Part A, does Wendell have enough wood to make the lid? Explain. Wendell has enough wood to make the lid because the surface area of his piece of wood is larger than the surface area of the wood needed. Wendell does not have enough wood to make the lid because the longest piece needed for the lid is longer than the side of his piece of wood. Wendell has enough wood to make the lid because each dimension of the box is less than the side length of his piece of wood. Wendell does not have enough wood to make the lid because the surface area of his piece of wood is smaller than the surface area of the wood needed
Answers
Answer:
Step-by-step explanation:
A
Can you help me solve for #1 please?
Answers
Answer:
x = 15
It is a Pythagorean triple.
Step-by-step explanation:
1.
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
x = 15
The three numbers, 9, 12, 15 do form a Pythagorean triple since they are integers.
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.90. Today they made $78.60 from the 57 wraps sold. How many of the wraps so ld were vegetarian?
Answers
explanation: to be honest i estimated this answer because i need more points for my work
Jaden is looking up at the top of a 56 Foot
rock climbing wall
. If Jaden is standing 15 feet
from the base of the wall,
what is the angle
of elevation from Jaden to the top of the wall?
Answers
noooooooooooooooooooolo
How many words have i written
Answers
Answer:
6
Step-by-step explanation:
20 points, A right rectangular prism is 9.5 inches long, 4 yards wide and 3 yards tall what is its volume?
Answers
Answer:
114
Step-by-step explanation:
You first have to do L x W x H
which will be 9.5 x 4 x 3
that gives you 114
which is the answer 114!!
In how many years will $1,000 yield an interest of
$6000 at 60% simple interest?
Answers
Answer:
10 years
Step-by-step explanation:
The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.
__
I = Prt . . . interest earned on principal P at rate r for t years
6000 = 1000·0.60·t . . . . use the given values for I, P, r
6000/600 = t = 10 . . . . divide by the coefficient of t
$1000 will yield an interest of $6000 in 10 years.
the diameter of a circle is 13.8cm. Find the length of its radius
Answers
Hello!
R = D/2
R= 13,8/2 => 6,9cm
The length of the circle's radius is 6.9 cm.
The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.
Given: Diameter (d) = 13.8 cm
Length of radius (r) = d / 2
r = 13.8 cm / 2
r = 6.9 cm
The length of the circle's radius is 6.9 cm.
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ASAPPPPPPPPPPPP!!!!!!
Answers
Answer:
angle C measures 31 degrees.
Step-by-step explanation:
because when they are complementary, the two angles add up to 90 degrees and you know the measure of part of that 90 already, so its as simple as subtracting 90-59=31
Answer:
31
Step-by-step explanation:
complementary angles equal 90
90-59=31
which is larger 0.849 or 1.08
Answers
Answer:
the answer to this question is 1.08
She says that the coffee cup fountain actually holds about 400 gallons of coffee.
The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover the
equivalent of half a city block.
You look up some information.
• One gallon of water covers about 13.8 square feet.
• Near the mall, an average city block is about 300 feet by 300 feet.
Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether the
newscaster's claim is correct.
• Construct an argument that supports or refutes the newscaster's claim.
Include mathematics to support your argument.
Answers
https://www.perfection-events.com/content/back-basics-coffee-essentials
Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.
What is the area of the city block?The area of the city block is calculated from the product of the dimensions provided:
The city block is in form of a square, hence it's area = side × side
Dimension of city block = 300 feet by 300 feet.
Area of city block = 90000 square feet
Half of area of city block = 45000 square feet
1 gallon covers 13.8 square feet
400 gallons will cover = 400 × 13.8 = 5520 square feet
The area 400 gallons of coffee will cover is less than 45000 square feet.
Therefore, the news caster's claim is wrong.
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