Answers
solution given:
For Cuboid
length[l]=11mm
breadth [b]=9mm
height[h]=6mm
For semi cylinder
height[H]=11mm
radius[r]=[tex] \frac{9}{2}=4.5mm[/tex]
Now
Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]
:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9
:438+219.2-99
:558.2mm²
Here area of base is subtracted as it is not included.
Total surface area of composite figure is :558.2mm².
Answer:
[tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringGeometry
Shapes
Congruency
Congruent sides and lengthsRadius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]
d is diameterSurface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)
w is widthl is lengthh is heightSurface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
[Rectangular Prism] w = 9 mm
[Rectangular Prism] l = 11 mm
[Rectangular Prism] h = 6 mm
[Cylinder] d = 9 mm
[Cylinder] h = 11 mm
Step 2: Derive
Modify Surface Area equations and combine
[Surface Area of a Cylinder Formula] Factor: [tex]\displaystyle SA = 2(\pi rh + \pi r^2)[/tex][Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]: [tex]\displaystyle SA = \pi rh + \pi r^2[/tex][Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d}{2})^2[/tex][Surface Area of a Semi-Cylinder] Evaluate exponents: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d^2}{4})[/tex][Surface Area of a Semi-Cylinder] Multiply: [tex]\displaystyle SA = \frac{\pi dh}{2} + \frac{\pi d^2}{4}[/tex][Surface Area of a Rectangular Prism] Remove top: [tex]\displaystyle SA = 2(wh + lh) + lw[/tex]Combine Surface Area equations: [tex]\displaystyle SA_{Total} = \frac{\pi dh}{2} + \frac{\pi d^2}{4} + 2(wh + lh) + lw[/tex]Step 3: Find Surface Area
Substitute in variables [Combined Surface Area equation]: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (9 \ mm)^2}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Evaluate exponents: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (81 \ mm^2)}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[54 \ mm^2 + 66 \ mm^2] + 99 \ mm^2[/tex][Brackets] Add: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[120 \ mm^2] + 99 \ mm^2[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 240 \ mm^2 + 99 \ mm^2[/tex]Add: [tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]Related Questions
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Answers
Answer:
x-¹⁰ is the correct answer dude
Answer:
= x^ 2 + x^ -12
= x^ 2 + (-12)
= x ^ -10
8.
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D. y = 4x2
Answers
Answer:
D: y = 4x^2
Step-by-step explanation:
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Helllp ill give brainlesst
Answers
Answer:
12
Step-by-step explanation:
I think it is 12 because when you divide 54 / 4.5 you end up getting 12. I dont know if its correct. If it is, than your welcome. LOL
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Answers
Answer:
C
Step-by-step explanation:
Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°
The values given are 19 (hypotenuse), y (adjacent side), and the angle (33°)
The formula for cosine is adjacent side divided by the hypotenuse
After plugging in the values given into the formula cosx=ad/h, we have:
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So, the correct answer is the letter D
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—————
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Help please
Answers
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Step-by-step explanation:
What is the next step
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Answer:
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Step-by-step explanation:
After you found x, you'll plug it in the equation of the angle it's asking for.
Measure of angle ABD, and you know measure of angle ABC = 4x-1.
4(1)-1 = 4-1 = 3
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2(1) +1 = 3
Measure of angle ABC is ABD + CBD
3 + 3 = 6
Answer:
6°
Step-by-step explanation:
We know that is 4x - 1 + 2x + 1
So it equals
6x
or 6 ( 1) = 6°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
$20.64
Step-by-step explanation:
if you cut 61.92 in to thirds
61.92/ 3= 20.64
so if Sarah's friends payed 2/3 of the bill Sarah herself payed 1/3 which is $20.64
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Answers
A.
Step-by-step explanation:
It's exactly what's asked for.
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Answer:
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Answers
Answer:
True
Step-by-step explanation:
x^a = b
x^( a / a ) = b^( 1 / a )
x^1 = b^( 1 / a )
x = b^( 1 / a )
1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answers
Answer:
Step-by-step explanation:
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acute isosceles
obtuse isosceles
Right isosceles
acute scalene
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obtuse isosceles
Step-by-step explanation:
An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle). It is not possible to draw a triangle with more than one obtuse angle. Note: It is possible for an obtuse triangle to also be scalene or isosceles. An equiangular triangle has three congruent angles.
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Answers
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Answers
Answer:
8,000 pounds
Step-by-step explanation:
1 US ton = 2,000 pounds
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8000 pounds.1 ton is 2000 pounds
4 tons = 8000 pounds
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over the interval [−2 , 2]
-104
335
67
26
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151
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104
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Answers
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Step-by-step explanation:
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Answers
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160 and 20 degrees
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
multiply both sides
swap the sides
and then write in parametric form
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Answers
Answer:
NO WAIT NO IGNORE MY PREVIOUS ANSWER
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If you draw vertical lines on the dotted line, one line will intersect two parts of the dotted line, so it is not a function.
Simplify: 8 + 14 – 5 - 7 + 3 - 7 - 4
Answers
Answer:
2
Step-by-step explanation:
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]8+14-5-7+3-7-4[/tex]
We'll Follow the PEMDAS order of operations:-
Add and subtract:-
8+14=22
[tex]22-5-7+3-7-4[/tex]
22-5=17
[tex]17-7+3-7-4[/tex]
17-7=10
[tex]10+3-7-4[/tex]
10+3=13
[tex]13-7-4[/tex]
13-7=6
[tex]6-4[/tex]
[tex]2[/tex]
OAmalOHopeO
Question #5: You decided to paint one of the walls in the dining room the color blue. The shape of the wall is shown below. One gallon of paint covers 50 square feet. The wall will need two coats of paint. How many gallons of paint will you need to buy?
Total area of the wall:
Gallons of paint needed:
Answers
Answer:
Step-by-step explanation:
Draw a horizontal line from the top corner of the left wall to the right wall. Now you have a rectangle on the bottom 8’x10’ (80 square feet) and a triangle on the top with a height of 5’ and a base of 8’. 1/2 base times height =20. You need to paint 100 sq feet so you need 2 gallons.
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Answers
d = 12.25
Step-by-step explanation:
d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(-1, 7, -10)
Substitute the values in the above equation and you will get
d = √(-1 - 0)^2 + (7 - 0)^2 + (-10 - 0)^2
= √(1 + 49 + 100)
= √150
= 12.25
Answer:
12.25
Step-by-step explanation:
Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
32 B (4 x 3)2 C (4 + 3)2 D 4 + 3
Answers
please help i’ll give brainliest!!! thanks
Answers
Answer:
Tang instituted government - funded social programs , which were designed to help the poor .
hope it is helpful to you.
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Answers
the base is 6ft of the billboard
Martika surfs with her friends at Virginia Beach. Her friend, Mark caught 8 waves out of 20 possible waves to ride in the shore. They plan to stay out in the water for 50 more waves. How many of the 50 waves do you predict Mark will catch?
Answers
Answer:
40 waves
Step-by-step explanation:
Prob (Mark catches waves) = Times waves caught / Total waves = 8 / 20 = 4 / 5 = 20%
Predicted waves out of 50 , caught = 4 / 5 or 20% of 50 = (4 / 5) x 50 = 40
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A.1
B.5
C.8
D.2
Answers
As they r corresponding angles, they equal one another.