surface area of prisms. please help with the work shown because i can't figure out how to solve these :(
Answers
here: :)
I did the work, and basically i solved for the area of the faces and then multiplied that by two to get the total surface area of the faces. Then I added in the areas of the sides connecting the two faces:
just as a referral: the formulas to find the faces are as follows:
rectangle: length times width
circle: pi x r^2
trapezoid: h(base1 + base2)
and triangle: (b x h)/2
Related Questions
Find the surface area of the composite figure
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]1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answers
Answer:
Step-by-step explanation:
A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?
Answers
the base is 6ft of the billboard
You can answer either question but just know you will get brainliest!
Answers
Answer:
1. x= -4
2. x= 7
Step-by-step explanation:
hope this helps :)
Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce . Write a system of equations to represent the problem . Let x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars . plz help i need to raise my grades :(
Answers
Answer:
Step-by-step explanation:
Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce .
SLet x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars .
System of equation
y = 2 + 0.5x
Hey pls help me what is 12*5?
Answers
Answer:
60
Step-by-step explanation:
Thx for the points Imfaoo
Please help I have 15 minutes!!!!!!!
Answers
Answer:
NO WAIT NO IGNORE MY PREVIOUS ANSWER
NOT A FUNCTION
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.
9 tickets to a theme park cost £243, how much would 7 tickets cost
Answers
Answer:
£189
Step-by-step explanation:
Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7
cost of 1 ticket = £243 ÷ 9 = £27
cost of 7 tickets = 7 × £27 = £189
Mr porter had eight parties at her house last year the number of guest at each party is shown below 15,19,9,27,21,21,10,14
Answers
Answer:
17Step-by-step explanation:
Complete question
Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties
The median value is the value at the middle after rearrangement
On rearranging in ascending order
9, 10, 14, (15, 19), 21, 21, 27
Since there are two values in the middle, we will take the average of the numbers
Median = 15+19/2
Median = 34/2
Median = 17
Hence the median value is 17
The area of a square garden is 64 m2. How long is each side of the
garden?
Answers
Answer:
hope this will help you more...best of luck
help for brainliest !
Answers
Answer:
<EGF = 54
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
<EGF = 1/2 arc EF
<EGF = 1/2 (108)
<EGF = 54
In the diagram, the measures of 23 and 27 are 45°. The measure of Z5 is 135º. Are lines cand d parallel? e 1. 2 3 d 6 5 7 8
Answers
What equation can I
use to find 42×51
Answers
Answer:
2142
Step-by-step explanation:
nine red balls and six blue balls are in a bag. if two were selected at random, determine the probability of selecting two red balls. set up the problem as if it would be solved but don't solve
Answers
Explanation: 9 out of the 15 total balls are blue and when you remove one blue ball, 8 out of fourteen balls are blue. These fractions are the chances of drawing each ball separately, so you multiply the chances together to get the chance of both happening.
What is the next step
Answers
Answer:
measure of angle ABC is 6 degree.
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
Measure of angle CBD = 2x+1.
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
Which graph is the graph of f(x)= x-1/x+2
Answers
Answer:
Step-by-step explanation:
Right bottom answer
The graph that represents the function f(x) = x - 1/x + 2 is graph (d)
How to determine the graph of the equation?The equation of the function is given s:
f(x) = x - 1/x + 2
The above function is a rational function, and it has its asymptotes at y = 2 and x = -2
From the list of given options, the graph d (bottom right) has its asymptotes at y = 2 and x = -2
Hence, the graph that represents the function f(x) = x - 1/x + 2 is graph (d)
Read more about functions and graphs at:
https://brainly.com/question/4025726
#SPJ2
8(4x-1)-12x=2(11x-3)
Answers
Answer:
Solving for X? would be 1
Step-by-step explanation:
32x-8-12x=22x-6
20x-8=22x-6 then subtract 20x from each side and add 6 to each side
2=2x then divide by 2 and getting 1 is x
Answer:
x=-1
Step-by-step explanation:
Which fraction has a repeating decimal as its decimal expansion?
Answers
Answer:
3/11
Step-by-step explanation:
3 divided by 11 = 0.27272727272
You won $1000 in a radio contest. If you invest it in an account that pays 4.5% interest compounded semiannually, what will be your balance after 4 years?
please answer I'll give you five stars
Answers
Answer:
[tex]A= P( 1 + \frac{r}{n})^{nt}\\[/tex]
P = 1000
r = 4.5% = 0.045
n = semi annually = 2
t = 4
[tex]A= 1000( 1 + \frac{0.045}{2} )^8 =1000(1 +0.0225)^8= \$ 1194.83[/tex]
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answers
Answer: The first one:
The graph is a function because each input has exactly one output.
Please mark brainliest. Hope this helps.
Which body system is responsible for exchange of oxygen and carbon dioxide between the body and the atmosphere?
Answers :
A. Nervous System
B. Excretory System
C. Circulatory
D. Respiratory System
----------------------------------
Answers
Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?
Answers
Answer:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
Step-by-step explanation:
Given
[tex]Library \to \frac{1}{2}[/tex]
[tex]Post\ Office \to \frac{3}{5}[/tex]
See comment for complete question
Required
Write as a common denominator
Take the denominator of both fractions
[tex]2 \to[/tex]
[tex]5 \to[/tex]
Calculate the LCM
[tex]2 \to 1 * 2[/tex]
[tex]5 \to 1 * 5[/tex]
[tex]LCM = 1 * 2 * 5[/tex]
[tex]LCM = 10[/tex]
Multiply the numerator and the denominator of both fractions by 10
Simplify each to ensure a denominator of 10
[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]
[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]
Hence, the pair is:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
What is 5.704 expressed to two decimal places?
Answers
Answer:
5.70, or 5.7.
Step-by-step explanation:
4 is rounded to 70 (4 and below you round down), the 5 stays the same, and then you get 5.70 which you can reduce to 5.7.
Can you help me, I would appreciate it very much:(
Which is the answer?
A.1
B.5
C.8
D.2
Answers
As they r corresponding angles, they equal one another.
440
36°
B
A
F
Angle BAC and angle DAE are
complementary. What is the
measure of angle DAE?
Answers
Answer:
44 degrees
Step-by-step explanation:
if BAC and DAE are complementary then their sum is equal to 90 degrees
90 - 36 = 44 degrees
Answer:
54
Step-by-step explanation:
your suppose to substract 90 degrees minus 36 = 54
90-36=54
???????????????….?????…..?????????
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:
Cos33°=y/19 Here, we need to isolate the Y
And, the final result is
19Cos33°= Y
So, the correct answer is the letter D
Graph the line with the equation y=-2/5x+1
Answers
Answer:
Step-by-step explanation:
slope = -2/5
y intercept = (0,1)
The graph of the line y=-2/5x+1 is given below.
To graph the line with the equation y = -2/5x + 1, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -2/5, which means that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 2/5 units. The negative sign indicates that the line slopes downward from left to right.
The y-intercept is 1, which is the point where the line crosses the y-axis.
To plot the line, start by marking the y-intercept at (0, 1) on the coordinate plane. From there, use the slope to find additional points. For example, if you move 5 units to the right (because the denominator of the slope is 5) from the y-intercept, the y-coordinate will decrease by 2 units, giving you the point (5, -1).
To learn more about the linear equation;
https://brainly.com/question/29739212
#SPJ6
Find the average value of f(x)=−5x4+4x−10
over the interval [−2 , 2]
-104
335
67
26
-67
-151
151
-335
104
-26
Answers
Answer:
Step-by-step explanation:
the answer is f(x)= -5x4+4x-10 over [-2,2]
For you guys not for me- The orca weighs 4 tons. How many pounds is that
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
Thanks Hope it helps.It’s all in the picture. WILL GIVE BRAINIEST TO CORRECT ANSWER
Answers
2. A
3. D
4. B
The 5 vertical lines shows the (left to right) minimum value, quartile 1, median, quartile 3, and maximum value.