Answer:
A.
Step-by-step explanation:
64/4=16 80/5=16 They are multiplied by the same number so it is A
Find the surface area of the composite figure
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]9 tickets to a theme park cost £243, how much would 7 tickets cost
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
En un estacionamiento cobran $12.00 la hora y $3.00 por 1/4 de hora ¿Cuánto debo pagar si estacione mi coche a las 11.15am y los saque a las 3.00pm
Ayuda plis doy coronita.
Answer:
$45
Step-by-step explanation:
De 11.00am a 3.00pm hay 4 horas de diferencia.
Eso seria 12x4=$48
Pero necesitamos restarle 1/4 de hora, por lo que se estaciono a las 11.15am y no a las 11.00am
1/4 de hora o 15min= $3.00
48-3=45
Please help I have 15 minutes!!!!!!!
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.
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
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]
For you guys not for me- The orca weighs 4 tons. How many pounds is that
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.A cab company charges $4 per cab ride, plus an additional $3 per mile driven. How long is a cab ride that costs $22?
Answer:
6 miles
Step-by-step explanation:
Flat fee is $4
Per mile is $3
Equation :
4 + 3m = 22
subtract 4 from both sides
3m = 18
divide each side by 3
m = 6
The ride is 6 miles.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
John is watching a baseball game. So far, 6 out of 8 batters have gotten a hit. What is the
experimental probability that the next batter will get a hit?
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
URGENT HELP!!!!!!!!!!!!!!!!!
Please don’t link any files!!
Answer:
C
Step-by-step explanation:
There are 5 Frogs that jumped between 50 to 100. We don't know if any jumped 60
Answer:
C is the answer by default
Four times the sum of a number and 18 is at least -22
Answer:
x=7
Step-by-step explanation:
3x+4=18+x
2x=14
Set number equal to "x".
Please answer this math question for me
Answer:35 51 98
Step-by-step explanation:
Answer:
Hello! Thanks for posting the question again!
Anyways here are the answers...
d = 35 because its a vertical angle
e = 51 because its a vertical angle
Now to find f we have to add these up then subtract by 360 then ÷ by 2 so 51 + 51 + 35 + 35 = 172 360 - 172 = 188 188 ÷ 2 = 94 so f = 94
440
36°
B
A
F
Angle BAC and angle DAE are
complementary. What is the
measure of angle DAE?
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
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
Answer:
Step-by-step explanation:
the answer is f(x)= -5x4+4x-10 over [-2,2]
Which fraction has a repeating decimal as its decimal expansion?
Answer:
3/11
Step-by-step explanation:
3 divided by 11 = 0.27272727272
Can you help me, I would appreciate it very much:(
Which is the answer?
A.1
B.5
C.8
D.2
8(39 + 11)
a (8 +39) * (8 + 11) = 893
b. (8 x 39) * (8 x 11) = 27456
C. (8 +39) + (8 + 11) = 66
d. (8 x 39) + (8 x 11) = 400
Answer:
option D is the correct answer
What is 5.704 expressed to two decimal places?
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.
State if the two triangles are congruent. If they are, state how you know.
5)
Answer:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
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
----------------------------------
A person invested $650 in an account growing at a rate allowing the money to double
every 13 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $1, 620?
Answer:
17.1
Step-by-step explanation:
because i did it lol
It’s all in the picture. WILL GIVE BRAINIEST TO CORRECT ANSWER
Can someone help brainllest and 20 points
Answer:
10a+5
Step-by-step explanation:
10(a+.05)
Distribute the 10
(10*a)+(10*.5)
Multiply
10a+5
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer: The first one:
The graph is a function because each input has exactly one output.
Please mark brainliest. Hope this helps.
8(4x-1)-12x=2(11x-3)
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:
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 :(
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
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?
the base is 6ft of the billboard
A spinner with three sectors labeled A,B, and C is spun, and a coin is flipped. Let H stand for heads and T for tails. What is the sample space for the experiment?
Answer:
the answer is 1/8
Step-by-step explanation:
What is the next step
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
8. An $18,000 car depreciates at a rate of 16% per year. How old will the car be when it is worth $12,000?