Answers
Answer:
Step-by-step explanation:
Given composite figure is made up of two solids.
Top part is a triangular prism and the bottom is a rectangular prism.
Volume of the composite solid = Volume of the triangular prism + Volume of the rectangular prism
Volume of the triangular prism = Area of the triangular base × Height of the prism
= [tex]\frac{1}{2}(\text{Base})(\text{Height}) \times (\text{Height of the prism})[/tex]
= [tex]\frac{1}{2}(4\times 6)\times 10[/tex]
= 120 square m
Volume of the rectangular prism = Length × Width × Height
= 6 × 10 × 6
= 360 m²
Total volume of the composite solid = 120 + 360 = 480 m²
Option A is the answer.
Related Questions
2^(4- )8+16 *2
simplify
Answers
Answer:
-32
Step-by-step explanation:
TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and volume is 757.36cm.
Answers
Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm
In the following arithmetic sequence, which number is
missing from the series?
(2, 104, 206, 308, _____, 512, 614)
Answers
Answer:
410
Step-by-step explanation:
Every sequence 102 gets added
'
The population of a coty is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years
Answers
Answer: [tex]1,00,000(1+0.042)^x[/tex]
Step-by-step explanation:
Given
The initial population of a city is [tex]P_o=1,00,000[/tex]
The annual growth rate is [tex]4.2\%[/tex]
after 1 year it is
[tex]\Rightarrow P_1=1,00,000+4.2\%\times 1,00,000\\\Rightarrow P_1=1,00,000(1+0.042)[/tex]
after 2 years, it is
[tex]\Rightarrow 1,00,000(1+0.042)+4.2\%\times 1,00,000(1+0.042)\\\Rightarrow 1,00,000(1+0.042)^2[/tex]
after x years it is
[tex]\Rightarrow P_x=1,00,000(1+0.042)^x[/tex]
[tex]\frac{12x}{2x-3x-10} - \frac{x}{(x-5)}[/tex]
Help me :)
Answers
Answer:
Step-by-step explanation:
[tex]\frac{12x}{2x-3x-10}-\frac{x}{x-5}=\frac{12x}{-x-10}-\frac{x}{x-5}\\\\=\frac{12x}{-(x+10)}-\frac{x}{x-5}\\\\=\frac{-12x}{x+10}-\frac{x}{x-5}\\\\=\frac{-12x*(x-5)}{(x+10)*(x-5)}-\frac{x*(x+10)}{(x-5(x+10)}\\\\=\frac{-12x*x-5*(-12x)}{(x+10)(x-5)}-\frac{x*x+x*10}{(x-5)(x+10)}\\\\=\frac{-12x^{2}+60x}{(x+10)(x-5)}-\frac{x^{2}+10x}{(x-5)(x+10)}\\\\=\frac{-12x^{2}+60x-(x^{2}+10x)}{(x+10)(x-5)}\\\\=\frac{-12x^{2} + 60x - x^{2}-10x}{x^{2}+5x-50}\\\\=\frac{-13x^{2}+50x}{x^{2}+5x-50}[/tex]
12x = 60
————-
2x - 3x - like terms
2(5) + -3(5)
|
10 + -15 = -5
-5 + 10 (from the espression) = 5
60. 5
——— = 12. ——— = 1
5 5
So 12 - 1 = 11
11 is the answer
A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62
Answers
Answer:
14.42
Step-by-step explanation:
17.00 x .80 20% off means price is 80% (or .80) of price
=13.6
13.6 x .06 = .82 sales tax
13.60 + .82 = 14.42 sales price plus sales tax
Can someone help me on this plzzz
Answers
Answer:
54
Step-by-step explanation:
8^2=64
64-8=56
56-2=54
I hope this is right
Examination:
8 would be inserted for y : 8^2-8-2
You would use PEMDAS to know solve the exponent first so 8 squared is 64. After you replace 8 squared with 64 you will move to the next step possible by the equation and PEMDAS. In this equation it is subtraction. So now you will subtracted 8 from 64 and will get 56 and then subtracted 2 and get 54. You solve left to right.
A file that is 251 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answers
Answer:
42.9 megabytes
Step-by-step explanation:
251 megabytes × 17.1% = 42.921 ≅ 42.9 megabytes (Rounded to the nearest tenth)
D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?
Answers
Answer:
0.125
green
Step-by-step explanation:
Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125
Answer: 0.25
Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25
PLEASE HELP ME Adam, Chris, and jason have 2 1/2, 3 1/3, and 1/6 pounds of fish, respectively, to bring to the fish fry. how many pounds of fish do they have combined 
Answers
Answer:
6 pounds
Step-by-step explanation:
2 1/2 + 3 /1/3 + 1/6 = 6
The line plot shows the weights of packages of meat purchased at a supermarket. Which of the following conclusions about the line plot are true? Select all that apply.
A.
The difference between the greatest and least weights of the packages is 1/2 pound.
B.
1/4 of the packages weigh 5/8 pound.
C. 6 different packages of meat were purchased in total, each package with a different weight.
D. The number of packages that weigh 1/18 pounds is 3 times the number that weigh 3/4 pound.
E. All of the packages weigh more than 1/2 pound.
Answers
Answer:
B and C hope this helps ☜(ﾟヮﾟ☜)
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
In the figure at the right what is ML1 if ML3 = 70°
Answers
1 and 3 are equal angles
since angle 3 is 70, that makes angle 3 also 70
70 x 2 = 140
there’s 360° total so from there we can do 360 - 140 and that equals 220
since 220° represents 2 angles, we need to divide that in half which is 110
angle 1 = 110
angle 2 = 70
angle 3 = 110
angle 4 = 70
and if you want to check it, we can add 110 + 70 + 110 + 70 which does in fact add up to be 360
Please answer quick asap
Answers
Answer:
1,024
Step-by-step explanation:
Please help me out, right answers are favored
Answers
Answer:
y<_19x-11
Step-by-step explanation:
<_ it means less than and equal too hope it helps
Can someone help me pls
Answers
2/8 is the same as 1/4
Answer:
Hello our answer is C!
Step-by-step explanation:
The ANSWER is C because 1/4 and 2/8 our both equivalent fractions for instance
2/8 reduces to 1/4 so that makes them both equivalent fractions
How do I find this?
Answers
Answer:
16pi cm^2, 112pi cm^3, 351.68 cm^3
Step-by-step explanation:
Given: Height=7cm, radius=4cm
1. The base is a circle and Area of circle = pi * r^2
Plug in the radius to get --> A = pi * (4cm)^2 = 16*pi cm^2
2. This is asking for the volume of the cylinder.
Volume of cylinder is V=h*pi*r^2 --> 7cm * pi * (4cm)^2 = 112 pi cm^3
3. Just plug 3.14 into pi --> 112 * pi cm^3 = 351.68 cm^3
1. The following data represents the number of calories in seven sandwiches
at the restaurant: {740, 610, 490, 370, 500, 510, 460}. Find the mean
absolute deviation. Round your answer to the nearest hundredth.
Answers
Answer:
3710
Step-by-step explanation:
The mean absolute deviation of the seven sandwiches is 85.31 calories.
What is mean?Mean is the average of a group of numbers. The mean absolute deviation (MAD) is calculated using:
[tex]MAD=\frac{\Sigma_{i=1}^n|x_i-mean|}{n} \\\\Mean=\frac{740+610+490+370+500+510+460}{7}= 525.71\\\\MAD=\frac{|740-525.71|+|610-525.71|+|490-525.71|+|370-525.71|+|500-525.71|+\\|510-525.71|+|460-525.71|}{7} \\\\\\MAD=85.31[/tex]
The mean absolute deviation of the seven sandwiches is 85.31 calories.
Find out more on mean at: https://brainly.com/question/1136789
Please help!!! : )))
Sorry it's flipped lol
Answers
Answer:
20-24
Step-by-step explanation:
you can see that when you find the middle of the total data the data set left is in the 20-24 category
hope this helps! :)
plsss give the ans which figure is write
Answers
Answer:
3.6 V and 34 mA
Step-by-step explanation:
Please help!!! I’ll mark you as brainliest!!!
Answers
So you start of with $80
The first step is to find 20% off
An easy way to find 20% is to divide it by 5.
80/5= 16
And since it’s 20% OFF we subtract 16 from 80
80-16= 64
Next we need to do the coupon
It is $5 off so
64-5= 59
And finally the rebate which is $2
59-2= 57
Answer:
57
Answer:
$57
Step-by-step explanation:
→ Do 20% of $80
( 20 × 80 ) ÷ 100 = 16
→ Add 5 to the previous answer
5 + 16 = 21
→ Add 2 to 21
2 + 21 = 23
→ Minus 23 from the total price
80 - 23 = $57
Find The area of the shaded region
Answers
Answer:
Step-by-step explanation:
Find the factored form of this trinomial.
b2 - 11b - 12
Answers
Answer:
( b + 1 ) ( b - 12 )
Of the students on your class, 46% are left handed. What fraction of the student are left handed? *
Answers
Answer:
6/10
Step-by-step explanation:
= 46/100
= 23/50
GIVING 30 POINTS PLZ ANSWER
the number a is smaller than the number b by 1/5 of b. by what part of a is b bigger than a?
Answers
A is smaller by 1/5 of b
So if you add a and 1/5 of b you would have b:
a + 1/5b = b
Solving for a you have:
A = b - 1/5b = 4/5b
A = 4/5b
Solving for b divide both sides by 4/5:
B = 5/4a
Since 4/4 = 1, this means b I’d bigger than a by 1/4
The answer = 1/4
7 + 34.5x = 8 1/4
solve for x
Answers
Answer:
x=0.03623188
Step-by-step explanation:
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
(sorry if wrong please dont report)
The volume of a box, V(x), is represented by the function V(x) = x(40-2x)(24-2x), where x represents the width of the box.
What is the domain of V(x)?
A. all real numbers greater than 0
B. all real numbers greater than 0 and less than 12
C. all real numbers greater than 0 and less than 20
D. all real numbers greater than 0 and less than 24
E. all real numbers greater than 0 and less than 40
I gotta do this ASAP. Ty, for helping me if u do!
Answers
Answer:
the answer is
Step-by-step explanation:
A bag contains yellow and blue blocks in the ratio 1:3 There are 8 more blue blocks than yellow blocks. (a) How many yellow blocks are there? (b) How many blue blocks are there?
Answers
Answer:
Step-by-step explanation:
A bag contains yellow and blue blocks in the ratio 1:3
Sum of Proportion = 1 + 3 = 4
There are 8 more blue blocks than yellow blocks.
b = y + 8
y = b - 8
(a) How many yellow blocks are there?
For yellow block
= 1/4 × x = ( b - 8)
(b) How many blue blocks are there?
3/4 × x = ( y + 8)
Can someone help me find the answer
Answers
PLSSS HELP IMMEDIATELY!!!!! only help if u know the answer. i’ll be giving brainiest with the correct answer.
Answers
Answer:
sides: scalene (no sides are the same length)
angles: obtuse (an angle is over 90°)
The Willis Tower in Chicago is 1,451 ft tall. The Transamerica Pyramid in San Francisco is 10,236 in. tall.
How do these 2 towers compare?
Answers
Answer:
The Transamerica Pyramid in San Francisco is approximately 7 times as tall as The Willis Tower in Chicago.
Step-by-step explanation:
10236 ÷ 1451 = 7.054