Answer:
We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3
The surface area of Prism B is approximately 367.25 cm^2.
Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.
Let the scale factor between Prism A and Prism B be k. Then:
Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3
Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:
375 / 648 = (Side length of Prism A / Side length of Prism B)^3
Now, let's solve for the scale factor (k):
k^3 = 375 / 648
k^3 = 0.5787037037
k ≈ 0.825 (rounded to three decimal places)
Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:
(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2
Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:
Surface area of Prism B = Surface area of Prism A / (k^2)
Surface area of Prism B = 250 / (0.825^2)
Surface area of Prism B ≈ 250 / 0.680625
Surface area of Prism B ≈ 367.25 cm^2
Therefore, the surface area of Prism B is approximately 367.25 cm^2.
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50 POINTS FOR THE CORRECT ANSWER!
So
f(2)
f(1)-317-314f(3)
f(2)-314-311f(4)
f(3)-311-38is 90,000 mg greater than 90 kg
Answer:
No, 90 kg is more
Step-by-step explanation:
90 Kilograms is about 198 pounds while 90,000 milligrams is about 0.198 of a pound
Answer:
No 90kg is greater
Step-by-step explanation:
1000mg= 1 g
90,000/1000= 90
100g= 1 kg
90/100= 0.9kg
work out the next term of this quadratic sequence
6 9 15 24 _
Answer:
36
Step-by-step explanation:
Every next term is added by a multiple of 3
6 + 3 = 9
9 + ( 3 × 2 ) = 15
15 + ( 3 × 3 ) = 24
24 + ( 3 × 4 ) = 36
Answer:
36.
Step-by-step explanation:
The differenes in the terms are 3, 6, 9 so the next difference is 12.
24 + 12 = 36.
area of composite figuresssss
Answer:
Hope the picture will help you.
A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If he paid 8% sales tax on the sale price, how much did he pay in total?
Three $1 bills are equal to _____ cents.
Answer: 300 cents and/or pennies
Step-by-step explanation:
Jaxson bought a pair of sunglasses online for $71. He used a coupon code to get a 20% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answer:
$17.75
Step-by-step explanation:
$71-($71×20%)
$71-$14.2
=$56.8
after coupon code
$56.8-($56.8×5%)
=$56.8-$2.84
=$53.96 about .
then applied a 5% processing fee online.
10. A new car can be purchased with a choice of four exterior colors (A, B, C, and D) and three interior colors (1, 2, and 3). Make an organized list of all the possible color combinations for the car.
please help my homework is due tomorrow
Can y’all help with this? Thanks
Answers:
Exponential decay model is y = 500*0.88^x
There is roughly 0.0000000000237 mL of the original air left.
There are 10 zeros between the decimal point and the '2'
The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]
=============================================================
Further Explanation:
A general exponential equation is
y = a*b^x
We start with 500 mL of air which is the value of 'a'
If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%
Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.
-------------
Since a = 500 and b = 0.88, we have
y = a*b^x
y = 500*0.88^x
Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.
y = 500*0.88^x
y = 500*0.88^240
y = 0.0000000000237
This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.
Notes:
There are 10 zeros between the decimal point and the '2' in the number 0.0000000000237The number 0.0000000000237 is so small that it probably makes sense to use scientific notation to write [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex] meaning we move the decimal point 11 spots to the left to go from 2.37 back to 0.0000000000237The number 0.0000000000237 is read out as "237 ten-trillionths". Imagine splitting an object into ten trillion tiny pieces, and then shading 237 of those pieces to represent this decimal number.PLSS HELPP
I NEED TO FIND THE 2 SIDE LENGTHS
You are building a play pen for your pet pig. You know that you want one side to be 7 feet longer than 3 times the other
side. The area of the play pen that you want is 48 square feet. What are the dimensions of the play pen?
Check the picture below.
[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ w=3L+7\\ A=48 \end{cases}\implies 48=L(3L+7)\implies 48=3L^2+7L \\\\\\ 0=3L^2+7L-48\implies 0=(3L+16)(L-3) \\\\[-0.35em] ~\dotfill\\\\ 0=3L+16\implies -16=3L\implies -\cfrac{16}{3}=L \\\\[-0.35em] ~\dotfill\\\\ 0=L-3\implies 3=L~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ w=3L+7\implies w=3(3)+7\implies w=16[/tex]
notice, we didn't use the negative value of "L", because the length can't be negative.
pls help will give brainliest
i need this by 12
The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
⇒ ABCD is a parallelogram.
Now, We have complete table is,
Statements Reasons
1) AD || BC Definition of parallelogram.
2) ∠ADB ≅ ∠CBD Alternate interior angle theorem.
3) AB || CD Definition of parallelogram.
4) ∠ABD ≅ ∠CDB Alternate interior angle theorem.
5) DB ≅ DB Reflexive property of congruence.
6) ΔABD ≅ ΔCDB By SAS congruency theorem.
Thus, The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
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y = 2x -1, y = 3x + 5 solve
Answer:
the answer is x= -6 and y= -13
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Answer:
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
PLSSSS HELP
Choose ALL answers that describe the polygon.
Answer:
RSTU is a parallelogram, quadrilateral, rectangle, rhombus, and square. NOT trapezoid.
Step-by-step explanation:
The shape has four sides, so it's a quadrilateral.
It has four equal sides so its a rhombus.
It has four right angles so its a rectangle.
It has four equal sides AND right angles so its a square.
And if all the sides are parallel (well, two pairs of parallel sides) its a parallelogram.
how do I find the product of (5p+2)^2
Answer:
Hi mate
Step-by-step explanation:
Your question
[tex] {(5p + 2)}^{2} [/tex]
Applying identity we get
[tex] {5p}^{2} + 2(5p)(2) + {2}^{2} [/tex]
Now finding answer
[tex] {25p}^{2} + 20p + 4[/tex]
Thsi is answer
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Hi!
Given:
[tex](5p+2)^2[/tex]
The exponent of 2 shows we need to multiply it all by itself.
This is equal to:
[tex](5p+2)(5p+2)[/tex]
Use Distributive property and FOIL method:
[tex]25p^2+10p+10p+4[/tex]
Combine like terms:
[tex]25p^2+20p+4[/tex]
NOTE: if you are not familiar with the FOIL method, see the attached image below:
A beach volleyball court is 9 meters wide and 18 meters long. The rope used for the boundary line costs $1.67 per meter. How much would it cost to buy a new boundary line for the court?
Answer:
$90.18
Step-by-step explanation:
Since there are two long sides and two wide sides, you would double them. Add them together, and multiply by price
9 + 9 = 18
18 + 18 36
18 + 36 = 54
54 x 1.67 = 90.18
A.)12
B.) 25
C.)51
D.) 77
Answer:
4x+3=2x+27
4x-2x=27-3
2x=24
x=24/2
x=12
Answer:
51
Step-by-step explanation:
2x+27=4x+3
-3 -3
__________
2x+24=4x
___________
2
x+12=2x
-x -x
___________
12=x
now plug in/check answer
2(12)+27=4(12)+3
24+27=48+3
51=51
true
Help pleaseeeeeeee :)))))) and thank you!
Answer:
103
Step-by-step explanation:
103.3's 3 is closer to 0 than 5
What is the sum of 4 x 10-5 and 3 x 10-5 written in standard form
Answer:
7 * 10 to the power —5
Step-by-step explanation:
check out the attached photo.
Answer:
70x - 10
Step-by-step explanation:
Please help me with this please and thank you
Answer:
A
Step-by-step explanation:
it's a geometric sequence since it is continuously being multiplied by the same number which in this case is 2.
Answer:
A. 3, 6, 12, 24
Step-by-step explanation:
In A, you're multiplying by 2 each time.
Mr. Young is buying a house. He can spend no more than 29% of his income on monthly house payments If he earns $4,200 per month, what is the largest monthly house payment he can make?
Answer:
$1218
Step-by-step explanation:
Our info is that Mr. Young's monthly income is $4,200 per month. Now if we multiply this by .29 (the %29 percent he can spend) We get $1218
Help, what is the area of this figure? (Don’t write a big explanation!!, i really need this quick, a picture or just numbers u used is fine)
Answer:
146 m²
Area of triangle:
1/2 * base * height1/2 * 16 * 756 m²Area of upper rectangle:
Length * Width8 * 972 m²Area of bottom rectangle:
Length * Width6 * 318 m²Total area:
18 m² + 72 m² + 56 m²146 m²Answer:
146 m²
Step-by-step explanation:
Divide the figure into a triangle and 2 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)
= 1/2 x 16 x 7
= 56 m²
Rectangle 2
⇒ area = 3 x (6 + 9)
= 3 x 15
= 45 m²
Rectangle 3
⇒ area = 5 x 9
= 45 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3
= 56 + 45 + 45
= 146 m²
I need help asp pls!!!!
Answer:
y= -60x+ 200
Step-by-step explanation:
Given: Initial distance from Kingston = 200 miles
Distance from Kingston after 2 hours= 80 miles
Step 1:
The general model for linear equations is given as:
y= ax+ b
where
a= slope
b= y-intercept
Step 2:
The y-intercept represents the initial value: 200 miles from the Kingston
b= 200
Therefore,
y= ax+ 200
Step 3:
As the car gets closer to Kingston, the distance keeps decreasing.
The car having covered 80miles need to cover another 120 miles after 2 hours
Hence, the slope would be negative
Slope:
a= -120 miles/2 hours
a=-60
The model therefore is:
y= -60x+ 200
Final answer: Option (D)
The model is : y= -60x+ 200
5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5
Hey there!
y = 74 - 7
START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value
y = 67
Therefore, your answer is: y = 67
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.
Kim brought $39.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Kim had $4.00 left over after buying these items
Answer:
I can't get past hre, equations are attached tho
Step-by-step explanation:
Equations:
[tex]b + s + p = 35.75[/tex]
[tex]\frac{1}{4} b = s[/tex]
[tex]\frac{2}{3} s = p[/tex]
Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:
brush =$20.21,. sketchbook =$6.21 , paint set=$9.32
Step-by-step explanation:
let the cost of the brush=x
the cost of the sketchbook=y
the cost of the paint set= z
total money used= $39.75-$4.00
=$35.75
x= 14+y
but y=2/3z
x= 14+2/3z
14+2/3z +2/3z +z =35.75
3×14 +3×2/3z+3×2/3z×3z=3×35.75
42 +2z +2z +3z =107.25
7z=107.25-42
7z=65.25
z=65.25/7
z=$9.32
y=$2/3×9.32
y=$6.21
x=14+y
x=14+6.21
x=$20.21
ANSWER QUESTION BELOW CORRECTLY FOR BRAINLIEST
What is a square root?
Answer: the factor that we can multiply by itself to get that number
Step-by-step explanation:
For example, the square root of 4, is 2 because 2*2 is 4.
Answer:
the root of the number- by finding the square root you're finding the number you have to multiply by itself to get the number you were give
Step-by-step explanation:
ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.
- 25% of the students voted for the aquarium
- 120 students voted for the zoo
What is the total number of students at Beach Middle School?
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get 160
A campbell’s soup can is 6 inches tall and has a arduous of 2.5 inches how much paper is needed to make the label? How much room is there inside the can to hold the soup
Step-by-step explanation:
The label of the soup is the lateral area of the cylinder.
The formula for a cylinder is LA = ph.
The perimeter of a cylinder is the circumference of a circle, 2 times pi times r.
then multiply that answer by the height of 6.
The answer will be in square inches