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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A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 6 inches and a height of 4 inches. How much wax will the company need to make 140 candles?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answer:
The company will need 3,360 inches of wax
Step-by-step explanation:
To find how much wax you need per one candle you would do 6in.X4in. which gives you 24in. of wax. Then to find the amount of was for 140 candles you would do 140X24in. to get 3,360 inches of wax.
bryan is a salesman in a buy and sell who earns 3 1/2% commission on every item he sell. if he sold a total of 150,000 how much is his commision
with solution please
Answer:
If commission is 31/2 percent check first image else go through second picture
Translate this phrase into an algebraic expression.
One less than the product of 18 and a number
Use the variable n to represent the unknown number.
one less than the 18 and a number
18 × n = (product) - 1
1/2+3/4+4/5 how to solve it please help me i'm waiting
Answer:
41/20
Step-by-step explanation:
or 2 1/20
kate has a coin collection. she keeps 7 of the coins in the box, which is only 5% of her entire collection. what is the total number of coins in kate's coin collection?
Answer:
140
Step-by-step explanation:
5 percent is 5% or 5 out of 100
5 / 100 = 7 / x
Cross multiply to get
5x = 700
Divide both sides by 5
x = 140
The cost of a flat of strawberries to a grocery store is $7.60 and the store marks the strawberries
up 125%. Find the selling price
Answer:
7.60+9.50 = 17.10
Step-by-step explanation:
7.60 * 125% = 9.50
9.50+7.60 = 17.10
Please answer this question.
Answer:
B
Step-by-step explanation:
given that x and y vary inversely then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the condition y is 24 when x is 8 , then
24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )
192 = k
y = [tex]\frac{192}{x}[/tex] ← equation of variation
when y = 18 , then
18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )
18x = 192 ( divide both sides by 18 )
x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]
Answer:
Step-by-step explanation:
Write the inverse variation
y = k/x
Solve for k
y = 24
x = 8
y = k/x Substitute the givens into this equation
24 = k/8 Multiply both sides by 8
8*24 = k
k = 192
Solve for x when y = 18
y = k/x Multiply both sides by x
xy = k Divide by y
x = k/y
x = 192/18
x = 10 2/3 The answer is given as an improper fraction.
x = (10*3 + 2)/3
Answer: x = 32/3
Larinda cooked a 4-kilogram the roast leftover after the meat weighed 3 kilograms how many grams of roast were eaten during that meal
4 (originally) - 3 (leftover) = 1 KG (eaten)
1* ( 1000) = 1000g
(there is 1000g in 1 KG)
She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?
Answer:
So, there are seven choices, etc, so the equation is
7x6x7x2
because there are multiple ways
so, 588
What is the formula for area of a triangle?
Answer:
bh/2
Meaning :
base times height, halfed
Answer:
Step-by-step explanation:
A = hb/2 or 1/2×hb
Where h is the vertical height and b is the base length.
Awnser ASAP please
Tom buys a condominium for $42,600. He makes a down payment of 15%, and pays these closing costs: survey $225; inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286. What is the amount of the down payment? What are the total closing costs? How much will he need to bring to the closing (down payment + closing costs)?
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?
The Roger’s applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history, they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the 7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and what do they save over the life of the loan?
Answer:
I got you with Question 3 and 4 my guy.
3) He would need 12 and it would cost 50k
4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27
The Tom will need to bring to the closing $54,341.27
He would need 12 and it would cost 50k.
We have given that,
Tom buys a condominium for $42,600.
He makes a down payment of 15% and pays these closing costs to survey $225.
What is the meaning of a down payment?
The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.
Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286
9% payments: $563.24
7% payments: $494.75.
Monthly savings: $69.49
9% total repaid: $2022,764.90
7% total repaid: $148,423.63
Savings: $54,341.27
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help! p(x) = 4x^4 - 10x^3 + 8x - 1
x = 8
Answer:
p(8) = 11,327
Step-by-step explanation:
Hey there!
In order to find the answer, all we need to do is subtitute the x values for 8
After substituting, the equation will look like this:
[tex]p(8)=4(8)^4-10(8)^3+8(8)-1[/tex]
Now we simplify
8 to the power of four is 4096 and when you multiply that by 4, you get 16384
8 to the power of 3 is 512 and when you multiply that by -10, you get -5120
8 times 8 is 64
And then there is -1
Now all we have to do is combine all the answers together for one final answer
16384-5120+64-1 is equal to 11327
So the output of this function when you input 8 is 11,327
What do we do to both sides of this equation to solve?
x−10=8
Question 2 options:
Subtract 10 from both sides
Add 10 to both sides
Multiply both sides by 10
Divide both sides by 10
Add 10 to both sides
Step-by-step explanation:
x-10 = 8
x - 10 + 10 = 8+ 10
x = 18
Step-by-step explanation:
Add 10 to both sides
or,x-10+10=8+10
or,x=18
F(x)=x^2. What is g(x)? point given (2,1)
A. g(x)= 4x^2
B. g(x)=1/4x^2
C. g(x)=(1/4x)^2
D. g(x)=1/2x^2
At x=2
f(2)=2²=4And
g(2)=1So the function is
g(x)=1/4f(x)g(x)=1/4x²
Find the value of x
A. 8
B. 4
C. 19
D. 2
2x+35=5x-22
2x-5x=-22-35
-3x=-57
3x=57
x=57/3
x=19
What is the decimal for 4/100?
What is the Answer
Answer:
0.04
Step-by-step explanation:
Have a nice day!
Simply just take 4 divided by 100 -> 4 : 100 = 0.04
Find the volume of the sphere in terms of π.
A) 972 π cm3
B) 7776 π cm3
C) 36 π cm3
D) 24 π cm3
Answer:
A) 972π cm³
Step-by-step explanation:
d = 18 cm
r = d/2 = 9 cm
V = (4/3)πr³
V = (4/3)π(9 cm)³
V = (4/3)π(729 cm³)
V = 972π cm³
Line a passes through the points (-2,1) and (1,-1). Line b passes through the points (-3,2) and (-1,0). DO lines a and b intersect? Explain.
Answer:
You can draw a graph.
(-3,2) |
(-2,1) |
___.__(-1,0)__ | __.____.___
| (1,-1)
|
|
As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.
Hope this helps!
Which inequality has the graph shown below?
Answer:
Its A.
Step-by-step explanation:
Here is the graph for A
Please help with my homework. I will give a brainlist out. Only solve 30 please.
Let's solve
[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]
[tex]\\ \rm\Rrightarrow 9C=165[/tex]
[tex]\\ \rm\Rrightarrow C=165/9[/tex]
[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]
I don’t understand this subject at all if you wold answer that would be a big help
Answer:
d is about 8.6 feet.
Step-by-step explanation:
We have similar triangles, so we can set up and then solve this proportion:
[tex] \frac{d}{10} = \frac{6}{7} [/tex]
[tex]7d = 60[/tex]
[tex]d = 8.6[/tex]
Which is an equation of the line that passes through the points (5, 2) and (10, -3)? HELP
Answer:
y = − x + 7
Step-by-step explanation:
let D be the line that passes through the points (5, 2) and (10, -3)
Then D has an equation of the form D: y = mx + p
Now we need to find m and p in order to be able to write the equation of the line D:
[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]
Since the point (5 , 2) lies on the line D then :
2 = -1 × (5) + p
then
2 = -5 + p
then
p = 2 + 5
= 7
then
p = 7
Conclusion:
Since m = -1 and p = 7
then
[tex]D : y = -x + 7[/tex]
Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!
Answer:
[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9
Step-by-step explanation:
Use distance formula:
(-3-4)^2 + (8-1)^2 all under square root.
49 + 49
[tex]\sqrt{98\\[/tex]
Which simplifies to 7[tex]\sqrt{2\\}[/tex]
Hope this helps,
Feel free to mark this brainliest! :)
the answer is 5.099 rounded too 5.1
Mike argues the following side lengths can make a triangle. Sam says he is incorrect. Who is correct and why? 3m, 5m, 10m
Answer:
Sam is correct
Step-by-step explanation:
The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.
Hope this Helps.
Answer:
Mike is correct
Step-by-step explanation:
because it has three different side
The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality
Answer:
k = 220
Step-by-step explanation:
Proportion of y and x
y = kxGiven :
y = 55x = 1/4Solving :
55 = k/4k = 55 x 4k = 220Because the points have the same x-coordinate, the distance between the two points is a vertical distance. The distance from the ordered pair (−4,−3) to the x-axis is the absolute val
ue of it's y-coordinate. What is the absolute value of the y-coordinate in the ordered pair (−4,−3)?
Answer:
3
Step-by-step explanation:
The distance from a point to the x axis is the absolute value of its y-coordinate as it mentioned in the problem.
So take the y-coordinate, -3, and find the absolute value by making the number positive. Absolute values are always positive.
please need help on = 0.35+0.6+____= 1
Answer:
0.59
Step-by-step explanation:
Find the solutions to x2 = 12.
The answer is B~ c=+2{3}
Answer:
B
Step-by-step explanation:
x² = 12 ( take square root of both sides )
x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]
help?
Alyssa is getting gas for her car. Her car’s 15-gallon tank has 1/5 a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer:
$32.39
Step-by-step explanation:
She has a 15-gallon tank and it has 1/5 a tank of gas left (so about 3/15)
Because she needs to refill it and already has 1/5, she'll only need to pay for 4/5 a tank of gas (12/15).
So the equation should be 12 times $2.699.
12 × 2.699 = 32.388
Then, round to the nearest cent.
32.388 = $32.39
Hope this helped !
Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answer:
120° and 80°
Step-by-step explanation:
quadrilateral = 360°
125° + 35° = 160°
360° - 160° = 200°
3/5 of 200° = 120°
200° - 120° = 80°
Answer:
Step-by-step explanation:
Finding the missing angles of quadrilateral:
Ratio of other two angles = 3 : 5
Other two angles are 3x , 5x
Sum of all angles of quadrilateral = 360
125 + 35 + 3x + 5x = 360
Combine like terms
160 + 8x = 360
Subtract 160 from both sides
8x = 360 - 160
8x = 200
Divide both sides by 8 to isolate x
x = 200/8
x = 25
5x = 5*25 = 125
3x = 3*25 = 75
The other two angles are 125° , 75°
