The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +
Answers
Answer:
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Given :
Volume of rectangular prism
Base Area of a rectangular prism =
---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Step-by-step explanation:
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h
Divide both sides by (x³ + 3x²+8)
h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)
h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)
h=(x+1) - 4//(x³ + 3x²+8)
Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ7
Related Questions
A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?
Answers
Answer:
19.1 feet
Step-by-step explanation:
This forms a right triangle
use the pythagorean theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 20^2
a^2 + 36 = 400
a^2 = 364
a = 19.0787840283
Rounded
19.1 feet
Solve the equation. Enter your answer in the box. V27
Answers
step by step explanation: when it has the little 3, it means what number would need to be divided by itself to equal the number
hope this helps
The electricity bill of Sarah’s house for the last month was $60, while for this month it is $120. If p is the percent increase in the amount, which proportion can be used to calculate p?
Answers
Answer:
100% increase
Step-by-step explanation:
The equation is, as we see (120-60)/60=x/100. If we multiply the whole equation by 100, we get (120-60)/60*100=x. We simplify to get a 100% increase.
y= -8/9 (x+1)+6
convert to standard form
Answers
Answer:
mm
kl l
Step-by-step explanation:
How many sides does a regular polygon have if each interior angle measures 176^{\circ}
∘
Answers
Answer:
90 sidesStep-by-step explanation:
There is a relationship between number of sides and interior angle measure of regular polygons:
S = 180(n - 2), where S- sum of interior angles, n - number of sidesWe have now:
176n = 180(n - 2)176n = 180n - 3604n = 360n = 90It's equilateral polygon
Sum of interior angles=176n.n is no of sides
[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]
[tex]\\ \sf\longmapsto 180n-360=176n[/tex]
[tex]\\ \sf\longmapsto 180n-176n=360[/tex]
[tex]\\ \sf\longmapsto 4n=360[/tex]
[tex]\\ \sf\longmapsto n=4[/tex]
Is -2g/4h a monomial number
Answers
Yes, because it only has a single expression, although the division sign might not count….
if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn
Answers
30 mins x 14=420 mins
420 mins in hours =7 hours
Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour?
Answers
Answer:
$16.50
Step-by-step explanation:
Geometry- Copy and complete the statement.
Answers
Answer:
X+y over y
Step-by-step explanation:
X+y over y
Hope it helps
2x - 3y = -24 solve for y
x + 6y = 18 solve for x when y= 2
I need the answer
Answers
01.
2x-3y=-24
-3y=-2x-24
3y=2x+24
y=(2x+24)/3
02.
x+(6*2)=18
x=18-12
x=6
Answer: y = 2/ 3 x+8, and x = 6
Step-by-step explanation: 2x−3y+−2x=−24+−2x −3y /−3 = −2x−24 /−3 y = 2/ 3 x+8 x+(6)(2) = 18 x+12+(-12) = 18+-12 x = 6
please help i dont understand this!
Answers
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Step-by-step explanation:
The top line is the payment amount.
The bottom line is the 2% fee.
Let's do the middle columns first.
For any payment amount, the fee is 2%.
To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.
2% as a decimal is 0.02
To find 2% of a number, multiply 0.02 by the number.
The second column has payment amount of $23.50
We need to find 2% of $23.50
2% of $23.50 = 0.02 × $23.50 = $0.47
The third column has payment amount of $64.00
We need to find 2% of $64.00
2% of $64.00 = 0.02 × $64.00 = $1.28
Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.
Let the amount be x.
The fee is 2% of x, so the fee is
0.02x
We set the expression equal to the actual fee and solve for x.
The first column has a fee of $0.25
0.02x = $0.25
x = $0.25/0.02
x = $12.50
The 4th column has a fee of $1.64
0.02x = $1.64
x = $1.64/0.02
x = $82
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo
Answers
Answer: O AAS Congruence Theorem is your answer
Step-by-step explanation: plz give brainliest
1) A butcher has an annual income of $58,612. The income tax the butcher has to pay is 7%. What is the amount of income tax in dollar and cents the butcher has to pay? A) $3,108.53 B) $3,712.66 C) $4,102.84 D) $4,364.79
Answers
Answer:
C. $4,102.84
The amount of income tax in dollars and cents the butcher has to pay if A butcher has an annual income of $58,612 is $4102.84 so, option C is correct.
What is the percentage?The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
A butcher has an annual income of $58,612,
The tax = 7%,
Calculate the amount of the tax as shown below,
The amount of the tax = 7% of $58,612
The amount of the tax = 7 / 100 × 58612
The amount of the tax = 0.07 × 58612
The amount of the tax = 4102.84
Thus, the amount of tax is $4102.84.
To know more about percentages:
brainly.com/question/20818421
#SPJ6
A loan of $ 8000 was repaid in 24 equal monthly instalments of $400. The rate of interest on the loan was
Answers
Answer:
if im right 1600? i did it in my head so im not 100 percent sure
Step-by-step explanation:
23 students are making smiley faces from macaroni noodles. The teacher got a box of macaroni’s that has 276
noodles in it. She plans to split the box up evenly amongst the students. How many noodles will each student
have to make their smiley face?
Answers
Answer:
12 noodles
Step-by-step explanation:
If each child is given x amount of noodles, and there are 276 noodles to split among 23 students, set up the equation as seen below:
276÷23=12
276 noodles divided by 23 children = 12 noodles per child.
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
Step-by-step explanation:
the scaling factor from 15 to 45 is 3.
we need to shoot the same to the width :
14.5 × 3 = 43.5 cm
Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answers
Answer:
24,880
Step-by-step explanation:
A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:
A= 11,000e(0.048x17) = 24,875.80
round and you get 24,880
i hope this helps
if angle a = x+33 and angle d = 2x what is angle a
Answers
The answer must be standard
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Two thousand four hundred sixty-three tickets were sold for a 2-day basketball
tournament. For the first day of the tournament, 1,087 tickets were sold. How many
tickets were sold on the second day of the tournament?
Answers
Answer:
Step-by-step explanation:
1376!
Answer:
yeah it's 1367
Step-by-step explanation:
I did the math!!!!
Use the slope formula and state what is the slope of a line with the following two points: (-2, 7) and (8, -9)?
Answers
Answer:
m = -8/5
Step-by-step explanation:
[tex]m=\frac{-9-7}{8-(-2)} =\frac{-16}{10} =-\frac{8}{5}[/tex]
Hope this helps
plz answer this question if you know it
Answers
Answer:
Step-by-step explanation:
You're required to basically scale the figure down. Angles will remain the same, horizontal lines will remain horizontal, but lengths will be 1/3 of the original. In particular the length DC will be only 1 square, bringing C' only one to the right of D. The distance DB will also shrink from 6 to two squares, below D. Finally, the point A' will be on the line AD, on the horizontal containing B'.
easy one - giving brainly if correct - show work.
Answers
Answer:
51,000
Step-by-step explanation:
50,000
20% raise is
50,000 + 50,000 * 20/100
= 50,000 + 10,000
= 60,000
15% tax is
60,000 * 15/100
= 9000
so total money is 60000 - 9000
= 51000
3/10y - 2/5 i need to find the coefficient and i dont know how
Answers
[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]
Given the following graph what is the slope?
Answers
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]
What are the slope and the y-intercept of the linear function that is represented by the graph?
Answers
Answer:
Slope = -3/4
Y-intercept = (0, 3)
Step-by-step explanation:
Rise/Run
-3 Rise and 4 Run
Meets y-axis at y=3. x=0, so (0, 3).
Answer:
y intercept is 3 and the slope is -3/4
Step-by-step explanation:
the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4
If you use front-end estimation, which is the best choice for 102.3 divided by 23.8?
o A. 3
o B. 4
o C. 5
o D. 6
Answers
Answer: Answer is B
Step-by-step explanation:
102.3 divided by 23.8 = 4.30 = 4
Simplify the following expression.
77.63 + 8.6
A.
78.49
B.
16.363
C.
163.63
D.
86.23
Answers
Answer:
D
Step-by-step explanation:
77.63
+08.60
=86.23
Remember to line up the decimals.
Hope this helps!
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answers
Answer:
0.5cups / [tex]\frac{1}{2}[/tex] a cup
Step-by-step explanation:
Find the lateral surface area and total surface area of each figure. Only 12 and 13
Answers
Solution: 1x 5
Answer accended: 55