Answer:
Step-by-step explanation:
Width: x
Length: x + 3
Height: x + 3 + 4 = x + 7
Volume of prism = area of cross section x length
Area of cross section = width x height = x ( x + 7 ) = x² + 7x
Volume = (x + 4) x (x² + 7x)
= x³ + 7x² + 4x² + 28x
= x³ + 11x² + 28x
The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].
What is volume?Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.
How to calculate volume?We know that volume of rectangular prism is L*B*H.
We have been given that width is x cm.
According to question length will be x+3,
Height will be x+3+4
=x+7
Volume will be =x(x+3)(x+7)
Multiply the expressions,
=x([tex]x^{2}[/tex]+3x+7x+21)
=x([tex]x^{2}[/tex]+10x+21)
=[tex]x^{3} +10x^{2} +21x[/tex]
Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].
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Find the LARGEST of three consecutive numbers if their sum is 105
Answer:
36
Step-by-step explanation:
devide 105 by 3 then add one 34+35+36=105
Answer:
It's 37 because the three are 33, 35, and 37. 37 is the largest of all of them.
Step-by-step explanation:
105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.
helppp
What is the equation of the line that passes through the point (-4,4) and has a
slope of 3/4 ?
Answer:
y = 3/4x + 7
Step-by-step explanation:
Put it in point-slope form:
y - 4 = 3/4(x - -4)
y - 4 = 3/4(x + 4)
y - 4 =3/4x + 3
y = 3/4x + 7
I need helppp I’m stuck
I really need help please!
As we know that angle of semi circle is 180°.
Here,
FLG = 40°
GLH = ?
HLJ = 60°
FLG + GLH + HLG = 180°
40° + GLH + 60° = 180°
GLH + 100° = 180°
GLH = 180° - 100°
GLH = 80°
Now,
FLH = 40° + 80° = 120°
[tex] \sf \: Length \: of \: an \: arc \: of \: GHF = \dfrac{ \theta}{360} \times 2 \pi \: r[/tex]
[tex] = \dfrac {120}{360} \times 2 \times \dfrac{22}{7} \times r[/tex]
[tex] = \frac{1}{3} \times \frac{44}{7} \times r[/tex]
[tex] = \frac{44}{21} \times r[/tex]
[tex] = 2.09r[/tex]
What is the value of c ?
Answer:
34
Step-by-step explanation:
:)
Answer:
34
Step-by-step explanation:
Remember that the sum of the angles of a triangle is 180
And since two sides are congruent b = 73
So 180-(73+73) = 34
Find the probability of drawing a Club 2 through 6 on the first draw, replacing it and
drawing a black card on the second draw.
Answer:
= 0.0471 or 4.71%
Step-by-step explanation:
(5/52) x (25/51)
= 0.04713423831
What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11.6 units3 45.4 units3 57.0 units3 68.6 units3
Answer:
45.44units^3
Step-by-step explanation:
Volume of the shaded part = Volume of the triangular based prism - Volume of square based prism
Volume of prism = Base area * Height
Volume of the triangular based prism = (5 * 4 * 5.7)/2
Volume of the triangular based prism = 57units^3
Volume of square based prism = 1.7* 1.7 * 4
Volume of square based prism = 11.56units^3
Taking the difference
Volume of the shaded solid = 57 - 11.56
Volume of the shaded solid = 45.44units^3
Answer:
B
Step-by-step explanation:
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?
Answer:
En 2001 el pueblo poseía 45.826 habitantes.
Step-by-step explanation:
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:
13.578*1,5= 20.367
Por lo que en 1988 el pueblo poseía 20.367 habitantes.
En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:
20.367* 2,25= 45.825,75≅ 45.826
Por lo que en 2001 el pueblo poseía 45.826 habitantes.
Help me out , I’ll appreciate it !
Answer:
(a) Infinite
(b) 6 (because a to z contains 26 letters so we can only take 26 letters or less otherwise the letter can be repeated so we have to take the num which is coming in table of 4 so 24then we can make 6passwords)
THANK you
If you helped with my answer pls tag me brianliest....
Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?
Answer:
Number of miles= 13
Step-by-step explanation:
Giving the following information:
He is receiving total contributions of $65 plus $20 for every mile he walks.
To calculate the number of miles to reach $325, we need to use the following formula:
Total collection= fixed contribution + variable contribution per mile*number of miles
325= 65 + 20*number of miles
260/20 = number of miles
number of miles= 13
Select all statements that show correct reasoning for finding `12\div\frac{3}{5}`. Multiply 12 by 5, then multiply by $$ Multiply 12 by 3, then divide by 5. Multiply 12 by 1/5 then multiply by 3. Multiply 12 by 5, then divide by 3.
Given:
The expression is:
[tex]12\div \dfrac{3}{5}[/tex]
To find:
The correct statement for solution of the given expression.
Solution:
We have,
[tex]12\div \dfrac{3}{5}[/tex]
If a number is divided by a fraction, then we need to multiply the reciprocal of the fraction with the number.
It can be written as
[tex]12\div \dfrac{3}{5}=12\times \dfrac{5}{3}[/tex]
[tex]12\div \dfrac{3}{5}=\dfrac{12\times 5}{3}[/tex]
[tex]12\div \dfrac{3}{5}=\dfrac{60}{3}[/tex]
[tex]12\div \dfrac{3}{5}=20[/tex]
To simplify the given expression, we need to multiply 12 by 5, then divide by 3.
Therefore, the correct option is D.
12 = x +24/8
I really need help with this
Answer:
x = 9
Step-by-step explanation:
24 divided by 8 is equal to 3.
12 = x + 3 (subtract three from both sides)
9 = x
Q7: Subtract
(a) -6x – 3 from 2x – 5,
(b) 6x – y + 5z from 10x – 2y + z,
(c) 8p + 99 – 5rs from 4p – 49 + 15sr,
(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.
Help me please I don’t have a lot of time please.
can u help me with this
Answer:
245 degrees
Step-by-step explanation:
The circle is 360 degrees and you have only found 55 and 60 you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.
Answer:
120 degree
Step-by-step explanation:
jn-60 vwrtical oopsite angle
nk 180
jk 180-60
At an ice cream social, 56 people ordered chocolate ice cream while 32 people ordered vanilla
ice cream.
(a) What is the ratio of the number of people
who ordered chocolate to the number of
people who ordered vanilla in simplest
terms?
(b) At a different event, 42 people bought
chocolate and 30 bought vanilla. Does
this event have the same
chocolate to vanilla purchases as the ice
cream social from (a)? Justify.
ratio of
What are the coordinates of each point after quadrilateral EFGH is translated 3 units right and 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is translated a units right and b units down, the new location of the point is at A'(x + a, y - b)
The location of the vertices of quadrilateral EFGH is E(-5, -1), F(-4, -3), G(-2, -3) and H(-1, -1). If quadrilateral EFGH is translated 3 units right and 2 units down, the new location would be:
E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).
Work out
55
% of
2900
A square mat has an area of 324 square inches. What is the length of the mat?
Help please
Find the value of x when y=0. x + 4 = y
Answer: x = -4
Step-by-step explanation:
-4 + 4 = 0
if y = 0 then X will be -4
Answer:
hello
Step-by-step explanation:
answer is x=-4
because if we add
4-4=0
x+4=0
-4+4=0
Please help
If 100% = Rs. 120, then
A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84
Answer:
Simple: C. 70% = Rs. 84
Step-by-step explanation:
cause it can't be 120% if Rs.120 is the 100%
How do I Solve for x.
4x^2-64=0
Answer:
Step-by-step explanation:
.
4
2
Answer:
x = 4, -4
Step-by-step explanation:
You can do this by simply pressing the calculator OR by simplify
4x^2 - 64 = 0
(2x)^2 - 8^2 = 0
(2x - 8)(2x + 8) = 0
∴ 2x - 8 = 0 or 2x + 8 = 0
x = 4 or x = -4
Anyone know the answer to this
Answer:
The answer is B
Step-by-step explanation:
3/4
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The average number of people who attended football games at a stadium increased from 8000 people in the year 2005 to 12500 people in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?
Answer: 43.75%
Step-by-step explanation:
The percentage change is given by:
= [Final value - initial value / Initial value] x 100
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The average number of people in 2005 = 8000.
The average number of people in 2012 = 12500.
The change in the average number of people from 2005 to 2012.
= 12500 - 8000
= 4500
The percentage change in the average number of people at the games from 2005 to 2012.
= [Change in the average number of people / Average number of people in 2005] x 100
= (4500 / 8000) x 100
= 450/8
= 56.25%
Thus,
The percentage increase in the average number of people from 2005 to 2012 is 56.25%.
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Compare. Fill in the blank using <,>,or =
16. -2/3_____-1
17. -1 3/4_____1 5/6
18. -2/7______0
{4x − 3y = −32x + 6y = −4 Solve the system of equations.
Input your answer as a point.
Otherwise, enter "No solution" or "Infinite number of solutions.
Answer:
Sorry I don't know that one
30 = 6y
A)y= 5
B)y = 6
C)y = 180
D)y = 10
Answer:
A) y = 5
Step-by-step explanation:
30 / 6 = 5
y = 5
Hope this helps! Have a nice day! Plz mark as brainliest!!!
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*ANSWER ASAP* Earth has a diameter of approximately 7926 miles. Determine the volume of Earth.
Answer:
Rounding to the nearest whole number, 49 moons can fit in the earth.
Rounding to the tenth place, 50 moons can fit in the earth.
Step-by-step explanation:
To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.
V = 4/3 π r^3
Earth:
d = 2r
d = 7926 miles
7926 = 2r
3963 miles = r
V = 4/3 π (3963)^3
V = 4/3 π (62240377347)
V = 82987169796π cubic miles
Moon:
d = 2r
d = 2159 miles
2159 = 2r
1079.5 miles = r
V = 4/3 π (1079.5)^3
V = 4/3 π (1257963209.88)
V = 1677284279.83π cubic miles
Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth
82987169796π ÷ 1677284279.83π =
approx 49
4). A coin is tossed and a number cube is rolled. Find the probability, p(heads and 7)
The points (4, -6) and (r, 6) lie on a line with slope 3. Find the missing coordinate r.
Answer:
r = 8
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)
m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then
[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))
12 = 3(r - 4) ← divide both sides by 3
4 = r - 4 ( add 4 to both sides )
8 = r