Answer:
The capacity of the cistern is [tex]1.2231~m^3[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Step-by-step explanation:
Volume
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
[tex]V_i=1.325*1.055*0.875[/tex]
[tex]V_i=1.2231~m^3[/tex]
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]
[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
pls help me its also easy
Answer:
C
Step-by-step explanation:
Ferdinand's equipment is higher than Rachel's equipment.
Indicate whether the following statements are True or False. Select your answer by using the drop down menus. A. The distance between -7 and 9 on a number line is 16. Choose... B. The distance between 8 and -3 on a number line is 11. Choose... C. The distance between -5 and 15 on a number line is 10. Choose... - D. The distance between 12 and -2 on a number line is 14. Choose... -
What is the answers to all of them true or false.
Answer:
a:t
b:t
c:t
d:t
Step-by-step explanation:
What is the zero of the equation -4x -12y = 32?
PLEASE HELP!!!!
Answer:
x = - 8
Step-by-step explanation:
To find the zero, let y = 0 in the equation and solve for x
- 4x - 12(0) = 32 , that is
- 4x = 32 ( divide both sides by - 4 )
x = - 8
Please help!
Which shows the greatest common factor of these numbers being 14?
A.
28 = 2 x 2 x 7
63 = 3 x 3 x 7
B.
28 = 2 x 2 x 7
42 = 2 x 3 x 7
C.
42 = 2 x 3 x 7
84 = 2 x 2 x 3 x 7
D.
42 = 2 x 3 x 7
63 = 3 x 3 x 7
Answer:
B. 28 = 2 x 2 x 7
42 = 2 x 3 x 7
Step-by-step explanation:
B is the correct answer. If you look at the list in answer choice B, you will see that each number has a common factor of 2 and 7. When you multiply 2 and 7 together, you get a product of 14.
Answer:
B !
Step-by-step explanation:
Anyone know the answer?
Answer:
skewed right
Step-by-step explanation:
It is skewed to the right. There are 6 entries for 11. No other number comes close to the amount. 12 has 1 entry and 13 is the end of the graph. This definitely favors the right hand side.
B is the midpoint of AC, D is the midpoint of CE, and AE = 21.
Find BD. The diagram is not to scale.
Please help
Geometry
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]
The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.
What is a triangle?A closed shape with both inner and exterior angles, a triangular is created by three lines. the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side.
The value of AE is given as 21.
From the diagram that is given, it is indicated that according to the midpoint theorem
BD║AE
Also, BD= 1/2 ×AE
BD = 21/2
BD = 10.5 cm.
Therefore, option D is the correct option.
Learn more about triangles, Here:
https://brainly.com/question/2773823
#SPJ2
The question is incomplete, the complete question will be :
A. 42
B. 21
C. 11.5
D. 10.5
9^(x + 2) = 27
Can someone help solve
Answer:
x=-.5
Step-by-step explanation:
Use the bar diagram to write an equation. Then solve.
4x +
x =
x =
x =
please help! i only got 9 minutes left!!
Answer:
D) -5/2
Step-by-step explanation:
(0, 5) (8, -15)
-15 - 5 = -20
8 - 0 = 8
-20/8 = -5/2
need help on this too
Answer:
I am pretty sure it’s either the first one or the last one
Step-by-step explanation:
is line b: y=3x-8 parallel or perpendicular line
Answer:
parallel i believe
Step-by-step explanation:
Can someone please help me I added the a screenshot of the question below
Answers:
Change in y (Delta y)= -15, Change in x (Delta x)= 1, Average rate of change = -15
Step-by-step explanation:
This is just simply finding the slope of the selected area.
Rise is -15, Run is 1, therefore the slope is -15/1=-15
how do i do rotations
how do i find the slope of a line graph
Answer:
rise over run
Step-by-step explanation:
you count the y axis from one point on a line to another then you count the x axis from the same two points and turn this into a fraction of y over x
y/x this is the slope
Please help me with this question
pls, I really need help
How much does air weigh ?
1 cubic foot of air at standard temperature and pressure assuming average composition weighs approximately 0.0807 lbs. This one doesn't have an answer that is exact or necessarily correct as air is a composite mixture of various gases and this mixture can change due to an enormous quantity of variables.
Answer:
Well it depends on how much air
Step-by-step explanation:
All the air we have in our atmosphere combined is about 5 million billion tons
What is the domain and range please?
9514 1404 393
Answer:
domain: {3, 5, 7, 11, 13, 15}
range: {-18, -2, 0, 8, 14}
yes, it is a function
Step-by-step explanation:
The domain is the list of numbers in the x column: {3, 5, 7, 11, 13, 15}.
The range is the list of numbers in the y column. Usually duplicates are removed. It is often useful to order the numbers, but is not strictly necessary. The range is {-18, -2, 0, 8, 14}.
No x-value is repeated, so the relation IS A FUNCTION.
I need help please anyone can help me !!!!
Answer:
5.15
Step-by-step explanation:
I hope this helps have a great day
• With money, you often round to the nearest dollar.
• If the number of cents is 50¢ or more, round up.
$0.00
$0.50
$1.00
• If the number of cents less than 50¢, round down.
$7.35 rounded to the nearest dollar is $7.00.
$24.86 rounded to the nearest dollar is $25.00.
6. Round to the nearest dollar.
a) $5.48
b) $2.97
c) $0.85
f) $14.98
d) $9.99
e) $1.29
+
a) $5.48 = $5.00
b) $2.97 = $3.00
c) $0.85 = $1.00
f) $14.98 = $15.00
d) $9.99 = $10.00
e) $1.29 = $1.00
Jack drove 41 1/2 miles. He used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon ?
Answer:
How do I have the same problem as a high schooler when im in 6th grade
Step-by-step ex
jsn=55
a cube of wood exerts a pressure of a 2pa when it is placed on a floor . What is the force exerted by the cube of its surface area is 5m square?
Answer:
the force exerted is 10 newton
48 = -6a, a =
pls help hfjdjf
Answer:
a=-8
Step-by-step explanation:
Find the equation that passes through points A and B
Answer:
Step-by-step explanation:
A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2
Equation of a line AB is
((y-y1) = m(x-x1)
y - 7 = 2(x-1)
y - 7 = 2x-2
y = 2x + 5
Answer:
y = 2x +5
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The image provides two points A(1,7) and B(-3,-1), thus the slope is:
[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]
[tex]\displaystyle m=\frac{-8}{-4}[/tex]
m = 2
Now we apply the point-slope form taking the point (1,7):
y - 7 = 2 ( x - 1 )
Operating:
y - 7 = 2x - 2
Adding 7:
y = 2x +5
Which of the following tables can be generated from the equation y = 2x + 1?
a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9
...
Answer:
Step-by-step explanation:
the tables can be gererated by placing the x and y values on the equation
Answer:
I believe the answer is B but not for sure
Step-by-step explanation:
Can 39, 15, and 36 form a right triangle?
Answer: yes but... i might be wrong so i think no cause i had a question like this and it was no
Step-by-step explanation:
A group of randomly selected Clyde Marketing employees were asked what their most common form of transportation is. The bar graph below shows the results of the survey. There are 275275275 employees at Clyde Marketing.
Answer:
88 would be the answer maybe.....
Answer:
88
Step-by-step explanation:
Paula bought a ski jacket on a sale for $7 less then half its original price. She paid $87 for the jacket. What was the original price?
Answer:
$188
Step-by-step explanation:
first you would do 87 + 7 which is 94
then multiply it by 2 which is 188
hope this helps :)
Answer:
The original price of the jacket was $188
Step-by-step explanation:
1/2x - 7 = 87
+7 +7
1/2x = 94
x2 x2
x = 188
One electrician charges a $50 service call fee plus $25 per hour for labor. Another electrician charges a $35 service call fee plus $27.50 per
hour for labor. How long would a job take if the total cost for each electrician is the same?
A.5 hours
B.6hours
C.7 hours
D.8 hours
Answer:
c. 6 hour
Step-by-step explanation:
time = t
25t + 50 = 27.50t + 35
solve for t : 25t + 50 = 27.5t +35
27.5t + 35 = (55t) /2 + 35 : 25t + 50 = (55t) /2 + 35
subtract (55t) /2 + 50 from bot side : -(5t) /2 = -15
multiply both side by -2/5: t = 6 hours
Write the equation in slope-intercept form y+3=4(x−1) plz do step by step
Answer:y=4x -7
Step-by-step explanation:
The slope intercept form is: y= mx + b
Y+3 = 4(x-1) step one distribute 4
Y+3= 4x - 4 step two subtract 3 from both sides
Y=4x -7
Please help me with this
Answer:
Step-by-step explanation:
The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.
The missing side is the hypotenuse
x + 2x + sqrt(x^2 + (2x)^2 ) = 28
3x + sqrt(x^2 + (2x)^2 ) = 28
sqrt(x^2 + (2x)^2 ) = 28 - 3x Square both sides
x^2 + 4x^2 = 784 - 168x + 9x^2
5x^2 = 784 - 168x + 9x^2
0 = 784 - 168x + 4x^2 Use the quadratic formula to solve this. It does not factor.
x = 5.34
2x = 10.68
hypotenuse = sqrt (5*5.35^2)
hypotenuse = 5.35*sqrt(5)
hypotenuse = 11.96
=============
Shortest leg = 5.35
Other leg = 10.7
Hypotenuse = 11.96
Total = 28.01
So the answer is mathematically correct for the hypotenuse being the unknown.
#################################
If the leg is unknown, then I'll set up the equation and you can solve it.
x + sqrt(4x^2 - x^2) + 2x = 28 subtract x from both sides
sqrt(4x^2 - x^2) + 3x = 28 Square both sides
sqrt(3x^2) = 28 - 3x
3x^2 = 784 - 168 + 9x^2
6x^2 - 168x + 784 = 0
x = 5.91
You can carry on from here.
Answer:
Step-by-step explanation:
Let's call the sides a,b,c
P=28 so
a+b+c=28
twice as long means a = 2b substitute in equation above
2b+b+c=28
3b+c=28
but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse
Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c
a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²
4b² = b²+c² or c² = b²+ 4b²
3b² = c² or c² = 5b²
yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784
9b²-168b+784=3b² or 9b²-168b+784=5b²
6b²-168b+784=0 or 4b²-168b+784=0
and probably solve using quadratic equations