Answer:
The volume of the plastic pipe is 141 cubic centimetre
Step-by-step explanation:
Given:
The Length of the plastic water pipe = 12 cm
The inner Diameter of the plastic water pipe = 12 cm
The outer Diameter of the plastic water pipe = 15 cm
To Find:
the volume of the plastic pipe not the hollow interior to the nearest hundredth = ?
Solution:
The volume of the plastic water pipe can be found by using the volume of the cylinder formula
The Volume of the cylinder = [tex]\pi r^2 h[/tex]
Where
r is the radius
h is the height
Radius r [tex]= \frac{diameter}{2} = \frac{15}{2} = 7.5 cm[/tex]
On substituting the values
The Volume of the cylinder
= [tex]\pi (7.5) (6)[/tex]
= [tex]45 \pi[/tex]
= 141.37 cubic centimetre
= 141 cubic centimetre
Calculate the mean of 12, 15, 6, 4, and 3.
Answer:
8
Step-by-step explanation:
12+15=27 27+3=30 30+6+4=40 40/5=8
Answer:
the answer is 8
Step-by-step explanation:
12+15+6+4+3 / 5 = 8
What is the answer for 25% of 450
Answer:
112.5
Step-by-step explanation:
112.5 ÷ 450 =
0.25 =
0.25 × 100/100 =
0.25 × 100% =
(0.25 × 100)% =
25%
or
25% × 450 =
(25 ÷ 100) × 450 =
(25 × 450) ÷ 100 =
11,250 ÷ 100 =
112.5
Answer:
112.5
Step-by-step explanation:
First you would divide 450÷100=4.5. Then you would multiply 4.5×25=112.5.
this would give you 25% of 450
400÷100=4.5
4.5×25=112.5
Simplify the expression.
Answer:
The answer is (t4)-7
Step-by-step explanation:
First you simplify the like terms so t add the 2s together and you get t4 then add the negative numbers and it equals -7.
Answer:(t4)-7
Step-by-step explanation:
Juan plans to watch 2 movies each month. Write an equation to represent the total number of movies (n) the he will watch in (m) months.
Answer:
n = 2m
Step-by-step explanation:
total number of movies = 2 movies every month times the number of months
Answer:
n = 2m
Step-by-step explanation:
total number of movies = 2 movies every month times the number of months
6. Find the value of x.
19x - 36
6x + 31
Final answer:
To find the value of x, set the expressions equal to each other and solve for x.
Explanation:
To find the value of x in the given equation, we need to set the two expressions equal to each other and solve for x. So, we have:
19x - 36 = 6x + 31
Subtracting 6x from both sides, we get:
13x - 36 = 31
Adding 36 to both sides, we get:
13x = 67
Dividing both sides by 13, we get:
x = 67/13
So the value of x is approximately 5.15.
The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the
legs of the triangle? Select three options.
3 0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x - 24 = 0
10 ft
(x + 2) ft
* x2 + 2x - 48 = 0
* x2 + (x + 2)2 = 100
xft
Not drawn to scale
The equations used to find the length of leg of triangle are:
[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]
Solution:
From given,
Area of right triangle = 24 square feet
Also from given figure in question (attached below )
base = x and height = x + 2
The area of triangle is given by formula:
[tex]Area = \frac{1}{2} \times base \times height[/tex]
Substituting the values we get,
[tex]24 = \frac{1}{2} \times x \times (x+2)\\\\24 = 0.5x(x + 2)\\\\48 = x(x+2)\\\\x^2 + 2x - 48 = 0\\\\[/tex]
Also, the above equation can be written as,
[tex]x^2 + (x+2)^2 =100[/tex]
Thus the equations used to find the length of leg of triangle are:
[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]
Answer:
A, D, E
Step-by-step explanation:
From the answer above, but the letters to make it easier :)
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked
from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the
total distance Courtney walked was 8 kilometers,
Let 6 be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours
it took her to walk from the beach to the park.
Which system of equations represents this situation?
Question:
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.
Let b be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours it took her to walk from the beach to the park.
Which system of equations represents this situation?
Answer:
CORRECT (SELECTED)
⎪b+p=2
⎨4b+5p=8
Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of the sealed cans in ounces?
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (negative 5, negative 27.5) and ends at point (5, 27.5).
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (negative 5, negative 27.5), (negative 4, negative 22), negative 3, negative 16.5), (negative 2, negative 11), (negative 1, negative 5.5), (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
Answer:
the answer is the first graph
Step-by-step explanation:
because the negative points are not viable
The graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a linear equation in the form of slope:
y = 5.5x
Slope of the line m = 5.5
Slope is positive, which means the line goes down to up.
We can plot the graph of the equation y = 5.5x
Option first On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5) is correct.
Thus, the graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
Simplify 3(1/6+2/9) + (-2)
Answer:96
Step-by-step explanation:
Answer:
-5/6
Step-by-step explanation:
3(1/6+2/9)+(-2)
1/6+2/9= 7/18
3*7/18 = 21/18 = 1 1/6
1 1/6 - 2 = -5/6
Please help! How do I simplify -16(0.47)^2?
I know the answer, I'm just not sure of the steps.
Step-by-step explanation:
We have,
[tex]-16(0.47)^2[/tex]
To find, the value of [tex]-16(0.47)^2[/tex] = ?
∴ [tex]-16(0.47)^2[/tex]
= [tex]-16(\dfrac{47}{100} )^2[/tex]
= [tex]-16\times \dfrac{47}{100}\times \dfrac{47}{100}[/tex]
= [tex]-4\times \dfrac{47}{25}\times \dfrac{47}{100}[/tex]
= [tex]- \dfrac{47}{25}\times \dfrac{47}{25}[/tex]
=[tex]- \dfrac{2209}{625}[/tex]
= - 3.5344
∴ The value of [tex]-16(0.47)^2[/tex] = - 3.5344
Thus, the value of [tex]-16(0.47)^2[/tex] is equal to - 3.5344.
An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range? 0 to StartFraction pi Over 2 EndFraction radians StartFraction pi Over 2 EndFraction to π radians π to StartFraction 3 pi Over 2 EndFraction radians StartFraction 3 pi Over 2 EndFraction to π radians
Answer:
0 to StartFraction pi Over 2
Step-by-step explanation:
we know that
If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too
so
The central angle in degrees is within the range [tex](0,90^o)[/tex]
Convert to radians
Remember that
[tex]\frac{\pi}{2}\ radians=90^o[/tex]
therefore
the range in radians is [tex](0,\frac{\pi}{2})[/tex]
0 to StartFraction pi Over 2
Answer: A. 0 to pi/2 radians
Step-by-step explanation:
What is the value of y in the product of powers below? 8 cubed times 8 Superscript negative 5 Baseline times 8 Superscript negative 2 Baseline = StartFraction 1 Over 8 squared EndFraction
Answer: [tex]y=0[/tex]
Step-by-step explanation:
The complete exercise is attached.For this exercise it is important to remember:
1. The Product of powers property. This property states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
2. The multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
Then, given:
[tex]8^3*8^{-5}*8^y=8^{-2}=\frac{1}{8^2}[/tex]
You can identify that [tex]8^{-2}[/tex] is obtained by applying the Product of powers property:
[tex]8^{3+(-5)+y}=8^{-2}=\frac{1}{8^2}[/tex]
Based on the explained above, you can write the following equation:
[tex]3+(-5)+y=-2[/tex]
Therefore you must solve for the variable "y" in order to find its value. You get that this is:
[tex]3-5+y=-2\\\\-2+y=-2\\\\y=-2+2\\\\y=0[/tex]
Answer:
You're trying to find the value of y that would result in 8^-2. When you multiply terms with the same base, you can add the exponents. 3+-5=-2 and -2-(-2) equals 0, so therefore y is equal to 0.
Step-by-step explanation:
The awnser choices are in the second photonplz awnser asap their are
3 questions plz help
Answer:
Part A : [tex]1621\frac{1}{3}\pi[/tex] cubic meters.
Part B : 540π cubic cm.
Part C : [tex]V = \frac{4}{3}\pi r^{3}[/tex]
Step-by-step explanation:
Part A :
The volume of the silo includes the volume of a hemisphere and a cylinder.
So, the total volume
[tex]V = \frac{2}{3}\pi r^{3} + \pi r^{2}h[/tex]
⇒ [tex]V = \frac{2}{3} \times \pi (8)^{3} + \pi (8)^{2} (20)[/tex]
⇒ [tex]V = \frac{1024}{3}\pi + 1280\pi = 1621\frac{1}{3}\pi[/tex] cubic meters. (Answer)
Part B :
The volume of the cylindrical cup with height 15 cm and base radius 6 cm is given by
[tex]V = \pi r^{2}h = \pi (6)^{2} (15) = 540\pi[/tex] cubic cm.
Therefore, Mary can put 540π cubic cm of water in the cup with out it overflowing. (Answer)
Part C :
A basketball is of a spherical shape.
So, the formula of its volume is given by [tex]V = \frac{4}{3}\pi r^{3}[/tex]. (Answer)
Please help me asap i will mark branlist please explain
Answer:
195in^2 is the correct answer.
Step-by-step explanation:
How to write 47 in mayan notation
Answer:
. .
. .
_
explanation
2×20^1+(1×5+2)×20^0=47
The number 47 in Mayan notation is:
..
-..
Writing 47 in Mayan notation:
1. Divide 47 by 20:
- Quotient: 2
- Remainder: 7
2. Convert to Mayan symbols:
- Quotient (2) for the second level (20s place): Two dots (..)
- Remainder (7) for the first level (units place): One bar and two dots (-..)
So, 47 in Mayan notation is:
..
-..
Top level (2 × 20) = ..
Bottom level (7) = -..
I’m having trouble if you know how please explain!
Answer:
None of the above
Step-by-step explanation:
So in order to do this you have to plug in each answer to the equation.
Lets start with (6,0)
0 = -2(6) + 6 = 0 = -6. This answer is wrong because its false. 0 does not equal -6.
Next answer, (1,4)
1 = -2(4) + 6 = 1 = -2 This answer is also wrong because 1 does not equal -2.
Next answer, (-2,-2)
-2 = -2(-2) + 6 = -2 = 10 This answer is wrong as well because -2 doesn't equal 10.
This leaves us with none of the above which is true since the first 3 answers are wrong.
Elena went 60 meters in 15 seconds. How far did she go in 1 second
Answer:
Elena went 4 meters a second.
Step-by-step explanation:
The first thing we would do would be to divide 60 and 15.
So 60÷15
This would equal 4.
If you have any questions feel free to ask in the comments. - Mark
Answer:
She went 4 meters per second
Step-by-step explanation:
Equation is: 15x=60
15 15
x=4 meters
what is the second smallest number that has 1,2,3,4,5 as factors
100 points for the first five people!!!!!
Answer:
cj sjx soiebxidhevdi hi
Answer: hi
Step-by-step explanation:
Lol
points (0,12) and (1,3) in linear function
Answer:
y = -9x + 12
Step-by-step explanation:
first find the slope
m= 3 - 12
1 - 0
m = -9
y = mx + b
y = -9x + 12
(the 12 is the y intercept and is given in the question so there is no need to solve for it)
A shipping company says the box can hold a volume of 672 cubic inches. The base of the box measures 14 inches by 8 inches. What is the height of the box?
Height is 6 inches
Step-by-step explanation:
The volume of a box can be calculated as : l * w * h
Volume of the box is given as =672 in²
Applying the formula
v=l*w*h
672= 14*8*h
672/(14*8) = h
6=h
Height is 6 inches
Learn More
Volume of a rectangular box:https://brainly.com/question/10777272
Keywords ; company, volume,height, inches
#LearnwithBrainly
Answer:
6 in
Step-by-step explanation:
The next number in the series 13, 18, 16, 21, 19, is:
Answer:24
Step-by-step explanation: the pattern is add 5 minus 2 (13+5=18, 18-2=16) so 19+5=24
Answer: 24
Step-by-step explanation: pattern is add 5 then subtract two for next one
Hope this helps
Tony believes that x = -9 is a root of the polynomial x^2 + 13x + 36. Erika, however, believes that x = 4 is a root of the same polynomial. Who is correct?
Tony is correct.
Step-by-step explanation:
Given polynomial is;
[tex]x^2+13x+36=0[/tex]
Tony's answer is x = -9
We will put x = -9 in given polynomial.
[tex](-9)^2+13(-9)+36=0\\81-117+36=0\\0 = 0[/tex]
Tony's solution satisfies the equation.
Erika's answer is x = 4
We will put x = 4 in given polynomial.
[tex](4)^2+13(4)+36=0\\16+52+36=0\\104\neq 0[/tex]
Erika's solution does not satisfy the equation, therefore
Tony is correct.
Keywords: polynomial, roots
Learn more about polynomials at:
brainly.com/question/11258952brainly.com/question/11343416#LearnwithBrainly
find the sum of the product of 10 and 36 and the product of 12 and 51
Answer:
972
Step-by-step explanation:
10 x 36= 360
12 x 51= 612
360+612= 972
Brainliest please :)
Answer:
972
Step-by-step explanation:
Product = Multiplication
Sum = Addition
10 * 36 + 12 * 51
Multiply first
360 + 612
Add
972
Hope this helps :)
Is this right? If not someone explain to me why it’s not. :)
Answer:
x= 14√3
y= 28√3
Step-by-step explanation:
Please see attached picture for full solution.
(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)
In this case, by Pythagoras's Theorem, you should ensure that:
[tex] {y}^{2} = 42^{2} + {x}^{2} [/tex]
✓ Let's check:
[tex]{y}^{2} = (28 \sqrt{3} )^{2} \\ y^{2} = 2352 \\ {x}^{2} + {42}^{2} = ( 14\sqrt{3})^{2} + 1764 = 2352[/tex]
This satisfies Pythagoras' Theorem :)
For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.
Cosine angle= adjacent/ hypotenuse
Sine angle= opposite/ hypotenuse
tangent angle= opposite/ adjacent
Then substitute the known side and angle to find the unknown side.
the solution to 5 - 3x> 35 is either x>-10 or -10> x. which solution is correct
WILL GIVE BRAINIEST!!!
Dominic collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected: Favorite Sport Swimming Running Volleyball Row totals Grade 8 0.24 0.17 0.05 0.46 Grade 9 0.18 0.14 0.22 0.54 Column totals 0.42 0.31 0.27 1 Based on the data, which statement is most likely correct? In Grade 8, 14 students liked swimming. In Grade 8, 17% of students liked running. In Grade 9, 31% of students liked volleyball. In Grade 9, 22 students liked volleyball.
Answer:
The only correct statement is ii) In Grade 8, 17% of the students liked
running.
Step-by-step explanation:
Favorite Sports
Swimming Running Volleyball Total
Grade 8 0.24 0.17 0.05 0.46
Grade 9 0.18 0.14 0.22 0.54
Total 0.42 0.31 0.27 1
i.) In Grade 8 14 students liked swimming.
This cannot be said with accuracy as the total number of students is not
known.
ii) In Grade 8, 17% of the students liked running.
This statement is TRUE.
iii) In Grade 9, 31% of students liked volleyball.
This statement is NOT TRUE. In Grade 9, 22% of the students liked
volleyball.
iv) In Grade 9, 22 students liked volleyball.
This cannot be said with accuracy as the total number of students is not
known.
The only correct statement is ii) In Grade 8, 17% of the students liked
running.
Answer:
In Grade 8, 17% of the students liked running.
write an expression please help me
I'm pretty sure it's
(24/3) + x.
Simplify it: 8 + x
if you know abc=def can you state bc=ef
Answer:
CPCTC
Step-by-step explanation:
If abc=def is given,
then using the cpctc rule. (corresponding parts of congruent triangles are congruent) should state this answer.
Solve the system of equations. y = 6x - 27 y = 4x - 17 a. ( -5, 3) c. ( 5, 3) b. ( -3, -5) d. No solution Please select the best answer from the choices provided A B C D
Answer:
c. ( 5, 3)
Step-by-step explanation:
6x-27=4x-17
6x-27-4x=4x-17-4x
2x-27=-17
2x-27+27=-17+27
2x=10
x=10/2
x=5
y=6(5)-27
y=30-27
y=3