Answer:
1808.64
Step-by-step explanation:
Given parameters:
Height of cylinder = 9 meters
Radius = 8 meters
To Find:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
9(3.14)8^2=1808.64
[RevyBreeze]
Solution:
Given:
Height of cylinder = 9 metersRadius of cylinder = 8 metersRecall that the volume of the cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\bullet \rightarrow \pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (\pi)(r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(8^{2})( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(64)( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow \boxed{1808.64 \ m^{2} = \text{Volume of cylinder}}[/tex]
120 as a product of primes
Answer: 2 x 2 x 2 x 3 x 5
Step-by-step explanation:
Hope this helps. Those are all primes that equal 120.
Write the equation of the line that passes through the points (3,-3) and (3,8). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.
The equation of the line is the vertical line x = 3.
The gradient of the lineThe gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).
Since the line passes through the points (3,-3) and (3,8),
(x₁, y₁) = (3,-3) and (x₂, y₂) = (3,8).So, substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁).
m = (8 - (-3))/(3 - 3).
m = (8 + 3)/0
m = 11/0
m = +∞
Equation of the line in point-slope form
The equation of the line passing through the point (x₁, y₁) in point-slope form is given by
y - y₁ = m(x - x₁) where
m = gradient = +∞ and (x₁, y₁) = (3, -3)So, substituting the values of the variables into the equation, we have
y - y₁ = m(x - x₁)
y - (-3) = +∞(x - 3)
y + 3 = +∞(x - 3)
y + 3/+∞ = (x - 3)
0 = x - 3
x = 3
So, the equation of the line is the vertical line x = 3.
Learn more about equation of a line in point-slope form here:
https://brainly.com/question/24907633
Use -b/2a to find the axis of symmetry equation and the vertex g(x) = x^2-5x
Answer:
Axis of symmetry (-b/2a)= -2.5 or -5/2
Vertex- (2.5, -6.25) or (-5/2, -25/4)
Step-by-step explanation:
Find the AOS= -(-5)/2(1)= 2.5
Find the vertex= (2.5)^2 - 5(2.5)= -6.25
The solutions to 15(2a – 2) = 5(a2 – 1) are: a = 1, a = –1 a = 5, a = –1 a = 5, a = 1
The solution to the provided expression using the difference of square formula of algebra is a=1.
What is the difference of squares formula?The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,
a^2-b^2=(a+b)(a-b)
The given expression in the problem is,
[tex]15(2a - 2) = 5(a^2 -1)[/tex]
From the property of difference of square, the above equation can be written as,
[tex]15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)][/tex]
Divide both side of the equation with (a-1) as,
[tex]5\times2 = 5(a +1)[/tex]
Divide both side of the equation with number 5 as,
[tex]2 = (a +1)\\a=2-1\\a=1[/tex]
Hence, the solution to the provided expression using the difference of square method of algebra is a=1.
Learn more about the difference of square here;
https://brainly.com/question/1148545
The solutions to 15(2a – 2) = 5(a2 – 1) are:
a = 1, a = –1
a = 5, a = –1
a = 5, a = 1
Answer:
C. a = 5, a = 1
Step-by-step explanation:
150°, 130°, 130°, 150°, 140°, 140°, 150°, 130°, and d. What is d?
Answer:
130
Step-by-step explanation:
This most likely goes in a pattern
150
130
130
150
140
140
150
130
d (130)
e (150)
Answer:
130 degrees
Step-by-step explanation:
It's a pattern so first is 150 the 130 2x and then 150 again and now 140 2x. Starts over 150 again and 130 2x
y = 4x^3– 20x^2+ 25x
Answer:
0 2/5 By zeros
Step-by-step explanation:
Find the value of angle marked x
Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.
Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees
Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.
Now using the knowledge gained lets set up the equation
[tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]
Therefore x is 116 degrees.
Hope that helps!
Which inequality is true when x = 0. 5 and y = 5?
A. 4xy > 11.5
B. 9y + x > 45.5
C. y - 2x < 3
D. 7xy < 18
Answer:
D. [tex]7xy# < 18[/tex]
Step-by-step explanation:
[tex]4(0.5)(5) > 11.5[/tex] [tex]10 > 11.5[/tex] which is not true
[tex]9(5)+0.5 > 45.5[/tex] [tex]45.5 > 45.5[/tex] which is not true (they are equal)
[tex]5-2(0.5) < 3[/tex] [tex]4 < 3[/tex] which is not true
[tex]7(0.5)(5) < 18[/tex] [tex]17.5 < 18[/tex] which is true so the answer is D
I need help on this ASAP
Statements - reasons :-
<1~= <5 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5 ~=<7 - Vertical Angles Theorem
line I || line m - Transitive Property
If two platters of sandwiches serves 12 people at a party, how many platters will you
need if 96 people show up?
Answer:
8 platters
Step-by-step explanation:
volume equals length times width times height v=lwh
solve the equation for l
Answer:
[tex]\frac{V}{wh}=l[/tex]
Step-by-step explanation:
Equation: [tex]V=lwh[/tex]
1). [tex]\frac{V}{wh}=\frac{lwh}{wh}[/tex]
2). [tex]\frac{V}{wh}=l[/tex]
Write an equation in slope intercept form of the line that passes through the points (-5,4) and (5,0)
Answer: y=-0.4x+2
Step-by-step explanation:
Find the equation of the line below?
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
first list a few points to find the slope
(1,1) (3, 2)
y2 - y1/x2 - x1
2 - 1/3 - 1
1/2
y = 1/2x + b
to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)
(-1, 0)
0 = 1/2(-1) + b
0 = -1/2 + b
b = 1/ 2
lets check:
point: (-3, -1)
y = 1/2x + 1/2
-1 = 1/2(-3) + 1/2 ?
-1 = -3/2 + 1/2 ?
-1 = -1
Answer:
Slope intercept form;
y = mx + b
If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.
If we look at the slope it rises 1/2
Though we can double check by using two points of the line:-
Δy y2 - y1
___= ______
Δx x2 - x1
One point of the line, (1,1)
Second point of the line, (3,2)
Plug it into the formula:
2 - 1 1
____ = ____, 1/2 is the slope
3 - 1 2
Now we use it in our equation;
y = 1/2x + 0.5
Find the length of the base of the triangle given the area of 217 ft and the hight of 24 ft
Answer:
18.0833 ft
Step-by-step explanation:
[tex]area=\frac{bh}{2}[/tex] where b is the base and h is the height
[tex]217=\frac{24h}{2}[/tex]
[tex]434=24h[/tex]
[tex]h=18.0833[/tex]
Find the difference between
and
4/9 and -5/9
Answer:
1
Step-by-step explanation:
4/9 and -5/9 are 1 apart. This is because one of the numbers is positive and the other is negative, you have to make the negative number positive and add the two positive numbers together. In this case, 4/9+5/9=9/9. 9/9 is equivalent to 1. So, 4/9 and -5/9 are 1 apart.
Hope the explanation and answer helps!
Answer: -5/9 is negative, 4/9 is positive. The Difference when you subtract =1
Step-by-step explanation:
4/9 - -5/9 = 4/9 +5/9 = 1
(Subtracting negative = adding positive)
What is the value of c?
Answer:
c=9
Step-by-step explanation:
it’s because from the angles, you can see that this is an isosceles triangle, there the two sides have to be the same.
Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
22 Not-equals 21, so 9 is not a solution to the equation.
Answer:
Substitute 9 for the variable h.Simplify by adding 13 and 9.22 Not-equals 21, so 9 is not a solution to the equation.Step-by-step explanation:
13 + h = 21 for h = 9
1. Substitute 9 for the variable h.
Correct, because the question already giving the value that h = 9.
2. Substitute 21 for the variable h.
False, because in the question it states that h is 9, not 21.
3. Simplify by adding 13 and 21.
False, because they are in different sides.
4. Simplify by adding 13 and 9.
True, the question giving that h is 9. In the left sides, it's 13 + h, by adding 13 and 9, we will get the answer for the left side.
5. 21 = 21, so 9 is a solution to the equation.
False, because in the left side is 13 + h = 13 + 9 = 22.
6. 22 Not-equals 21, so 9 is not a solution to the equation.
True, see the explanation in 5.
Answer:
Substitute 9 for the variable h.
Simplify by adding 13 and 9.
22 Not-equals 21, so 9 is not a solution to the equation.
Step-by-step explanation:
the guy above me ∧ is correct!
The first three terms of a geometric sequence are as follows.
-2,10 ,-50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
Can you rephrase the question so I can get a better explanation of what you're trying to ax me
Please help will give BRAINLIEST
Answer:
im not sure but i think its b reconsider and look for other answers
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
If m and n are parallel, then
∠ CBA = ∠ 2 ( alternate angles )
The sum of the 3 angles in a triangle = 180°, thus
∠ 1 + ∠ 2 + ∠ 3 = 180° ( sum of the angles in the triangle )
Circumference of Circle
Geometry
Answer:
the equation for the circumerence of a circle is pi R squared
Step-by-step explanation:
here the radius is 28
So it would be pi 28squared
so i think it would be 784pi
need help serious answer thanks !
Answer:
a + 55 =180
a=180-55=125
b = 55 alternate angles
c=a=125 alternate angles
e =125. alternate angles
f=b=55
h=f=55 alternate angles
Step-by-step explanation:
(a) < a = 180-55= 125
(b) < b = 180- 125= 55
(c) < c = 189- 55 = 135
(d) < e = 125
(e) < f = 180-125= 55
(f) < h = 55
~
< a and < c are vertical angles.
< a and < b are adjacent angles.
< b and <h are Alternate interior angles.
< f and 55° are Alternate Exterior angles.
< a and < e are corresponding angles.
~
Which of the following properties would NOT be used to justify any of the steps in solving the equation below?
72n=3n+4
2(72n)=2(3n+4)
7n=6n+8
7n−6n=6n+8−6n
n=8
A.Subtraction Property of Equality
B.Multiplication Property of Equality
C.Distributive Property
D.Zero Product Property
Given:
The equation is
[tex]\dfrac{7}{2}n=3n+4[/tex]
To find:
The properties which is not used from the given options.
Solution:
We have,
[tex]\dfrac{7}{2}n=3n+4[/tex]
Using Multiplication Property of Equality, multiply both sides by 2.
[tex]2(\dfrac{7}{2}n)=2(3n+4)[/tex]
[tex]7n=6n+8[/tex] (Distributive Property)
Using Subtraction Property of Equality, subtract 6n from both sides.
[tex]7n-6n=6n+8-6n[/tex]
[tex]n=8[/tex]
From the given options only one property is not used, i.e., Zero Product Property.
Therefore, the correct option is D.
What is the domain of the function shown in the mapping?
{x|x= -5, -3,1,2,6)
fuly = -9,-6,0,2,4}
fx|x = -9, -6, -5, -3,0,1,2,4,6}
tyly = -9, -6, -5, -3,0,1,2,4,6}
Mark this and return
Save and Exit
Next
Submit
*see attachment for the diagrambifbthe mapping
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.
From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.
These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}
1. A student grew crystals for science class. This table gives the height of the largest crystal every day for 7 days. The table can be modeled using an exponential function.
Days 2 4 6 8 10 12 14
Height (cm) 2.55 4.25 7.25 12.25 20.65 34.95 59.05
What function best represents the data?
y=1.5·1.3x
y=1.5·0.5x
y=0.59x
y=2.17+0.59x
Will Give Brainiest <3
Answer:
(a) y = 1.5·1.3^x
Step-by-step explanation:
Growth is modeled by an exponential function when the base is greater than 1.
There is only one answer choice that models growth. The others all have a base (0.5 or 0.59) that is less than 1, so model decay.
y = 1.5·1.3^x
9.8x+17=7.6x-16
??????
Q: What is 9.8x+17=7.6x-16?
A: Your answer should be 2.8867, I tried the best I could.
Answer:
x= -15
Step-by-step explanation:
You subtract 7.6 from 9.8
then you left with 2.2x+17=-16
Subtract 17 from -16 ( -33 )
Then you'll divide 2.2 and -33
x= -15
If your height and the length of your shadow are the same, what can you say about the angle of elevation of the sun?
Answer:
A. 90°Step-by-step explanation:
The angle of elevation is the angle between the horizontal line and the line connecting you and the sun.
Since the line is vertical the angle between them is right angle.
Correct choice is A.
Five is less than or equal to the difference of twice a number n and 3.
6
Answer:
5 ≤ 2n - 3.6
Step-by-step explanation:
Five is less than or equal to the difference of twice a number n and 3.6
Five is less than or equal to: 5 ≤
twice a number n: 2n
difference of twice a number n and 3.6: 2n - 3.6
Therefore,
5 ≤ 2n - 3.6
Number is n
Twice a number means multiplication
2nDifference means subtraction
2n-3The expression becomes
5<=2n-3
Waheed's father is twelve years older than his mother. The sum of their ages is 76 years old. How old is Weheed's father
Answer:
32
Step-by-step explanation:
Let, the age of father and mother be x and y respectively. then,
According to question,
x + y = 76.........(i)
x= y + 12...............(ii)
Now,
x + y = 76
or, ( y + 12) + y = 76
or, y + 12 + y = 76
or, 2y = 76 – 12
or, 2y = 64
or, y = 64/2
.
. . y = 32
hope it will help you.
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT 20 POINTS
Answer:
5x-2y=-33
First.) -5x+10x= 5x
Second.) -5y+3y= -2y
Third.) -30+-3= -33
:) Hope you enjoy this :)Amelia needs to buy some dog food.At the nearest store,6 bags of dog food cost $34.50. How much would Amelia would spend on 5 bags of dog food
Answer: The answer would be $28.75
Step-by-step explanation: You would first wanna see how much one bag of dog food costs by dividing 34.50 by 6. Then you can muiltiply how much one bag of dog food costs by 5 to see how much Amelia would spend.