If the cylinder above is similar to a second cylinder that has a radius of 10mm, what is the height of the second cylinder
Answer:
The height of the second cylinder is 30mm
Step-by-step explanation:
Given
Cylinder 1:
[tex]R = 15mm[/tex]
[tex]H = 45mm[/tex]
Cylinder 2
[tex]r = 10mm[/tex]
See attachment
Required
Determine h, the height of the small one
To do this, we make use of the following equivalent ratios;
[tex]R : H = r : h[/tex]
This gives:
[tex]15 : 45 = 10 : h[/tex]
Express as fraction
[tex]\frac{15 }{ 45 }= \frac{10 }{ h}[/tex]
Simplify
[tex]\frac{1 }{ 3}= \frac{10 }{ h}[/tex]
Cross multiply
[tex]h *1 = 3 * 10[/tex]
[tex]h = 30[/tex]
The bar graph shows the number of
members of the Athletic Booster Club
during various years.
In which year was the membership 40% greater than it was in 2012?
Answer:
The anwser is 2015, hope this helps out
What is the greatest common factor of 5 x 7 ,30 x 4 and 10 x 3
URGENTT!!!!!!!
A simple random sample of
150 San Antonio area policemen found that the average time these police officers had worked for the police department was 16
years with a standard deviation of 5 years. Ten years ago the average amount of time policemen stayed on the job was 15 years.
What is the test statistic And P value that the researchers will use for this significance test?
i give brainliest if you help me out
(44=6x-1+9x,-5)
I don’t know how to answer this I just know it’s ( , -5)
Answer:
Step-by-step explanation:
(44=6x-1+9x.-5)
We move all terms to the left:
(44-(6x-1+9x.-5))=0
We add all the numbers together, and all the variables
(44-(6x+9x.-6))=0
We calculate terms in parentheses: +(44-(6x+9x.-6)), so:
44-(6x+9x.-6)
determiningTheFunctionDomain
-(6x+9x.-6)+44
We get rid of parentheses
-6x-9x.+6+44
We add all the numbers together, and all the variables
-6x-9x.+50
Back to the equation:
+(-6x-9x.+50)
We get rid of parentheses
-6x-9x.+50=0
We move all terms containing x to the left, all other terms to the right
-6x-9x.=-50
If a + b = 7 and b=3, what is 4a
A. 20b
B. 17a
C. 16
D.20
The requried simplified value of 4a is 16. Option C is correct.
What is simplification?Simplification is the process of reducing a mathematical expression to its simplest form by combining like terms, using the distributive property, and performing other algebraic operations.
If b=3, then substituting in the first equation, we get:
a + 3 = 7
Solving for a:
a = 4
Now, 4a = 4 x 4 = 16.
Therefore, the answer is C. 16.
Learn more about simplification here:
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Simplify:2(2x+4y-y)
Answer is ?
Answer:
4x+6y
Step-by-step explanation:
distribute and add like terms
Answer:
[tex]4x + 6y[/tex]
Step-by-step explanation:
Collect like terms:
[tex]2(2x + 3y)[/tex]
Distribute 2 through the parentheses:
[tex]4x + 6y[/tex]
Therefore, the answer will be 4x + 6y.
Which graph represents the parametric equations x = t^2 + 2t and y = –t, where –4 ≤ t ≤ 1?
Answer:
We have:
x = t^2 + 2*t
y = -t
where:
–4 ≤ t ≤ 1
Isolating t in the "y" equation, we get:
t = -y
Now we can use the limits of t, to find similar limits for y.
When t = -4
-4 = -y
4 = y
when t = 1
1 = -y
-1 = y
Then the limits for y are:
-1 < y < 4
Now, knowing that t = -y
we can replace that in the "x" equation:
x = t^2 + 2*t
x = (-y)^2 + 2*(-y)
x = y^2 - 2*y
Then the graph of the parametric equation is the one defined by:
x = y^2 - 2*y
in the range
-1 < y < 4
The graph of this can be seen below, where the two black dots are the points where the graph should start/end.
The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:
[tex]x = t^{2}+2\cdot t[/tex] (1)
[tex]y = -t[/tex] (2)
By (2):
[tex]t = -y[/tex]
(2) in (1):
[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]
[tex]x = y^{2}-2\cdot y[/tex]
In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657
Find the area of each regular polygon
7/2h-3(5h-1/2)
I ALSO NEED STEP BY STEP INSTRUCTIONS NO WEBSITES OR SCREENSHOTS TYSM
Answer:
the simplified expression of this is -23/2h + 3/2 or -11 1/2h + 1 1/2.
Step-by-step explanation:
7/2h - 3(5h - 1/2)
3(5h - 1/2)
First, we need to use the distributive property to distribute the expression which requires multiplication or division. We take 3 and multiply it by both values in the parentheses which gives us 15h - 1/2. However, since there is subtraction, we need to do the opposite of that which would be 15h + 1 1/2 or 15h + 3/2. Now we can't forget 7/2h at the beginning of the expression. Here is the remaining expression :
7/2h - 15h + 3/2 or 7/2h - 15h + 3/2
Now, we need to combine like terms which requires values to have the same variable. 7/2h and 15h have the same variable so combine like terms. We do subtraction.
7/2h - 15h
We subtract this and get a result of -23/2 or -11 1/2 but don't forget the variable.
-23/2h
1/2 doesn't have a variable so we no longer can combine like terms. Therefore, it would just be -23/2h + 3/2 or -23/h + 1 1/2.
does anyone understand this?
Answer:
Hello! answer: 80
Step-by-step explanation:
When doing the Pythagorean theorem you do...
a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...
64 × 64 = 4096 48 × 48 = 2304
4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!
Answer:
c = 80 inches
Step-by-step explanation:
The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]
1. Which graph represents the inequality y < 4?
Answer:
The third one.
Step-by-step explanation:
i need help please
Answer:
54
Step-by-step explanation:
55+71=126
180-126=54
x = 5, 3x + 10 = 25, 3x – 11 = 4 are example of: which equastion
Answer:
linear equations, i assume
Step-by-step explanation:
Select ALL of the expressions that are equivalent to 3(8-4x) A. (4x+ 8) + (4x+8) +( 4x+8) B. 24+12x C. -4x+24 D. 12x+24 E. - 12x-24
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
x > 3 y < 2x - 5 answers: (-3, -1) (1, 11) (4, -1) (5, 6)
Given:
The system of inequalities:
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
To find:
The point that represents a solution to the system by using the graph.
Solution:
We have,
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
The related equations of these inequalities are:
[tex]x=3[/tex]
[tex]y=2x-5[/tex]
The line [tex]x=3[/tex] is a vertical line that intersect the x-axis at 3.
The table of values for [tex]y=2x-5[/tex] is:
x y
0 -5
1 -3
Plot (0,-5) and (1,-3) on a coordinate plan and connect them by a straight line.
The boundary lines are dotted lines because the points on the lines are not included in the solution set.
Check the inequalities for (0,0).
First inequality: [tex]0>3[/tex] ( False)
Second inequality: [tex]0<2(0)-5[/tex]
[tex]0<-5[/tex] (False)
Both inequalities are false for (0,0). It means the shaded region of the lines is in the opposite direction of (0,0).
Plot the shaded region and the points (-3, -1), (1, 11), (4, -1), (5, 6) as shown in the below graph.
From the below graph, it is clear that the point (4,-1) is the only point lies in the common shaded region. So, (4,-1) represents a solution to the system.
Therefore, the correct option is C.
According to a recipe for purple paint, the ratio of milliliters of blue paint to milliliters of red paint in the mixture should be 20:4. Selena has 140 ml of blue paint. She wants to mix red paint to it to get the same shade as suggested by the recipe.
For every 1 ml of red paint, the recipe suggests adding [Drop Down 1] of blue paint. So, for
140 ml of blue paint the amount of red paint needed is [Drop Down 2].
Answer:
30ml
Step-by-step explanation:
4x-1/y -3=2 solve for y
I’ll mark as brainliest.
Answer:
12 feet
Step-by-step explanation:
48 divided by 4 is 12 and 48 is the total area
Answer:
12 sq. ft.
Step-by-step explanation:
To find the area of a square (or rectangle) you multiply the length by the width.
To find the length of one side, when you have the area and one side, you divide the area by the side you have.
48 divided by 4 equals 12.
Hope this helps :)
Find the area of the figure below.
15 m
12 m
18 m
a. 431.59 m2
b. 395.59 m²
O c. 1,042.37 m²
Answer:
b. 395.59 m²
Step-by-step explanation:
It's honestly a lot to explain however I can explain if you want me too. Just let me know!
We can write the area of the given figure as 431.59 square meters.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a figure as shown in the image.
It is asked to find the total area of the given figure.
We can write the area of the figure as -
Area = Area{triangle 1} + Area{rectangle} + A{triangle 2} + A{semi circle 1} + A{semi circle 2}
Area = {1/2 x 12 x 15} + {12 x 15 - √(18² - 12²)} + {1/2 x 12 x √(18² - 12²)} + {π(18² - 12²)/2} + {π(15² + 12²)/2}
Area = 431.59 square meters
So, it can be concluded that the area of the given figure as 431.59 square meters.
Therefore, we can write the area of the given figure as 431.59 square meters.
To solve more questions on areas, visit the link-
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Three same-sized cubes are attached to the top of a rectangular prism as shown below
If 5 cm, b = 18 cm, and c = 2 cm, what is the surface area of the figure?
ANSWER ASAP!! PLEASE!!
Answer:
458 cm²
Step-by-step explanation:
5 × 5 × 2 + 5 × 18 × 4 = 50 + 360 = 410
2 × 2 × 4 × 3 = 48
410 + 48 = 458
Round your answer to the nearest hundredth.
с
4
А
25°
B
Answer:
take 25 degree as reference angle
let hypotenuse be x
using cos rule
cos 25=adjacent/hypotenuse
0.90=4/x
0.90x=4
x=4/0.90
x=4.44
Step-by-step explanation:
5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of the bigger container which can be filled by each of the above containers exactly without leaving a remainder when used seperately?
Answer: 1008
Step-by-step explanation:
Given
5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.
The volume of big container is the LCM of the 5 given containers
[tex]LCM(16,72,12,24,56)=1008[/tex]
Therefore, the capacity of the bigger container is 1008 litres.
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Answer:
B) Angle 5 and angle 4
Step-by-step explanation:
Given
See attachment for sketch
See comment for options
Required
The alternate interior angles
Interior angles are such that they are located between the given parallel lines.
In the attached sketch, the interior angles are: 3, 4, 5 and 6
Alternate angles are at the opposite sides of the transversal
Hence:
4 and 5 are alternate interior
3 and 5 are also alternate interior
A new 54 inch flatscreen TV cost $1245 at Best Buy. If Harry has a 15% off coupon what will he pay for the TV
Answer: 1,058
Step-by-step explanation:
Solve for y in the two equations below using substitution.
3x – 6y = 9
– 3x + 3y=9
A. y = 1/3
B. y = - 1/3
C. y = -6
D. y = 6
Answer:
C. y = -6
Step-by-step explanation:
3x – 6y = 9
–3x + 3y = 9
-3y = 18
y = -6
The function f(x) = { x + is used to complete this table. Which statements are true of the given function?
(-1,1) (0,3/2) (1,2) (2,5/2)
Answer:
i don't know
Step-by-step explanation:
can you explain? thank you
What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviation from the mean
Answer:
0.9821
Step-by-step explanation:
Probability that a randomly selected value will be less than 2.1 deviations from the mean ; this means the Zscore = 2.1
Hence, using :
P(Z < 2.1) = 0.9821 (standard normal table
= 0.9821
Can someone help its math :)
Answer:
m<F = 53
Step-by-step explanation:
Exterior angles thm:
5x - 10 + 3x + 14 = 100
8x + 4 = 100
8x = 104
x = 13
m<F:
3x + 14
3(13) + 14
39 + 14
53