The lateral surface area of the cone will be 65π square cm.
What is the lateral surface area of a cone?Let d be the diameter of the base circle, l be the slant height, and h be the height of the cone.
Then the lateral surface area of the cone will be
LSA = πrl
Then the slant height is given as
l² = r² + h²
l² = 5² + 12²
l² = 25 + 144
l² = 169
l = 13 cm
Then the lateral surface area will be
LSA = π × 5 × 13
LSA = 65π cm²
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Jane got scores of 67, 83, and 79 on three math tests. What must her score be on the fourth test for the average of the four to be 80?
Pablo planted a tomato plant for his neighbor.
The tomato plant has 2 tomatoes. Pablo said
that he expects the number of tomatoes to
triple each month. After a certain number of
months, he expects there to be 54 tomatoes.
If m represents the number of months, which
equation could Pablo's neighbor use to
determine when Pablo expects there to be
54 tomatoes?
A. 3.2 = 54
B. 3.m2 = 54
C. 2.3" = 54
D. 2 m² = 54
Answer:
i think its 2m²=54, not sure thought
Graph the function.
g(x) = -1/5(x+5)^2-2
Answer:
Step-by-step explanation:
The first one is Crosses the axis at (1, 0). The second one is Crosses the axis at (−4, 0). The third one is touching the axis at (−5, 0).
To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²
5 units right and 9 units down
Step-by-step explanation:
Let us revise the translation
1. If the function f(x) translated horizontally to the right by h units, then
its image is g(x) = f(x - h)
2. If the function f(x) translated horizontally to the left by h units, then
its image is g(x) = f(x + h)
3. If the function f(x) translated vertically up by k units, then its image
is g(x) = f(x) + k
4. If the function f(x) translated vertically down by k units, then its image
is g(x) = f(x) - k
∵ f(x) = x²
∵ g(x) = (x - 5)² - 9
∴ g(x) = f(x - 5)² - 9
∴ h = 5 ⇒ 5 units right
∴ k = -9 ⇒ 9 units down
∴ f(x) translated 5 units to the right
∴ f(x) translated 9 units down
To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²
5 units right and 9 units down
The graph of g(x) = -1/5(x + 5)² - 2 is plotted making use of the points it passes.
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
The given function is g(x) = -1/5(x + 5)² - 2.
In order to plot its graph, consider following values of x and y as follows,
For x = 0,
g(x) = -1/5(0 + 5)² - 2
= -7
For x = -5,
g(x) = -1/5(-5 + 5)² - 2
= -2
Now as the given function has its degree as 2, it is parabolic.
Thus, its graph can be drawn as follows,
Hence, the graph of the given function is drawn clearly.
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Translate algebraic words to symbols.
W
Twelve more than x is greater than
two
A. 12x>2
B. 12/x < 2
C. x + 12>2
D. 12-x>2
Answer:
C. x + 12 > 2
Step-by-step explanation:
Given:
Twelve more than x is greater than two
Required:
Translate to symbols
Solution:
Twelve more than x can be represented as "x + 12"
Greater than is represented by the symbol ">"
Two represented as "2"
Therefore, the translation to symbols would be:
x + 12 > 2
Find the average of the bowling scores 135, 185, 160, and 148
Answer:
157
Step-by-step explanation:
135+185+160+148 =628
628÷4 = 157
Solve for the missing angle:
Answer:
47
Step-by-step explanation:
they are corresponding
PLEASE PLEASE HELP YA'LL 3RD TIME POSTING AND REALLY NEED HELP!!!! NO LINKS ALLOWED!!
What are the resulting coordinates of triangle X′Y′Z′ after rotating triangle XYZ counterclockwise 90° about the origin? Question options:
A) X′ (1, 1), Y′ (1, 4), Z′ (–4, 4)
B) X′ (1, 1), Y′ (4, 1), Z′ (4, 4)
C) X′ (1, 1), Y′ (1, 4), Z′ (4, 4)
D) X′ (–1, 1), Y′ (1, 4), Z′ (4, –4)
Answer:
C
Step-by-step explanation:
Rotation 90 degrees counter clockwise rule (x,y) -----> ( -y , x )
In order to find the answer we must first find the coordinates of the pre image
The coordinates are...
x (1,-1)
y (4,-1)
z (4,-4)
Now we apply the rule stated previously
( The rule explanation: the x and y values swap and the y values sign changes. So if the y value was previously positive, after a 90° counter clockwise rotation, the y value will then be negative)
x (1,-1) -----> swap x and y values ( -1,1) ------> flip sign of new x value ( 1 , 1 )
y (4,-1) ------> swap x and y values ( -1,4) -----> flip sign of new x value ( 1 , 4 )
z (4,-4) -----> swap x and y values ( -4,4) ------> flip sign of new x value ( 4,4)
the new coordinates are X' (1,1) , Y' (1,4) , Z (4,4)
Hence the answer is C
Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen-size blanket that is 6 feet by 9 fee How does the area of the baby blanket compare to the area of the queen-size blanket?
Answer:
1/9
Step-by-step explanation:
2x3=6
6x9=54
54 divided by 6 = 9
Therefore 6 is 1/9 of 54
Hope this helps.
Pls help me with this question I need to turn this in
Pls help
What is the magnitude of the vector u = <4, 7>?
[tex]\sqrt{4^{2}+7^{2}}=\sqrt{16+49}=\boxed{\sqrt{65}}[/tex]
Which of the following is a typical number of books one student checked out?
Answer:
2 Books
Step-by-step explanation:
Because more kids checked out 2 books than any other number
Factor Each Polynomial 18h^4– 27h^2 + 18h
Answer:
[tex]9h(2h^{3} -3h+2)[/tex]
Step-by-step explanation:
Factor 9h out of 18h^4 - 27h^2 + 18h.
I need formulas for volumes of cones and cylinders. And other 8th grade math formulas if you have any, preping for eog.
Answer:
(Shown below)
Step-by-step explanation:
Here are a few formulas for shapes:
Perimeter of a rectangle: Length + Length + Width + Width = PerimeterArea of a rectangle: Length * Width = AreaPerimeter of a triangle: Base + Height + Hypotenuse = PerimeterArea of a triangle: (Base * Height)/2 = AreaTo find the missing side length in a right triangle: [tex]a^{2} + b^{2} = c^{2}[/tex]Circumference of a circle: (2 * [tex]\pi[/tex] * r) = CircumferenceArea of a circle: [tex]\pi (r)^{2}[/tex] = AreaSurface area of a rectangular prism: All sides added up = Surface areaVolume of a rectangular prism: Length * Width * Height = AreaVolume for a sphere: [tex]\frac{4}{3}\pi r^{3}[/tex] = VolumeVolume for a cylinder: [tex]pi (r^{2})h[/tex] = VolumeVolume for a cone: [tex](pi (r^{2})h)/3[/tex] = VolumeHere a few formulas for functions, if you need it:
Linear function: y = mx + bQuadratic function: [tex]ax^2+bx+c = 0[/tex]Quadratic formula: (Shown at the bottom)Hope this helps!
Find the length of the hypotenuse of the triangle.
1mm 4/5mm c
Answer: 169/225 (0.75 2d.p)
Step-by-step explanation:
c²=a²+b² as C is Hypotenuse (largest side)
c²=(1/3)² + (4/5)²
c²= 1/9 + 16/25
c=169/225
I need help if your an ap student 5!∛54-3.14
Answer:
100-.idrk
Step-by-step explanation:
im the best
The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?
A right triangle RST is drawn. A square is drawn onto each side of the triangle. The area of the square A is 49 square meters and the area of the square B is 144 square meters. Determine the length, x, of the indicated side of the right triangle.
Answer:
144+49=x²
193. =x²
X =√193
x. =+-13.89
1. 8x – 4 = 12x + 12
2. 7(x – 2) + 3x = 46
are 2 different questions, answer the 2 if you can
I really need help.... i am doing k12 online and i have SO much overdue and i need help, I MIGHT FAIL 6th GRADE!! i know thats not ur problem but i really need help I will mark brainliest if it lets me.
Answer:
Table 1(red)
Step-by-step explanation:
A proportional relationship will have a constant of proportionality between y and x all through the data given.
Constant of proportionality, k = y/x
Table 1 (red):
y/x = 5/1 = 10/2 = 20/4 = 5
k = 5 all through, therefore, this table show a proportional relationship between x and y
Table 2 (blue):
y/x = 1/6 ≠2/9 ≠ 4/15
This doesn't have a constant of proportionality, k, that is the same all through in the given table of values. Therefore, it doesn't show any proportional relationship between x and y
What is the surface area of this figure? Round to the nearest tenth if necessary.
10 ft
12 ft
6 ft
8 ft
11. Simplify 3/ 2 - /2
answer:
you can't simplify that
step-by-step explanation:
3/2- /2 isn't a proper equation, therefore it cannot be simplified
please let me know if the issue is that you forgot the numerator, and in the instance that this is the case please type in the comments the numerator and i'll gladly change my answer
have a nice day!
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
Answer:
Here you go
Step-by-step explanation:
Hope this helps :)
Find the number of degrees in the third angle of
the triangle
The figure is not drawn to scale.
The measure of the missing angle I'd 100 43
Answer:
37
Step-by-step explanation:
triangles' inside angles always equal 180. so 100+43=143. 180-143=37
can ace and expert help me help
Answer:
24
Step-by-step explanation:
Highest 33
lowest 9
range = 33 - 9 = 24
What is the range of fat grams for the five sandwiches?
15162121.224 ____________________Solution :-Given Information :-Highest grams fat in sandwich ➢ 33 gLowest grams fat in sandwich ➢ 9 gTo Find :-Range of fat grams for the five sandwiches. Formula Used :-Range = Highest limit - Lowest limit Calculation :-⇒ Range of fat grams for the five sandwiches = 33 - 9
Calculating further, We get,
⇒ Range of fat grams for the five sandwiches = 24 g
Since, 24 is also given as option E. 24. Therefore, option E. 24 is the correct answer.
____________________Final Answer :-Option E. 24 is the correct answer. ____________________18ft times 12ft long
Answer:
216 ft
Step-by-step explanation:
18 x 12 = 216 so ya ezzzzzz :)))))
You have no more than 15 hours this week to spend reading a book and
writing in your journal. Write and graph an inequality describing the
possible amounts of time you can spend reading and writing this book.
100 m
100 m
120 m
Which is the height of the triangle?
O A. 40 m
B. 60 m
O C. 80 m
D. 100 m
O e 110 m
B. 60 m is the height of the triangle
Answer:
B. 60m
Step-by-step explanation:
i took the test
In the diagram, point C represents the center of the sphere. Diego says that the part of the sphere labeled D is the radius. Gregoire says that the part of the sphere labeled D is the diameter of the sphere.
A sphere. C is the center and D is the diameter.
Who is correct and why?
Gregoire is correct; the diameter is a chord that passes through the center of the sphere.
Gregoire is correct; the diameter is a chord that is from the center to the surface of the sphere.
Diego is correct; the radius is a chord that passes through the center of the sphere.
Diego is correct; the radius is a chord that is from the center to the surface of the sphere.
Answer:A
Step-by-step explanation: edg 2021
Gregoire is correct; the part of the sphere labeled D is the diameter of the sphere.
What is a sphere?It is a three-dimensional figure where the volume is given as 4/3 πr³
We have,
The diameter of a sphere is a chord that passes through the center of the sphere and has endpoints on the surface of the sphere.
Therefore, the part of the sphere labeled D in the diagram is the diameter, not the radius.
The radius of a sphere is a chord that is from the center to the surface of the sphere, and it is half the length of the diameter.
Thus,
Gregoire is correct; the part of the sphere labeled D is the diameter of the sphere.
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what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?
PLEASE HELP ITS DUE TODAY
Question 5 Multiple Choice Worth 1 points)
(06.03)
What is the axis of symmetry for f(x) = -5x2 – 20x - 10?
Ox = 6
Ox= -6
Ox=2
Ox= -2
Answer:
a
Step-by-step explanation: