Answer:
564.15 cubic ft[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a cone has a diameter of 14 feet and a height of 11 feet and we have to find the volume of the cone.
[tex] \: [/tex]
To Find the volume of the cone, we must know this formula :
[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone. As the diameter is 14 ft, therefore the radius will 7 ft.h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(7)}^{2} \times 11 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 49 \times 11 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 539 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1692.46 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1692.46}{3} }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \: \: \underline{ \boxed{ \frak{564.15 } }} }}}}}}} \: \: \bigstar \\ \\[/tex]
Therefore,
The volume of the cone is 564.15 ft³ .Step-by-step explanation:
Given :-
Height of cone :- 11 feet Diameter of cone :- 14 feet , radius = 7 feetTo Find :-
Volume of coneSolution:-
Formula for volume of cone = 1/3πr²h
putting the known values ,Volume = 1/3×3.14×7²×11 cubic ft.
Volume = 564.15 cubic ft.
h(x)= {1/x-5 , x=0
{-(x-4)^2, x=7
{ 3x-2, x~0,7
h(6)
Answer:
16
Step-by-step explanation:
h(x)=3x-2 in (0,7)
h(6)=3(6)-2=18-2=16
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answer:
The answer to the equation is: x + y ≥ 45
because In the question "Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?" Since the total time he spent on both is 45 minutes or more, it means that the sum of x and y is greater than or equal to 45. Therefore, the required equation is x + y ≥ 45
Step-by-step explanation: can u give brainliest please i am the fisrt person to answer u
Jamaal spent x minutes practicing guitar and y minutes on homework -> the total time he spent on both is x + y
It says that the total time is 45 minutes or more, which means the time he spent must be at least 45 minutes or above.
So, the option that fits the most is x + y ≥ 45
Write the first six terms of the sequence.
with an explanation please! i have no idea how to solve this on my own
49, 36, 25, 16, 9, 4
============================================================
Explanation:
We always start with n = 1 when it comes to sequences and series problems.
Plug in n = 1 to get
[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]
The first term is 49, showing that the answer is choice C.
We can stop here, but I'll show how to do another one to help you get practice. Plug in n = 2.
[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]
I'll let you compute the other terms.
Answer:
49,36,25,16,9,4
Step-by-step explanation:
First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.
Foil out the equation:
a=(n-8)^2
a=(n-8)(n-8)
a=n^2-8n-8n+64
a=n^2-16n+64
Now find the values by substituting values n>=1:
49=1^2-16(1)+64
36=4-32+64
etc.
Find the surface area of the rectangular prism.
7 mi
4 mi
2 mi
Answer:
mi?
Suteri Anar
Answer:
Right rectangular prism
Solve for surface area
A=100
l Length
7
w Width
4
h Height
2
Solution
A=2(wl+hl+hw)=2·(4·7+2·7+2·4)=100
what is the value of the expression below 2816 * 7
Answer:
2816 x 7 is 19712.
Step-by-step explanation:
I'm not going into detail, but simply, use a calculator
Answer:
the answer is 19,712
Step-by-step explanation:
ur welcome
Classify the following triangle. Check all that apply
Answer:
The answer is F, A
Step-by-step explanation:
It is a right and isosceles triangle
Answer:
right and isosceles
Step-by-step explanation:
the sum of the degree measurement of all triangles is 180
given are 45 and 45
45 + 45 = 90 so the other angle must be 90
a triangle with an angle of 90 degrees is always a right triangle
also
8^2 + 8^2 = 11.3^2
64 + 64 = 127.69
this is close enough to being true
an isosceles triangle is a triangle with 2 equal side lengths
this is an isosceles triangle because 8 = 8
1. If PQ || SR and PQRS is an isosceles trapezoid,
find m<1.
A. 30°
B. 32°
C. 34°
D. 36°
Answer:
B. 32°
Step-by-step explanation:
Finding ∠S and ∠R
∠S = 58°∠S = ∠R (Isoceles trapezoid)⇒ ∠R = 58°Similarly, ∠P = ∠Q (same reason as above)
Applying the Angle Sum Property of Quadrilaterals,
∠P + ∠Q + ∠R + ∠S = 360°2∠P + 2∠S = 360°∠P + ∠S = 180°∠P = 180° - 58°∠P = 122° = ∠QFinding the missing angles of the triangle
Left angle : ∠x + 96° = 122°∠x = 26°Applying the Angle Sum Property of Triangles,
∠x + ∠Q + ∠1 = 180°26° + 122° + ∠1 = 180°∠1 = 180° - 148°∠1 = 32°the diagram shows the cross-section of a wall of a cinema.
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
A synthetic diamond has a density of 3.5 grams per cubic centimeter and a mass of 6.3 grams. What is it's volume?
Answer: 1.8 cubic cm
Step-by-step explanation:
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Answer:
[tex]x^2[/tex] + 9x + 8 = 0
Step-by-step explanation:
First, we have to simplify this quadratic equation:
(x+2)^2 + 5(x+2) - 6 = 0
x^2 + 4x + 4 + 5x + 10 - 6 = 0
x^2 + 9x + 8 = 0
Which decimal is the best approximation of √26?
5.1
5.5
5.9
I don't know.
Answer:
5.1
Step-by-step explanation:
√26 = 5.099
5.099 is approximately 5.1
Answer:
5.1
Step-by-step explanation:
k12 quiz :)
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)
Answer:
83 ft^2
Step-by-step explanation:
6*2.5 (bottom)= 15
4*2.5*2 (one set of sides)= 20
4*6*2 (another set of sides)= 48
Add, 83 ft^2
A right circular cylinder has a height of 1934 ft and a diameter 125 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
88772677020890.30
Step-by-step explanation:
To calculate its volume, we need to know two parameters - the radius (or diameter) and height:
cylinder_volume = π * cylinder_radius² * cylinder_height
Answer:
11852.97
Step-by-step explanation:
is the correct answer took the test on k12
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him.
Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).
Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:
l = 20 in.w = 8 in.h = 13 in.Plug in the values into TSA = 2(wl + hl + hw):
Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²
Learn more about total surface area of rectangular box on:
https://brainly.com/question/24448247
What is the value of the expression
below?
8 - 3116
A. -40
-
B. -4
C.
2
D.
20
Answer:
i do not understand how you wrote this please explain better
Step-by-step explanation:
I need help please 15 points
G= {(-5,5), (6, 8), (-5, -5)}
What is the domain and range
Answer:
I'm pretty sure domain is x and range is why which would mean that:
domain: -5,6
range: 5,8,-5
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)
What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?
To find the distance between any points:
⇒ we must know the distance formula
⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]
[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)Let's Solve:
Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5
Thus the distance between the points is 5
Hope that helps!
Verify the following statements and name the property.
A- -6+(+2)
B- 19+(-2)=(-2)+19
C- -7+(-2)
[tex] - 6 - 2[/tex]
[tex] = - 4[/tex]
commutative property.
B- 19+(-2)=(-2)+19[tex] 19 - 2[/tex]
[tex] = 17[/tex]
commutative property.
C- -7+(-2)[tex] - 7 - 2[/tex]
[tex] = - 9[/tex]
closure property.
what is the volume of this shape?
Answer:
480 [tex]cm^2[/tex]
Step-by-step explanation:
8 x 6 x 10
Length x Width x Height.
find the volume
6ft
3ft
4tt
Answer:
72 i think.
Step-by-step explanation:
What is the value of x in the figure?
Enter your answer in the box.
x =
Answer: x = 29
Step-by-step explanation:
Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)
A bicycle wheel has a radius of 1.25 ft. How many feet will the bicycle travel after 75 revolutions? If necessary, round your answer to the nearest foot.
The bicycle will travel approximately 588.75 feet after 75 revolutions. Rounded to the nearest foot, the answer is 589 feet.
What is circumference?The distance along a circle's perimeter is referred to as its circumference.
The distance traveled by bicycle in one revolution is equal to the circumference of the wheel.
The circumference of a circle is given by the formula:
C = 2πr
where r is the radius of the circle and π is approximately 3.14.
In this case, the radius of the bicycle wheel is 1.25 ft.
Therefore, the circumference of the wheel is:
C = 2π(1.25) = 2.5π ft
After 75 revolutions, the distance traveled by bicycle is:
distance = 75 revolutions × 2.5π ft/revolution
distance = 187.5π ft
Using a calculator, we can approximate π as 3.14 and calculate:
distance ≈ 588.75 ft
Therefore, distance = 589 ft.
To learn more about the circumference;
https://brainly.com/question/12512221
#SPJ7
A designer is adding a pendant to a jewelry collection. the shape of the pendent can be defined by the equation y = startfraction 1 over 20 endfraction x squared endfraction. if the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1.25 cm 2.50 cm 5 cm 10 cm
If the largest dimension of the pendant is 10 cm wide then the greatest length will be 5 cm. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
A designer is adding a pendant to a jewelry collection.
The shape of the pendant can be defined by the equation
[tex]\rm y = \dfrac{1}{20}\ x^2[/tex]
If the largest dimension of the pendant is 10 cm wide then the greatest length will be
[tex]\rm y = \dfrac{1}{20}\ (10)^2\\\\\\\rm y = \dfrac{1}{20}\ 100\\\\\\\rm y = 5[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
Answer:
1.25 cm
Step-by-step explanation:
9/25 of 5kg is equal to ?
Answer:
1.8 kg
...............
Answer:
1.8 kg
Step-by-step explanation:
please note the " / " symbol means "divided by"
9 / 25 of 5
to work this out, we first do 5 / 25 and then the answer x 9
so 5 / 25 = 0.2
0.2 x 9 = 1.8
1.8kg or 1,800g
Hope this makes sense. If you need further explanation, let me know!
- profparis
If I helped you, a brainliest would be appreciated :D
Use the Distributive Property to expand 4(x+3)
Answer:
4x+12
Step-by-step explanation:
4(x+3)=4x+12.
You use the distributive property by multiplying both numbers in the parentheses by 4
Answer:
4x +12
Step-by-step explanation:
Distributive property: a*(b + c) = (a *b)+(a *c)
Here, a = 4 ; b = x and c = 3
4*(x + 3) = 4*x + 4*3
= 4x + 12
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer would be team D as their range is 24.
Step-by-step explanation:
Team A: range of 27
Team B: Range of 32
Team C: Range of 27
Team D: Range of 24
Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.
Need help asap pls ty
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
5 : 8 = 5/87 : 9 = 7/9In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
The equivalent fractions with common denominator are:
5/8 = 9*5/(9*8) = 45/727/9 = 8*7/(8*9) = 56/72Now we can compare the fractions:
45/72 < 56/72, since 45 < 56TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.
Answer:
firast divide it by the nearest decimal, then convert your answer into simplest form and you will have your answer.
Step-by-step explanation:
Answer:
can you guys please teach me how to do that