Answer:
V ≈471.24 mm^3
Step-by-step explanation:
The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3
A cone and cylinder each have a height of 10 inches and a radius of 5 inches. If you filled the cone completely with water and poured it into the cylinder. How many times would it take until the cylinder is completely full with water?
Answer:
The times that would take until the cylinder is completely full with water by the cone are:
3 times.Step-by-step explanation:
To identify how many times we must fill a cone to fill completely a cylinder with the same height and radius, we must calculate the volume of the two containers and next divide the volume of the cylinder by the volume of the cone. To obtain the volume of the cylinder we can use the next formula:
Volume of a cylinder = [tex]\pi[/tex] * [tex]radius^{2}[/tex] * [tex]height[/tex]If we replace the values in the formula, we obtain:
Volume of a cylinder = [tex]\pi[/tex] *(5 inches)^2 * 10 inchesVolume of a cylinder = 785.4 inches^3 approximately.Now, we're gonna calculate the volume of the cone with the next formula:
Volume of a cone = [tex]\frac{\pi*radius^{2}*height }{3}[/tex]As you can see just with the formula, The volume of a cone is three times less than that of a cylinder (because we add the dividend 3 to it), but we're gonna replace and prove it:
Volume of a cone = [[tex]\pi[/tex] *(5 inches)^2 * 10 inches] / 3Volume of a cone = [785.4 inches^3] / 3Volume of a cone = 261.8 inches^3 approximately.And, if we divide the two volumes to obtain the times we need to fill the cone to fill completely the cylinder:
Times we need to fill the cone = 785.4 / 261.8Times we need to fill the cone = 3By this reason, you must fill completely a cone 3 times to fill completely a cylinder with the same radius and height.
Use the box method to distribute and simplify (−6x^3-x^2 -6x+2)(6x-2). Drag and drop the terms to the correct locations of the table.
(-6x^3-x^2-6x+2)(6x-2)
Answer:
[tex]( - {6x}^{3} - {x}^{2} - 6x + 2)(6x - 2) \\ = ( - 36 {x}^{4} - 6 {x}^{3} - 36 {x}^{2} + 12x + 12 {x}^{3} + 2 {x}^{2} + 12x - 4) \\ = ( - 36 {x}^{4} + 6 {x}^{3} - 34 {x}^{2} + 24x - 4)[/tex]
The correct location of the table are;
6x - 2
- 6x³ - 36x⁴ 12x³
- x² - 6x³ 2x²
- 6x - 36x² 12x
2 12x - 4
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
Given that;
The expression is;
⇒ (−6x³ - x² - 6x + 2) (6x - 2)
Now,
Solve the expression as;
⇒ (−6x³ - x² - 6x + 2) (6x - 2)
After multiplying, we get;
⇒ - 36x⁴ + 12x³ - 6x³ + 2x² - 36x² + 12x + 12x - 4
Thus, The complete table is,
6x - 2
- 6x³ - 36x⁴ 12x³
- x² - 6x³ 2x²
- 6x - 36x² 12x
2 12x - 4
Learn more about the distributive property visit:
https://brainly.com/question/2807928
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PLZZZZ HELPPPPPPPPPPPPPPPPPPP ASAPPPPPPP
Answer:
D. 15π
Step-by-step explanation:
Circumference is equal to diameter times pi,
so C = 15π
please help me I need itttttttttt!!!!!!!!!
Answer:
x=115°
y=65°
Hope it helped<3
x = 115° [corresponding angles]
y = 180° - x = 180° - 115° = 65° [linear pair]
Which algebraic expression represents the difference of e squared and twenty-one? A. E2+21 b.21 times e2 c. E2 - 21 d. 21 divided by e2
Answer: c. E2 - 21
Step-by-step explanation:
difference means to subtract
Now, e squared=E² and twenty-one=21
Therefore the difference of e squared and twenty-one is E2 - 21
Just help, my brain shutdown and its currently 9:51, so help me asap. <3
(05.05) Polygon ABCD has the following vertices:
A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)
Calculate the area of the polygon.
A) 48 units squared
B) 53 units squared
C) 68 units squared
D) 88 units squared
Answer:
B hope this helps!
Step-by-step explanation:
Trust <3
Answer:
The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.
The searched polygon can be seen in the attached image.
The area of the polygon will be the area of the square plus the area of the triangle.
At = (6) * (8) + (1/2) * (5) * (8) = 68
At = 68
answer
the area of the polygon is 68units ^ 2
Hola, estoy empezando a ver trigonometria queria ver si me pueden ayudar con este problema: Un extraterrestre diminuto pero horrible está parado en la punta del edificio Empire State (que mide 443443443 metros de alto) y ¡amenaza con destruir la ciudad de Nueva York! Un agente de los Hombres de Negro está parado al nivel del piso, a 181818 metros del edificio, y apunta su pistola láser al extraterrestre. A qué ángulo, en grados, debe el agente disparar su pistola láser? Redondea tu respuesta final a la décima más cercana.
Answer:
El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.
Step-by-step explanation:
Sea E la localización del extraterrestre, O, el del hombre de negro, y B, el de la base del edificio. A partir de la información disponible, construimos el diagrama geométrico que indica la presencia de un triángulo rectángulo, el cual puede consultarse en la imagen adjunta.
Podemos determinar el ángulo de disparo mediante la siguiente relación trigonométrica inversa:
[tex]A = \tan^{-1} \frac{443\,m}{18\,m}[/tex]
[tex]A \approx 87.7^{\circ}[/tex]
El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.
12+[ 9 4/5 - ( 1.5 + 2 2/10)]
Someone please help me?
Answer:
18.1
The thing You NEEDED to do
Simplify or Evaluate Your Answer*please help*worth 10 points
Answer:
Your answer is A
Step-by-step explanation:
If you have +5 in the first box, and then add -2. You should end up with 3, and that is A.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The diameter is the length of all the way across the circle. The radius is half of that.
the first circle
radius=17cm
diameter =17×2=34cm
second circle
radius=25mm
diameter =50mm
hopefully that helped
I need the answer ASAP
Step-by-step explanation:
the correct answer is A
15 x 35
Answer:
A
Step-by-step explanation:
let width be w , then length l = w + 20
perimeter = 2w + 2l
= 2w + 2(w + 20) , so
2w + 2w + 40 = 100
4w + 40 = 100 ( subtract 40 from both sides )
4w = 60 ( divide both sides by 4 )
w = 15 and l = 15 + 20 = 35
Dimensions are 15 ft by 35 ft → A
LOOK AT THE PICTURE or click on the file
Answer:
H
Step-by-step explanation:
Sorry I'm very busy so no step by step
10. Tamara wants to find the height of a tree outside her home. Using her clinometer, she measures the slope angle from 8 feet away from the base of the tree and gets an angle of 40o . If Tamara's eye level is 5 feet above the ground, how tall is the tree (rounded to the nearest tenth of a foot)? Show your work.
Answer:
11.7 ft
Step-by-step explanation:
Remember the notation SOHCAHTOA
We would be using tan because we have been given the adjacent and we are to determine the opposite value
tan 40 = opposite / adjacent
0.8391 = opposite / 8
opposite = 0.8391 x 8
6.7
Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please find attached a diagram explaining this question
Please someone help me with the ending balance and summary I don't know what to do I really need this for my school project (please do not use links)
Answer:
Solution given:
Annual salary;X
monthly salary:[tex] \frac{X}{12} [/tex]
Monthly expenses:
Total:$12+391+50+100+119.98+75+10+387+178
=$1322.98
I have $X-$1322.98 left after I pay all expenses monthly.
Find the volume of the triangular prism
Thank you!!
Answer:
36 meters
Step-by-step explanation:
HELP
In complete sentences, explain why correlation does not prove causation. Please have at least 3 complete sentences with proper punctuation, grammar, and capitalization.
Answer:
Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption
What is the answer to : 21 ÷ 1/2 of 14 =
Answer:
1/2 OF 14 =7
21/7 = 3
Step-by-step explanation:
Which choice is equivalent to the expression shown?
2(x+4)6 + 13
Question options:
A. x3+33
B. 2x9+59
C. 2x9+99
D. x3+53
Answer:
b
Step-by-step explanation:
Which point on the number line best represents √67?
Answer: C
Step-by-step explanation: The square root of 67 is 8.18
Y varies directly as x. If x = 15 when y = 20, find x when y = 30.
Answer:
22.5
Step-by-step explanation:
y=kx
20=k15
k=1•33
30=1•33x
x=22•5
Find the volume of the composite solid.
Answer:
156 ft³
Step-by-step explanation:
Volume of the composite solid = volume of the square prism + volume of the square pyramid
✔️Volume of rectangular prism = a²h
a = 6 ft
h = 3 ft
Volume = 6²*3 = 36*3
Volume = 108 ft³
✔️Volume of square pyramid = ⅓(a²*h)
a = 6 ft
h = 4 ft
Volume = ⅓(6²*4) = ⅓(36*4)
Volume = 48 ft³
✅Volume of the composite solid = 108 + 48 = 156 ft³
What is the slope of these two points (5,-11) and (25,9)?
Answer:
[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]
Can someone help? Solve for x
8) What is one BENEFIT of using a savings account instead of a checking
account?
1 point
Your savings account will charge lower ATM fees than your checking account
Your savings account will earn interest, so the money in your account will grow
without you doing anything
Your savings account lets you write checks or pay bills easily, while it's more difficult
to use your checking account
Your savings account allows you to use online banking, while checking accounts
require you to visit the bank branch
l
Answer:
Although this isn't mathematics, the answer would be the second choice. Savings accounts earn interest over time.
Write the standard form of the equation of the circle with the graph shown to the right.
Answer:
(x+5)²+(y+5)² =4
Step-by-step explanation:
the standard equation is
(x-h)²+(y-k)²=r²
where (h, k) is the center in our case ( -5, -5) and r is the radius that in our case r=2, so substitute
(x+5)²+(y+5)²=2²
Answer:
[tex](x+5)^2+(y+5)^2=4[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and r is the radius
1) Determine the center of the circle
On the graph, we can determine that the circle is centered at the point (-5,-5). Plug this into the equation:
[tex](x-(-5))^2+(y-(-5))^2=r^2\\(x+5)^2+(y+5)^2=r^2[/tex]
2) Determine the value of r²
In the graph, we can see that the radius of the circle is equal to 2 units. Therefore, the value of r² is 4. Plug this back into the equation:
[tex](x+5)^2+(y+5)^2=4[/tex]
I hope this helps!
PLZ HELP ME WIHT THIS I BEG UU
Answer:
113.04
Step-by-step explanation:
6 x 6 x 3.14 = 113.04
formula is
R x R x pi = x
The net below can be folded to make a 3-dimensional shape. What is the surface area of the shape?
30 cm
31 cm
60 cm
62 cm
(Question is there) (Need this answer ASAP)
Answer: 18 3/64 in. cubed
Step-by-step explanation:
Since the formula for solving the volume of a rectangular prism is just:
(length)(width)(height) -> you can plug in the measurements you were given
(3 1/2 in)(1 7/8 in)(2 3/4 in) -> after multiplying, you should get: 18 3/64 in cubed
Hope this helped ~~
Esmeralda Hasn't backed it in the shape of the screw is side of the magnet to 3 inches on what is the perimeter of her magnet
Answer:
12 INCHES
Step-by-step explanation:
Esmeralda has as magnet in the shape of a square each side is 3 inches long what is the perimeter?
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
perimeter of a square = 4 x length
4 x 3 = 12 inches
Line k is parallel to line I.
which angle is congruent to <4
Answer:
∠4 ≅ ∠1
Step-by-step explanation:
they are vertical angles and vertical angles have the same measure
Answer:
<1 is equal to <4
Step-by-step explanation:
Alternate angles are equal.
Hope that this helps!