Your goal is to fill a right circular cylinder shaped bucket with water. The bucket has a radius of 6 inches and a height of 12 inches. If you use a right circular cone with a 3 inch radius and a 4 inch height, how many scoops of water will it take to fill the bucket ?
Answer:
36
Step-by-step explanation:
to answer this question :
determine the volume of the cylinder and the cone. Divide the volume of the cylinder by the volume of the coneVolume of a cylinder = nr^2h
n = 22/7
r = radius = 6
h = height = 12
(22/7) x (6^2) x (12) = 1357.71 in^3
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius = 3
h = height =
4
(1/3) x (22/7) x (3^2) x (4) = 37.71
1357.71 / 37.71 = 36 times
Landon used a semicirce, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
- 10 cm
Which is the best estimate of the area of the figure in square centimeters?
A S2 cm
B 44 cm
C 26 cm
D 38 cm
Answer: the answer will be 38 centimeters
Step-by-step explanation:
These two triangles are similar. Find the value of x.
4.5
6
Х
4
7.5
an
5
Answer:
The value of x is 3
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
4.5/7.5 = x/5
5 * 4.5 = 7.5 * x
x = (5 * 4.5)/7.5
x = 3
i need more help pls and thx to who ever help
Jeremy ran 16 miles less than Kacie last week. Jeremey ran 8 miles. How many miles did Kacie run?
Answer:
24 miles
Step-by-step explanation:
if J (Jeremy) ran 16 less than K(Kacie) and J ran 8 miles add 8 and 16 together which is 24 to get the answer.
hope this helped
Answer:
24 miles
Step-by-step explanation:
let what Kacie ran be x miles
x-16=8, 16 being the difference of what they ran, 8 being how many miles jeremey ran
that makes x=24 because 16+8=24
If a circle is cut from a square piece of fabric, how much fabric would be leftover? Use 3.14 for pi. (round to nearest hundredth).
Answer:
0.22 square units
Step-by-step explanation:
Area of the left over fabric = Area of the square piece - Area of the circle
let the side length of the square piece be 1 unit
Area of the square piece = 1 * 1
Area of the square piece = 1 square units
Area of the circle = πd²/4
d is the diameter of the circle = 1 unit (equivalent to the side length of the square)
Area of the circle = π(1)²/4
Area of the circle = 3.14/4
Area of the circle = 0.785square units
Area of the left over fabric = 1- 0785
Area of the left over fabric = 0.215 square units
Hence the amount of fabric that would be leftover is 0.22 square units
Answer:
0.22 square units
Step-by-step explanation:
Hope this helps
A right triangle has one leg with a length of 1 inch. In addition, the length of the hypotenuse is 1.5 times greater than the length of the other leg. Determine the measurements of the acute angles in the right triangle.
Answer:
25.5 inches is the correct answer
In the terminal side of an angle in standard position lies on -4y=3x and x>0, find the exact values of the trigonometric functions of 0
Answer:
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
Tan ∅ = - 3/4
sin ∅ = -3/5
cos ∅ =4/5
Step-by-step explanation:
Given : -4y = 3x , x > 0
i.e. 3x + 4y = 0 , x >0
4y = -3x ∴ y = - 3/4 x
The values of trigonometric functions of ∅ are
Tan ∅ = opposite / adjacent
= - 3/4 ( given that y = slope which is = Tan ∅ )
now we will find the hypothenuse ( c )
c^2 = a^2 + b^2 = 9 + 16 = 25
therefore ; c = √25 = 5
hence the trig functions are :
sin ∅ = -3/5
cos ∅ =4/5
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
how much fencing is required to enclosed a circular garden whose radius is 14 m? use 22/7 for π
Answer:
[tex]circumference = 2\pi \: r \\ = 2 \times \frac{22}{7} \times 14 \\ 88 \: m \: fence[/tex]
Can someone assist me with this?
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y \:} [/tex]
Find the ratio of x to y.
Answer:
29: 7
Step-by-step explanation:
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]
Cross multiply:
[tex]8(x + 3y) = 5(3x - y)[/tex]
Expand bracket:
[tex]8x + 24y = 15x - 5y[/tex]
Bring x terms to 1 side, y terms to the other:
[tex]15x - 8x = 24y + 5y[/tex]
Simplify:
[tex]7x = 29y[/tex]
Divide by 7 on both sides:
[tex]x = \frac{29}{7} y[/tex]
Divide both sides by y:
[tex] \frac{x}{y} = \frac{29}{7} [/tex]
∴ The ratio of x to y is 29:7.
helpoooooo please hhhb
Answer:
Step-by-step explanation:
that vector is in the 4th quadrent. This means that it will be between 270 and 360 degrees.
setting up directions over the graph (like a compass), the vector would be between East and South
using the diagram below it would most likly be south of east and 350 degrees
Find the value of x in the triangle shown below.
56°
31
x
WHAT WOULD THIS BE!!!
no scammers please !!
The table below shows the amount of money Michelle has
in her savings account each month.
Month
0
1
2
3
Savings ($$)
50
65
80
95
Michelle deposited the same amount every week. Based on
this information, which statement about the table is true?
A.
The slope represents the total amount of money in
Michelle's savings account. The slope is $50.
B.
The slope represents the amount of money Michelle
deposited each month. The slope is $15.
C.
The slope represents the amount of money Michelle
began with in her savings account. The slope is $50.
D.
The slope represents the number of months Michelle
saved. The slope is 3
6th grade math help me pleaseee
-8y+4
-2y-6y=-8y
7-3=4
-8y+4
x^(2)-8x=-7
Please show work.
Answer:
This equation has two solutions.
1 solution is: x - 1
Solution #2 is : x - 7
Step-by-step explanation:
1. Move the constant to the left. We end up with x^2 - 8x +7 = 0
2. Rewrite the expression: x^2 - x - 7x + 7 = 0
3. Factor the expressions: x * (x-1) -7(x-1) = 0
4. Separate into possible cases : (x-1) * (x-7) = 0
5. Solve the equation(s): x-1 = 0
x-7 = 0
6. Possible solutions are as follows: x-1 OR x-7
29*9
It's too short. Write at least 20 characters to get a great answer.
Answer:
261
Step-by-step explanation:
which table shows the function y=2x+4?
A teacher buys 6.25 ounces of a compound for an experiment. The compound costs $4.12 per ounce. The teacher pays with a $50 bill. How much change does the teacher receive?
Answer:
$24.25
Step-by-step explanation:
Given data
We are told that 1 ounce cost $4.12
Hence 6.25 ounces will cost x
cross multiply
x= 6.25*4.12
x=$25.75
This means that the cost of the 6.25 ounces is $25.75
If the teacher pays with a $50 bill, then her change is
=50-25.75
=$24.25
Please help! The last time that Damitrius flew to visit his grandmother in Oregon, the plane ticket cost $380. He recently read in the newspaper that plane tickets had been marked up 30%. How much will he have to pay for a ticket for his upcoming trip?
Answer:
The answer is 494 dollars
Step-by-step explanation
30% of 380 is 114 and then you add 380 to 114 and you get 494 dollars
What is the area of these trapezoid
Answer:
1. 54ft squared 2. 48 cm squared
Step-by-step explanation:
warm up:Area.how many square units will it take to fill up this rectangle?
Answer:
12
Step-by-step explanation:
here's your solution
=> area of rectangle = length*width
=> area 4*3 = 12.squnit
=> area of square = side^2
=> area = 1.squnit
=> Number of square = area of rectangle/area of square
=> no of square = 12/1
=>. 12
Find the cosine of ZS.
37
S
T T
12
35
R
Simplify your answer and write it as a proper
fraction, improper fraction, or whole number.
COS (S) =
Geometry
Step-by-step explanation:
cos=adj/hyp cos=12/37=cos-1 0.324=71.09°
24. Solve the system of equations below: 2x - 6y = - 12 x+2y = 14
how do I do this I don't get it please help
Answer:
(x,y) (28/19, -35/19)
hope this helps
Answer:
x = 6, y = 4
Step-by-step explanation:
multiply the equation x + 2y = 14 by two then subtract the equation 2x - 6y = - 12 to eliminate x and solve for y:
×2 => 2x + 4y = 28
-) 2x - 6y = -12
_________________
10y = 40
=> y = 4
substitute y = 4 to either of the equation 2x - 6y = - 12 OR x + 2y = 14 to solve for x:
=> 2x - 6(4) = -12
=> 2x = 12
=> x = 6
Which equation represents a line that passes through (2, -0.5) and has a slope of 3? Oy - 2 = 3(x+ -0.5) 0 y 3= 2(x + 0.5) 0y + 7 = 3(x - 2) Oy + 7 + 2(x - 3)
Answer:
y=3x-6.5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-0.5)=3(x-2)
y+0.5=3x-6
y=3x-6-0.5
y=3x-6.5
The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.
What is equation of a line?The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.
The equation of a line passing through the point and slope is given as:
(y - y₁) = m (x - x₁)
(y - -( 0.5)) = 3 ( x - 2)
(y + 0.5) = 3 (x - 2)
(y + 1/2) = 3 (x - 2)
or
y + 0.5 = 3x - 6
y = 3x - 6.5
Thus the correct option is D.
To know more about equation of a line, visit;
https://brainly.com/question/29201769
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Your question is incomplete most probably your full question was:
Which equation represents a line that passes through (2, -0.5) and has a slope of 3?
A. y - 2 = 3( x + 1/2)
B. y- 3 = 2 ( x+ 1/2)
C. y + 1/2 = 3 (x - 2)
D. y + 1/2 = 2 (x -3)
the sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms is -165. Find the 18th term of the sequence
Answer:
a₁₈ = - 31Step-by-step explanation:
[tex]S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31[/tex]
What is the name ?
Help please
Answer:
chord
Step-by-step explanation:
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc
Answer for a brainliest.
Answer:
9.8596
Step-by-step explanation:
no explanation just that An apple, potato, and onion all taste the same if you eat them with your nose plugged and Bananas are curved because they grow towards the sun ☀
Answer:
GF = 7
Step-by-step explanation:
lol, hope this helps
8 - 3 = 9
what is the value of g in the equation?
Answer:
Hi! The answer to your question is [tex]g = 0[/tex]
Step-by-step explanation:
In the equation there is no g so g is nonexistant so it equals 0
☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
What is m∠X to the nearest degree
A. 44
B. 36
C. 46
D. 34
Answer:
Step-by-step explanation:
cos(∠X) = adj./hyp.
arccos(adj./hyp.) = ∠X
arccos(13/18) = 43.761...≈ 43°