A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
the cylinder.
Formula for the cylinder = V=πr2h
Formula for the cone = 1/3πr²H
Description:
So if the cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.
Formula:
Vcone = 3Vcone
Vcylinder = 360cm³
Vcone = 1/3 360cm³ = 120cm³
Answer: 120cm³
Hope this helps.
Diego compro un libro y tres cuadernos,pago por ellos 180 solo recuerda que el libre le costó el doble de lo que le costaron los tres cuadernos juntos
Answer: Cada cuaderno cuesta 20, y el libro 120.
Step-by-step explanation:
Vamos a definir:
L = precio de un libro
C = precio de un cuaderno.
Sabemos que Diego compro un libro y tres cuadernos por 180, entonces tenemos:
1*L + 3*C = 180
También sabemos que el libro costo el doble de lo que costaron los 3 cuadernos juntos, entonces:
L = 2*(3*C) = 6*C
Tenemos un sistema de ecuaciones:
1*L + 3*C = 180
L = 6*C
Para resolverlo, podemos reemplazar la segunda ecuación en la primera, para así obtener:
1*(6*C) + 3*C = 180
6*C + 3*C = 180
9*C = 180
C = 180/9 = 20
Cada cuaderno costo 20.
Y el precio del libro se puede obtener con la ecuación:
L = 6*C = 6*20 = 120
El libro costo 120
A water tank contains 19 gallons of water. Raymond begins to add water to the tank at a rate of 7 gallons per minute. Which equation can be used to find y, the gallons of water in the tank after x minutes?
A y = 19x + 7
B y = x + 26
C y = 7x + 19
D y = 19x + 7x
Answer:
C y = 7x +19
Step-by-step explanation:
There are 19 gallons in the water tank and 7 gallons are added when you take x amount of minutes, which gives you y.
An example is 1 minute.
Y = 7(1) + 19
y = 7 + 19
y = 26
You have to remember that there are 19 gallons already in the tank and that 1 minute has passed, which means 7 gallons have been added. Thus there are 26 gallons in the water tank.
Hope this helps. :)
Answer:
I think the answer is A hopefully this helps
What are the answers here?
Answer:
1) =3
2)and 3) y-3x-2
Step-by-step explanation:
Hope that help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve the system by the method of your choice. Write your answer as a coordinate point (x,
y)
-6x + 5y = -27
- 3x + 3y = -115
The population of a town called Smallville grows by 3,000 people every year. After 7 years of the town's development, the population is 31,000 people. Find the equation for this situation, letting x represent time (in years) and y represent the town's population. Show your work below:
Mrs. Arnold took a survey of the types of pants her students were wearing. She collected the data below. What percent of her students were wearing shorts? Jeans: 14 Shorts: 9 Capris: 2
Answer:
36%
Step-by-step explanation:
Jeans: 14
Shorts: 9
Capris: 2
Total number of students = Number of Jeans + Number of Shorts + Number of Capris
Total number of students = 14 + 9 + 2 = 25
% of students wearing shorts = Number of shorts / Total number of students * 100
% of students wearing shorts = 9 / 25 * 100 = 0.36 * 100 = 36%
The air pressure P is inversely proportional to the altitude h. write the related variation equation
Step-by-step explanation:
P * h = k, where k is a real constant.
The sum of the firstnith term of series
is given by Sn = n2+ 5 n-6. Find the
general term (tn) and (+20)
Answer:
Tn = 2n+4
T20 = 44
Step-by-step explanation:
Given Sn = n²+ 5 n-6
Tn = Sn - Sn-1
Sn-1 = (n-1)² + 5(n-1) - 6
Tn = n²+ 5n-6 - ((n-1)² + 5(n-1) - 6))
Tn = n²+ 5n-6-(n²-2n+1+5n-5-6)
Tn = n²+ 5n-6-n²+2n-1-5n+5+6
Tn = 2n-7+11
Tn = 2n+4
Get the general term is 2n+4
To get the 20th term;
T20 = 2(20) + 4
T20 = 40+4
T20 = 44
Hence the 20th term of the sequence is 44
Somebody help!!! Please!!!
Answer:
y = -1 !!!!!!!!!!! :)))))))))))))
Answer:
y=-1
Step-by-step explanation:
symmetry is where it is the same on both sides, so that would be the line between the top and bottom point and because they are up and down it is a y whereas if it were side to side it would be x. it is on the left side which are negatives and it is one over to the left making it y=-1
Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of
$0.85 combined. Solve this system of inequalities graphically and determine one
possible solution.
9514 1404 393
Answer:
see attached (7 dimes, 5 nickels)
Step-by-step explanation:
The inequalities are plotted in the attachment. The solution shown is ...
(x, y) = (7, 5)
7 dimes and 5 nickels are 12 coins worth $0.90. This is the maximum number of coins, worth more than $0.85.
Triangle A is rotated 270° counterclockwise with the origin as the center of
rotation to create a new figure. Which triangle shows the new location?
Answer:
B
Step-by-step explanation:
The triangle which shows the new location would be Triangle B.
What is the rotation used?From the coordinates of XYZ transformed to coordinates of triangle X'Y'Z', we can see that the transformation pattern is;
(x, y) -----> (-y, x)
Consider the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation, Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 2: If the point is in second quadrant:
Subcase: Clockwise rotation, Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
On origin, No effect as we assumed rotation is being with respect to origin.
Now, this pattern of transformation occurs when Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure.
However, the other rotation that can be used to achieve this is a 270° counterclockwise rotation. so the correct option triangle is B.
Read more about rotation at;
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In △ABC, AB = 13.2m, BC = 6.9m and ∠ACB = 90°. H lies on AC such that ∠BHC = 46°. Find (i) ∠ABH (ii) The length of AH
Answer:
(i) ∠ABH = 14.46⁰
(ii) The length of AH = 4.6 m
Step-by-step explanation:
From the image uploaded;
Consider △ABC;
the length of b is calculated by applying Pythagoras theorem as follows;
b² = c² - a²
b² = (13.2)² - (6.9)²
b² = 126.63
b = √126.63
b = 11.25 m
Also, ∠ABC is calculated as;
[tex]Cos \ B = \frac{a^2+c^2-b^2}{2ac} \\\\Cos \ B = \frac{(6.9)^2+(13.2)^2-(11.25)^2}{2(6.9 \times13.2)}\\\\ Cos \ B = \frac{95.288}{182.16} \\\\ Cos \ B = 0.5219 \\\\B = Cos ^{-1} (0.5231)\\\\B = 58.46 ^o[/tex]
Consider △CBH, ∠CBH is calculated as;
∠CBH = 90⁰ - 46⁰ = 44⁰
(i) ∠ABH will be calculated as;
∠ABH = θ
θ + 44⁰ = ∠ABC
θ + 44⁰ = 58.46⁰
θ = 58.46⁰ - 44⁰
θ = 14.46⁰
Thus, ∠ABH = 14.46⁰
(ii) The length of AH
length HC is calculated as;
[tex]tan \ 46^o =\frac{6.9}{HC} \\\\HC = \frac{6.9}{tan \ 46^o } \\\\HC = 6.66 \ m[/tex]
length of AH = CA - HC
x = b - HC
x = 11.25 - 6.66
x = 4.6 m
length of AH = 4.6 m
You had $24 to spend on eight
raffle tickets. After buying them
you had $8. How much did each
raffle ticket cost?
Answer:
$2 each ticket is 2 dollars
The value of x is -14. Order these expressions from least to greatest:
x1−xx−1-1÷x
Answer:
-197
Step-by-step explanation:
x1-xx-1-1÷x
-14(1)+14(-14)-1-1÷-14
-14-196-1(-1÷-14)
-211+14
-197
Answer:
x-1, x, 1-x, -1/x
Step-by-step explanation:
The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of
symmetry of the transformed graph?
Answer:
x = -1
Step-by-step explanation:
The axis of symmetry of the graph [tex]y=(x-3)^2[/tex] is x=3 but,
If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:
[tex]x=3-4\\x=-1[/tex]
-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is
(-1 , -2) I attached an image so you can visualize clearly
A rectangular prism is 12 cm long, 6 cm wideand 5 cm high. What is the volume of the rectangular prism?
PLZZ HELP ME AND ONCE AGAIN THANK YOU
Answer:
2nd option
Step-by-step explanation:
the domain is from 0 to infinity
we count 0 because
f(0)=1 (just look in the graph)
so
[tex]x \geq 0[/tex]
which is the 2nd option
What is an equation of the line that passes through the points (-6,-3) and (-3,-5)
Answer:
y = - [tex]\frac{2}{3}[/tex] x - 7
Step-by-step explanation:
A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~
( - 6, - 3 )
( - 3, - 5 )
m = [tex]\frac{-5+3}{-3+6}[/tex] = - [tex]\frac{2}{3}[/tex]
y + 5 = - [tex]\frac{2}{3}[/tex] ( x + 3)
y + 5 = - [tex]\frac{2}{3}[/tex] x - 2
y = - [tex]\frac{2}{3}[/tex] x - 7
6. 5x + 3x + 38+5x-10 180
Answer:
38
Step-by-step explanation:
Simplifying
6 + -5x + -3x = 38
Combine like terms: -5x + -3x = -8x
6 + -8x = 38
Solving
6 + -8x = 38
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -8x = 38 + -6
Combine like terms: 6 + -6 = 0
0 + -8x = 38 + -6
-8x = 38 + -6
Combine like terms: 38 + -6 = 32
-8x = 32
Divide each side by '-8'.
x = -4
Simplifying
x = -4
Answer:
I think the answer is 14.5x-132
Step-by-step explanation:
6.5x+3x+5x=14.5x
38+10-180=-132
=14.5x-132
PLEASE SOMEONE DO THIS FOR ME: Determine the x - and y - intercepts of the following linear function: 4x + 8y =16
4x+8y=16
4x/4+8y/8=16÷4/8
x+y=16×8/4
x+y=16×2
x+y=32
If an object on earth weighs 42 lbs, what is its weight on the moon?
Answer:
6.93 lbs.
Step-by-step explanation:
The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.
I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.
Hope this helps! :)
PLS HELP !!
A computer normally sells for $520. During a sale, the computer is
discounted 15% off. How much will it cost to buy the computer during the
sale? (Sale Price)
Answer:
$442
Step-by-step explanation:
Multiply the sales price by the discount percentage. This is the total discount that was taken off.
$520 x 15% = $78.
Subtract the discount amount from the sales price. This gives you the amount that the computer costs after the discount.
$520 - $78 = $442
The computer costs $442.
TVs are measured by
their diagonals. If a 60
inch TV has a height of
24 inches, how wide is
the screen?
Answer:
Step-by-step explanation:
Diagonal is 60 inches, height is 24 inches so
60^2 = 24^2 + width^2
6.25 inches
solve 16y² = 36 using the square root property
Answer:
2/3-3/2
Step-by-step explanation:
help me please what is i really need help
Step-by-step explanation: -6.3 x 8 = -50.4
Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25
Answer:
0.95
Step-by-step explanation:
[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]
[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]
I need help solving
Answer:
well if you're looking for angles then
angle ADB = 30°
angle CBD = 80°
angle CDB = 120°
but they asked to classify triangle ADC ,whose measurements are 90° , 40° and 50° ...so of they're asking what type of triangle then it is a right angled triangle.
Answer:
Triangle ADC is a right triangle.
Step-by-step explanation:
Triangles Classification
An acute triangle is a triangle with three acute angles or with less than 90° each.
An obtuse triangle has one obtuse angle or more than 90°.
A right triangle has one right angle of 90°
From the figure, we can see angle D is marked as a right angle (90°), thus triangle ADC is a right triangle.
To complete the answer, triangle ADB is obtuse (has an angle of 100°), and triangle ABD is acute.
Simplify the expression.
. [tex]$8x-5+2x$[/tex]
Answer:
[tex]10x - 5[/tex]
Step-by-step explanation:
Combine like terms
Drag the tiles to the correct boxes. Not all tiles will be used.
What are the domain and the range of function f?
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
How to determine the domain and the range
In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.
By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
To learn more on rational functions: https://brainly.com/question/27914791
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Answer:
Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)
Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)
Step-by-step explanation:
100% on the test