Answer:
volume 1 =763 cm3
volume 2 = 6,104 cm3
Second volume is 8 times greater than the first volume.
Surface area 1 = 466 cm2
surface area 2 =1,865 cm2
second surface area is 4 times greater than the first surface area .
Step-by-step explanation:
Volume of a cylinder: π radius^2 x height
Radius = diameter /2 = 9/2 = 4.5
V = 3.14 x 4.5^2 x 12 = 763 cm3
Surface area: (3.14 r^2)2 + 2(π x radius x height)
Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2
Since the second canister is double the size:
Radius = 4.5 x 2 = 9
Height = 12 x 2 =24
V = 3.14 x 9^2 x 24 = 6,104 cm3
Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2
Dividing the second volume by the first one:
6,104/ 763 = 8
Second volume is 8 times greater than the first volume.
Dividing the second surface area by the first one:
1865/466 = 4
second surface area is 4 times greater than the first surface area .
Transversal m intersects lines a, b, and c such that m∠1=42° and m∠2=140° and m∠3=138°. Which lines are parallel?
Answer:
Lines a and c.
Step-by-step explanation:
m∠1=42° and m∠3=138°. 42 + 138 = 180, so the two angles form a 180° angle. That means that lines a and c are parallel.
Hope this helps!
Answer:A is parallel to C
Step-by-step explanation:
Statement | Reason
42*+138*=180* |Corresponding angles
There fore A||C aka a parallel to c
42*+140*=180* | Same side int. angles
Therefore A no || B aka A is not parallel to B
138*=140* | Same side int. Angles
Therefore B And C are not parallel and A,B. and C are not parallel
The answer is A||C or A is parallel to C
Simplify tan theta times sin theta
Answer:
tan θ × sin θ
From trigonometric identities
[tex] \tan(θ) = \frac{ \sin(θ) }{ \cos(θ) } [/tex]
So we have
[tex] \frac{ \sin(θ) }{ \cos(θ) } \times \sin(θ) [/tex]
We have the final answer as
[tex] \frac{ \sin(θ)^{2} }{ \cos(θ) } [/tex]
Hope this helps you
A shoe salesperson earns a 5% bonus on weekly sales over $3,000. Consider these functions to answer the following questions. f(x) = x – 3,000 g(x) = 0.05x Part A In your own words, explain what each of the functions represents.
Answer:
g(x)= 0.05x represents the amount of bonus, f(x)=x-3,000 represents weekly sales over $3,000.
Step-by-step explanation:
The function f(x) represents how much money earned by sales person weekly over $3000.
And function g(x) represents the amount of bonus earned by salesperson.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.
According to the given question.
The percent of bonus earned by salesperson weekly on sales over $3,000 is 5%.
Also, we have two functions.
[tex]f(x) = x - 3000[/tex]
and [tex]g(x) = 0.05x[/tex]
For the function, f(x) if x is the amount of money earned salesperson in a week, then f(x) will represents how much money salesperson earned apart form $3000.
And the function g(x) represents the amount of bonus earned by the salesperson.
Hence, the function f(x) represents how much money earned by sales person weekly over $3000. And function g(x) represents the amount of bonus earned by salesperson.
Find out more information about function here:
https://brainly.com/question/12431044
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Simplify help pls: 13x(3x-32y)
Answer:
[tex]39x^2-416xy[/tex]
Step-by-step explanation:
To simplify, we have to distribute the 13x to 3x and -32y. To distribute, we multiply 13x with the first number, and then the second.
[tex]13x*3x=39x^2\\13x-32y=-416xy\\39x^2-416xy[/tex]
The first number is squared ([tex]39x^2[/tex]) because when two [tex]x[/tex]s get multiplied by each other, then it creates a square. We never do this: [tex]39xx[/tex]
Our answer is:
[tex]39x^2-416xy[/tex]
Hope this helps!
Answer:
[tex]\boxed{39x^2-416xy}[/tex]
Step-by-step explanation:
[tex]13x(3x-32y)[/tex]
First step into solving the problem will be to apply the distributive law.
[tex]13x(3x)+13x(-32y)[/tex]
Multiply the terms and simplify.
[tex]39x^2 +-416xy[/tex]
3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the number 1, 9 are marked with the number 2 and 6 are marked with number 3. There are prizes for those who pick a duck with the number 3 on it. What is the probability of Molly picking a duck with the number 3 on it? Give your answer as a fraction in its lowest terms.
Answer: 1/5
Step-by-step explanation:
Given the following :
Total number of ducks in pool = 30
Mark 1 = 15 ducks
Mark 2 = 9 ducks
Mark 3 = 6 ducks
Probability of picking a duck with Mark 3:
Probability = (number of required outcomes / total possible outcomes)
Number of required outcomes = number of ducks with mark 3 = 6 ducks
P(picking a duck with Mark 3) = 6/30
6/30 = 1/5
= 1/5
Please please help me
Answer:
A = 189 cm²Step-by-step explanation:
The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.
H = 9 cm
S = 21 cm
A = S•H = 21 cm • 9 cm = 189 cm²
In 1833 a ship arrived inCalcutta with 120 tons remaining of its cargo of ice. One third of the original cargo was lost because it had melted on the voyage. How many tons of ice was the ship carrying when it set sail? A.40 B.80 C.120 D.150 E.180
Answer: 180
Step-by-step explanation:
Let the tons of ice the ship was carrying when it set sail be y.
We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.
This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:
2/3 × y = 120
2y/3 = 120
2y = 120 × 3
2y = 360
y = 360/2
y = 180
The ship was carrying 180 tons of ice when it set sail
Please help me with this answer!! I am really stuck...No nonsense answers please.
Answer:
19
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< DBG = 1/2 ( DG)
< DBG = 1/2 ( 360 - BD - BG)
= 1/2 ( 360 - 172 - 150)
= 1/2 (38)
= 19
What equation represents the slope intercept from the line below y intercept ( 0, 2) slope -3/7 ( PLEASE HELP FAST TOP ANSWER GETS BRAINLIEST!!)
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
y-intercept = b = 2 [y-intercept is when x = 0]
Slope = m = -3/7
Putting this in slope-intercept equation
=> [tex]y = mx+b[/tex]
=> [tex]y = -\frac{3}{7}x + 2[/tex]
Answer:
a
Step-by-step explanation:
Guys.... Help me find it... Wether it is true or false.. With reasons 1rst one is BRAINLIEST.... Only the one who gave with REASON
Answer:
false
Step-by-step explanation:
x/11 +1=7/15
x/11 =7/15 - 1
x/11 = -8/15
They are unequal .So, It is false
Answer:
C) False
D) True
Step-by-step explanation:
C. False
[tex] \frac{x}{11} + 1 = \frac{7}{15} = \frac{x}{11} = \frac{7}{15} + 1 = \frac{7 + 15}{15} = \frac{22}{15} [/tex]
We can see that they are never equal.
D. True
Both have 'x' and 'y' as they terms.
Hope this helps ;) ❤❤❤
Help me please ty ty ♀️❤️ Appreciate it
Answer:
Pretty Simple!
Now that you know about ratios and all that, this is pretty tame compared to the last problem.
Now, the problem is talking 2D(2 Dimensions)
The ratio is not going to work because it has only one parameter.
Thus, we need to square it!
[tex](\frac{1}{20})^{2} =\frac{1}{400}[/tex]
Thus, we have your correct ratio.
Now, we only need to do the same thing for the triangle problem. Meaning that, we need to compare the ratios, with x as the thing we are looking for.
[tex]\frac{1}{400}=\frac{219}{x} \\x=87,600[/tex]
See? X is practically handed to us.
Hope this helps!
The final exam had three times as many points as the first test, plus a bonus question worth 25 points . The final exam was worth 160 points (including the bonus). How many points was the first test worth?
Answer:
45
Step-by-step explanation:
The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.
Answer:
45
Step-by-step explanation:
The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.
The volume of the Sun is about 1.41 x 10^18 cubic kilometers. The volume of Earth is about 1.09 x 10^12 cubic kilometers. The number of Earths that can fit inside the Sun can be found by dividing the Sun's volume by Earth's volume. Find this quotient and express the answer in scientific notation.
Answer:
1290000
Step-by-step explanation: Given that
The volume of the Sun is about = 1.41 x 10^18 cubic kilometers.
The volume of Earth is about 1.09 x 10^12 cubic kilometers.
The number of Earths that can fit inside the Sun can be found by dividing the Sun's volume by Earth's volume.
= Volume of Sun ÷ Volume of the Earth
= 1.41 x 10^18 cubic km/1.09 x 10^12 cubic km
= 1.41 x 10^18/1.09 x 10^12
=(1.42/1.09)× 10^18-12
= 1.29×10^6
n is 1.29×10^6.
Hence the number of Earth that can be fitted in the Sun is 1290000
OMGGG PLS HELP PLS I WILL GIVE YOU POINTS AND STUFF PLS HELP MEH Figure A is a scale image of Figure B. B: side length x A: side length 10 Figure A maps to Figure B with a scale factor of 0.75. What is the value of x?
try this answer good luck
Answer:
Answer: 1/2
Step-by-step explanation:
Given : Figure B is a scaled copy of Figure A.
We know that the scale factor is the ratio of the corresponding sides of two similar figures.
From , the graph we assume that that one point = one unit of length.
Then, the dimension of one side of figure A = 4 units and the dimension of corresponding side of Figure B = 2.
Then, the scale factor is given by:
k = 2/4 = 1/2
Hence, the scale factor is 1/2
State if the two triangles are congruent. If they are, state how you know.
Answer:
yes, by AAS there are two sides of corresponding angles
Step-by-step explanation:
HOPE this helps...
Answer:
Last option..
Yes by AAS
Step-by-step explanation:
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
Therefore by this statement we understand that these two are the sides of the corresponding angles!
Hope it helps!
The inequality x > y is satisfied by point (5,5).
true false
Answer:
There is not enough information.
Step-by-step explanation:
What is the sum of the measures of the exterior angles of this triangle
Answer:
360°
Step-by-step explanation:
The sum of all the exterior angles of a triangle is equal to 360 degrees.
Answer:
It would be 360*
Step-by-step explanation:
112+129+119
Please answer this question only if you know correct answer please
Answer:
UV=10.5
Step-by-step explanation:
in triangle XUV it is a right angle at U
sin41=opp/hyp
sin 4` =UV/16
UV=16sin41°
UV=10.5
Please answer it now in two minutes
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
find the area of equilateral triangle whose median is X cm
options:
a.x^2
b.(x^2)/2
c.(x^2)/√3
d.(x^2)/3
DatGuy! Sekkrit! Wishing! Anyone? Find the discriminant of 3x²+5x-2 = 0
Answer:
49
Step-by-step explanation:
[tex]3x^2+5x-2 = 0[/tex]
Apply discriminant formula : [tex]D = b^2- 4ac[/tex]
[tex]D=discriminant\\b=5\\a=3\\c=-2[/tex]
[tex]D = b^2- 4ac[/tex]
Plug in the values for a, b, and c.
[tex]D = 5^2- 4(3)(-2)[/tex]
Evaluate.
[tex]D = 25- 12(-2)[/tex]
[tex]D = 25- - 24[/tex]
[tex]D=25+24[/tex]
[tex]D=49[/tex]
Answer:
49
Step-by-step explanation:
3x²+5x-2 = 0
This is in the form
ax^2 + bx + c=0
a=3 b=5 c = -2
The discriminant is
b^2 -4ac
5^2 -4(3) (-2)
25 + 24
49
The discriminant is 49
which system of linear inequalities is represented by this graphed solution?
A. y > -1/2x + 2
y ≤ 3x - 1
B. y < -1/2x + 2
y ≥ 3x - 1
C. y > -2x + 2
y ≤ 1/3x - 1
D. y ≤ -1/2x + 2
y < 3x - 1
Answer:
B. y < -1/2x + 2 y ≥ 3x - 1Step-by-step explanation:
The gray shadowed area is below descending function and the line is dashed.
It means coefficient x is m<0 and the sign of inequality is y <
So the inequality wich fit it is y < -1/2x + 2
The blue shadowed area is above ascending function and the line is uninterrupted.
It means coefficient x is m>0 and the sign of inequality is y ≥
So the second inequality of system (y ≥ 3x - 1) also match.
The system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
The standard equation of a line is expressed as y = mx + b;
m is the slope of the lineb is the y-intercept of the lineFor the blue line, the y-intercept is at y = -1. For the slope passing through (0, -1) and (2, 5):
m = 5+1/2-0
m= 6/2
m = 3
The equation of the line is y = 3x - 1
Since the line is dashed and the left part shaded, the inequality expression will be y < 3x - 1
For the black line, the y-intercept is at y = 2. For the slope passing through (0, 2) and (4, 0):
m = 0-2/4-0
m= -2/4
m = -1/2
The equation of the line is y = -1/2x + 2
Since the line is solid and the lower part shaded, the inequality expression will be y ≤ -1/2x + 2
Hence the system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
Learn more on inequality graph here: https://brainly.com/question/9774970
What does b= and c= and d=
Answer:
more explanation ?
Step-by-step explanation:
In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.
Answer:
18m square
Step-by-step explanation:
Formula for rectangular- based pyramid is L x W x H divided by 3
= 3 x 5 x 3.6 divided by 3 = 18
So you would need 18 m square for the sculpture
the volume v (in cubic inches) of a rectangular cardboard box is modeled by the function v(x)= (18-2x)(3-2x)x, where x is the width (in inches) of the box. Determine the values of x for which the model makes sense. Explain your reasoning. (WILL GIVE BRAINLY FOR BEST ANSWER!!!)
Answer:
0 < x < 3/2
Step-by-step explanation:
The dimensions are positive when ...
18 -2x > 0 ⇒ x < 9
3 -2x > 0 ⇒ x < 3/2
x > 0
So, the values of x where the model makes sense are ...
0 < x < 3/2
: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2
Answer:
[tex]x=0\\y=2[/tex]
Step-by-step explanation:
El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.
Nuestras ecuaciones son:
[tex]-x+3y=6\\x+y=2[/tex]
En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.
Al sumarlas tenemos que:
[tex]4y=8\\y=2[/tex]
Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.
[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]
Por lo tanto, x = 0 y y = 2
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
Answer:
79%
Step-by-step explanation:
To find the median, you need to arrange the numbers in ascending order. Than pick the middle number. If there are two middle numbers then you add them together and then divide by 2.
Answer:
79%
Step-by-step explanation:
an isosceles triangle has a hypotenuse that measures 12√2. What is the area of that triangle
here is your formula then
Determine the equation of a line that passes through A(2,5) and is parallel to the line defined by 3x−y+12=0. State the equation in slope y-intercept form
Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - y + 12 = 0 ( subtract 3x + 12 from both sides )
- y = - 3x - 12 ( multiply through by - 1 )
y = 3x + 12 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , thus
y = 3x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 3x - 1 ← equation of parallel line
What is an equation of the line that passes through the points (3,−4) and (3,8)
Answer:
x = 3.
Step-by-step explanation:
In this case, the x-value never changes, no matter the value of the y. So, x will always equal 3. Your equation is x = 3.
Hope this helps!
Answer:
x=3
Step-by-step explanation: