Answer:
[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]
[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]
[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]
[tex]9 = \frac{h}{10} [/tex]
h=90
The height of the cylinder B is 30 cm.
Given that:
Both cylinders A and B are similar. Similarity applies proportionate size which means we have
height of cylinder A : radius of cylinder A :: height of cylinder B: radius of cylinder B
or symbolically we have:
[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]
or we can say we have:
[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]
Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]
Thus from the formula of surface area of cylinder , we have below equation for cylinder A:
[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]
Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:
[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]
Thus height of the cylinder B is 30 cm.
For more information, refer to this link:
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F(x)= 3x^2+5x-8. Solve the quadratic equation
Answer:
[tex]\bold{x_1=1\ ,\quad x_2=-\dfrac83}[/tex]
Step-by-step explanation:
[tex]3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83[/tex]
What do the two lines in the graph below have in common?
Answer: Parallel and same slope
Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.
branliest plssss :)
The measure of an angle is 108°. What is the measure of a supplementary angle?
Answer:
72 degrees
Step-by-step explanation:
180-108=72
where I got 180: a supplementary angle is 180 degrees
If 3x - 8 = 9x+5/2, what is the value of x+ 7?
See attachment for math work and answer.
Find an ordered pair (x,y) that is a solution to the equation.
x-2y=6
[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given linear equⁿ : x - 2y = 6 .
So , on drawing its graph , the points though which it passes , the coordinates of that particular point will be a solution for this linear equⁿ .
Here , taking the given equⁿ & drawing its graph ,
⇒ x - 2y = 6 .
⇒ x = 6 + 2y .
Now , for a given value of y , x will also have some values .
[tex]\boxed{\begin{tabular}{|c|c|c|}\cline{1-3} \bf x & 6 & 8 \\ \cline{1-3} \bf y & 0 & 1 \\\cline{1-3} \end{tabular}}[/tex]
Now , it's clear that the required order pair which will be solution of the equⁿ can be ( 6 , 0 ) or ( 8 , 1 ) . But since it is a straight line it will have infinite number of solutions .
[ Also Refer to graph in the attachment ]
The ordered pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).
Given that,
Equation; [tex]\rm x-2y =6[/tex]
We have to determine,
An ordered pair (x, y) is a solution to the equation?
According to the question,
An ordered pair refers to a number written in a certain order. An ordered pair is used to show the position on a graph,
Where the "x" (horizontal) value is first, and the "y" (vertical) value is second. Also in the co-ordinate system, ordered pair is used to locate a point.
The points through which it passes, the coordinates of that particular point will be a solution for this linear equation.
Here, taking the given equation & drawing its graph,
Equation; [tex]\rm x-2y =6[/tex]
The equation can also be written as,
[tex]\rm x-2y =6\\\\x = 6+2y[/tex]
An ordered pair of the solution is found when substitute y = 0,
[tex]\rm x = 6+2y \\\\x= 6+2(0)\\\\x = 6+0\\\\x = 6[/tex]
And another ordered pair of the solution is found when substitute y = 1,
[tex]\rm x = 6+2y \\\\x= 6+2(1)\\\\x = 6+2\\\\x = 8[/tex]
Hence, the required order pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).
For more details refer to the link given below.
https://brainly.com/question/12926248
Which steps should be followed to write an equivalent ratio to find 2% of 6700? Write 2% as the ratio StartFraction 200 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (20)(67) = 1340. Write 2% as the ratio StartFraction 20 Over 100 EndFraction. Write the equivalent ratio StartFraction 6700 Over question mark EndFraction. (20)(335) = 6700, so (100)(335) = 33,500. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (2)(67) = 134. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(6.7) = 6700, so (20)(6.7) = 13.4
Answer:
Step-by-step explanation:
To evaluate the expression 2% 0f 6700, we can follow the steps;
2% = 2/100
6700 = 67(100)
2% of 6700 = 2/100 * 67(100)
The 10 at the numerator will cancel out that at the denominator
2/100 * 67(100) = 2(67)
2(67) = 134
Answer:
Write 2% as the ratio 2/100. Write the equivalent ratio_?_ . (100)(67)= 6700, so (2)(67)=134
6700
Step-by-step explanation: Just did it on edg 2020. IF THIS HELPS IT IS C.
I NEED HELP PLEASE HELP IF YOU CAN ASAP
Answer:
C. None of these
Step-by-step explanation:
Find the distance between thE two coordinates A(2,6),N(5, 10)
Using it's formula, the distance between the points A(2,6) and N(5,10) is of 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For this problem, the points are A(2,6) and N(5,10), hence the distance is given by:
[tex]D = \sqrt{(5 - 2)^2+(10 - 6)^2}[/tex]
D = sqrt(3² + 4²)
D = sqrt(25)
D = 5.
The distance between the points A(2,6) and N(5,10) is of 5 units.
More can be learned about the distance between two points at https://brainly.com/question/18345417
#SPJ1
- 1 1/4 divided by 36
Answer plz x thanks x
to solve this you would use pythagorean theorm which is a^2+b^2=c^2.
The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.
of one
has 30 days
The month of November
sunday
day is chosen at random, what is the
probability that was a sunday
Answer:
1/6 or 16 %
Step-by-step explanation:
hope this helps
Answer:
We know that
November has 30 days, which means 4 weeks and 2 days.
Step-by-step explanation:
Now, 4 weeks will contain 4 Sunday.
The remaining 2 days may be :
1. Sunday and Monday
2. Monday and Tuesday
3. Tuesday and Wednesday
4. Wednesday and Thursday
5. Thursday and Friday
6. Friday and Saturday
7. Saturday and Sunday
Total number of possible outcomes = 7
Now, favourable outcomes are : Sunday and Monday, Saturday and Sunday
Number of favourable outcomes = 2
Required probability (P)= Number of favourable outcomes /Total number of possible outcomes
P = 2/7
How many degrees are in one interior angle of a regular octagon?
Answer:
135
Step-by-step explanation:
this is the formula:
to find the sum of the interor angles of any polygon
180(n-2)
n= the number of sides a polygon has
you can find each indivual angle value or measure by dividing that sum you get by n
Answer:
135 degrees :)
Step-by-step explanation:
what is the value of the power a if 5a = 1/125?
Answer:
If
5
a
=
1
125
, find the value of a?
Step-by-step explanation:
There is a base f
5
on the left side, so write the denominator on the right as a base of
5
as well.
5
a
=
1
125
5
a
=
1
5
3
Move the base to the numerator.
5
a
=
5
−
3
If the bases are equal, the indices are equal:
∴
a
=
−
3
log 8-log 4/log 4-log 2
Answer:
-0.39794000867
Step-by-step explanation:
This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as exponentiation. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth power. Also this is totally the answer
Answer:
1
Step-by-step explanation:
[tex]\frac{log_{10}(2) }{log_{10}(4)-log_{10}(2) }[/tex]
[tex]\frac{log_{10}(2)}{2log_{10}(2)-log_{10}(2) }[/tex]
Add similar elements [tex]\frac{log_{10}(2) }{log_{10}(2) }[/tex]
Apply rule [tex]\frac{a}{a}=1[/tex]
=1
:)Hope you enjoy this:)The number of fish in a lake triples every 5 years. is It linear or exponential
Answer:
This would be linear.
Step-by-step explanation:
Linear would be multiplying by a number.
Exponential would be multiplying to a power.
x/8 -4 =7/16 x=
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
Exact form: x = [tex]\frac{-64}{5}[/tex]
Decimal form: x = -12.8
Mixed number form: x = -12[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
hope this helps :)
Answer:
x = - [tex]\frac{64}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )
2x - 64 = 7x ( subtract 2x from both sides )
- 64 = 5x ( divide both sides by 5 )
- [tex]\frac{64}{5}[/tex] = x
In the diagram below of AACD, DB is a median to AC, and AB = DB.
D
A
B
c
If mZDAB = 32°, what is mZBDC?
(1) 320
(3) 58°
(2) 520
(4) 64°
Answer:
it will be (3)
Step-by-step explanation:
since DB is a median
then DB= half AC , AB=BC
then AB=BD
then the two triangles are isosceles
The required m∠BDC is 32° .
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
According to the given question ;
DB is a median;
By the symmetry ;
Then DB = half AC ,
= AB = BC
Then= AB = BD
In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.
Then the two triangles are isosceles.
Means m∠DAB = m∠BDC = 32°
For the more information about the properties of isosceles triangle click the link given below.
https://brainly.in/question/13106654
how do i graph 2x+4y=12
Answer:
(0,3) (6,0)
Step-by-step explanation:
PLZZZ I NEED HELPP THANK YOU SO MUCH
Answer: A.) B.) D.)
Step-by-step explanation:
It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.
13. Belle is buying pizzas for her daughter's birthday party, using the prices in the table. Which
equation best describes the relationship between the total cost c and the number of pizzas p?
Pizzas
Total Cost ($)
5
26.25
10
52.50
15
78.75
a) c = 26.25p
c) c = 5.25p
b) c = p + 26.25
d) c = 6p - 3.75
Can someone check to see if I got this right?!??
Answer:
yes!
Step-by-step explanation:
hi, that is correct. 3800 is a constant, meaning it is consistent and the initial height of the plane before it starts its descent.
Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2
Answer:
y = 2x + 11
plug the values into y = mx+b:
3 = 2(-4) + b
solve, and you get
3 = -8 + b
b= 3+8 = 11
so, the equation is y = 2x+11
√64
A. 4√2
B. 8
Which one?
Answer:
Its B.
Step-by-step explanation:
If its right plz give me Brainliest :)
Answer:
√64 = 8
Step-by-step explanation:
The Square root of 64 is 8
Square of ( +/-8) is 64. Since the negative numbers inside square root results in an imaginary number, so the square root must be positive and hence +8 is a square root of 64. The Answer is 8.
What is the simplest radical form of the square root of 64?
The "simplest radical form" of √64 is √26 if we define "simplest form" as a radical of a prime to an integer power.
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))
TY
Answer:
nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank
Step-by-step explanation:
help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C
What is the value of x?
(5х)
110°
110°
70
14
Answer:
The answer to your question is :The value of 5× = 110°
Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down
Answer:
The object coordinate Q is (-11,3 )
Step-by-step explanation:
The translation is given as : ( 6,-2 )
The image coordinates for Q' is ( -5,1 )
So, to get the coordinates of object point Q (x,y), will be;
Q (x,y) + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )
Thus,
x+6 = -5
x= -5-6= -11
and
y+ -2 = 1
y-2=1
y=1+2 =3
Thus the object point coordinates Q is (-11,3 )
MARKING BRAINLIEST, PLEASE HELP.
In order for the picture frame to fit together where both pairs of opposite sides are parallel, what must the sum of x and y be?
Answer:
360 degrees
Step-by-step explanation:
a rectangle has a total of 360 degrees and all the x and y values are at the corners so...
A group of 700 students took a survey. about 85% said they use tolls like email the rest said the dont. what is the ratio to the number of students who said they do than not