Answer :
8 feet.Given :
The volume of cylinder is 2,813.44 cubic feet.Height of the cylinder is 14 feet.To Find :
The radius.Solution :
We know,
[tex] \bf \longrightarrow \qquad \: \pi {r}^{2} h = \: Volume_{(cylinder)}[/tex]
Where,
r is the radius of the cylinder.h is the height of the cylinder.Here, we will take the value of π as 3.14 approximately .Substituting the values in the formula :
[tex] \sf \longrightarrow \qquad \: 3.14 \times {r}^{2} \times 14 = \: 2813.44[/tex]
[tex]\sf \longrightarrow \qquad \: 43.96 \times {r}^{2} = \: 2813.44[/tex]
[tex]\sf \longrightarrow \qquad \: {r}^{2} = \: \dfrac{ 2813.44}{43.96}[/tex]
[tex]\sf \longrightarrow \qquad \ {r}^{2} = \: 64[/tex]
[tex]\sf \longrightarrow \qquad \: {r} = \: \sqrt{64} [/tex]
[tex]\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}[/tex]
Therefore,
The radius of the cylinder is 8 feet.(2,3) (4,7)
Slope intercept form
Answer:
y=2x-1
Step-by-step explanation:
May God bless you and your family during this spring break
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y-3=2x-4\implies y=2x-1[/tex]
Consider the line y= −2/9x-7. Find the equation of the line that is perpendicular to this line and passes through the point , (2, 3) Find the equation of the line that is parallel to this line and passes through the point , (2,3).
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{9}} x-7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so then we can say that
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{9}} ~\hfill \stackrel{reciprocal}{-\cfrac{9}{2}} ~\hfill \stackrel{negative~reciprocal}{-\left( -\cfrac{9}{2} \right)\implies \cfrac{9}{2}}}[/tex]
so we're really looking for the equation of a line whos slope is 9/2 and passes through (2 , 3)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{9}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{9}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=\cfrac{9}{2}x-9\implies \boxed{y=\cfrac{9}{2}x-6}[/tex]
now as far as the parallel line
keeping in mind that parallel lines have exactly the same slope, so we're really looking for the equation of a line whose slope is -2/9 and passes through (2 , 3)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{2}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{2}{9}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=-\cfrac{2}{9}x+\cfrac{4}{9}\implies y=-\cfrac{2}{9}x+\cfrac{4}{9}+3\implies \boxed{y=-\cfrac{2}{9}x+\cfrac{31}{9}}[/tex]
help me please i dont get it 123
Answer:
25 degrees?
Step-by-step explanation:
5x + 4 + 2x + 1 = 180
7x + 5 = 180
7x = 175
x = 25 i think???
idrk about the second question though sorry!
The sum of ten and twice a number is
twenty-two. What is the number?
The only answer possible is 11 if we are talking whole numbers but something with decimals might work as well, I mean 22 only has 2 dividends and that is 11X2 and 22X1
Help me find the area and perimeter of the rhombus
Answer: a= pq/2 p= 4a
Step-by-step explanation:
An angle measures 44° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
The angle is 112 degrees and the supplement is 68 degrees.
Step-by-step explanation:
Let the angle’s measure be represented by x and the supplement’s measure be represented by y. Since supplementary angles add to 180 degrees, x + y = 180.
Since the supplement is 44 degrees less than the angle,
y + 44 = x
We can substitute y + 44 = x for x in the first equation, since they are equivalent.
y + 44 + y = 180
2y + 44 = 180
2y = 136
y = 68
Substitute 68 for y in one of the original equations and solve.
68 + 44 = x
x = 112
On Tuesday, Jolene played basketball again. This time she took 27 shots and scored 23 of them. What percentage of the shots taken did Jolene make over both days combined?
Answer:
she made 80% of the shots over the 2 days
which shape is a rectangle?
question 7 on -ready
Answer:
I’m not sure about I-ready, everyone has different ones but I’ll give you some options.
A rectangle is a quadrilateral
A rectangle is a parallelogram
Unless I-ready is asking bout which SHAPE can be a rectangle then it’s a lot of different options.
A square can be a rectangle
Or a parallelogram with the givens being able to fit in to all the things that defines as a rectangle.
These are the options I can think of but pretty sure theres more. But it’s I-ready so it’s not complicated.
an airline is trying to promote its new Boston to Atlanta flight. the usual price for this flight is $315.00. however the airline is offering a 40% discount until the end of the month. how much will the flight cost after the discount?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 315}}{\left( \cfrac{40}{100} \right)315}\implies 126~\hfill \underset{\textit{after discount}}{\stackrel{315~~ - ~~126}{189}}[/tex]
If usual price for flight is $315.00, the airline is offering a 40% discount until the end of the month. then the cost of the flight after the discount is 126.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that an airline is trying to promote its new Boston to Atlanta flight.
the usual price for this flight is $315.00.
The discount offered by airlines is 40%.
We need to find the cost of the flight after the discount.
Convert 40% to decimal by dividing with 100.
40/100=0.4
Now multiply 0.4 with 315
0.4×315
Zero point four times of three hundred and fifteen.
126
Hence, the cost of the flight after the discount is 126.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
Which represents the inverse of the function f(x) = 4x?
Help plss !!
The inverse of any function is where you sway the 'y' and 'x' positions.
Thus if the equation is [tex]y = 4x[/tex]
The inverse is:
[tex]x = 4y\\y = \frac{1}{4} x\\[/tex]
Therefore the inverse is [tex]h(x) = \frac{1}{4} x[/tex]
Hope that helps!
A motor boat traveling with the current went 30mi in 3 h. Against the current, it took 5 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current
Answer:
Speed of the boat is 9.4mph and the current is 15.4mph
Step-by-step explanation:
Rate= distance/ time
With current; rate= boat+ current= b+c
Against current; rate= boat - current = b- c
30=3(b+c)••••••••••••••eqn(1)
30=5(b-c)•••••••••••••••••eqn(2)
30=3b +3c••••••••••••••eqn(3)
30=5b-5c•••••••••••••••eqn(4)
Solve simultaneously
b=12mph
From eqn(3)
30=3b +3c
Divide both sides by 3, we have
10= b+c
If we make "b" the subject of the formula we have
b= (10-c)••••••••eqn(5)
Divide both side of eqn(4) by 5 we have
6=b-c••••••••eqn(7)
Substitute eqn(5) into 7
6= (10-c)-c
6= 10c-c^2
C^2-10c+6
C= 9.4 or 0.64
Substitute the highest value 9.4 into equation 7
6=b-9.4
b=6+9.4
b= 15.4
Speed of the boat is 9.4mph and the current is 15.4mph
What is the radical of 23.5
Answer:
The result can be shown in multiple forms.
Exact Form:
√
23.5
Decimal Form:
4.84767985
…
Step-by-step explanation:
Help ASAP, will give brainliest, five stars, and a thanks.
Answer: $0.32
Rounded to the nearest penny = tenths.
We must round 0.325675 to the nearest tenth.
Answer = 0.32.
Hope this helps!
Answer:
Curtis will get $38.40 back
Step-by-step explanation:
First, we need to find out how much "real" money he has. The equation I did was:
50 + 30 + 30 + 8 = 118
Next, we must convert this into dollars, by multiplying by 0.325675
118 x 0.325675 = 38.42965
We round 38.42965 to the nearest penny:
38.42965
--> 2 rounds down to 0, so we keep just the $0.40
our answer is:
$38.40
Which expression shows the prime factors of 220?
O A. 22 x 10
O B. 2x2x5x11
O c. 2x2 x 5 x 11 x 22
O D. 2 x 5 11
B. 2×2×5×11=220
if you divid 220 by 2=110
110÷2=55, 55÷5=11, 11÷11=1
2, 2,5, 11
Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *
Answer:
9 weeks
Step-by-step explanation:
Answer:
It will take 9 weeks
Step-by-step explanation:
anyone Watch's AOT who you fav character
Answer:
Levi is fine a_f
Step-by-step explanation:
Answer:
i dont know what AOT is
Step-by-step explanation:
Which geometric term describes ZTAG?
A acute
B. obtuse
C. right
D. straight
CONNEXUS work
Answer:
Acute angle
Step-by-step explanation:
Since the angle is less than 90 degrees
Find the sum of the whole numbers from 1
to 820
Answer:
There is no way to solve this..
Step-by-step explanation:
Which is greater 25% or 7/25
Answer:
7/25
Step-by-step explanation:
because its .28
The greatest between the 25% or [tex]\frac{7}{25}[/tex] should be considered as the [tex]\frac{7}{25}[/tex] because it is 28%.
Calculation of the greatest number:Since one percentage i.e. 25% and one fraction i.e. [tex]\frac{7}{25}[/tex]
We need to determine greater between these two
So the fraction in percentage could be 28%
So we can say that the fraction should be bigger.
hence, The greatest between the 25% or [tex]\frac{7}{25}[/tex] should be considered as the [tex]\frac{7}{25}[/tex] because it is 28%.
Learn more about number here: https://brainly.com/question/17166653
From 39 seconds to 13 seconds
Answer:
26 seconds
Step-by-step explanation:
39 - 13 = 26
Cindy has 30 meters of fencing. She
plans to fence in a rectangular dog run
that is 4 meters wide.
[Remember, the formula for the
perimeter of a rectangle (the distance
around) is p= 2L+2w,
where L=
length and w = width.]
How long can the run be made
need help 4/5 + 3/5 on a area model
I need help what is 11 times 34,000
Answer:
374000
Step-by-step explanation:
use a calculator
Matt runs 1500 m in 3 minutes 45 seconds. Find his average speed in m/s. Give your answer as a mixed number.
6.25
meters per second or
22.5
kilometers per hour
Explanation:
1500
meters in
4
minutes or
240
seconds means
1500
240
=
1500
25
240
4
=
25
4
=
6.25
meters per second (dividing by
60
)
or
6.25
×
3600
=
22500
meters per hour
or
22.5
kilometers per hour.
The outside temperature decreases by 7 degrees in 3.5 hours.
5a.) How would you represent the temperature change as a unit rate? Express your answer as an integer.
Please help I need an answer asap!
Answer: 2
Step-by-step explanation:
7 divided by 3.5 is 2
-53/4-31/2= what’s the answer
Answer:
-155/4
Step-by-step explanation:
-53 + 62/ 4
⬇️
-53 + 62/4
Add
-155/4
PLEASE HELP MAYBE ILL GIVE YOU BRAINLIEST
THIS IS PROLLY EASY FOR U
For a field trip, a bus company charges a flat fee plus an additional fee per student. For
40 students, the total cost is $170.00. If there are 45 students, the total cost is
$182.50. Write an equation that represents the total cost y of the field trip for x
students. What would the total cost be if 80 students went on the field trip?
Answer: here
Step-by-step explanation:
The answer comes from the derivation of a straight line model for the cost vs students. Note that the change in cost of 145-135.50 = 9.50 for an increase of students from 25 to 30. The ratio of change of cost to change of students = 9.50/5 = 1.9 and becomes the slope coefficient "m" in the formula y= mx + b. y = the total cost, mx becomes the variable cost and b becomes the fixed cost. To find b, use the data point given where the total cost = $135.50 when the students = 25, or 135.50 = 1.9*25 +b. Solving for b yields $ 88. Note that the other data point is where the total cost is $145 for students = 30. Using the new total cost equation shows that 30*1.9+88= 145 thus verifying the math model works for the data points provided.
4(a+2) = 8+4a
solve for a
Answer:
4a=4a
Step-by-step explanation:
first you multiply 4 to a then 4 to 2 you'll have 4A + 8 = 8 + 4A you subtract 8 to both sides which will make 0 and the only thing you'll have is 4a equals 4a and that's the answer
Answer: All Real Numbers
Step-by-step explanation:
All Real Numbers . Just completed this quiz
Ethan us packing bags with treats for a party. He wants every bag to have exactly the same treats in it. Ethan had 96 granola bars and 64 lollipops. How many granola bars are in each bag?
Answer: wut?
Step-by-step explanation:
An angle measures 126° more than the measure of its supplementary angle. What is the measure of each angle?
Solution:
We know that:
A pair of supplementary angles always sum up to 180°This means that:
[tex]x + x + 126 = 180[/tex]Step-by step calculations:
Combine like terms and simplify:
[tex]x + x + 126 = 180[/tex]=> [tex](x + x) + 126 = 180[/tex]=> [tex]2x + 126 = 180[/tex]Subtract 126 both sides:
=> [tex]2x + 126 - 126 = 180 - 126[/tex]=> [tex]2x = 54[/tex]Divide 2 both sides:
=> [tex]\frac{2x}{2} = \frac{54}{2}[/tex]=> [tex]x = 27[/tex]This means that one angle is 27°. Let's find the other angle.
Finding the other angle:
[tex]27 + 126 = Other \space\ angle[/tex]=> [tex]153 \space\ = Other \space\ angle[/tex]Thus, the measure of the angles are 27° and 153°.
Answer:
27° and 153°
Step-by-step explanation:
Let "x" represent the angle.
We know that supplementary angles must add up to 180 degrees.
First, let's set up an expression for the supplement of the angle "x":
x+126
Now, let's use this information to set up an equation:
[tex]x+x+126=180[/tex]
Combine like terms:
[tex]2x+126=180[/tex]
Subtract 126 from both sides:
[tex]2x=54[/tex]
Divide both sides by 2
[tex]x=27[/tex]
The supplement would be:
[tex]x+126=27+126=153[/tex]
Therefore the measures of the two angles are:
27° and 153°