Answer: 260.16 cm
Step-by-step explanation:
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What is the volume of the cylinder below?
A. 288 units
B. 324 units
C. 216 units
D. 432 units
The volume of the cylinder is 288π units²
How to find the volume of a cylinder?volume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 6 units
h = 8 units
volume of the cylinder = π × 6² × 8
volume of the cylinder = π × 36 × 8
volume of the cylinder = 288π units²
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Estimate the square root of the following imperfect square:
7.
a. 2.2
b. 2.4
C. 2.6
d. 2.8
This problem is just try and error.
First we try number 2.5 since its the average of all the answers.
2.5^2=6.25
This is smaller than 7 so the answer is either 2.6 or 2.8
Now let's try 2.7
2.7^2=7.29
Which is bigger than 7 and that means the correct answer is 2.6 :)
Write an equation of a line that goes thru the points (-2, 6) & (3, -4)
Answer:
The equation of the line is;
y = -2x + 2
Step-by-step explanation:
Here, we want to write the equation of the line that passes through the given points
The general form of the equation is
y = mx + b
where m is the slope of the line and b is the y-intercept of the line
Mathematically, to get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1,y1) = (-2,6)
(x2,y2) = (3,-4)
m = (-4-6)/(3+2) = -10/5 = -2
So the equation is in the form;
y = -2x + b
To get b, we substitute any of the two points
6 = -2(-2) + b
6 = 4 + b
b = 6-4 = 2
The equation of the line is thus;
y = -2x + 2
Towns P, Q and R are connected by roads PQ ,PR and QR. PR is 10km longer than PQ
QR is twice as long as PR.
The total length of three roads is 170km.
Work out length of PQ.
Answer:
PQ = 35 km
Step-by-step explanation:
Here, we want to get the length of PQ
Let PQ = x
PR is 10 km longer than PQ
PR = 10 + x
QR = 2 * PR
QR = 2(10 + x)
Adding all gives 170;
x + 10 + x + 2(10 + x) = 170
2x + 10 + 20 + 2x = 170
4x + 30 = 170
4x = 170-30
4x = 140
x = 140/4
x = 35 km
PQ = 35 km
The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
What is the length of line segment?Length of line segment (say YX) is the distance of both the ends of it (y to x).
Towns P, Q and R are connected by roads PQ ,PR and QR.
The line segment PR is 10 km longer than PQ. Therefore,
[tex]PR=PQ+10\\PQ=PR-10[/tex] ......1
The line segment QR is twice as long as the line segment PR. Therefore,
[tex]QR=2PR[/tex] .....2
The total length of three roads is 170 km. Therefore,
[tex]PQ+PR+QR=170[/tex]
Put the value of PR and QR from equation 1 and 2 in the above equation as,
[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]
As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,
[tex]PR=45-10\\PR=35\rm km[/tex]
Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
Learn more about the line segment here;
https://brainly.com/question/2437195
6x – 2х + 8у – 6y simplified expression
Answer:
4x+2y
Step-by-step explanation:
6x is the answer to this question
1.02 quiz sinusoidal graphs
The characteristics of the sinusoidal function can be found from the given
graph of the function.
Correct Response;The minimum of the sinusoidal function is 1Method used to arrive at the above response;The sinusoidal function is the sine function that has the following general equation;
y = a·sin(b·(x - h)) + ka = The amplitude
b = Angular frequency
h = The horizontal shift
k = The vertical shift
Required:The minimum value of the sinusoidal function.
Solution;From the given graph, we have;
The amplitude, a = 2
The period, T = 10 = 2·π/b
b = π/5
The vertical shift, k = 3
The horizontal shift = 0
The minimum value of the function = k - a
Therefore;
The minimum value of the function is; 3 - 2 = 1Learn more about sinusoidal functions here:
https://brainly.com/question/6666829
Answer:
[tex]\displaystyle 1[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]
I am delighted to assist you at any time.
Determine the coordinates of the y-intercept of 3x − 4y = 24.
Answer:
(0, -6)
Step-by-step explanation:
At the y-intercept, the x-coordinate equals zero.
3x - 4y = 24
3(0) - 4y = 24
-4y = 24
y = -6
Answer: (0, -6)
finish the lyrics
a potoao flew
Around my room before you came.
Answer: around my room before you came
Step-by-step explanation:
what is the unit rate of 2 = 4.5 of a unit rate
Answer:
1 = 2.25
Step-by-step explanation:
4.5/2 = 2.25
Meaning 1 is 2.25
Hope this helped!
Answer:
2.25
Step-by-step explanation:
If lucy has a card buiness she has an oder to make 65 cards she makes the same number of cards everyday for 7 days how many cards does she have to make on the last day
Answer:
2
Step-by-step explanation:
Total number of cards = 65
she makes the same number of cards everyday for 7 days
Number of days = 7
Cards per day = 65 / 7 = The result is 9 with a remainder of 2.
This means, she makes 9 cards per day for 7 days. Then on the last day she is left with 2 cards to make.
The diameter of a cone is 4 centimeters and has a height of 6 centimeters. How much
greater is the volume of a cylinder that has the same diameter and same height?
A car drives 120 miles at a speed of 40 mph. How long did it take?
Answer:
3 hours
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
120/40=3
Hi my name is jase and i need some help on my math homework the question is Kevin is planting 15 bushes and 9 trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Kevin can plant?
Find the shaded area .
Answer:
152cm^2
Step-by-step explanation:
Find area of whole rectangle = 12 * 18 = 216cm^2
Find area of smaller square = 8 * 8 = 64cm^2
Take away the larger area from the smaller area = 216 - 64 = 152cm^2
(^2 indicates cm squared)
Hope this helps :)
Answer:
Area of the given figure is 152 sq.cm
Step-by-step explanation:
area of given figure (A)
= area of rectangle - area of minor square
=》A = (12 × 18) - (8 × 8)
=》A = 216 - 64
=》A = 152 sq.cm
r(x)=−x−7 when x=−2,0, and 5
Answer:
r(0) = -7
r(2) = -5
r(5) = -12
Step-by-step explanation:
What is 35% of 130 write your answer in
Answer:
45.5
Step-by-step explanation:
....................
Need step to step answer
(2.7×10^-3) ÷ (9×10^7)
Answer:
243,000
Step-by-step explanation:
(2.7×10^-3) ÷ (9×10^7) | Given (thanks for proper formatting :')
(2.7 × 0.001) ÷ (9 × 10,000,000) | Start with exponents
0.0027 ÷ 90,000,000 | Multiply what's in the parenthesis
243,000 | Divide these numbers
name the quadrilateral
Answer:
Step-by-step explanation:
Quadrilaterals
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Help Please I am really confused whoever helps gets Brainliest (if its correct)
Answer:
hi :)
910
use a percantage calculator, i looked it up and 182 percent of 500 would be 910
Step-by-step explanation:
Two rectangles are similar. Which proportion
could you solve to find the missing side length?
ILL GIVE U BRAINLEST PLEASE HELP ME
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
x=6
Hopefully it is correct and I tried my best good luck
Ron earned $ 840 in a week . How much will he earn in 36 days
Answer:
about 4200
Step-by-step explanation:
in order to solve this, you have to understand that there are 4 weeks within a month, which would give you the answer of 3360 and 36 days is approximately 5 weeks, therefore just add one more week to the total of 3360+ 840 = 4200
Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the measure of the two angles.
Answer:
c=36 degrees
d=54 degrees
Which absolute value expression represents the distance between 3 and
9 /2
on a number line?
A) |3 −
9
2
|
B) |3 − (−
9
2
)|
C) |−3 + (−
9
2
)|
D) |−3 −
9
2
)|
x^2 - 20x + 100
What is the degree of this polynomial?
Answer:
2nd
Step-by-step explanation:
the highest exponent value is the degree.
if I had [tex]x^{6} x^{2} x^{-7}[/tex] , the degree would be 6.
pls help ive posted 3 times now no one has gave me an asnwer at least view it
its not the 2nd answer
Answer:
B) 7.2 cm / 22.61 cm
Step-by-step explanation:
6.28 / 2 = 3.14
3.14 x 7.2 = 22.608 = 22.61
Circumference = 7.2
Diameter = 22. 61
7.2 cm / 22.61 cm
t/3 = 11 solve equation and check souloution what is t
Answer: t=33
Step-by-step explanation:
Answer:
t = 33
Step-by-step explanation:
t/3 = 11
t = 11 × 3
t = 33
The cost of chartering a bus for the great america trip was split evenly by the 20 students planning to go. The day before the trip, 10 more students decided to go. dividing the cost evenly among all 30 students brought the average cost down by $9.00 per person. What was the total cost of chartering the bus? Please answer me with an explanation
Answer:
20c= 30(c-9)
Step-by-step explanation:
The first step in solving a word problem is always to organize the information you have, and put it into equations to solve.
Let c be the cost per student originally.
The cost of the bus has not changed, so the cost/student * the number of students has not changed:
Find tan
A 8/15
B 15/8
C 15/7
D 8/17
Answer:
cos α = 8/17
Apply Pythagoras theorem for triangle ,
Let get unknown side of triangle is y
17^2 = 8^2 + y^2
17^2 - 8^2 = y^2
225 = y^2
y = sqrt(225)
y = 15
tan α = 15/8
Step-by-step explanation:
Answer:
The correct answer is 8/15 on edg
Please help me find the area of this triangle!
Answer:
150
Step-by-step explanation:
1/2 multiply base times hieght
Answer:
150
Step-by-step explanation:
given in the pic above
in the pic its 15×10
i have written mistakely 15×12
pls help ill give brainliest to the person WHO GETS IT RIGHT
Answer:
The answer is D
Step-by-step explanation:
Answer:
the answer is the last option. p <_ 48