Answer:
ii) curved surface area =2 pie rh
2*22/7*14*21
1548 cm2
iii) total surface area=2 pie r(r+h)
2*22/7*14(14+21)
2780
iv) volume of cylinder=pie r2h
22/7*14*14*21
12936 ans
Step-by-step explanation:
Answer:
As = 2112 cm²
Step-by-step explanation:
given:
A cylinder has a circular base radius 14cm and height of 10cm.
find:
the total surface area of the cylinder. [take pie 22/7] *
solution:
surface area (As) = 2πrh + 2πr²
where r = 14 cm; h = 10 cm; π = 22/7
plugin values into the formula:
As = 2 (22/7) 14 (10) + 2 (22/7) 14²
As = 880 + 1232
As = 2112 cm²
At the fair, Terrell has 47 ride tickets. Each ride on the Ferris wheel costs 6 tickets. After
riding the Ferris wheel as many times as possible, how many tickets will Terrell have left?
Answer:
Terrell has 5 tickets left.
Step-by-step explanation:
If I pay $10.50 for 3 lbs. of peanuts, what is the unit rate?
Answer:
the answer is 3.5 tell me if you got it right
WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
[tex](\frac{17}{18}, \frac{23}{6})[/tex]
Step-by-step explanation:
D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]
D2 = [tex]\sqrt{x^2 + y^2}[/tex]
Then set D1 = D2, and substitute in y = 3x+1
[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]
[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]
[tex]18x = 17[/tex]
x = 17/18
Then to find y, substitute back in x for y = 3x + 1
[tex]y = \frac{17}{18} * 3 + 1[/tex]
y = 23/6
The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Here,
The equation of straight line is y = 3x + 1
And, it is equidistant from the origin and (-3, 4)
We have to find the coordinates of the point on the straight line.
What is the distance between the two points?
The length of the line segment that connects the two given points, is called distance between two points.
Now,
Let the point (x, y) on the line y = 3x + 1.
Distance between the points (x, y) and (0, 0) is;
[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]
[tex]D = \sqrt{x^{2} +y^{2} }[/tex]
And, Distance between the points (x, y) and (-3, 4) is;
[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]
[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]
Equating both distance we get;
[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]
And, To find y put the value of x in y = 3x + 1, we get;
[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]
Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Learn more about the distance between two points visit:
https://brainly.com/question/23848540
#SPJ2
-6x+8y-10x-8y
Show and explain work
Answer:
Simplify the expression.
−16x
Step-by-step explanation:
what is 2 time 30000
Answer:
60000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
2 times 30,000 is 60,000
Select the decimal that is equivalent to 2/3
Answer:
0.66666667 or 0.6
Step-by-step explanation:
if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display
0.6666 with infinite sixes.
you can also write it as:
0.6
ps ;; you would do this for any fraction, then round it.
SOMBODY HELP ME!!!! I NEED HELP
Answer:
-11, -2, 3, 6
-16, -5, 21, 29
Step-by-step explanation:
Answer:
You are almost correct
2. -11, -2, 3, 6
3. -16, -5, 19, 21
Step-by-step explanation:
This is the answer because:
1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have
2) Therefore, the answers would be
2. -11, -2, 2, 6
3. -16, -5, 19, 21
Hope this helps! :D
the unit digit of square of the square of the number 42 is
A package of floor tiles contains 22 one-foot-square tiles. Find how many packages
should be bought to cover a square ballroom floor whose side measures 66 feet Note:
Partial packages cannot be bought
Answer:
Step-by-step explanation:
66 times 66 for area is 4356 then 4356 divided by 22 is 217.8 so 218
which property of equality is if 4m + n = 7 and n = 3 then, 4m + 3 = 7
Answer:
m = 1
Step-by-step explanation:
4 x 1 + 3 = 7
Answer: Addition property
Step-by-step explanation:
In the equation 4m + n = 7 , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7 so 3 has been added on each side.
Chase watched a movie about aliens who never stop growing. Every alien is 10 centimeters tall at birth and grows exactly 8 centimeters each year.
Let y represent the number of years since birth and h represent the alien's height in centimeters.
Complete the equation that represents the relationship between y and h.
y h
5 50
6 58
7 66
8 74
h=y+
Answer:
Step-by-step explanation:
Let the height (the dependent variable) be h.
Let the independent variable (x) be y
h = 8y + 10
So at birth, these creatures are 10 cm long. At each birthday, they are another 8 cm.
Take the fifth year which is where the table begins.
y= 8*5 + 10
y = 40 + 10
y = 50 cm which is exactly what you got.
property operation of 6 { 2.7 + 4 }=6{ 4 + 2.7 }
how to solve the following quadratic equations; 2L, m, o, 3a and g
Answer:
Please see the attached pictures for full solution.
What set does negative 4 belong to
Irrational numbers
Rational numbers
Real numbers
Whole numbers
Integers
-3x+2<8 answer this equation
Answer:
x>-2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8 -2
-3x < 6
Divide each side by -3. remembering to flip the inequality
-3x/-3 >6/-3
x>-2
DeShawn her $21 to spend on two pencils after buying them he has $17 how much did each pencil cost
Kyle ran 150 feet and 15 seconds how many hours would it take him to run 30 miles
Answer:
b. 4.4 hours
Step-by-step explanation:
We can use the conversion factor 1 mi/h = 22/15 ft/s. The required relation is ...
time = distance/speed
[tex]\dfrac{30\text{ mi}}{\left(\dfrac{150\text{ ft}}{15\text{ s}}\right)}\times\dfrac{\left(\dfrac{22\text{ ft}}{15\text{ s}}\right)}{\left(\dfrac{1\text{ mi}}{1\text{ h}}\right)}=\dfrac{(30)(22)\text{\h}}{150}\text{ h}=4.4\text{ h}[/tex]
Assuming Kyle can keep up the pace for that distance, it would take him 4.4 hours to run 30 miles.
BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
Someone please help.
Sosa received $90 in gift cards to Coffee Crazee and each drink she purchases costs $4.75. Sosa also received $75 in gift cards to Fran's Frappes and each drink she purchases cost $3.25. How many drinks will Sosa have to purchase in order to have the same amount remaining on the gift cards from both shops? * 33
Answer:
90 -4.75x = 75 -3.25x
90-75= 4.75x-3.25x
x= 10
Step-by-step explanation:
Answer:
10 drinks
Step-by-step explanation:
We can set up an equation to find the amount of drinks needed, x.
[tex]90-4.75x = 75-3.25x[/tex]
Now let’s solve for x by isolating it on one side of the equation.
Subtract 75 from both sides:
[tex]15 - 4.75x = -3.25x[/tex]
Add 3.25x to both sides:
[tex]15-1.5x=0[/tex]
Add 1.5x to both sides:
[tex]15 = 1.5x[/tex]
Divide both sides by 1.5:
[tex]x = 10[/tex]
Hope this helped!
Graph the function rule.
y = 3x + 3
Answer:
On the y axis (the vertical line titled y) graph a point at 3, then from there rise 3 and walk 1 and plot a point. keep doing this until you can graph a line.
Step-by-step explanation:
hope this helps :)
a) Calculate the area of a triangle that has base 8cm and height
6.5cm State units with your answer.
Answer:
26cm^2
Step-by-step explanation:
Base = 8cm
Height = 6.5cm
[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]
Substitute values into the given equation
[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]
the ratio of boys to girls in a class is 4 : 5
a) what is the fraction of boys in the class
b) what is the fraction of girls in the class
Answer: 4/9 of the class are boys and 5/9 of the class are girls.
Step-by-step explanation:
There are 9 nine students in total in the class since 4 + 5 = 9.Input the amount of boys and girls there are in the class in the numerator and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.I will mark you the BRAINLIEST IF U DO THIS WELL
Answer: i think 0<u<425.65
this is considering every player will bought only one uniform for the season
Step-by-step explanation:
Mrs. Drew wants to build a square sandbox with an area of 361 square feer. What is the total length
of wood Mrs. Drew needs to make the sides of the sandbox?
Answer:
19 feet
Step-by-step explanation:
Area= length × length
361= l²
√361= l
19= l
Answer: 76
Step-by-step explanation:
HELP ME ASAP PLEASE!!!!!!!!!1
what is 75.3% of 1394
Answer:
1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500
Step-by-step explanation:
1394/x=100/75.3
(1394/x)*x=(100/75.3)*x - we multiply both sides of the equation by x
1394=1.32802124834*x - we divide both sides of the equation by (1.32802124834) to get x
1394/1.32802124834=x
1049.682=x
x=1049.682
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{75.3\% \: of \: 1394}[/tex]
Convert 75.3 percent into fraction
To convert a percentage to a fraction, divide it by 100
[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]
Hope I helped!
Best regards! :D
Find the distance between (-12, 1) and (12, -1) *
Answer:
[tex]d = 2\sqrt{145}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you determine the distance between the two following points ( [tex](-12, 1)[/tex] and [tex](12, -1)[/tex] ):
-Distance Formula:
[tex]d = \sqrt{(x_{2} - x_{1}) ^2 + (y_{2} - y_{1})^2}[/tex]
(where [tex]( x_{1}, y_{1})[/tex] represents the first point, and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the following points to the equation:
[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]
[tex]( x_{1}, y_{1})[/tex] = [tex](-12, 1)[/tex]
[tex](x_{2}, y_{2})[/tex] = [tex](12, -1)[/tex]
-Solve the equation:
[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]
[tex]d = \sqrt{(24)^2 + (-2)^2}[/tex]
[tex]d = \sqrt{576 + 4}[/tex]
[tex]d = \sqrt{580}[/tex]
[tex]d = 2\sqrt{145}[/tex]
Therefore, the distance is [tex]2\sqrt{145}[/tex].
Alexa ran 22.5 miles less than Anthony last week. She ran a total
of 16.2 miles. How many miles did Anthony run?
Help me out
A cube has a surface area of 54 square centimeters, what is the side length?
Answer:
9cm
Step-by-step explanation: i think. ah
Answer:
3 cm³
Step-by-step explanation:
Formula a =√(A/6)
a = edge
A = Surface Area
a = √(54/6) = 3