[tex]C=\pi d[/tex]
[tex]22/7(5/4)[/tex]
[tex]=3.92857142857[/tex]
[tex]3.92857142857(254)[/tex]
[tex]=997.857142857[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Circumference :The circumference of bicycle is given as,
[tex]C=\pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that,[tex]d=\frac{5}{4} ,\pi=22/7[/tex]
Substitute values in above equation.
[tex]C=\frac{22}{7}*\frac{5}{4}\\ \\ C=\frac{110}{28}=3.93[/tex]
In 254 revolutions of the bicycle wheel is,[tex]C=254*3.93=997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
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Your question was incomplete , Complete question is here :
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."
If the point (a,3) lies on the graph of the equation 5x+y=8, then a=
Answer:
a = 1
Step-by-step explanation:
The given equation is:
=> 5x+y = 8
Also,
Point = (x,y) = (a,3)
So, x = a , y = 3
Putting this in the above equation
=> 5(a)+3 = 8
=> 5a = 8-3
=> 5a = 5
Dividing both sides by 5
=> a = 1
A cylindrical container with a radius of 6 cm and a height of 10 cm is filled with water to a depth of 6 cm. A sphere with a radius of 3 cm is placed at the bottom of the container.
a) What is the volume of the water to the nearest tenth?
b) What is the volume of the sphere to the nearest tenth?
c) How much higher does the water level rise in the container, to the nearest tenth, after the
sphere is placed inside?
Answer:
a. 452.4 cm³ to the nearest tenth b. 113.1 cm³ to the nearest tenth
c. 5.0 cm to the nearest tenth
Step-by-step explanation:
a. The volume of the water V₁ = πr²h since it is in a cylindrical container. r = 6 cm and h = 10 cm - 6 cm = 4 cm (since it is filled to a depth of 6 cm measuring from the top, so we have a height from the bottom of 10 cm - 6 cm = 4 cm).
So, V₁ = πr²h
= π × (6 cm)² × 4 cm
= 452.39 cm³
= 452.4 cm³ to the nearest tenth
b. The volume of the sphere V₂ = 4πr³/3 where r = radius of sphere = 3 cm.
V₂ = 4πr³/3
= 4π(3 cm)³/3
= 113.1 cm³ to the nearest tenth
c. When the sphere is placed in the container, the new volume of water in the container would be V = V₁ + V₂
So V = 452.4 cm³ + 113.1 cm³ = 565.5 cm³
Since the volume of water is still the volume of a cylinder, its height h is
h = V/πr²
= 565.5 cm³/π(6 cm)²
= 5.0 cm to the nearest tenth
Which graph displays a rate of change of 2.5?
On a coordinate plane, a line with negative slope goes through points (negative 2, 0) and (negative 1, negative 2).
On a coordinate plane, a line with negative slope goes through points (0, negative 3) and (2, 2).
On a coordinate plane, a line with positive slope goes through points (0, 1) and (2, 2).
Answer:
in edg is B
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
-2x+3y=-12 2x+y=4 After adding the two equations to eliminate x you are left with 4y=-8 Solve for y: y =
Answer:
y = -2
Step-by-step explanation:
y = -8/4 = -2
Answer:
y= -2
Step-by-step explanation:
on edg 2020 :))
what is 2.1 rounded to the nearest tenth of a cubic meter?
Answer:
19.396193043263
Step-by-step explanation:
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer:
(x-3)^2 = 4
Step-by-step explanation:
2 ( x-3) ^2 +6 = 14
Subtract 6 from each side
2(x-3)^2 = 8
Divide each side by 2
(x-3)^2 = 4
Take the square root of each side
x-3 = ±2
Add 3 to each side
x = 3±2
x =1 x = 5
Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)
Answer:
[tex]3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})[/tex]
Step-by-step explanation:
The general form of a quadratic polynomial is given by:
[tex]ax^2+bx+c[/tex] (1)
You have the following polynomial:
[tex]3x^2-10x+8[/tex] (2)
In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:
[tex]x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex] (3)
By comparing the equation (1) with the equation (2) you obtain:
a = 3
b = -10
c = 8
Then, you replace these values in the equation (3):
[tex]x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}[/tex]
Then, the factorization of the polynomial is:
[tex]3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})[/tex]
What is the equatation of the line that is parallel to y=6x-1 and passes through the point (-3,4)? The equatation will be in slope-intercept form.
Answer:
work is shown and pictured
Brainliest question please help me please
Answer:
Step-by-step explanation:
ES=√((6+1)²+3²)=√(49+9)=√58
ST=(6-1)=5
TR=5+1=6
IR=√((6-1)²+(3-1)²)=√(25+4)=√29
PI=6+1=7
PE=3+2=5
Perimeter=√58+5+6+√29+7+5=23+√58+√29≈37.68 units
If £31 = 500 rubles, how many £ are in 992 rubles? Give your answer to 2 dp.
Answer:
There are £61.50 in 992 rubles
Step-by-step explanation:
Here, we shall be doing some currency conversions.
Now,
£31 = 500 rubles
Then;
£x = 992 rubles
To get c, what we do is simply cross multiply
£x * 500 rubles = £31 * 992 rubles
£x = (£31 * 992 rubles)/500 rubles
£x = £61.504
which is £61.50 to two decimal places
Please help me solve this problem
Answer:
~120.4 cm
Step-by-step explanation:
Applying the Pythagorean theorem:
height^2 + 127^2 = 175^2
=> height^2 = 175^2 - 127^2
=> height^2 = 14496
=> height = sqrt(14496) = ~120.4 cm
Hope this helps!
Ricky is making diamond shapes in different sizes from pieces of wire. The diamonds will be used to decorate a barn for a barn dance. How many inches of wire will Ricky need to make a diamond with sides that are 9 inches long?
Answer:
Step-by-step explanation:
Mercury and Alcohol are two common liquids used in thermometers. The boiling point of MERCURY is 357 degree C, while its freezing point is -39 degree C; For ALCOHOL, the boiling point is 78 degree C and the freezing point is -80 degree C; It is required in a laboratory to make measurements which are in the region of -60 degree C. Which type of thermometer would be more suitable? (ASSET)
Answer:
Alcohol
Step-by-step explanation:
Alcohol would be more suitable for making measurements in a -60 degree laboratory, since its boiling point is 78 degrees and its freezing point is -80 degrees, meaning alcohol will not freeze in a -60 degree environment.
Mercury on the other hand, has a freezing point of -39. Thus, it will freeze in a -60 degree environment, making it not suitable for use in this laboratory.
what is the answer to 97% of 345m
Answer:
334.65
Step-by-step explanation:
97% of 345 = 334.65
I need help with this question ;w;
Answer:
XZ = 16.25 cm
QR = 6.8 cm
Step-by-step explanation:
A) Taking the proportion of similar sides
=> [tex]\frac{7.2}{6.5} = \frac{18}{XZ}[/tex]
Cross Multiplying
=> 7.2 XZ = 18*6.5
=> XZ = 117/7.2
=> XZ = 16.25 cm
B) Taking proportion of similar sides
=> [tex]\frac{18}{17}=\frac{7.2}{QR}[/tex]
Cross Multiplying
=> 18 QR = 17*7.2
=> QR = 122.4/18
=> QR = 6.8 cm
How many diagonals can be drawn from each vertex of a 15-gon?
11
18
12
8
None of these answers are correct.
Answer:
Correct option: third one -> 12
Step-by-step explanation:
In a polygon with 'n' vertex, we can trace diagonals from one vertex to all vertices, except to the vertex chosen and the two adjacent vertices (because we would have sides and not diagonals), so we would have 'n - 3' diagonals.
If we have a polygon with 15 vertex, the number of diagonals from one vertex is 15 - 3 = 12.
Correct option: third one
In "Pokemon Go", pokeballs cost $0.99 per 100 poke balls and great balls cost $0.99 per
50 great balls.
1. Mr. Underwood loves his "Pokemon Go". He wants to be the very best, like no one
ever was. He bought 200 pokeballs for the upcoming event. He bought 50 more
pokeballs than great balls. How many great balls did he buy?
2. What is the ratio of pokeballs to great balls that he bought?
Answer:
150 greatballs 200 pokeballs. Ratio is 4:3
Step-by-step explanation:
1 point
1. Johanna spun a spinner 66 times and recorded the frequency of each
result in the table. What is the experimental probability of spinning an odd
number? Write your answer using a / to represent the fraction bar.
Outcome
1
1
2
3
4
5
6
Frequency | 12
9
11
8
12
14
Answer: 35 / 66
Step-by-step explanation:
Given the data bekow:
Outcome : - - - 1 - - - 2 - - - 3 - - - 4 - - - 5 - - - 6
Frequency : - 12 - - - 9 - - - 11 - - 8 - - - 12 - - - 14
What is the experimental probability of spinning an odd
P(spinning an odd) = (number of occurrence of an event / number of trials)
Odd outcomes = 1, 3, 5
Frequency of 1 = 12
Frequency of 3 = 11
Frequency of 5 = 12
Number of occurrences of odd = (12 + 11 + 12) = 35
Number of trials = 66
Therefore,
P(spinning an odd) = 35 / 66
Apply the rule (-x, y - 2) to the following point, what is the result?
(-3, 5)
a. (-3, 7)
b. (3, 3)
c. (-5, -5)
d.(-5, 3)
(Please Help!!)
Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step 2: 3 x + 8 = 6 x + 16 Step 3: 8 minus 16 = 6 x minus 3 x Step 4: Negative 8 = 3 x Step 5: Negative StartFraction 8 Over 3 EndFraction = x Jorge verifies his solution by substituting Negative StartFraction 8 Over 3 EndFraction into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error? Jorge distributed incorrectly. Jorge incorrectly combined like terms. Jorge incorrectly applied the addition and subtraction properties of equality. Jorge incorrectly applied the multiplication and division properties of equality.
Answer:
Jorge incorrectly applied the multiplication and division properties of equality.
Step-by-step explanation:
D on edg
which figure shows a 90° clockwise rotation
Answer:
it is answer two
Step-by-step explanation:
i only answered because the other person just spoke jibberish
PLEASEEE HELPPPPP 88 points!!
Answer:
3pi/4 =x and 5pi/4 =x
Step-by-step explanation:
cos x + sqrt(2) = - cos x
subtract cos x from each side
cos x - cosx + sqrt(2) = - cos x - cos x
sqrt(2) = -2 cos x
Divide each side by -2
-sqrt(2) / 2 =-2 cos (x) /-2
-sqrt(2) /2 =cos (x)
Take the inverse cos of each side
cos(-1)(-sqrt(2) /2) =cos^-1(cos (x))
3pi/4 =x and 5pi/4 =x
Answer:
Here's your answer:
3pi/4 =x and 5pi/4 =x
cos x + sqrt(2) = - cos x
subtract cos x from each side
cos x - cosx + sqrt(2) = - cos x - cos x
sqrt(2) = -2 cos x
Divide each side by -2
-sqrt(2) / 2 =-2 cos (x) /-2
-sqrt(2) /2 =cos (x)
Take the inverse cos of each side
cos(-1)(-sqrt(2) /2) =cos^-1(cos (x))
3pi/4 =x and 5pi/4 =x
Step-by-step explanation:
In a half-kilo jar of legumes there are 2.5g of fat. In another 400g can of legumes B there is 2.1g of fat. Are these data in proportion? If the data is not in proportion, in which of the two cans is there more fat proportionally?
Answer:
no400 g canStep-by-step explanation:
A half-kilo jar is 500 grams, so a 400 g can would be 4/5 the weight. 4/5 of 2.5 g of fat would be 2.0 g of fat. The 400 g can has 2.1 g, so has more fat, proportionally, than its weight would suggest.
The fat is not proportional to the can sized. The 400 g can has more fat, proportionally.
Simplify 9(x+7)^2/3(x-1)(x+7)
The volume of a right-rectangular prism is 15 cubic feet. The prism is 2½ feet wide and has a height of ½ foot. How long, in feet, is the rectangular prism?
Answer:
12 feet
Step-by-step explanation:
To get the volume of a rectangular prism, you must multiply the height, width, and length of the prism. So to get your answer, you must multiply 2 1/2 and 1/2, then divide 15 feet by the answer. 2 1/2 × 1/2 × 12 = 15
Hey, someone mind helping me w/ this?
Answer:
[tex]785in^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *5^2*10=785.39816\\=785.4\\=785in^3[/tex]
please... HELP
i'm having such a hard time on math T^T
Answer:
20
Step-by-step explanation:
If its is 2 to 8 you divide by 2 to get 1;5 which u multiply by 5 to get 5:20
Answer:20 chickens
Step-by-step explanation:if there are 2 roosters for every four chickens, then you do 4*5
This graph shows the amount of money Abdul earns from tutoring compared with the number of hours he works. Select the correct statement about the graph
The graph shows that for every hour the earnings are $!8.
Option D is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Some of the coordinates from the graph are:
(1, 18), (2, 36), and (3, 54)
Now,
The rate of change between (1, 18), and (2, 36).
Slope = (36 - 18) / (2 - 1) = 18
The rate of change between (2, 36), and (3, 54).
Slope = (54 - 36) / (3 - 2) = 18
This means,
That for every hour there is an earning of $18.
Thus,
The graph shows that for every hour the earnings are $!8.
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Congruent triangles have the same perimeter and area.
False
True
Answer:
true
Step-by-step explanation:
they are the same, but they are positioned in other ways and or places
Answer:
True
Step-by-step explanation:
If they are congruent then they have the same side lengths, if they have the same side lengths then they also have the same area and perimeter
Which of these Nets can be folded into a cube.
Answer:
b
Step-by-step explanation:
I DID THIS !!
The Options 3rd and 4th are the correct options that be folded into a cube.
What is a cube?A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.
In the given figure of the cube, if we open up the formation then we get to know that only options 2nd and options 4th can be folded into a cube.
The third figure form a pyramid and 1st option could not able to make the cube when folded.
Learn more about cubes;
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