Will give brainliest. Find the length and measure of each arc. Show your work.
Answers
Problem 1
The circumference is the full perimeter around the circle. You can think of it as the combination of "circle" and "fence" to get "circumference", but there might be other tricks to remember the term.
Anyways, the formula to get the circumference of a circle is
C = 2*pi*r
In this case, r = 14 is our radius so,
C = 2*pi*r
C = 2*pi*14
C = 28pi .... exact circumference in terms of pi
We only want a portion of this circumference as shown by the piece of the circle darkened. The fractional portion we want is 135/360 of a circle. Divide the angle by 360 to get the fractional portion you want. If the angle was say 180 degrees, then 180/360 = 1/2 is the fractional portion.
So we take 135/360 and multiply it by the value of C found earlier
arc length = (fractional portion)*(circumference)
arc length = (135/360)*28pi
arc length = 10.5pi
That's the exact arc length in terms of pi. Use a calculator to find that
10.5pi = 32.9867228626929
Or you could use pi = 3.14 to say
10.5*pi = 10.5*3.14 = 32.97
Which is fairly close to what the calculator is saying
-----------------
Summary:Exact arc length = 28pi
Approximate arc length (using calculator) = 32.9867228626929
Approximate arc length (using 3.14 for pi) = 32.97
Units are in feet
When I write "using calculator", I mean using the calculator's stored version of pi, instead of pi = 3.14
======================================================
Problem 2
We could use the same idea as problem 1, or we could use the formula below. The formula is just a quick way of encapsulating what I discussed earlier.
L = arc length
x = central angle
L = (x/360)*2*pi*r
L = (150/360)*2pi*13
L = (65/6)pi .... exact arc length
L = 34.0339204138894 .... approx arc length (using calculator)
L = 34.0166666666667 .... approx arc length (using 3.14 for pi)
-----------------
Summary:Exact arc length = (65/6)pi
Approximate arc length (using calculator) = 34.0339204138894
Approximate arc length (using 3.14 for pi) = 34.0166666666667
Units are in meters
Related Questions
You double the radius of a circle. Predict what will happen tothe circle’s circumference and what will happen to its area. Test yourprediction for a few circles. Use a different radius for each circle. Thenpredict how doubling a circle’s diameter will affect its circumferenceand area. Test your prediction for a few circles with different diameters.
Answers
Answer:
When radius is doubled:
Circumference becomes double.
Area becomes four times.
When diameter is doubled:
Circumference becomes double.
Area becomes four times.
Step-by-step explanation:
Given that
Radius of a circle is doubled.
Diameter of circle is doubled.
To study:
The effect on circumference and area on doubling the radius and diameter.
Solution/explanation:
Let us discuss about the formula for circumference and area.
Formula for Circumference of a circle in form of radius:
[tex]C =2\pi r[/tex]
It is a linear equation in 'r'. So by doubling the radius will double the circumference.
Formula for Area of a circle in form of radius:
[tex]A =\pi r^2[/tex]
It is a quadratic equation in 'r'. So by doubling the radius will make the area as four times the earlier area.
Testing using example:
Let the initial radius of a circle = 7 cm
Initial circumference = [tex]2 \times \frac{22}{7} \times 7 = 44 cm[/tex]
Initial area = [tex]\frac{22}{7} \times 7 \times 7 =154 cm^2[/tex]
After doubling:
Radius = 14 cm
circumference = [tex]2 \times \frac{22}{7} \times 14 = 88 cm[/tex] (Twice the initial circumference)
area = [tex]\frac{22}{7} \times 14 \times 14 =616 cm^2[/tex] (4 times the initial area)
------------------------------------
Formula for Circumference of a circle in form of Diameter:
[tex]C =\pi D[/tex]
It is a linear equation in 'D'. So by doubling the diameter will double the circumference.
Formula for Area of a circle in form of diameter:
[tex]A =\dfrac{1}{4}\pi D^2[/tex]
It is a quadratic equation in 'D'. So by doubling the Diameter will make the area as four times the earlier area.
Testing using example:
Let the initial diameter of a circle = 28 cm
Initial circumference = [tex]\frac{22}{7} \times 28 = 88 cm[/tex]
Initial area = [tex]\frac{1}{4}\times \frac{22}{7} \times 28 \times 28 =616cm^2[/tex]
After doubling:
Diameter = 56 cm
circumference = [tex]\frac{22}{7} \times 56= 176 cm[/tex] (Twice the initial circumference)
area = [tex]\frac{1}{4}\times \frac{22}{7} \times 56 \times 56 =2464cm^2[/tex] (4 times the initial area)
So, the answer is justified:
When radius is doubled:
Circumference becomes double.
Area becomes four times.
When diameter is doubled:
Circumference becomes double.
Area becomes four times.
Help needed fast!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
It has to exceed not be same or equal to
explanation: :))
The product of 7,x, and y is represented by the expression 7xy. If the value of x is negative, what
can be said about the value of y in order for the product to remain positive?
Answers
Answer:
In the expression of 7xy, if x is negative, then y must also be negative for the product to be positive.
Let me know if this helps!
Answer:
it must be negative
Step-by-step explanation:
7xy = a positive number
7 is positive.
x is a negative number.
y must be negative for 7xy to be positive.
(+) * (-) * (-) = +
The product of two negative numbers is positive.
One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After
what was the temperature?
hours
O 24 degrees
O 16 degrees
40 degrees
O 32 degrees
Es Review
Answers
Answer:
Hey there!
The temperature started at -8 degrees.
The total rise of the temperature was 6(4) or 24 degrees.
-8+24=16
The temperature after 6 hours was 16 degrees.
Let me know if this helps :)
The temperature after 6 hour is 16°. Therefore, option B is the correct answer.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Given that, One January day, the low temperature in Fargo, ND was -8 degrees.
Over a period of six hours, the temperature rose 4 degrees per hour.
So, total temperature rose in 6 hours is 24 degrees
Temperature after 6 hour is -8+24
= 16°
The temperature after 6 hour is 16°. Therefore, option B is the correct answer.
Learn more about the temperature here:
https://brainly.com/question/11464844.
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please help on this too
Answers
Answer:
The correct option is;
Multiplication Property of Equality
Step-by-step explanation:
The multiplication property of equality states that the product of both sides of an equation by a given number maintains the equality of the sides of the equation
For example, two containers hold the same volume of water, if the volume of water in each of the containers is doubled, they will still hold the same volume on each side.
For the given question, we have;
TR = UI then 3·RT = 3·UI
We have the same value of the multiplier on both sides of the equation therefore, the value of the result of the multiplication will also be the same on both sides of the equation.
Answer:
multiplication property of equality
Step-by-step explanation:
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
Both sides were multiplied by 3 which still makes them equal
Find the edge length of a cube if the surface area is 565.7 m².
0 9.71 m
9.48 m
0 10.31 m
10.97 m
None of the above
Answers
Answer:
9.71 m
Step-by-step explanation:
Surface area of cube is given by 6a^2 where a is the edge length.
Given
Surface area =565.7 m²
let a be the edge length of required cube
then
6a^2 = 565.7 m²
=> a^2 = 565.7 /6 m² = 94.28
=> a = [tex]\sqrt{94.28}[/tex] = 9.71
Thus, first option 9.71 m is correct choice.
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
What is the relative frequency of survey members who prefer football?
Answers
Answer:
.14
Step-by-step explanation:
The relative frequency that favors football is around 0.14, or 14%.
Given that Phoebe took a survey of her classmates' favorite sport.
We need to find the relative frequency of survey members who prefer football,
Preferred sports =
Football baseball basketball tennis others total
4 5 8 7 4 28
To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.
According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.
Relative Frequency = Number of people who prefer football / Total number of respondents
= 4 / 28
≈ 0.14
Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.
To know about frequency distribution, here
brainly.com/question/1094036
#SPJ4
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range
Answers
Answer:
the answer is D. range......
:
When you want to find the range its the lowest and the highest number subtracted by each other.
Hope this helps :)
Rafael is at an elevation of 30.5 feet relative to sea level and Jordan is at an elevation of -41.3 feet relative to sea level. Who is at a higher elevation? Who is further from sea level?
Answers
Answer:
a. Rafael
b. Jordan
Step-by-step explanation:
Firstly, we should understand that a negative value of elevation indicates that the position is below sea level.
So the person at a higher elevation is the person above the sea level which is Rafael in the case.
Now to the second question, we want to know who is farther from the sea level.
The correct answer is Jordan.
Let’s see the sea level as an origin (0,0) on a cartesian plane and coordinate. We should understand that although sign maybe different, the numbers which are higher in magnitude in either direction shows the farthest from the origin.
So therefore, Jordan is deeper below the sea level than Rafael who is above the sea level.
A class of 245 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
Answers
Answer:
4 cars and 5 buses
Step-by-step explanation:
245÷ 45=5.4
45×5=225
245-225=20
20÷5=4
BRAINLIEST!!! Plz help ASAP
M(5, 7) is the midpoint of side RS.The coordinates of S are (6, 9). What are the coordinates of R?Please answer with full explanation and no non sense answers will reports. Will give brainiest to those who answered correctly with full explanation. Thank you.
Answers
Answer: R = (4, 5)
Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,
x coordinate- (6+x)/2=5
x=4
y coordinates- (9+y)/2=7
y=5
And therefore R is (4, 5)
23458+98432 find the sum
Answers
Answer:
121,890
Step-by-step explanation:
23458+98432
=121,890
f(x)=-(x+2)^2+3 put in standard form
Answers
Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
Answer:
Hello,
Step-by-step explanation:
do I remind you of the formula (a+b)²=a²+2ab+b²
[tex]f(x)=-(x+2)^2+3\\\\=-(x^2+4x+4)+3\\\\=-x^2-4x-4+3\\=-x^2-4x-1[/tex]
Sorry i haven't see the sign minus before the parenthesis.
Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56
Answers
Answer:
[tex]\large \boxed{\sf B. \ 34}[/tex]
Step-by-step explanation:
[tex]5(14 - 2^3 ) +8 \div 2[/tex]
[tex]\sf Solve \ brackets.[/tex]
[tex]2^3 =8[/tex]
[tex]5(14 - 8 ) +8 \div 2[/tex]
[tex]14-8=6[/tex]
[tex]5(6 ) +8 \div 2[/tex]
[tex]\sf Multiply \ and \ divide.[/tex]
[tex]5(6)=30[/tex]
[tex]8 \div 2 = 4[/tex]
[tex]30 +4[/tex]
[tex]\sf Add.[/tex]
[tex]34[/tex]
Answer: 34
Step-by-step explanation: It's very easy to make mistakes in order of operations problems if you try to do too much of the problem in your head.
It really is worth the extra time it takes to write out every step.
P E M D A S
Parenthses
Exponents
Multiplication/Division
Addition/Subtraction
In this problem, simplify (14 - 2³) first
because it's located inside the parenthses.
2³ is 8 so our second step reads 5(14 - 8) + 8 ÷ 2.
14 - 8 is 6 so we have 5(6) + 8 ÷ 2.
Now multiplication and division are based on order of appearance.
Since multiplication comes first, we do it first.
5(6) is 30 so we have 30 + 8 ÷ 2.
Now we can do the division.
8 ÷ 2 is 4 and we have 30 + 4 which is 34.
What is the slope of the line containing the midpoint of the segment with endpoints at (2, 4) and (0, -2) and the midpoint of the segment with endpoints at (5, 1) and (1, 5)?Express your answer in simplest form. Plzzzz help!!!!
Answers
Answer:
slope = 1
Step-by-step explanation:
midpoint of (2, 4) and (0, -2)
(2 + 0)/2 = 1 and (4 + -2)/2 = 1
(1, 1)
midpoint of (5, 1) and (1, 5)
(5 + 1)/2 = 3 and (1 + 5)/2 = 3
(3, 3)
slope = (3-1)/(3-1) = 2/2 = 1
Joaquin fue al mercado y compro 2,2 kg de papa a S/.1,2 soles el kilo y 3,2 kg de arroz a S/.3,7 soles el kilo, si pagó con un billete de 20, cuanto recibió de vuelto?
Answers
Responder:
5,52
Explicación paso a paso:
Dado lo siguiente:
Precio por kilo de papa = 1.2
Kg de papa comprada = 2.2kg
Precio por kilo de arroz = 3.7 por kilo
Kg de arroz comprado = 3.2 kg
Valor del boleto emitido para el pago = 20
Precio total de la papa:
Precio * kg comprado
1.2 * 2.2 = 2.64
Precio total del arroz:
Precio * kg comprado
3.7 * 3.2 = 11.84
Cantidad total gastada = (precio total del arroz + precio total de la papa)
2.64 + 11. 84 = 14.48
Cambio pendiente = 20 - 14.48 = 5.52
Please help me asap it's for a grade.
Answers
Answer:
212 in²Step-by-step explanation:
Top and bottom:
2(2 + 4)*4 = 48Front and back:
2(4*7 + 2*10) = 96Left and right:
10*4 + 4*7 = 68Total surface area:
48 + 96 + 68 = 212 in²Answer:
=280
Step-by-step explanation:
Step 1:
find the surface areas of both the figures
area of 1rst:
length = 2
width =4
height = 10
surface area formula = 2(wl+wh+hl)
= 136
area of second
length = 4
width =4
height = 7
surface area formula = 2(wl+wh+hl) =
2·(4·4+7·4+7·4)=144
144 + 136 = 280
I hope this helps!! :)
Se forman varios triángulos con fósforo uno después de otro escribe una expresión numérica que representa el número de fósforo según el número de triángulos
Answers
La expresión numérica que representa el número de fósforos según el número de triángulos es: x=2n+1
Vamos a suponer que los triángulos se disponen de la manera mostrada en el diagrama (ver diagrama adjunto)
Cuando se construye el primer triángulo vamos a necesitar de 3 fósforos.Cuando se construye el segundo triángulo vamos a necesitar de 2 fósforos adicionales por lo que obtenemos 3+2=5 fósforos.Cuando se construye el tercer triángulo, se necesitan 2 fósforos adicionales, por lo que obtenemos 3+2+2=7Cuando se construye el cuarto triángulo se necesitan 2 fósforos adicionales y tenemos 3+2+2+2=9En este caso vamos viendo un patrón, por cada nuevo triángulo vamos necesitando dos fósforos adicionales.
Cuando tenemos varios números que presentan un patrón y el patrón es que la distancia entre dos números consecutivos es la misma, entonces estamos hablando de una secuencia aritmética. Las secuencias aritméticas tienen la forma general:[tex]x_{n}=a+d(n-1)[/tex]
En este caso vamos a definir dos variables:
x = número de fósforos
n = número de triángulos
El patrón que vimos arriba se puede escribir de la siguiente manera:
x=3+2n
pero mucho ojo, esta fórmula es válida únicamente si empezamos a contar de n=1 triángulo adicional (osea cuando tenemos 2 triángulos). Si usamos n=1 obtenemos:
x=3+2(1)=5 (el cual es el resultado para 2 triángulos, no 1)
Esto se puede arreglar restándole un 1 a la x para que de esa forma, la fórmula sea válida cuando usamos x=1 triángulo, así que obtenemos:
x=3+2(n-1)
(Esta es la forma general de una secuencia aritmética.)
Ahora bien, esta fórmula puede ser simplificada usando álgebra, así que obtenemos:
n=3+2x-2
lo cual nos da:
n=2x+1
por lo que la expresión numérica que representa el número de fósforos según el número de triángulos es: n=2x+1
Puedes encontrar más información sobre secuencias aritméticas en el siguiente enlace:
https://brainly.com/question/15456604?referrer=searchResults
14. A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's average
speed out was 300 mph. The average speed on the way back was 350 mph. How many hours did the trip out take?
A. 13 hours
B. 8 hours
C. 7 hours
D. 6 hours
Answers
Answer:
C. 7 hours
Step-by-step explanation:
Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...
distance = speed × time
300t = 350(t -1)
300t = 350t -350 . . . . eliminate parentheses
350 = 50t . . . . . . . . . . add 350-300t
7 = t . . . . . . divide by 50
The trip out took 7 hours.
Solve for x 1/4(32x-16)=6x
Answers
Answer:
ohfofhodhodhodohyororoyroyriydiydigdigdyidiydiydiydoyfofororoyforoydoyoydiyriyiriy
How to solve this maths equation??? pls help me, its urgent!!! asap
Answers
Answer:
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{w}[/tex] + [tex]\frac{3}{x}[/tex] - [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{z}[/tex]
Multiply through by wxyz to clear the fractions
2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )
2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )
2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )
x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )
x = [tex]\frac{-3wyz}{2yz-4wz-wy}[/tex] ( multiply numerator/ denominator by - 1 )
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
Look at the picture and answer the question
Answers
Answer:
b
Step-by-step explanation:
Answer:
80 degrees
Step-by-step explanation:
m∠4 is the same as m∠2
I measured it with a protracter
( plz mark me as brainliest, that would be most appreciated! )
PLEASE HELP
Two six-sided fair dice are rolled. The probability that at least one number is odd and the sum of the two numbers is even is *blank . The probability that exactly one number is 6 and the product of the two numbers is at most 15 is * blank .
Answers
Answer:
1/4
1/3
Step-by-step explanation:
If one number is odd, then the other number must also be odd in order for the sum to be even. There are 3 odd numbers per dice, so the probability is (3/6)² = 1/4.
If one number is 6, the other number must be 1 or 2 for the product to be at most 15. The probability is 2/6 = 1/3.
these two polygons are congruent. WZ corresponds to.___ BC DA AB CD
Answers
Answer: These two polygons are congruent. YX corresponds to CD. The correct option among all the options that are given in the question is the first option or option "A".
"MP" is the one angle or side among the following choices given in the question that is common to TRIANGLE NPW and TRIANGLE OMP . The correct option among all the options that are given in the question is the second option or option "B".
Step-by-step explanation:
Answer:
It's AB
Step-by-step explanation:
help plz anyone :( will mark
Answers
Answer:
area of square - area of circle
s² - pie r²
3² - 3.14 x1 x1
9 - 3.14 cm²
your answer is 5.86cm²
this is area of shaded region
nearest hundered is 6cm²
plz brainlist me bro I need it plz
her answer is wrong brainlist me
Answer:
The area of the shaded region is
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the rectangle minus the area of the circle
The rectangle is a square
So.... Plz check rest in the pic!
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
convert 8 1/10 into an improper fraction
Answers
Answer:
81/10
Step-by-step explanation:
12 flowers are planted in a squared garden.How many garden are needed for this purpose?
Answers
answer:
tell us why the other gardens are needed
How do i draw this for this problem?
Answers
Well, an angle bisector is a ray that "bisects" or cuts an angle in half, so, 64/2 = 32. Based off of my understanding of this picture, I would say that you have to drag the dot from point D to about halfway between each side, or, if it gives you the measurement while your moving it, move it to 32° on each side. If that doesn't work, I would try watching the help video :)
This is Solving Linear Equations.
Answers
Answer:
x=12
Step-by-step explanation:
you have to group the like terms in order to solve this equation, this will result to;
5/2x-3/4x=14+7
1.75x/1.75=21/1.75
x=12
I hope this helps
Required solution :
The given equation is,
(5 / 2)x - 7 = (3 / 4)x + 14⇒ 5x - 14 / 2 = (3 / 4)x + 14
Transposing 14 from R.H.S. to L.H.S.,
⇒ (5x - 14 / 2) - 14 = (3/4)x
⇒ 5x - 14 - 28 / 2 = 3x / 4
⇒ 5x - 42 / 2 = 3x / 4
⇒ 4 (5x - 42) / 2 = 3x
⇒ 4 × (5x - 42) / 2 = 3x
⇒ 2 (5x - 42) = 3x
⇒ 10x - 84 = 3x
⇒ 10x - 3x = 84
⇒ 7x = 84
⇒ x = 84 / 7
⇒ x = 12
Therefore, option d that is 12 is correct.
which of the following are exterior angles ? check all that apply
Answers
Answer: A, D,E
Step-by-step explanation:
The exterior angles are the angles that are out of the figure.In this case angle, 4,3 and 2 are all exterior angles.