Answer:
75 cm
Step-by-step explanation:
∅=90° , r = 21 cm
Arc length= (2πr∅)/360
=(2π×21×90)/360
=33 cm
Perimeter= arc length + 2(radius)
=33+2(21)
=33 + 42
= 75 cm
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?
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.
these two polygons are congruent. WZ corresponds to.___ BC DA AB CD
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:
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.
Answer:
4 cars and 5 buses
Step-by-step explanation:
245÷ 45=5.4
45×5=225
245-225=20
20÷5=4
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
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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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?
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.
please help on this too
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
Please help me asap it's for a grade.
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!! :)
help plz anyone :( will mark
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!
which of the following are exterior angles ? check all that apply
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.
Math problem. If answered correct will give brainliest
Please answer :)
Answer:
Step-by-step explanation:
45n = (9 x 25) + 4 + (2x4)
45n = 225 + 4 + 8
45n/45 = 237/45
n = 5.26666...7
exactly 5.26666...7 buses would be needed.
realistically 6 buses are needed, as you cannot have part of a bus operating like a normal one
the exact answer can be classified as a rational number as it can represent a fraction.
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!!!!
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
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.
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.
convert 8 1/10 into an improper fraction
Answer:
81/10
Step-by-step explanation:
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 .
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.
12 flowers are planted in a squared garden.How many garden are needed for this purpose?
answer:
tell us why the other gardens are needed
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?
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
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f(x)=-(x+2)^2+3 put in standard form
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.
How do i draw this for this problem?
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 :)
Look at the picture and answer the question
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! )
How to solve this maths equation??? pls help me, its urgent!!! asap
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]
Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56
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.
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?
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
23458+98432 find the sum
Answer:
121,890
Step-by-step explanation:
23458+98432
=121,890
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
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.
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
Answer:
the answer is D. range......
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
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
This is Solving Linear Equations.
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.
Solve for x 1/4(32x-16)=6x
Answer:
ohfofhodhodhodohyororoyroyriydiydigdigdyidiydiydiydoyfofororoyforoydoyoydiyriyiriy
Help needed fast!!!
Answer:
The answer is A
Step-by-step explanation:
It has to exceed not be same or equal to
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.
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)