Answers
Exact Area = 25pi square units
Approximate Area = 78.5 square units
The approximate value is found using pi = 3.14
====================================================
Explanation:
I think you meant to say "quarter circle" instead of "semicircle".
The area of a full circle with radius r = 10 is
A = pi*r^2
A = pi*10^2
A = pi*100
A = 100pi
But we only want one quarter of this. So we divide the full area by 4
(100pi)/4 = (100/4)pi = 25pi
The exact area in terms of pi is 25pi square units
If we used the approximation pi = 3.14, then we can say 25*pi = 25*3.14 = 78.5 is the approximate area
To get a better approximation, use more decimal digits in pi.
Related Questions
Escribe 2 ejemplos que contengan universo, población y muestra. Pueden ser de artículos de tu agrado como: celulares, motos, consolas de juegos, etc.
Answers
Responder:
Teléfonos móviles :
Universo - -> {todos los teléfonos móviles} - unidad experimental
Población - -> {Samsung, tecno, LG, iPhone, Motorola, Huawei, .....} - -> valores variables de unidades experimentales
Muestra - - -> {Samsung, tecno, iPhone} - selección aleatoria de datos de población
Países europeos :
Universo - -> {todos europeos} - unidad experimental
Población - -> {Inglaterra, Noruega, Turquía, Italia, Francia, Holanda, .....} - -> valores variables de todos los países europeos
Muestra - - -> {España, Alemania, Polonia} - selección aleatoria a partir de datos de población
Explicación paso a paso:
Haciendo distinción entre universo, población y muestra. Univerae y la población se describen como sinónimos en algún texto. Sin embargo, otros textos estadísticos hicieron diferencias sutiles entre ambos; con el universo que se dice que contiene todas las unidades experimentales. ; siendo población el conjunto de valores de la variable. Sin embargo, podemos asumir de manera concluyente que ambos son sinónimos, ya que de ellos se extrae una muestra que es un subconjunto de un conjunto de datos más grande (población).
Is 30% of 70 is the same as 3/7 of 70?
Answers
Answer:
No
Step-by-step explanation:
30% is the same as 3/10
3/7 is about the same as 43%
There is a difference among the percentage so no it's not correct
Yes, the value 30% of 70 is the same as 3/7 of 70.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
To show this mathematically, we can start by calculating 30% of 70:
30% of 70 = (30/100) x 70
= 0.3 x 70
= 21
Now, let's calculate 3/7 of 70:
3/7 of 70 = (3/7) x 70
= 30/100 x 70
= 0.3 x 70
= 21
As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.
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Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD
Answers
Answer:
27633883532
2732937293739
839364923274693
93730347395393649364
027402649249364
026393473849337
92739262926382
193
19632963286392
92539253925292
9279253285292
2283792
88248935392
926263925392
7363854276393
233
Ayça, bir masanın uzun kenarını karışıyla 12 karış olarak ölçmüştür. Karışı 2 cm daha uzun olsaydı
masanın uzun kenarını 1 karış daha az olarak ölçecekti.
Buna göre Ayça'nın karışıyla ölçmek istediği masanın uzun kenarı kaç santimetredir?
Answers
Answer:
sen türksün be ne işin var senin burada
what is the appropriate unit of measure for the mass of a steel cabinet?
Answers
If you can pick it up with your fingers or one hand - grams.
If you can move it about, and maybe load it on a truck by yourself - kilograms.
If you can’t even budge it without help - tonnes.
Please help asap I will give you brainliest Find the area of the shaded region
Answers
Answer:
36
Step-by-step explanation:
Area of total region = 12 ×5
=60
Area of the small region = 8×3
=24
Area of shaded region = Area of Total region - area of small region
= 60 - 24
= 36
solve the problem: -10 + +10 =
Answers
Answer:
0
Step-by-step explanation:
-10+ + 10
-10+10
0
Five decreased by twice a number
Answers
Answer:
5-2x
Step-by-step explanation:
help plssss i give brainliest
Answers
Answer:
(7, - 2 )
Step-by-step explanation:
Given the 2 equations
x = - 3y + 1 → (1)
- 3x - 3y = - 15 → (2)
Substitute x = - 3y + 1 into (2)
- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side
9y - 3 - 3y = - 15
6y - 3 = - 15 ( add 3 to both sides )
6y = - 12 ( divide both sides by 6 )
y = - 2
Substitute y = - 2 into (1) for corresponding value of x
x = - 3(- 2) + 1 = 6 + 1 = 7
solution is (7, - 2 )
In a game, Theodore received a handful of coins (pennies, nickels, dimes, and quarters) as a prize. When he got home, he found that he had managed to get $2.09 in change. He noticed that he had three times as many pennies as dimes, one more nickel than dimes, and twice as many.quarters as dimes. How many quarters did Theodore get in his prize? F. 4 G. 5 9 'H J. 7 K. 8
Answers
Answer:
6
Step-by-step explanation:
https://web2.0calc.com/questions/algebra_69756
Theodore get 6 quarters in Prize.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let p the number of pennies, d be the number of dimes, n be the number of nickels and q be number of quarters.
So, the expressions are
p = 3d
n = d+1
= 5(d+1)
d = 10d
and, q = 2d
= 25 (2d)
and, the total is = $209
= 209
Then,
3d + 5(d+ 1) + 10d +25 ( 2d) = 209
68d + 5 = 209
d = 3
Thus, the number of quarters = 2d = 6 quarters.
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❄️✨⚡️WILL MARK BRAINLIEST⚡️✨❄️
Answers
b. -10 each time
c. The height of the slide/ the height at the top of the slide
d. 6 seconds. when Kirk is on the ground ( 0 feet off the ground), 6 seconds have past. You can see this in the point (6,0)
I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!
Answers
Answer:
x = 3
y = 4
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Solve the triangle. Round decimal answers to the nearest tenth.
Answers
Answer:
x = 5.7 y = 9.4
m∠H = 31°
Step-by-step explanation:
cos of an angle = adjacent side/hypotenuse
and sine of an angle = opposite side/hypotenuse
cos 59 = x/11 and sin 59 = y/11
11 cos 59 = x 11 sin 59 = y
x = 5.7 y = 9.4
m∠H = 90 - 59 = 31°
You need to memorize the definitions of all the trig functions and then these types of problems will be easy for you.
[tex]x=5.7[/tex], [tex]y=9.4[/tex] and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.
What is trigonometric ratio?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below :
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
What is the sum of angle of triangle?The sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn)
According to question,
In Δ FGH ,
∠G = 59°
Hypotenuse of triangle = 11
Base of triangle according to the ∠G = x
Perpendicular of triangle according to the ∠G = y
Now,
Cosθ = [tex]\frac{Base}{Hypotenuse}[/tex]
[tex]Cos[/tex] 59° = [tex]\frac{x}{11}[/tex]
[tex]x[/tex] [tex]=11[/tex]× [tex]0.515[/tex] ( Cos59° = [tex]0.515[/tex] )
x [tex]=5.7[/tex]
Sinθ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
[tex]Sin[/tex] [tex]59[/tex]° [tex]=\frac{y}{11}[/tex]
[tex]y=11[/tex] * 0.857
y [tex]=9.4[/tex]
According to the sum of angle of triangle
∠F + ∠G +∠H = 180°
90° + 59° + ∠H = 180°
∠H = 180° - 90 -59
∠H = 31°
Hence,[tex]x=5.7[/tex], [tex]y=9.4[/tex] and ∠[tex]H[/tex][tex]=31[/tex]° is the solution of the triangle.
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please help solve this but don't spam ( Transposition method )
Answers
Answer:
x = -⁷/9
Step-by-step explanation:
[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]
Multiply both sides by 3
[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]
[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]
Multiply both sides by 2
[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]
[tex] 2(9x - 8) = 3(9x - 3) [/tex]
[tex] 18x - 16 = 27x - 9 [/tex]
Subtract 27 from each side
18x - 16 - 27x = 27x - 9 - 27x
-9x - 16 = -9
Add 16 to both sides
-9x - 16 + 16 = -9 + 16
-9x = 7
Divide both sides by -9
-9x/-9 = 7/-9
x = -⁷/9
5) 15 – 3(x + 2) ??????????????????????
Answers
Answer:
-3x + 9
Step-by-step explanation:
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)
Answers
Answer:
Step-by-step explanation:
(-2 - 2)/(-4 + 2)= -4/-2= 2 is the slope
y - 2 = 2(x + 2)
y - 2 = 2x + 4
y = 2x + 6 is the equation
Answer:
The slope is 2
Step-by-step explanation:
Hope this helps！
i need help ASAP 6th grade work!!!!! HELP
Answers
Answer:
y=7miles
Step-by-step explanation:
The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.
We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.
21-14=7miles
Answer:
y=7 mi
Step-by-step explanation:
If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7
Chris needs to recover his drumhead. The drumhead's circumference is 40.82 inches. What is the area of the drumhead that needs to be covered? 1. 6.5 to the power of 2 (inches) 2. 132.67 to the power of 2 (inches) 3. 128.17 to the power of 2 (inches) 4. 64.09 to the power of 2 (inches)
Answers
Answer: 132.67 to the power of 2 (inches)
Step-by-step explanation:
The circumference of a circle is given as 2πr. Therefore, in his case,
2πr = 40.82
2 × 3.142 × r = 40.82
6.284r = 40.82
radius = 40.82/6.284
radius = 6.5 inches
Area will now be:
= πr²
= 3.142 × 6.5²
= 3.142 × 42.25
= 132.75 inches²
Therefore, the closest answer will be 132.67 to the power of 2 (inches).
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answers
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Answers
Answer:
I think it would be 25m + 10b = 400
an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100
Answers
Answer: D
Step-by-step explanation:
If 30% failed then (100-30)% passed
That is 70%
let x be the number of students that wrote the exam
(70/100)x=210
x=21000/70
x=300
The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?
Answers
Answer:
$45
Step-by-step explanation:
17.95÷2 = 8.975
8.975 × 5 = 44.875
Round to $45
Answer:
$45
Step-by-step explanation:
17.95/2 would be 8.975
then 8.975 times 5 would be 44.875
rounding it to the dollar would be about 45 dollars
hope this helps
f(x) = 5x-3
slove this its is Evaluate functions
Answers
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2
Answers
Answer:
C) -7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6
simplify -14/6 to -7/3
Which side of DEF is the longest?
A. DE
B. EF
C. DF
D. Cannot be determined
Answers
[tex] \huge {\tt{Answer:}} [/tex]
A. DE
Option (A) DE side of the triangle DEF is the longest side.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.
The sum of the interior angles of a triangle is equal to 180°.
⇒ [tex]\angle D+\angle E+\angle F=180[/tex]
⇒ [tex]65+42+ \angle F=180[/tex]
⇒ [tex]\angle F=180-107[/tex]
⇒ [tex]\angle F=73[/tex]
The side corresponding to the ∠D is EF, ∠E is DF, ∠F is DE
The angle which is greater has the longest side.
⇒ [tex]\angle F > \angle D > \angle E[/tex]
⇒ [tex]DE > EF > DF[/tex]
Thus the side DE has the longest length.
Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.
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entre 4 grupos de un colegio recolectaron 200kg de papel para reciclarlo.el primer grupo recogio 60 1/4 kg el segundo 13 1/5 y el tercero 45,93 kg cuanto recogio el cuarto grupo?
Answers
Answer:
segun yo es asi no confies mucho en mi
Step-by-step explanation:
200 kg total de papel
primer grupo= 60kg
segundo= 13kg
tercero= 45.93
cuarto= x
si sumamos el total recolectado por los tres primero grupos
60+13+45.93
esto nos da
118.93
si en total se recgio 200kg de basura y tenemos que los tres primeros grupos recogieron 118.93, entonces solo queda restar el total menos lo recolectado
200-188.93= cuarto grupo
cuarto grupo=81.07kg
Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 times as many messages as alan. How many messages did they each send?
Answers
Answer:
Salma, joe, and alan sent 14, 69, and 23 text messages respectively
Step-by-step explanation:
Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that
s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively
Given salma sent 9 fewer messages than alan
s = a - 9
Joe sent 3 times as many messages as alan
j = 3a
hence
a - 9 + 3a + a = 106
5a - 9 = 106
5a = 106 + 9
5a = 115
Divide both sides by 5
a = 115/5
= 23
s = 23 - 9
= 14
j = 3* 23
= 69
find a, b (3a- 2) (A+10 ) (3b - 15) (2b +5)
Answers
6b2+15b-30b-75=6b2-15b-75
Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!
Answers
Answer:
did you ever figure out what the answer was it was because working on this and don't know what to do
Step-by-step explanation:
Answer:
Rational Numbers: √400 | -5/250 | 5.012121212...
Irrational Numbers: √1000 | ^3√30 | 0.01562138411...
need help solving..........
Answers
Answer:
Angle A always equal angles T
the first answer
Answer: sry i dont know
Step-by-step explanation: