How do you solve this? Without going into anything to complicated as this should be Year 10 maths
Answers
Given : ABCD is a square with each side 5cm .
To Find : The area of the shaded region .
Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .
If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.
Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;
[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]
Here radius will be equal to 5cm .
⇒ Area = πr² / 4 .
⇒ Area = π (5cm)² / 4 .
⇒ Area = 22/7 × 25 × 4 cm².
⇒ Area = 19.64 cm² .
So , total area of both quadrants = 39.28 cm² .
Also , area of square will be :
[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]
⇒ Area = 5cm × 5cm .
⇒ Area = 25 cm².
Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².
Similarly area of other white region = 5.36cm² .
And the areas sum will be = 5.36cm² × 2 = 10.72cm² .
Now , from the figure it's clear that ,
⇒ Area of unshaded region + Area of shaded region = 25cm².
⇒ 10.72cm² + ar( Shaded region ) = 25cm².
⇒ ar ( Shaded region ) = 25cm² - 10.72cm².
⇒ ar ( Shaded region ) = 14.28 cm².
Hence the area of shaded region is 14.28 cm².
[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]
Related Questions
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Answer:
Yayee
Step-by-step explanation:
Jags rvhdv f hdidbdjbfjfoc. S in thrift Nd
Solve the following equation: 7a-5=2a-15
Answers
Answer:
7a-5=2a -15
7a-2a=-15+5
5a=-10
5a/5=-10/5
a=-2
The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?
Answers
Answer:
48, 60 and 72
Step-by-step explanation:
Given;
The ratios of the angle in the triangle = 4:5:6;
Unknown:
The angle of the triangle = ?
Solution:
We must understand that the sum of angles in a triangle is 180°
So as ratios; 4:5:6 denotes some certain multiples that sums up to 180°
Let the multiple number = x; so
4x : 5x : 6x
4x + 5x + 6x = 180
15x = 180
= 12
The angles in the triangles are:
4(12) : 5(12) : 6(12)
48 : 60 : 72
These angles are 48, 60 and 72
Between which pair of numbers is the of exact product
379 and 8
Answers
Answer:
3032
Step-by-step explanation:
379 x 8 = 3032
use math, also box method
Which diagram is not the graph of a function? Group of answer choices
Answers
Answer:
c
Step-by-step explanation:
because it is in circular shape
lincoln middle school has a total of $200 to spend on notebooks and tablets
Answers
Answer:
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Step-by-step explanation:
Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?
Answers
Answer:
x₁ = 60 pantalón de buzo
x₂ = 0 casaca
z(max) = 540 unidades de monedas
Step-by-step explanation:
El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)
z = 9*x₁ + 12*x₂ a maximizar
Sujeto a:
1) Primera restricción disponibilidad de algodón 500 m de tela
1*x₁ + 2*x₂ ≤ 500
2)Segunda restricción disponibilidad de poliester 520 m de tela
2*x₁ + 1*x₂ ≤ 520
3) Tercera restricción tiempo disponible 8 h/d * 5 d/s = 40 h/s
40 * 60 = 240 minutos disponibles, entonces
4*x₁ + 10*x₂ ≤ 240
4)Restricciones generales x₁ ≥ 0 ; x₂ ≥ 0 ambas solo deben tomar valores enteros
Con el uso del calculador en línea se obtiene:
x₁ = 60
x₂ = 0
z(max) = 540
6 1/2 divided 3/8 of goldfish crackers
Answers
Answer:
I think it is 8
Step-by-step explanation:
6 1/2 divided by 3/8 = 8
hope this helped
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Answers
Answer:
C≈31.42
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
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a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves
Answers
Answer:
8.49 per pair/pack of gloves
Step-by-step explanation:
i got this by taking 33.96 divided by 4 so i could find out how much for one pair
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Prove that cos x + cos 3x + cos 5x + cos 7x = 4cos x cos 2x cos 4x
Answers
Step-by-step explanation:
Prove the following?
cos7x+cos5x+cos3x+cosx=4cosxcos2xcos4x
2
SEE ANSWERS
Answer
3.4/5
36
LHS=cos7x + cos5x + cos3x + cosx
=2cos[(7x+5x)/2].cos[(7x-5x)/2] + 2cos[(3x+x)/2].cos[(3x-x)/2]
[∵ cosA + cosB = 2.cos[(A+B)/2].cos[(A-B)/2]]
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=2cos 6x.cosx+2cos2x.cosx
=2cosx(cos 6x+ cos 2x)
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The number of pages that Armando, Billy, Robert, and Joel can read in a day is shown below.
Armando read 15% of his 46-page book.
Billy read 11% of his 72-page book.
Robert read 12% of his 68-page book.
Joel read 14% of his 69-page book.
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a Armando
b Joel
c Billy
d Robert
Answers
Answer: B. Joel
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
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#StudyTogetherWithMe
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation
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Step-by-step explanation:
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What are the terms? Separate them with a comma.
Answers
(I also added a picture)
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Answers
Answer:
$7.35
Step-by-step explanation:
To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35