Answer:
Area = 20.28 cm^2
Perimeter = 16.28 cm
Step-by-step explanation:
The figure is composed of a half circle and a rectangle,
The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.
Therefore the area is :
Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2
The perimeter is :
Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm
Answer:
The answer is -2/3.
Hope this helps and if you could mark as brainliest. Thanks!
The answer is true.
Really all you ever need is two points and you should find an equation.
To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b).
Thus, we have
9x² = 4
9x² - 4 = 0
(3x)² - (2)² = 0
(3x + 2)(3x - 2) = 0
We now have two linear equations:
3x + 2 = 0 | 3x - 2 = 0
3x = -2 | 3x = 2
x = -2/3 | x = 2/3
Thus, x = +2/3 and -2/3.<span>
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Answer:
23 yellow, 30 pink and 12 blue balls
Step-by-step explanation:
Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.
<em>From 1st sentence:</em>
y +p +b +x= 90
<em>"</em><em>60</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>pink</em><em>"</em><em> </em>
➜ y +b +x= 60
Given that 25 are black, x= 25.
<em>"</em><em>67</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>yellow"</em>
➜ p +b +x= 67
Subst. x= 25 into the above equations:
y +p +b +25= 90
y+ p +b= 65 -----(1)
y +b +25= 60
y +b= 35 -----(2)
p +b +25= 67
p +b= 42 -----(3)
I will rewrite the 3 equations for better clarity:
y +p +b= 65 -----(1)
y +b= 35 -----(2)
p +b= 42 -----(3)
(1) -(2):
p= 65 -35
p= 30
(1) -(3):
y= 65 -42
y= 23
Substitute p= 30 and y= 23 into (1):
23 +30 +b= 65
b= 65 -53
b= 12
Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.
