Answer:
x = 133
Step-by-step explanation:
Supplementary angles add to 180 degrees. Call the unknown angle x
47 +x = 180
Subtract 47 from each side
47-47+x =180-47
x = 133
Answer:
after 9 weeks it would become 9*1+10=19 inches
and after w weeks it will be w*1+10 inches tall
hope this helps
Step-by-step explanation:
Answer:
The dimensions are 5 m by 20 m.
Step-by-step explanation:
The area = length * width = 100 m^2.
2 times the width + the length = 30 m.
So we have the equations:
wL = 100
2w + L = 30
From the first equation:
L = 100/w so substituting in the second equation, we have:
2w + 100/w = 30
Multiply through by w:
2w^2 + 100 = 30w
2w^2 - 30w + 100 = 0 Divide by 2:
w^2 - 15w + 50 = 0
(w - 5)(w - 10) =
w = 5 or 10m.
So L = 100/5 or 100/10
= 20 or 10.
As it is rectangular then w = 5 and L = 20.
Answer:
a=((w/3)-b)/2
Step-by-step explanation:
w=3(2a+b)
Divide both sides by 3
w/3=2a+b
Subtract b from both sides
(w/3)-b=2a
Divide both sides by 2
((w/3)-b)/2=a
State your answer
a=((w/3)-b)/2
Answer:
A = 139.25 cm^2
Step-by-step explanation:
The composite shape is made up of a square with side 10 cm and a semicircle with diameter 10 cm. The area of the composite shape is the sum of the two areas. The diameter of the semicircle is the side of the square, and the radius of the circle is half of the diameter.
A = s^2 + (1/2)(pi)r^2
r = d/2 = s/2
A = (10 cm)^2 + (1/2)(3.14)(10 cm/2)^2
A = 100 cm^2 + (1/2)(3.14)(25 cm^2)
A = 139.25 cm^2
