Perimeter is 18 1/6 feet.
Perimeter is solved by adding the length and width of the rectangle and multiplying the sum by 2.
P = 2(l + w)
length = 5 1/3 ⇒ (5*3)+1/3 = 16/3
width = 3 3/4 ⇒ (3*4)+3/4 = 15/4
In adding fractions, make sure that the denominators are the same. Both 3 and 4 are factors of 12. So, we need to multiply each fraction to get 12.
16/3 * 4/4 = 64/12
15/4 * 3/3 = 45/12
Length + Width = 64/12 + 45/12 = (64+45)/12 = 109/12
P = 2 * 109/12
P = 218/12
P = 18 2/12 ⇒ 18 1/6 feet
12 hundreds+8 tens+7 ones =
12*100 + 8*10 + 7*1 =
1200 + 80 + 7 =
1287 ← answer
Answer:
\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}
Step-by-step explanation:
Let b = the mass of a bowl
and c = the mass of a cup
We have two conditions:

Calculations:

Check:

OK.
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Answer:
1)b
2)d)80/360×36π≈25.12cm²
4)d)32.5
5)c)135°
6)d)4π/3
Step-by-step explanation:
1) because as we know
Circle equation
=(x-a)²+(y-b)²=r²
=(x-5)²+(y+1)²=36 (given)
=(x-(+5))²+(y-(-1))²=6²
So
C(5,-1)and r=6
2)as we know area of sector
=Theta/360×πr²
=80/360×6²π
80/360×36×3.14
80/10×3.14
=25.12
4)to figure out 4 we have to separate the shape into 2 parts
First semi-circul
Second rectangle
So the parameter of the shape
=Circumference of semi-circul + the parameter of the rectangle
=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)
=[15.7+26.8]-10
=32.5
5)3π/4
3×180/4
540/4
135
6)240°
240°×π/180°
4π/3