Answer:
a) <em>Arc length (l) = 36 inches</em>
b)
The nearest angle in degrees θ = 103.18°
Step-by-step explanation:
<u><em>Step(i):</em></u>-
An arc has a central angle of 1.8 radians and a radius of 20 inches.
Given arc has a central angle of 1.8 radians and
radius of circle = 20 inches
Given arc has a central angle (θ ) = 1.8 radians
<em> Arc length (l) = r θ </em>
<em> l = 20 × 1.8 radians</em>
<em> l = 36</em>
The length of arc = 36 inches
b)
<em>we will convert radians to degree</em>
<em> 1.8 × 180° / π = 324° / π ≅ 103.18°</em>
The nearest angle in degrees θ = 103.18°
Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
A) £3264000.
. £1000 increased by 5000% =£51,000
. £51,000×64=£3264000
B) £6528000
. £2000 increased by 5000% =£102,000
. £102,000×64=£6528000
Step-by-step explanation
Answer:
12 (or A)
Step-by-step explanation:
A coefficient is the number before a variable.
Examples: 5r , 34y, 10x^2 (the coefficients are 5, 34, and 10)
12 has a variable after it, so 12 is a coefficient.
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
