Answer:
The area of the circle is 56.25π cm²
Step-by-step explanation:
- The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
- The formula of the area of a circle with radius r is A = πr²
<em>To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area</em>
∵ The circumference of a circle is 15π centimeters
∵ C = 2πr
- Equate 2πr by 15π
∴ 2πr = 15π
- Divide both sides by π
∴ 2 r = 15
- Divide both sides by 2
∴ r = 7.5 centimeters
Now let us use the rule of the area to find it
∵ A = πr²
∴ A = π(7.5)²
∴ A = 56.25π centimeters²
The area of the circle is 56.25π cm²
4 quadrant because on a graph a + and + are 1 then a - and a + are 2 then a - and a - are 3
Didnt feel like doing them all , i only attempted to answer the first one which is " a " ( -6 ) hope i helped :)
Answer:
a. $3600
b. 6:5
Step-by-step explanation:
Put the question into an equation:
8x - 1/4 x 8x = 5x + 450
(simplify before solving) 6x = 5x + 450
(solve) 6x-5x = 450
x = 450
This means that Jimmy had 8 x 450 $ to start with = 3600
you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!
Now ratio of new amounts:
Jimmy now has: $2700
John still has: $2250
so ratio is 2700:2250
simplify to 6:5
Hope this helps
Please mark brainiest
Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w

subtract 21 on both sides

now solve for 'w'

0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards