Answer: 30% of 500 is 150.
Answer:
Stephen has 9 trees
Alice has 21 trees
Step-by-step explanation:
<u>At the beginning:</u>
Stephen = x trees
Alice = x + 12 trees
<u>At the end:</u>
Alice = (x + 12) - 4 trees
Stephen = x + 10 trees
Total = 36
Then
Stephen - 9 trees
Alice - 9 + 12 = 21 trees
Answer:
- (x + 10)² + (y + 4)² = 232
Step-by-step explanation:
<h3>Given </h3>
- Center = (-10, -4)
- Point on circle = (4, 2)
<h3>To find </h3>
<h3>Solution</h3>
<u>Remember the standard equation of circle:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius
<u>We have</u>
Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>
- r² = (-10 - 4)² + (-4 - 2)²
- r² = 14² + 6²
- r² = 232
<u>So the equation is:</u>
- (x + 10)² + (y + 4)² = 232
Answer:
let the width be x inches
then the length would be 3x inches
perimeter of rectangle = p = 2(l+b)
100= 2(3x+x)
100= 2(4x)
100=8x
x=100/8
x=12.5 inches
thw width is 12.5 inches and length is 3*12.5=37.5 inches
Step-by-step explanation:
