There are four possibilities...but first does the problem tell you how many total fish were sold?
If not the possible combinations are:
0 angel and 9 clownfish
2 angel and 6 clownfish
4 angel and 3 clownfish
6 angel and 0 clownfish
Pythagorean Theorem is for triangles not circles.
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.
Plug in your given information and simplify.
(x - (- 1))² + (y - 2)² = (3)²
(x + 1)² + (y - 2)² = 9 is your equation.
Let's first find how many ounces the basket can hold.
1 pound is equal to 16 ounces. Multiply that to find how many ounces the basket can hold.
Now, divide the weight held by the basket by the weight of each bag of oranges.
Answer:
y=1/5x + 8/5
Step-by-step explanation:
First you take the reciprocal of -5 which is -1/5.
Then you substitute the values to find the b.
1= -1/5(-3) +b
1=3/5+b
Add 3/5 to both sides
1+3/5= 5/5+3/5
b=8/5
Answer:
See below for detailed explain.
Step-by-step explanation:
Refer to the attachments.
<h3><u>
Part (a)</u></h3>
- Draw a circle (circle O) using a compass.
- Add a point anywhere on the circumference of the circle (point P).
- Draw a straight line from the center O through point P and beyond (blue line).
- Place the point of the compass on point P and set it to any width <u>less</u> than the distance OP. Draw two arcs that intersect the blue line on either side of P. Label the points of intersection of the arcs and the blue line as Q and R.
- Place the point of the compass on point Q and set it to any width <u>greater</u> than QP. Draw an arc to the left of point Q.
- Do not change the width of the compass. Place the point of the compass on point R. Draw an arc which intercepts the arc you just drew. Label the intersection of these two arcs point S.
- Draw a straight line through points S and P (red line). This is the tangent to the circle O.
<h3><u>Part (b)</u></h3>
- Draw a circle (circle O) using a compass.
- Add a point anywhere outside the circle (point P).
- Draw a straight line from the center O to point P (blue line).
- Place the point of your compass on point O and set it to any width <u>more than half</u> the distance from OP. Draw two arcs either side of the blue line.
- Do not change the width of the compass. Place the point of the compass on point P. Draw two arcs that intercept the arcs you just drew. Label the intersections of these arcs points S and T.
- Draw a straight line through points S and T (red line). The point of intersection between the two straight lines is the midpoint of OP. Label the midpoint R.
- Place the point of the compass on the midpoint R and set its width to the center O of the circle. Draw an arc that intercepts the circumference of the circle (Point U).
- Draw a straight line from point P through point U (green line). This is the tangent to the circle O that passes through a point outside the circle.