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.
Answer:
Step-by-step explanation:
Given expression:
Distribute the -1/4:
Simplify:
A 0.145-kg baseball pitched horizontally<span> at </span>27 m/s strikes<span> a </span>bat<span> and is </span>popped straight up<span> to a</span>height<span> of </span>43 m<span>. </span>If<span> the </span>contact time between<span> the </span>bat<span> and the ball is</span>
Answer: $ 11,232.00
Step-by-step explanation:
Given: Amount = $ 10,800
Interest Rate = 8% =0.08
Time in Months= 6.00
Formula :
Interest on Note = (Amount)× (Interest Rate) × ((Time in Months) /12)
= (10800)× (0.08)× (6/12)
= $432
The amount of the borrower's check =(Amount + Interest on Note)
= $ (10,800+432)
= $ 11,232.00
Hence, The amount of the borrower's check = $ 11,232.00
I'm not going to do the entire question, but I'll do the first part.
For the first part, you have to set up an inequality. Use context clues, such as
no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:
6400
250r + 475p
where r represents the # refrigerators, and p represents the # pianos
Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.
Hope this helps! :)