Answer:
<h2>11.72cm</h2>
Step-by-step explanation:
Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.
Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);
hyp² = opp² + adj²
Let the opposite be the 9cm length
Adjacent will be half of the chord length = 15/2 = 7.5cm
Substituting this values into the formula we will have;
hyp² = 9² + 7.5²
hyp² = 81+56.25
hyp² = 137.25
hyp² = √137.25
hyp = 11.72
<em></em>
<em>Hence the radius of the circle is approximately 11.72 cm long</em>
Answer:
3,537,438 square miles of total land area in the U.S.
Step-by-step explanation:
3,483,511 + 53,927 = U.S.
3,537,438 square miles of total land area in the U.S.
Answer:
280,000
Step-by-step explanation:
10^5=100,000
2.8 x 100,000=280,000
Step-by-step explanation:
Add 8n to both sides to get
8n-67 = 5
then add 67
8n = 5+67 = 72
divide by 8
n = 9
1) Make an equation:
Where x represents the unknown amount (the number of shells)
2) Solve for x
Combine the x's
Divide 40 by 5 to get X alone
3) Answer:
Manny collected 32 seashells, while Cameron only collected 8
