Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer
Answer:
Perimeter of rectangle = 2(l+b)
= 2(8+5)cm
= 2*13 cm
= 26cm
Answer:
<u><em>3.5 °C</em></u>
Step-by-step explanation:
- To find the answer multiply 3 and 7 to get the sum of the temperatures in the first seven days.
3 x 7 = 21
- Add 21 and 8 together to get the sum of the temperatures in the first 8 days.
21 + 8 =29
- Divide 29 by 8 to get the mean temperature for the first eight days.
29 ÷ 8 = 3.5
3.5 °C
B is false but C and D are true
Answer:
-4>-5
Step-by-step explanation:
In negative numbers, a larger base number is smaller than a smaller base number.