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:
A
Step-by-step explanation:
The length of the building in the scale drawing is 31. 25 Inches
<h3>How to determine the value</h3>
From the information given, we have that;
- Scale drawing was used
- 0. 25 inches represents 2 feet
- The length of the building is 250 feet
Then,
If 0. 25 inches = 2 feet
Then x inches = 250 feet
cross multiply
x × 2 = 0. 25 × 2500
Multiply through, we have;
2x = 62. 5
Make 'x' the subject by dividing both sides by 2
2x/2 = 62. 5/ 2
x = 31. 25 Inches
Thus, the length of the building in the scale drawing is 31. 25 Inches
Learn more about scale drawing here:
brainly.com/question/25324744
#SPJ1
Answer:
4/20
Step-by-step explanation:
8 socks we don't know
1 sock 19 socks
11 white
1 more sock 7 /20 chance to pick a random sock
3x+5x= 8x
I hope this helps !!
