Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
- There are <u>3 feet in 1 yard</u>
Converting yards to feet, wee need to multiply the number of yards by 3
Since the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
Answer:
(a) 90°
(b) 8.75
(c) 63.75°
(d) 26.25°
Step-by-step explanation:
(a) A radius to a point of tangency is always perpendicular to the tangent line there. Q is the point of tangency of line PQ, so the segment RQ from the center of the circle, R, to that point makes a 90° angle with PQ. Angle RQP is 90°.
(b) The sum of the acute angles of a right triangle is 90°, so ...
(5x +20)° + (3x)° = 90° . . . . . the sum of the acute angles is 90°
8x + 20 = 90 . . . . . . . . . . . . simplify, divide by °
8x = 70 . . . . . . . . . . . . . . . . . subtract 20
70/8 = x = 8.75 . . . . . . . . . . . divide by the coefficient of x
(c) ∠QRP = (5x+20)° = (5·8.75 +20)° = 63.75° . . . . . use the value of x in the expression for the angle measure
(d) ∠RPQ = (3x)° = (3·8.75)° = 26.25° . . . . . use the value of x in the expression for the angle measure
Answer:
D
Step-by-step explanation:
Given that the lead actor is 5 feet 9 inches tall, converting this to meters we shall have:
1 ft = 0.3048 m
therefore 5 ft will be:
(5/1)×0.3048
=1.524m
next:
1 in = 0.0254 m
therefore 9 inches will be:
(9/1)×0.0254
=0.2286 m
hence; 5 ft 9 inches will be equivalent of:
(1.524+0.2286) m
=1.7526 m