Answer:
275 minutes 12 seconds
Step-by-step explanation:
Given that :
slowest running time per mile = 9 minutes and 14 seconds
fastest running time per mile = 7
minutes and 58 seconds.
To estimate the time taken to run 16 miles ;
Obtain the Average of the two run times :
(9 minute 14 seconds) + (7 minutes 58 seconds) = 17 minutes 12 second
Hence it takes an average of 17 minutes 12 seconds per mile
Time taken to run 16 miles :
((17 * 60) + 12) * 16 = 16512 seconds
16512 / 60 = 275 minutes 12 seconds
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
since a diameter is twice as long as the radius, this one is also
2r.
Two angles are complementary when their sum is equal to 90°.
So, ( 2x + 39 ) + ( 7x - 21 ) = 90°
9x + 18° = 90°
x = 8°
Putting value of x in the angles given :
( 2x + 39 )° = 2(8°) + 39° = 55°.
( 7x - 21 )° = 7(8°) - 21° = 35°.
Therefore, the angles are 55° and 35°.
Hence, this is the required solution.
