Does the point (3,-1) lie on the circle (x+1)2 +(y-1)2=16?

An athletics squad trains on a long straight track with dots marked at 10m intervals. The coach sets out cones on some of the do

Sedaia [141]

Answer:

There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters

Step-by-step explanation:

The parameters given are

Distance between two cones = 10 m

Number of cones = 4

Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = $\binom{4}{2}$ = 6

Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.

8 0

3 years ago

Please help me it takes so long to do this please

leonid [27]

Answer:

x = 117°

Step-by-step explanation:

The angle inside the triangle and 101° are adjacent and supplementary, thus

angle inside triangle = 180° - 101° = 79°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , thus

x = 38° + 79° = 117°

8 0

3 years ago

Read 2 more answers

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C