Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms. Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calcute when they would be 400 mphs apart and how long would it take to happen

Correct question is;

Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calculate when they would be 400 miles apart and how long would it take to happen

They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours

Step-by-step explanation:

Since Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south,then the distance between them will be the hypotenuse of a right angle triangle.

Now, we are told that Ms. Ironperson is traveling at 50 mph and that Mr. Thoro is traveling at 60 mph.

Thus, if we want to find when they would be at 400 miles apart, it means we have to find the distance Ms. Ironperson and Mr. Thoro would have covered after a time "t".

Thus,

Ms. Ironperson covered 50t miles

Mr. Thoro covered 60t miles

Therefore, since their location forms a right angled triangle, then we can use pythagoras theorem and we have;

(50t)² + (60t)² = 400²

This gives;

2500t² + 3600t² = 160000

6100t² = 160000

t² = 160000/6100

t = √(160000/6100)

t ≈ 5.12 hours

Thus, for Iron person, distance covered is: 50 × 5.12 = 256 miles

For Mr. Thoro, distance covered is: 60 × 5.12 ≈ 307 miles.

They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.