Can someone help me please

Mathematics

1 answer:

Anarel [89]1 year ago

6 0

Answer:

Step-by-step explanation:

I made a table with a pretend number of years of teaching by picking a somewhat random number to start

"Clark has less seniority than Cornwall but more than Prendergast:" I picked 3 for Clark 4 for Cornwall, and 2 for Prendergast, to start.

"Prendergast has more than Brown but less than Alexander:" I see I'm running out of easy numbers here. "Prendergast has more than Brown" means give Brown 1 year but this new teacher, Alexander needs a number between Clark and Prendergast. To make room, I increased Clark and Cornwall by 1 and finished the remainder in the "Final Years" column:

Teacher Years Final Years

Clark 3 4

Cornwall 4 5

Prendergast 2

Brown 1

Alexander 3

The highest seniority teacher, Cornwall, is smart and refuses the job. That leaves Clark, at number 2 seniority, to become the new supervisor.

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Find the measure of angle X in the triangle below.

Elan Coil [88]

Answer:

X = 89.92° or 90.08°

Step-by-step explanation:

The law of sines can be used to find the value of angle X:

sin(X)/26 = sin(67.38°)/24

sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787

There are two values of X that have this sine:

X = arcsin(0.99999901787) ≈ 89.92°

X = 180° -arcsin(0.99999901787) ≈ 90.08°

There are two solutions: X = 89.92° or 90.08°.

_____

Comment on the problem

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

3 0

2 years ago

Read 2 more answers

5. Enter the answer as a decimal

Hitman42 [59]

Answer:

6.5%

Step-by-step explanation:

I = prt

5616 = 7200 × r × 12