Find the distance between points (30, 24) and (1, 21). round to the nearest hundredth if necessary.

The distance between (30,24) and (1,21) is about 29.15 units

Step-by-step explanation: It may help to sketch the points on a graph to see where they are, and get an idea of the shape of the right triangle that would be formed. The distance between the points is the hypotenuse of the triangle, so the Pythagorean Theorem will solve for the distance.

a² + b² = c²

24-21= 3    30-1=29  These are the lengths of sides a & b

3² = 9   29²= 841    9 + 841 = 850 The square root of 850 will be the length of side c, the hypotenuse.

 Round to the nearest hundredth:  29.15

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt