In a video game, two golfers tee off at hole 6, which has the coordinates (–32, –27). Golfer A’s ball lands at (–43, –18). Golfer B’s ball lands at (–44, –16). Which golfer hit the longer shot?

Answers

Answer 1
Answer:

Answer:

Golfer B's hit the longer shot.

Step-by-step explanation:

In a video game, two golfers tee off at hole 6

Position of hole at (-32,-27)

Golfer A's ball lands at (-43,-18)

Golfer B's balls lands at (-44,-16)

Distance formula:

d=√((x_2-x_1)^2+(y_2-y_1)^2)

Distance of shot of Golfer A's =√((-32+43)^2+(-27+18)^2)=√(11^2+9^2)\approx 14.21

Distance of shot of Golfer B's =√((-32+44)^2+(-27+16)^2)=√(12^2+11^2)\approx 16.28

16.28 > 14.21

Golfer B's shot > Golfer A's shot

Hence, Golfer B's hit the longer shot.

Answer 2
Answer: Using Pythagoras' theorem, you can work out the distance the balls travelled.
Golfer A: -43 - -32 = -43 + 32 = -11
-27 - -16 = -27 + 16 = -11
a² + b² = c²
(-11)² + (-11)² = √242 = 15.556

Golfer B: -44 - -32 = -44 + 32 =  -12
-27 - -16 = -27 + 16 = -11
a² + b² = c²
(-11)² + (-12)² = √265 = 16.278

∴ B hit the longest shot. 

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Pythagorean Theorem Determine the length of the missing side?

Answers

The answer should be 12.2
7^2+10^2=c^2
49+100=c^2
149=c^2
12.2=c

Answer:

c= sqrt149; 12.2 rounded

Step-by-step explanation:

Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2

7^2+10^2=149

sqrt149= 12.2 rounded

The space shuttle was launched at 6:45 a.m. on Tuesday morning. It was in space for 6 days, 2 hours, and 16 minutes. At what time did the space shuttle land?

Answers

Answer:

The space shuttle landed on Monday morning at 9:01 a.m.

I hope this helps.

The shop opens 10 new stores. Some are in California, andsome are in Nevada. There are 22 in California and 18 in Nevada

Answers

Answer:

If there are 10 new stores, how can there be 22 in California and 18 in nevada?

Step-by-step explanation:

22+18= 40? i am not sure what you have to add or do something

Prove that the recurring decimal 0.39 = 13/33

Answers

x=0.\overline{39}\n100x=39.\overline{39}\n 100x-x=39.\overline{39}-0.\overline{39}\n 99x=39\n x=(39)/(99)=(13)/(33)

Angle Q measures 30 degrees. If angle Q is rotated 15 degrees, what is the measure of angle Q'?

Answers

The measure of angle Q' is 45°.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

∠Q = 30°

∠Q is rotated 15°

This means,

∠Q = 30 + 15 = 45°

Thus,

The measure of angle Q' is 45°.

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30°
an angle has the same measurement no matter what direction you rotate it

Sally earns graduated commission on her sales each month. She earns 6% commission on the first $45,000 in sales and 8% on anything over that. If Sally had $51,000 in sales this month, how much commission did she earn?

Answers

She earns a commission is $3180 this month.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that she earns 6% commission on the first $45,000 in sales and 8% on anything over that.

If Sally had $51,000 in sales this month

We have to determine her commission earnings this month

For the amount, she sold above $45,000

So, 51000 - 45000 = 6000

So her commission earning in this month as

⇒ (6/100)×45000 + (8/100)×6000

⇒ 2700 + 480

⇒ 3180.

Hence, her commission earning is $3180 this month.

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To find the answer we must calculate her comission earnings for $45.000 and for the amount she sold above $45.000 (in our case, 51.000 - 45.000 = 6.000). So in total we have 6/100 * 45.000 + 8/100 * 6000 = 2700 + 480 = 3180.