MATHEMATICS HIGH SCHOOL

Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?

Answers

Answer 1

Answer: |x - 45| = 3; minimum angle: 42 degrees

Answer 2

Answer:

The equation which can be used to determine the minimum and maximum optimal angles of launch is:

|x – 45| = 3

and the minimum angle that is still optimal is:

42 degrees.

Step-by-step explanation:

Let x be the optimal angle by which the balloon is launched.

Also, it is given that the they launch the balloon at an angle within 3 degrees of 45 degrees.

i.e. the range at which the angle is launched lie between 3 degree less than 45 degree and 3 degree more than 45 degree.

Hence, the equation that will represent this relationship is:

|x-45|=3

Hence, on solving for the maximum value we have:

$x-3=45\n\ni.e.\n\nx=45+3\n\ni.e.\n\nx=48\ degree$

and the smallest optimal angle is given by:

$x-45=-3\n\ni.e.\n\nx=45-3\n\ni.e.\n\nx=42\ degree$

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3(q - 7) = 27

Solve for q

Answers

Answer:

3(q-7)=27

3q-21=27

3q=48

q=16

Step-by-step explanation:

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Answer:

q = 16

Step-by-step explanation:

3(q - 7) = 27

3q - 21 = 27 | +21

3q = 48 | :3

q = 16

Please help I need to know before tomorrow

Answers

The answer is a since 150/6 is 25

I Believe it's a (25)

X^2 - 6x = -9 Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answers

$x^2 - 6x = -9\n\nx^2 - 6x +9=0\n \na=1, \ \ b=-6, \ \ c=9 \n\n \Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot 9 = 36 -36 =0 \n \nx_(o)=(-b )/(2a)=( 6)/(2 )=3$

$(a-b)^2=a^2-2ab+b^2$ <--this is formula
$x^2-6x+9=0$
$x^2-(2*1*3)x+3^2=0$ a=1,b=3
$(x-3)^2$

38% convert into fraction

Answers

To convert a percentage into a fraction, we must first convert the percentage into a decimal. We can do that by either dividing the percentage by 100, or (my personal shortcut) just shifting the decimal point over two places to the left.

38% = 0.38

Now, all we need to do to convert it into a fraction is put the numbers to the right of the decimal point above a multiple of ten with as many zeros as there are numbers to the right of the decimal point. In this case:

0.38 = $(38)/(100)$

Now, all we need to do is reduce to find our fraction.

38 and 100 are both divisible by 2, so we will start off by doing that.

$(38 / 2)/(100 / 2) = (19)/(50)$

And that is our answer.
38% in fraction form is $(19)/(50)$ .
Hope that helped! =)

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