A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?

Answer:

-2

Step-by-step explanation:

Note that slope-intercept form looks like: y = mx + b

In this case, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides:

2x (-2x) + y = 6 (-2x)

y = -2x + 6

Note in the slope-intercept form: y = mx + b

y = y

m = slope

x = x

b = y-intercept

In this case, your slope is -2. All lines parallel to the given equation will also have a slope of-2.

~

Answer:

Step-by-step explanation:

[tex]\frac{r}{19}>-1[/tex]

Multiply both sides by 19

[tex]\frac{r}{19}*19>-1*19 \\\\r > -19[/tex]

Answer:

D, far apart from each other.

Step-by-step explanation:

The inequality that represent the heights of the mountains in the given range is h < 20,000

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given that, the heights of the mountains in a mountain range are less than 20,000 feet.

We need to write an inequality to represent the height of the mountain ranges,

Since, the height is less than 20,000,

Therefore, the inequality =

h < 20,000

Hence, the inequality that represent the heights of the mountains in the given range is h < 20,000

Learn more about inequality click;

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9514 1404 393

Answer:

  x° = 42°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the useful relation ...

  Cos = Adjacent/Hypotenuse

  cos(x°) = 4.0/5.4

  x° = arccos(4.0/5.4) ≈ 42.21°

The value of x is about 42.

Answer:

We know that the sum of all the interior angles of a triangle is always equal to 180°.

And we know that the angles are in a ratio of:

2:5:5

So if we have an angle (unknown) θ, the angles of this triangle will be written as:

2*θ

5*θ

5*θ

Now remember that the sum of the 3 angles is equal to 180°, this leads to:

2*θ + 5*θ + 5*θ = 180°

Now we can solve this for θ

(2 + 5 + 5)*θ = 180°

12*θ = 180°

θ = 180°/12 = 15°

This means that the angles of this triangle are:

2*θ = 2*15° = 30°

5*θ = 5*15° = 75°

5*θ = 5*15° = 75°

Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.

Then this is an isosceles triangle.

Answer:

Hope that answers your question

Answer:

11.1 feet

Step-by-step explanation:

person = B  cat = C

                                          C

                                      /    |

                   /                       |     x

B /_48]________ ______|

              |____10ft____|

since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve.  (make sure to be in degrees lol)

tangent ( 48) = x/10

10 * tan(48) = x

11.1 = x

The cat is 11.1 feet high.

Answer:

This is your work so i cant do it but I can give you a hint divide both the numerator and deomonator to get simplified form

Step-by-step explanation:

Answer:

ericyikaimiao said she/he is right

Answer:

[tex]n^{2}[/tex]

Step-by-step explanation:

1, 4, 9, 16

1=[tex]1^{2}[/tex]

4=[tex]2^{2}[/tex]

9=[tex]3^{2}[/tex]

16=[tex]4^{2}[/tex]

so, the fifth term is [tex]5^{2}[/tex] = 25

Answer: 65

Step-by-step explanation:

All those angles added up have to equal 360 degrees.

The little square on the angle to the left of x means that it's a right angle, or 90 degrees.

360

- 180

= 180 <--- this is the bottom half,

180

- 90 <--- the right angle on the left

= 90

90

-25

= 65 <--- that's x

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Ratio and Percentage.

Let the total salary be x, so we get as,

20 % of x = $700

hence, x would be,

(20/100)*x = 700

===> x = 70000/20

===> x = $3500

===> hence the total earning of them is $3500

Answer:

<PTR+<RTS=180 LINEAR PAIR

<PTR=180-20=160°

Step-by-step explanation:

IN QUADRILATERAL PQRT

<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360

85+<Q+70+160=360

<Q=360-315=45°

angle PQS=45°

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{AB}{sinC}[/tex] = [tex]\frac{BC}{sinA}[/tex]

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

[tex]\frac{7.8}{sin28}[/tex] = [tex]\frac{BC}{sin62}[/tex] ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = [tex]\frac{7.8sin62}{sin28}[/tex] ≈ 14.7 m ( to 3 significant figures )

9514 1404 393

Explanation:

The work can be done in your head, so there's really nothing to show.

If you want to go into painful detail, you can do this ...

  [tex](2\sqrt{3x})(3\sqrt{6x^2})=(2\sqrt{3x})(3x\sqrt{6})=6x\sqrt{3\cdot6x}\\\\=6x\sqrt{3^2\cdot2x}=6x\cdot3\sqrt{2x}=\boxed{18x\sqrt{2x}}[/tex]

There may be some other intermediate steps you can show, or you can combine steps to the extent you think is appropriate.

Answer:

George should charge 1.70$ for each frame to break-even.

Step-by-step explanation:

Variable cost for the frames:

Wood + polishing = $100 + $50 = $150

Variable cost per frame would be:

$150/ 500 = $0.30

The fixed cost of the operation is $700.

George has to make 500 frames.

Fixed cost / (Selling price per unit – variable cost per unit) = 500

$700 / (Selling price per unit - $0.30) = 500

700 = 500 (Selling price per unit – 0.30)

700 = 500 * Selling price – 500 * 0.3

700 = 500 * Selling price – 150

(700 + 150) / 500 = Selling price

850 / 500 = 1.7

Answer:

Step-by-step explanation:

Typically in a line the y intercept is the point where your graph crosses the y-axis, and the x value is 0 so (0,b) is the y-intercept where y-intercept is b

The slope can be found by finding the rate of change, so the change in y / the change in x

You can also calculate the slope with 2 points so (x1, y1) (x2, y2)

you take the y values and subtract them, then divide by the x values like this:

y2 - y1 / x2 - x1

If a line is going up to the right in Quadrant I then the slope is positive, if the slope of the line goes down in Quadrant IV  then the line slope is negative

Slopes of horizontal lines are zero, the slope of a vertical line is undefined

We use the letter m to stand for the slope

First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Then

sin(θ) = -√(1 - cos²(θ)) = -4/5

and so

tan(θ) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(θ) = 1/cos(θ) = 5/3

csc(θ) = 1/sin(θ) = -5/4

cot(θ) = 1/tan(θ) = -3/4

Answer:

square the whole equation

Step-by-step explanation:

so, it will change from (3x + 7y)² to 9x² - 49y²

I hope this helps a little bit.

Answer:

(3x - 7y)

Step-by-step explanation:

we know that

.. (a + b) (a - b) = (a^2 - b^2)

=> (a + b) = (3x + 7y)

=>. (a^2 - b^2) = (9x^2 - 49y^2)

=> so, (a - b).= (3x - 7y)

hope it helps

Answer:

y=7

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Total no. of postcards = 40

No. of postcards from foreign countries = 16

Percentage of postcards from foreign countries = (16/40)*100

=40%

Answer:

920

Step-by-step explanation:

8% of 1000 is 80

1000 - 80 = 920

Answer:

B is the function.

Step-by-step explanation:

since there is one y value for every x value we know that is a function

Answer:

n = -2

Step-by-step explanation:

[tex] - 6n - 2n = 16[/tex]

➡️ [tex]( - 6 - 2)n = - 8n[/tex]

➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]

➡️ [tex]n = 16 \div ( - 8)[/tex]

➡️ [tex]n = - 16 \div 8[/tex]

➡️ [tex]n = - 2[/tex]

Answer:

I believe they would have to sell 152 lollipops

Step-by-step explanation: