A flare is fired from 4 feet above the ground at a speed of 64 feet per second. The flare will fall to the ground after it burns out.

Answer:

k=4/5

Step-by-step explanation:

(-k+2)/(1-2k) = -2   ( using the slope formula (y2-y1)/(x2-x1)  )

-k+2 = -2 (1-2k)

-k+2 = -2 + 4k

2= -2 +5k

4 = 5k

k=4/5

Answer:

Step-by-step explanation:

To find k use the formula for finding the slope of a line and equate it to the slope which is - 2

So we have

(2k, -2) and (1, - k)

[tex] - 2 = \frac{ - k + 2}{1 - 2k} [/tex]

Cross multiply

That's

- 2( 1 - 2k ) = - k + 2

Expand and simplify

- 2 + 4k = - k + 2

Group like terms

4k + k = 2 + 2

5k = 4

Divide both sides by 5

k = 4/5

Hope this helps you

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 10, thus

sum = 180° × 8 = 1440°

1 interior angle = 1440° ÷ 10 = 144°

Answer:

Factor (a+3)2−a(a+3)

3a+9

=3(a+3)

Answer:

3(a+3)

I hope this help :)

Answer:

(a+3)(3)

Step-by-step explanation:

(a+3)^2-a(a+3)

(a+3)(a+3)-a(a+3)

Factor (a+3)

(a+3)(a+3-a)

(a+3)(3)

Answer:

11 17/21 cm²

Step-by-step explanation:

5 1/6 = (5*6 + 1)/6 = 31/6

2 2/7 = (2*7 + 2)/7 = 16/7

A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{48}{60}[/tex]

To simplify find the highest common factor of 48 and 60, that is 12

Divide both values by 12

[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form

The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator

Answer:

  all are 90°

Step-by-step explanation:

Vertical angles are congruent, and linear angles are supplementary, so we have ...

  ∠AOC + ∠COB + ∠BOD = 270°

  180° + ∠BOD = 270°

  ∠BOD = 90°

Since the lines cross at right angles, all of the angles are 90°.

Answer:

Step-by-step explanation:

UV & UT are the sides

Answer:

The correct option is;

1 box contains x and 2 boxes contain minus sign

Step-by-step explanation:

Algebra tiles are used in teaching students algebraic concepts. The unit (small) tile represents the number one. The rectangular tile represents the variable x and the large square tile represents x²

The parameters given are;

Ada drove 2 fewer miles today than she drove yesterday, therefore;

Let X = number of miles Ada drove yesterday

We have number of miles Ada drove today = X - 2

Therefore, the correct option is 1 box contains x and 2 boxes contain minus sign

Answer:

its b

Step-by-step

i got it right on my test

Answer:

3x^1/2 in radical form is

[tex] \sqrt{3x} [/tex]

Hope this helps you

Answer:

[tex]h = 15.163\ meters[/tex]

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

[tex]tan(30) = (h - 1.5) / x[/tex]

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]

So rewriting both equations using the tangents values, we have that:

[tex]0.5774 = (h - 1.5) / x[/tex]

[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]

From the first equation, we have that:

[tex]x = (h - 1.5) / 0.5774[/tex]

Using this value of x in the second equation, we have that:

[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]

[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]

[tex]0.5774h + 4.9079 = h - 1.5[/tex]

[tex]0.4226h = 6.4079[/tex]

[tex]h = 15.163\ meters[/tex]

Answer:

C. 21 m

Step-by-step explanation:

As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:

tan40° = h/25

25tan40° = h

h = 20.9775

h ≈ 21 m

Answer:

£700

Step-by-step explanation:

First we find the interest on this money.

Interest = Principal * Rate * Time

             =[tex]\frac{500 * 8 * 5}{100}[/tex]

            =5 * 8 * 5

            =£200

Interest = £200

Now you add his actual money to the interest you just found to give you the total amount.

Amount = £500 + £200

             = £700

Answer:

1/3 min ( = 20 seconds)

Step-by-step explanation:

The period of the ride is the time he takes to complete 1 revolution

We are given:

12 revolutions -------> takes 4 min

1 revolution ------> takes 4/12 = 1/3 min  (= 20 seconds)

Answer:

180 - 133

Step-by-step explanation:

Answer:

x = 47 degrees

Step-by-step explanation:

Solve for X:

x + 133 = 180

180 - 133 = 47

x = 47

Answer:

24

Step-by-step explanation:

Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse.  As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10.  6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2.  So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2.  6*8=48 and 48/2 = 24 which gives us our answer.

Step-by-step explanation:

Ratio of adults to children= 7:3

Total no. Of people at the cricket match:150

To find the value of the ratios, 7x+3x=150 ; 10x=150 ; x=150/10:15

So, 7:3 is 7(15) adults to 3(15) children,

Total no. Of adults: 105

Total no. Of children: 45

So, as per the question, the no. Of children that attended the cricket match is 45

Answer:

The maximum power available to the motor is 2.4 MW

Step-by-step explanation:

The power of  a circuit that has a current, I, and a voltage, V, is given by the relation

Electrical power, P = I²R = I× I×R = I × V

Therefore given that the parameters are;

Voltage in the d.c. power supply = 600 V d.c.

Maximum current in the motor = 4000 A

Therefore, we can find the power as follows;

Maximum motor power = Voltage × Current

The maximum motor power, P available =  600 V × 4000 A = 2400000 W which on converting to MW becomes;

The maximum power available to the motor , P = 2.4 MW.

Answer:

Standard form: [tex]x^3+3x^2-x-3[/tex]

Leading coefficient: 1

Step-by-step explanation:

[tex]3x^2-x-3+x^3=\\x^3+3x^2-x-3[/tex]

The leading coefficient is 1 because the leading term is [tex]x^3[/tex].

Answer:

1/2

Step-by-step explanation:

There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.

Answer:

1/2 or 50%

Step-by-step explanation:

Blue= 4, Red= 2, Green= 2

Total marbles= 8

P(B)= 4/8= 1/2 or 50%

Answer:

9 cm

Step-by-step explanation:

If you were to imagine this right triangle, you would find it to be a 45 - 45 - 90 triangle. Perhaps the " shorter leg " piece of information was present to trick you, considering that the legs are congruent by converse to base angle theorem.

How is this triangle a 45 - 45 - 90? In such a triangle, the legs can be posed as x cm, as the base angles are congruent ( 45 and 45 ), thus the legs of the triangle are congruent as well. The hypotenuse would be x√2, and as we can see -

If legs = x, Hypotenuse = x√2 = 9√2

Thus, the length of the other leg is 9 centimeters ( 9 cm )

Hope that helps!

Answer:

This is the quantity of output per unit of input.

Step-by-step explanation:

I'm very sure.

Answer:

B

Step-by-step explanation:

0 to 9 has 10 numbers, and 7 numbers are 0, 1, 2, 3, 4, 5, 6, so the ans is B.

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Hope this helps you...

Answer:

88.6647727273 cm²

Step-by-step explanation :

The perimeter of the square =(50/2)

                                               = 25 cm

∴ Side of the square = (25/4)

                                    = 6.25 cm

∴ Area of of the square = (6.25)²

                                        = 39.0625 cm²

The circumference of the circle =(50/2)

                                            = 25 cm

∴ 2πr = 25

⇒ r = 25/(22/7)(2)

Area of the circle = (22/7) { 25/(22/7)2} {25/(22/7)2}

                             = (25×25×7) / (2×2×22)

                             = 4365/88

                             = 49.6022727273 cm²

∴ Total area of the circle and the square =(49.6022727273+39.0625000000)

= 88.6647727273 cm²

Hope it helped

If yes mark BRAINLIEST!

Pens = 36y

Pencils 12y

This is because the cost of pens is 36 times however many pens you buy

The Sam Egeos for pencils except it’s 12 cents.

Answer: f²+g²=h²

Step-by-step explanation:

In a right triangle, you use the Pythagorean Theorem: a²+b²=c² to find the hypotenuse of the triangle. I would believe that you could just substitute the variables in this equation with the ones that you have. This should show the relationship between the 3 unknown lengths of the sides.

Answer:

The data are at the nominal level of measurement

Step-by-step explanation:

Nominal Level of measurement is irrespective of orders or classes. In this survey we do not find out which game is ranked the most favorite.

Nominal; level is used just for counting.  Its cannot be used as a measure or for quantitative analysis.

Such data cannot give the mean of the sample. And the two means cannot be compared.

In the given question it only gives the number of likes  nothing more. The average cannot be calculated for such data.

Answer:

The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Step-by-step explanation:

Total number of face cards = 12

Total cards = 52

Probability of getting face card on first draw=[tex]\frac{12}{52}[/tex]

Remaining no. of face cards = 11

Remaining number of total cards = 51

Probability of getting face card on second draw=[tex]\frac{11}{51}[/tex]

The probability that the second card is a face card if it’s known that the first card was a face card =[tex]\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497[/tex]

Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Answer:

  B.  -5/4

Step-by-step explanation:

We're going to assume that you don't mean

  y = 45x -3

which has a perpendicular line with a slope of -1/45.

Rather, we're going to assume that you mean

  y = 4/5x -3

so that the slope of the perpendicular line is -5/4.

__

Similarly, we're going to assume that the answer choices are supposed to represent fractions, so that the above slope matches choice B.

_____

If the slope of a line is m, the slope of the perpendicular line is -1/m. The reciprocal of a fraction is the fraction that has numerator and denominator swapped. -1/(4/5) = -5/4.

Answer:

x = 1 and x = 3.

Step-by-step explanation:

y = 2[tex]x^{2}[/tex] - 8x + 6

y = 2([tex]x^{2}[/tex] - 4x + 3)

y = 2(x - 3)(x - 1)

So, the x-intercepts would be at...

x-3 = 0

x = 3

and

x - 1 = 0

x = 1

Hope this helps!