What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

Answer:

BC = 3

Step-by-step explanation:

The length of the side BC is 3 units.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The right triangle is shown in the figure.

Let the distance BC be x and

The side AB be y.

According to trigonometric ratios,

[tex]tan \theta=\frac{opposite}{adjacent}[/tex]

Consider Δ ABD,

⇒ [tex]tan (20) = \frac{y}{x+15}[/tex]

⇒ [tex]0.3639=\frac{y}{x+15}[/tex]

⇒ [tex]y=0.3639(x+15)[/tex] -------- (1)

Now consider Δ ABC,

⇒ [tex]tan(65)=\frac{y}{x}[/tex]

⇒ [tex]2.144=\frac{y}{x}[/tex]

⇒ [tex]y=2.144x[/tex] --------- (2)

From equation 1 and 2,

⇒ [tex]2.144x=0.3639(x+15)[/tex]

⇒ [tex]2.144x=0.3639x+5.4585[/tex]

⇒ [tex]1.7801x=5.4585[/tex]

⇒ [tex]x=\frac{5.4585}{1.7801}[/tex]

⇒ [tex]x=3.06[/tex] ≈ [tex]3[/tex]

Hence we can conclude that the length of the side BC is 3 units.

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Answer:one yard costs $15 (x=15)

Step-by-step explanation:

300-60=240. So, 16 yards=$240

16x=240

240/16=15

X=15 (one yard costs $15)

The price for  one square yard of carpet is $15.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$300 - \$60) \div 16[/tex]

= $15

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Answer:

D undefined

Step-by-step explanation:

Answer:

D. The company's chocolate bars weigh 3.2 ounces on average.

Step-by-step explanation:

We are given that  a company claims that its chocolate bars weigh 3.2 ounces on average.

The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.

Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.

Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.

Thus Option D is correct.

D. The company's chocolate bars weigh 3.2 ounces on average.

Question complète:

150 garçons et 250 filles sont inscrits au conservatoire. 20% des garçons et 30% des filles sont pianistes. Calculer le pourcentage de pianistes au conservatoire

Répondre:

26,25%

Explication étape par étape:

Nombre de garçons = 150

Nombre de filles = 250

Pianiste masculin = 20% des garçons

Pianiste masculin = 0,2 * 150 = 30 garçons

Pianiste féminine: = 30% des filles

Pianiste féminine = 0,3 * 250 = 75 filles

Nombre total de pianistes:

(30 + 75) = 105 pianiste

Population du conservatoire = (150 + 250) = 400

Pourcentage de pianiste:

105/400 * 100%

0,2625 * 100%

26,25%

Answer:

(3,5)

Step-by-step explanation:

x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis

I hope it helped

Answer: 1

x(3−2)(2−5)=3

Step 1: Simplify both sides of the equation.

−3x=3

Step 2: Divide both sides by -3.

x=1

Answer:

-24/25

Step-by-step explanation:

Because it is in quadrant 3, cosine is negative. Hypotenuse=25, Adj=-24, Opp, -7. Cos=Adj/Hyp. -24/25

It is Given that tan⁡ θ = 7/24, and ⁡θ terminates in Quadrant III, Thus the value of cos⁡ θ is -24/25.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given tan⁡ θ = 7/24, and ⁡θ terminates in Quadrant III,

we want to determine the value of cos⁡ θ.

Because it is in quadrant 3, cosine is negative.

Hypotenuse = 25, Adjcent = -24, Opposite = -7.

Cos θ = Adjcent /Hypotenuse .

        =  -24/25

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Answer:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

Step-by-step explanation:

Answer:

[tex]24 = x[/tex]

Step-by-step explanation:

Write a proportion. Remeber that same units corresponds with each other.

[tex] \frac{8}{3} = \frac{x}{9} [/tex]

Cross multiply

[tex]72 = 3x[/tex]

[tex]24 = x[/tex]

Answer: 135 hamburgers

540 divided by 4 (ratio of hamburgers to cheeseburgers is 3 to 1) = 135. 135 burgers and (135 times 3) 405 cheeseburgers = 540.

Step-by-step explanation: Hope this helps! :)

Answer: 180 hamburgers were sold on Saturday

Step-by-step explanation:

I’m pretty sure this is the answer

Answer:

a is 9

b is 77

Step-by-step explanation:

Give me brainllest

Answer:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

Answer (assuming that the equation can be written in point-slope form):

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]

Step-by-step explanation:

Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]    

Answer:

2n=12

Step-by-step explanation:

The next step would be to subtract four from each side getting 2n=12 or B

Answer:

The 3rd one

Step-by-step explanation:

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

The answer is "[tex]153.86 \ in^2[/tex]"

Step-by-step explanation:

The circular light which fits around rather than is sufficiently large for fire a camera is indeed a ring light. The ring light provides light with very little darkness, as the bright light is very close to a lens's vertical system. It's also usually called glamour or brightness of beauty.

Let's Each light surface area has [tex]38.465\ in^2[/tex].

Therefore, the total area of four lights is [tex]38.465 \times 4= 153.86\ in^2[/tex].

Step-by-step explanation:

Answer:

Do you need help with something or is this fr33 points?

Answer: 1/4

Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4

Hope this helps!

Answer:

The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.

Step-by-step explanation:

hope this helps you! :)

The second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.

a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

An ordered pair contains the coordinates of one point in the coordinate system.

A point is named by its ordered pair of the form of (x, y).

In an order pair the first number represents the x coordinate and the second number represents the y coordinate.

To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

Hence, the second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.

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Answer:

b........... ........

Answer:

B.125

Step-by-step explanation:

25:30->?:150

150/30=5

25:30x5=125:150

Step-by-step explanation:

Start at the orgin.

The y intercept in the equation is -1 so I would shift 1 unit down to the orgin at (0,-1)

Then at the point, since the slope is -4. I would go down -4 units then go over 1 unit to the right.. So the next point would be (1,-5) then so on and so on.

You can check if your graph is correct by writing out specific points on the linear equation and making sure there slope is equal to -4.

Answer:

x=3/2 or x=6

Step-by-step explanation:

2x2−15x+18=0

Step 1: Factor left side of equation.

2x^2-12x-3x+18=0

taking common factors

2x(x-6)-3(x-6)=0

(2x−3)(x−6)=0

Step 2: Set factors equal to 0.

2x−3=0 or x−6=0

x=3/2 or x=6

Answer:

Step-by-step explanation:

Answer:

A = 21.2

Step-by-step explanation:

Assuming that the triangle is equilateral, the area would be approximately 21.2 feet.

Answer:

D.(4x+1)

Step-by-step explanation:

The area of the rectangular pool is given by

Area = length * breadth

Area = (12x×x)-17x-5

A= 12x²- 17x- 5

Factorising the quadratic equation by mid term break rule.

A= 12x²- 20x + 3x- 5    

( when we multiply 12 and -5 we get -60 . We need two numbers which when added give -17 and when multiplied give -60. The two numbers would be -20 and +3. The minus has to be with the bigger number as we need - 17.)

A = 4x( 3x- 5) + 1( 3x-5)

(taking commons will evaluate it further.)

A= (3x-5) (4x+1)

so the length could either be 3x-5 or 4x+1

From the given options we have

4x+1 as the length because the rest do not match the factors obtained.

Answer:

B I thank

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

→ Write triangle formula

Area = (Base × Height) ÷ 2

→ Substitute in numbers

Area = (4 × 6.5) ÷ 2

→ Simplify

Area = 13 yd²