A scuba diver descends from the surface at a rate of 38 feet per minute.

What is the position of the scuba diver relative to the surface after diving for 3 minutes?

Answer:

Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1.   For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.

2.   Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.

3.   The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).

4.   The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.

5.   The approximate length of BC can be determined as,

Tan(54°)=CD/BC

BC = CD/Tan(54°)

BC = 8.719 cm

6.    The approximate length of BD can be determined using the Pythgorus theorem,

BD² = CD² + BC²

BD = 10.5835 cm

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Answer:

Ummm ion even know I'm still in elementary/ 5 th

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:

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:

false

Step-by-step explanation:

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:

(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: 1/4

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:

a is 9

b is 77

Step-by-step explanation:

Give me brainllest

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:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

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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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:

2n=12

Step-by-step explanation:

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

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:

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

Answer:

B.125

Step-by-step explanation:

25:30->?:150

150/30=5

25:30x5=125:150

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:

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:

Step-by-step explanation:

Answer:x=3±√2

Decimal Form:

x=4.41421356

Step-by-step explanation:

:D

Answer:

v=2500-312.5x, after 3 years its worth 1562.5$

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

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

Answer:

scale factor = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides , B  to A

scale factor = [tex]\frac{50}{30}[/tex] = [tex]\frac{5}{3}[/tex]

Then

[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

3x = 75 ( divide both sides by 3 )

x = 25

and

[tex]\frac{18}{y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

5y = 54 ( divide both sides by 5 )

y = 10.8

Answer: f(12) is estimated to 909.09

Step-by-step explanation:

Answer:

It would b A

Step-by-step explanation:

Step-by-step explanation:

Answer:

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

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.

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]