A large hotel has 347 rooms. There are 7 floors, and each
floor has about the same number of rooms. About how many
rooms are on a floor?

Answer:

The opportunity cost of playing an hour of video games is not reading 3 chapters of a book.

Step-by-step explanation:

Given that Anthony can either play 4 hours of video games or read 12 chapters of a book, to determine what is Anthony's opportunity cost of playing one hour of video games, the following calculation must be performed:

4 = 12

1 = X

1 x 12/4 = X

12/4 = X

3 = X

Therefore, the opportunity cost of playing an hour of video games is not reading 3 chapters of a book.

The distance between gab's house and library will be 4km

Distance is a numerical measurement  of how far apart object or point are or it may also refer as the physical length.

From graph we can see that Gabe's house is 3 km on positive x axis in respect to the origin

Whereas library is 1 km apart from origin on negative x axis

Since we are calculating distance , we simply add both the above mentioned distances irrespective of their direction since distance is a scaler quantity.

Distance between Gab's house and library will be :

D = |3| + |-1|

D = 3+1 = 4 km option A)

Learn more about distance

https://brainly.com/question/15172156?referrer=searchResults

#SPJ2

Answer:

I think B

Step-by-step explanation:

Not sure but seems like so. Hope I helped U :)

Answer:

Option B

Step-by-step explanation:

For the polygons to be similar, the dilation ratio must be uniform for all sides.

>> In option A, each side of the bigger hexagon is 8cm while each side of the smaller one is 5 cm. Thus, the dilation ratio is uniform at 8:5. Thus, they are similar polygons.

>> In option B, the longer side of the big rectangle is 12 inches and reduces to 10 inches. Which means a ratio of 6:5 whereas, the shorter side reduces from 7 to 6 which is a ratio 7:6. Since both ratios are different, then it means that both rectangles are not similar.

>> In option C, the hypotenuse of the big triangle is 15 m and reduces to 10 m in the small triangle. This gives a ratio of 3:2.

The perpendicular side of the big triangle is 9m which reduces to 6 m in the small one. This is a ratio of 3:2.

The horizontal side of the big triangle 12m which reduces to 8m in the small triangle. This is a ratio of 3:2.

Since all the ratios are same, then they are similar triangles.

>> In option D, each side of the bigger polygon is 7ft while each side of the smaller one is 4ft. Thus, the dilation ratio is uniform at 7:4. Thus, they are similar polygons.

Answer:

19/25.

Step-by-step explanation:

The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.

Possible ways to get sum of 12 or more =

4,8   5,7   5,8   6,6   6,7  6,8  =  6 ways.

So the number of ways to get sum of < 12 = 25 - 6 = 19.

So the required probability = 19/25.

Answer:

I think the probability  is 19 out of 25    = 19/25, but I am not sure so please check by step by step solution.

Step-by-step explanation:   5  29  12  38

Hearts 2, 3, 4, 5, 6

Spades 4, 5, 6, 7, 8

Find the probability that the sum of any two randomly cards is less than 12.

I count 5²  = 25  possibilites

I found 5 + 5 + 4 + 3 + 2 combinaitons of cards whose sum is less than 12

             sum of 19 combinations less than 12

               19 /25 is the probability of the sum being less than 12

     hearts....   + spade < 12

       the 2 + any shade      5

       the 3 + any spade      5

       the 4 + the four lowest spades   4

       the 5 + the three lowest spades   3

       the 6 + the four lowest spades   2

Answer:

arcsin(5/6) = 56.44 degrees, or 0.99 radian

Step-by-step explanation:

Write out sin x = 5/6.

Then write out the inverse function:  arcsin 5/6 = x.

Use a calculator's 'arcsin' function to determine the angle x:

arcsin(5/6) = 56.44 degrees, or 0.99 radian

1000000

Step-by-step explanation:

son mil ovhomil

Answer:

The solutions are the following:

hope this helps!! :) --Siveth

Answer:

if what the person draw wot the stuffed animal there is a probability for the winner to win stuffed animal

Answer:

C:Flipping a coin twelve times

Step-by-step explanation:

HOPE IT HELPS YOU!!

-√25    rational

[tex]\frac{14}{19}[/tex]          irrational

9π        irrational

2√2     irrational

87.39... rational

The probability that he rolls a sum of 9  given the sample space is . 9/36, or 1/4.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that he rolls a sum of 9 = cubes that have a sum of 9 / total number of cubes

9/36 = 1/4

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

I believe it's A

Step-by-step explanation:

A. 2/36, or 1/15

Answer:

[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ, \\\text{3a. Reflexive Property}, \\\text{3b. ASA (Angle-Side-Angle)}[/tex]

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:

[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ[/tex]

In problem 3, [tex]\overline{IJ}\cong \overline{IJ}[/tex] is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).

Answer:

Step-by-step explanation:

s³ = 64

Take the cube root of both sides

s = 4

Answer:50

Step-by-step explanation:

14^2+48^2=2500

a^2+b^2=c^2

c^2=2500

c=50

Answer:

100

Step-by-step explanation:

Rs500-Rs400=Rs100.

Step-by-step explanation:

each week kyle saves $5.00

sin

(

2

θ

)

=

2

(

3

5

)

(

−

4

5

)

=

−

24

25

Write the double-angle formula for cosine.

\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos

​2

​​ θ−sin

​2

​​ θ

Again, substitute the values of the sine and cosine into the equation, and simplify.

)Answer:

In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,

\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ

If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have

Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have

Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:

Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives

\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}

​tan(α+β)=

​1−tanαtanβ

​

​tanα+tanβ

​​

​tan(θ+θ)=

​1−tanθtanθ

​

​tanθ+tanθ

​​

​tan(2θ)=

​1−tan

​2

​​ θ

​

​2tanθ

​​

​​

A GENERAL NOTE: DOUBLE-ANGLE FORMULAS

The double-angle formulas are summarized as follows:

\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ

\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=

​1−tan

​2

​​ θ

​

​2tanθ

​​

HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.

Draw a triangle to reflect the given information.

Determine the correct double-angle formula.

Substitute values into the formula based on the triangle.

Simplify.

EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT

Given that

and \displaystyle \thetaθ is in quadrant II, find the following:

\displaystyle \sin \left(2\theta \right)sin(2θ)

\displaystyle \cos \left(2\theta \right)cos(2θ)

\displaystyle \tan \left(2\theta \right)tan(2θ)

SOLUTION

If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−

​4

​

​3

​​ , such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:

Now we can draw a triangle similar to the one shown in Figure 2.

Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.

Figure 2

Let’s begin by writing the double-angle formula for sine.

\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ

We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=

. Substitute these values into the equation, and simplify.

Thus,

​​

Solution

EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES

Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).

SOLUTION

c

Analysis of the Solution

This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.

Using Double-Angle Formulas to Verify Identities

Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.

EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY

Establish the following identity using double-angle formulas:

\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)

​2

​​

θ

)

Step-by-step explanation:

Answer:

08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.

Answer:

I have this same question on my math test.

Since the radius is 9, the diameter is 18.

The shape is being dilated by 2/3, so the new radius is 6.

Volume formula: V = 4/3πr^3

So now we plug in the values.

V = 4/3 x π x (6)^3

V = 4/3 x π x 216

V = 288π

If the answers do not have the pi symbol present, then it has been multiplied into the answer.

288 x 3.14 = 904.32

The new volume of the sphere is 904.32 in^3

(a) The marginal distribution of X is

Pr(X = x) = ∑ Pr(X = x, Y = y)

… = 0.0625 + 0.0625 + 0.0625 + 0.0625

… = 0.25

That is, the first equality follows from the law of total probability, with the sum taken over y from {0, 5, 10, 15}. Each probability Pr(X = x, Y = y) is given in the table to be 0.0625.

Similarly, the marginal distribution of Y is

Pr(Y = y) = 0.25

(b) Yes, they're independent because

Pr(X = x, Y = y) = 0.0625,

and

Pr(X = x) Pr(Y = y) = 0.25 • 0.25 = 0.0625.

(c) The mean of X is

E[X] = ∑ x Pr(X = x)

… = 0.25 ∑ x

… = 0.25 (0 + 5 + 10 + 15)

… = 7.5

and you would find the same mean for Y,

E[Y] = 7.5

The variance of X is

V[X] = E[X^2] - E[X]^2

… = (∑ x^2 Pr(X = x)) - 7.5^2

… = 0.25 (∑ x^2) - 56.25

… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25

… = 31.25

and similarly,

V[Y] = 31.25

(each sum is taken with x and y from {0, 5, 10, 15})

Answer:

1. Not equivalent

2. Not equivalent

3. Equivalent

4. Equivalent

5. Equivalent

Step-by-step explanation:

I will prove the ones that are equivalent, since the ones that aren't are pretty straightforward.

2(3h + 7) = 6h + 14

3. 6h + 7 + 7 = 6h + 14

4. 3h + 3h + 14 = 6h + 14

5. (3h + 7) + (3h + 7) = 6h + 14

Answer:

Cos(θ) = 8 / 17

Step-by-step explanation:

Cos = Adjacent / Hypotenuse

Side that is adjacent to θ = 8

hypotenuse of the triangle = 17

Cos(θ) = 8 / 17

Hope this helps!

Answer:

Step-by-step explanation:

1) (x) is economy class and (y) is first class

2) The objective function is to avoid making a loss in prophet making the train have the avalibility  for 10 economy class passengers and at least 20 first class passengers.

3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.

Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

probability of desired outcome:

Number of desired outcomes/number of total outcomes

To find the numerator just count the number of times the condition is satisfied

I get 5

1,5

2,4

3,3

4,2

5,1

The number of total outcomes is just 6² or 36

So the final answer is just 5/36

Answer:

c

Step-by-step explanation:

right on plato

Answer:

okie we will try our best

Answer:

Score with 6 questions wrong :

= 40 - (6×2)

= 40 - 12

= 28

Score with x questions wrong :

= 40 - (x×2)

= 40 - 2x

Answer:

The 5 in "5x"

Step-by-step explanation:

A coefficient is the number attached to a variable.

Hope this helped.