Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?

Answer:

cosB = 21/75, tanB = 72/21

Step-by-step explanation:

Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:

SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan,  o is opposite and A is adjacent.

Answer:

I'm pretty sure that A is right.

Step-by-step explanation:

They share a side, making them equal.  It is also shown that RQ and SR are equal.  This means that, for SAS, all you need is the angle in between them.

I hope this helps!

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

Answer:

X is 6 or -6

Step-by-step explanation:

In absolute value it makes everything positive

Answer:

x = 6

Step-by-step explanation:

I hope this helps!

Answer:

(3x-4)(2x+5)

Step-by-step explanation:

6x^2 + 7x + 24

= 6x^2 + (15-8)x + 24

= 6x^2 + 15x - 8x + 24

= 3x( 2x+5 ) - 4( 2x+5 )

= (3x-4)(2x+5)

Answer:

-29

Step-by-step explanation:

first do the f function which gets you g(-21)

then do the g function

Answer:

5.99 dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

Answer:

25x^14

Step-by-step explanation:

Answer:

Y=-2/5x

Step-by-step explanation:

Y-int: (0,0)

x-int:(-2,5)

Answer:

i need help on this

What are some other things that have been engineered to help people deal with the effects of gravity?

Do you know how to do this- How does Douglass’s cultural point of view as a slave from the early 1800’s shape his motivation to become literate, yet also create obstacles for him? Provide at least two examples from the text. Write at least a 100-word response.

Like- I've been stuck for an hour

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]

Answer:

bottom right hand corner is false

Step-by-step explanation:

Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

Answer:

44%

Step-by-step explanation:

Answer:

Yes to both

Step-by-step explanation:

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

The general form of an nth degree polynomial is:

[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

The maximum number of terms that an nth -degree polynomial can have is n+1

For a fourth degree polynomial, n = 4

Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]

The maximum number of terms of p(x) above, when n = 4 is (4+1)

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

Learn more here: https://brainly.com/question/22340393

Answer:

20%

Step-by-step explanation:

First of all I don't known what the model thing is but I'll tell you the percent

25 /25

125 /25

= 1/5

1/5 as a percent=

1 *20

5 *20

= 20%

Answer:

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Step-by-step explanation:

(5x *8) + (5x *6) = 40x + 30x no

(5 * 8x) + (5 *6y) = 40x + 30y yes

10*40x + 10*30y = 400x + 300y no

10*4x + 10*3y = 40x + 30y yes

2y *20x + 2y*15 = 40xy + 30y no

2*20x + 2*15y = 40x + 30y yes

The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.

Given :

Expression  --  (40x + 30y)

The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):

Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).

Step 2 - Take the 10 common in the given expression.

= 40x + 30y

= 10(4x + 3y)

Step 3 - Also can take 2 common in the given expression.

= 40x + 30y

= 2(20x + 15y)

Therefore, the correct option is D) and F).

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

hello I'm getting free points

Answer:

a. 3x-12= -18 b. x=-2

Step-by-step explanation:

Answer:No, because when we divide 48/3=16 so 16 words are typed in 1 minute while when you divide 75/5=15 so 15 words are typed in 1 minute and 16 is greater than 15 so their not equivalent

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]72 + (7x + 24) = 180[/tex]

Add both [tex]72[/tex] and [tex]24[/tex] together:

[tex]72 + (7x + 24) = 180[/tex]

[tex]96 + 7x = 180[/tex]

-Subtract [tex]96[/tex] to both sides:

[tex]96 - 96 + 7x = 180 - 96[/tex]

[tex]7x = 84[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{84}{7}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

The value of x in the equation is 12

The given equation is: 72 + (7x+24) = 180

In order to determine the value of x, take the following steps:

1. Expand the terms in the bracket

72 + 7x+ 24 = 180

2. Combine similar terms

7x = 180 - 72 - 24

3. Add similar terms together

7x = 84

4. Divide both sides of the equation by 7

7x / 7 = 84/ 7

x = 12

In order to check if the value of x gotten is correct, substitute for x in the equation

72 + (7(12)+24) = 180

72 + 84 + 24 = 180

A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults

Answer:

11

Step-by-step explanation:

3(4-n)+8

n=3 so

3(4-3)+8

3(1)+8

3+8

11

Answer:

b

Step-by-step explanation:

Answer:

-7y + 2x + 11

Step-by-step explanation:

-5y - X + 7 - 2y + 3x + 4​

-7y + 2x + 11

Answer: 2x-7y+11

Step-by-step explanation:

Add the x's and then add the y's. add the 4 and seven because they do not have a variable.