Find the Sin A, Cos A, and Tan A. (Write your answer as simplified ratios.)

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Answer:

A and C

Step-by-step explanation:

The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.

The solution x = 60 represents the total food bill. I did the test and got 100 percent

Answer:

The surface area of the composite figure is [tex]285.7\ units^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the lateral area of the rectangular prism plus the area of the base of rectangular prism plus the lateral area of the pyramid

[tex]SA=2(5+6)(7)+(5)(6)+2[\frac{1}{2}(6)(9.2)] +2[\frac{1}{2}(5)(9.3)]\\ \\SA=154+30+55.2+46.5\\ \\SA=285.7\ units^{2}[/tex]

Karla in her work does not consider the area of the base of the rectangular prism.

Answer:

B-She left out one of faces of the solid. She should have simplified

Step-by-step explanation:

the dude before me is wrong i got 100%

help a brother out find me on ticktock and gramy - yrkjncl

Final answer:

The expressions 2(x+3) and 2x+4+2x are not equivalent.

Explanation:

To determine if the expressions 2(x+3) and 2x+4+2x are equivalent, we can simplify them and compare the results. Let's simplify each expression when x=1:

2(x+3) = 2(1+3) = 2(4) = 8

2x+4+2x = 2(1)+4+2(1) = 2+4+2 = 8

Both expressions evaluate to 8 when x=1, so they are equivalent. Now, let's evaluate the first expression when x=2:

2(x+3) = 2(2+3) = 2(5) = 10

The first expression evaluates to 10 when x=2, which is different from the value of 8 obtained from the second expression. Therefore, the expressions 2(x+3) and 2x+4+2x are not equivalent.

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

         = 2(x-3/x) + 1

         = 2x -6 /x +1

         = 2x-6 +x/x

         = 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

            = 3x-6/x + 3

            = 3x-6+3x/x

            = 6x-6/x  

So, Option B is correct.

Answer:

75 in^3

Step-by-step explanation:

i know because i had the test, and the other persons answer is wrong :)

Answer:

25 + 144 = 169

Step-by-step explanation:

Take a look at the first possible answer:

5² + 12² = 13².  Is this true or not?

25 + 144 = 169, which is equal to 13².   This set of side lengths represents a right triangle.

Answer:

5² + 12² = 13²

Step-by-step explanation:

[tex] {5}^{2} + {12}^{2} = 25 + 144 = 169 \\ \\ \sqrt{169} = ±13[/tex]

I am joyous to assist you anytime.

Answer:

[tex]340,000\ people[/tex]

Step-by-step explanation:

step 1

Find the area of the circular region

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ mi[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(7)^{2}[/tex]

[tex]A=153.86\ mi^{2}[/tex]

step 2

Find the number of people who live in the region

Multiply the area by the density

so

[tex]A=153.86*(2,200)=338,492\ people[/tex]

Round to the nearest ten thousand

[tex]338,492=340,000\ people[/tex]

The number of people who live in the region to the nearest ten thousand is 340,000.

Population density is the amount of organisms that live in a square feet of an area.

Population density x area = population

Area = πr²

3.14 x 7² = 153.86 m²

Population = 153.86 x 2200 = 340,000

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y-x> 0 -----> inequality A

y> x

The solution of the inequality A is the shaded area above the dashed line y=x

x+1<0 ----> inequality B

x < -1

The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)

therefore

The solution of the system of inequalities in the attached figure

Multiply the two numbers.

48*60=2880 inches

I think this is the way to answer this question.

The answer is D. because when you solve the equation by combining expressions and isolating the variable, both equations have 2 solutions-

Answer:

D

Step-by-step explanation:

Answer:

D) The number of bacteria decreases by 7% each hour.

Step-by-step explanation:

Exponential functions describe situations where values do not increase at a linear or constant rate. Adding or subtracting every year or hour will result in a linear function, so A, B, and C are incorrect.

Option (D) The number of bacteria decreases by 7% each hour is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where 'a' is a constant and a>1

As we know, the exponential function increases rapidly according to the exponent.

It is not a linear function, and it never gives a negative value if the value of a>0

As the no other information was given.

Thus, option (D) The number of bacteria decreases by 7% each hour is correct.

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Answer:

[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]

Step-by-step explanation:

The graph of the cosine function can be obtained by shifting the sine function to the left by [tex]\frac{\pi}{2}[/tex] units.

The given cosine function is:

[tex]y=4\cos(\frac{3}{2}x+\frac{\pi}{6})[/tex]

When we shift this function to the left by [tex]\frac{\pi}{2}[/tex] units, we obtain a sine function

[tex]y=4\sin(\frac{3}{2}x+\frac{\pi}{6}+\frac{\pi}{2})[/tex]

[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]

These two functions have the same graph

The second option is correct.

Answer: Rob ate more crackers.

Symbol answer: 6/12 < 9/12

Step-by-Step explanation:

Common knowledge: Anytime you have the same numerator, with a different denominator, the one with the bigger denominator is always smaller. For example, if had a pizza with 6 slices and a pizza with 4 slices, the one with 6 slices and smaller and the one with 4 slices and bigger. Even though 6>4 that mindset has to change when thinking about a problem like this.

Another explanation:

If you still don’t get it, simply find a common denominator, so we’ll choose 12. Take 3/6 and multiply that by 2/2 so you get 6/12 and then take 3/4 and multiply that by 3/3 on both the (numerator and denominator) and that equals 9/12.

So now you have the expression: 6/12<9/12.

ANSWER

Frequency=2

Midline =3

Amplitude =5

Period =π

EXPLANATION

We have:

[tex]f(x) = 5 \cos(x) + 3[/tex]

The given function is of the form;

[tex]f(x) = a\cos(bx) + c[/tex]

where

a=|5| =5 is the amplitude

and b=2 is the frequency.

and 2π/b=2π/2=π

The range of the given function is

8≤y≤-2

The midline is

[tex] \frac{8 + - 2}{2} = \frac{6}{2} = 3[/tex]

Answer:

1. y = 3 - b. Midline

2. 2 - a. Frequency

3. 5 - c. Amplitude

4. π - d. Period

Step-by-step explanation:

We know that the standard cosine equation is in the form:

[tex] f(x) = a\cos(bx)+c [/tex]

where [tex] a [/tex] = amplitude,

[tex] b [/tex] = frequency,

[tex] c [/tex] = midline.

Therefore, for the given cosine equation:

Amplitude = 5,

Frequency = 2,

Midline = y = 3

Period = π

The probability is 1:2

Answer:

4/18

Step-by-step explanation:

You have 5 WHITE marbles and 5 Black marbles.

The probability of drawing a WHITE marble is 5/10  or 1/2

And the probability of drawing the second (marble another WHITE marble) is 4/9

So 1/2 x 4/9 = 4/18 or 5/10 x 4/9 = 20/90 / 5 = 4/18

Therefore the probability of drawing a WHITE marble not replacing it then drawing another WHITE marble is 4/18

Answer:

27 meters

Step-by-step explanation:

a=1/2bh

a=1/2(18)(6)

a=27

Check the picture below.

Answer: x<5

How?

-3x-12>3

(Add 12 to both sides)

-3x>15

(Divide -3 by 15)

x<5

(Remeber to flip the signs since you are dividing by a negative.)

Answer:

Graph of given function doesn't exist.

Step-by-step explanation:

Given equation is [tex]|x|=-2[/tex].

Now we need to determine about how do you graph [tex]|x|=-2[/tex].

We know that [tex]|x|[/tex] represents absolute value function.

By definition of absolute value function, we know  that output of [tex]|x|[/tex] must always be positive.

But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.

That is not possible.

Hence there is no solution to the given problem [tex]|x|=-2[/tex].

So the graph of given function doesn't exist.

Answer:

B

Step-by-step explanation:

B is the correct answer.  Since Mrs. Hooper and Mr. Anderson had to call a total of 8 parents, you know the first equation must be either A or B (H + A = 8).

Since you know that Mrs. Hooper had to call 2 more parents than Mr. Anderson, the equation will have to have H + 2 on one side; that's how you know the correct answer is B.

The set of equations which correctly describes the phone calls made is A. H + A = 8 ; H = A + 2.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

H denote the number of calls Mrs. Hooper made and A denote the number of calls Mr. Anderson made.

Mrs. Hooper and Mr. Anderson had to call a total of eight parents.

So, the equation representing this is, H + A = 8

Mrs. Hooper needed to call two more students than Mr. Anderson.

H = A + 2

So the set of equations are,

H + A = 8 ; H = A + 2

Hence the correct option is A. H + A = 8 ; H = A + 2

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Answer:

Part 1) [tex]20\ students[/tex]

Part 2) [tex]95\%[/tex]

Part 3) [tex]9\ games[/tex]

Step-by-step explanation:

Part 1) Using proportion

[tex]\frac{15}{75\%}=\frac{x}{100\%}\\ \\x=15*100/75\\ \\x=20\ students[/tex]

Part 2) Using proportion

[tex]\frac{40}{100\%}=\frac38}{x\%}\\ \\x=100*38/40\\ \\x=95\%[/tex]

Part 3) Using proportion

[tex]\frac{18}{100\%}=\frac{x}{50\%}\\ \\x=18*50/100\\ \\x=9\ games[/tex]

Answer:

what he said

Step-by-step explanation:

Answer:

Option D 4 inches is correct.

Step-by-step explanation:

Area of trapezoid = 48 square inches

Base a = 9

Base b = 15

We need to find the height h.

The formula for area of trapezoid is

Area = (a+b)/2 * h

Putting the values, we get

48 = ( 9+15)/2 * h

48 = (24)/2 * h

48 = 12 *h

=> h = 48/12

h = 4 inches

So, Option D 4 inches is correct.

Answer:

4 in.

Step-by-step explanation:

The area of a trapezium is calculated using the formula:

[tex]Area=\frac{1}{2}(Sum\:of\:the\:bases)\times height[/tex]

The given tra-pezoid has area [tex]48[/tex] square inches.

The bases are given as 9 inches and 15 inches.

We plug in the known values into the formula to get;

[tex]48=\frac{1}{2}(9+15)\times height[/tex]

[tex]48=\frac{1}{2}(24)\times height[/tex]

[tex]48=12\times height[/tex]

Divide both sides by 12.

[tex]\frac{48}{12}=height[/tex]

[tex]4 in.=height[/tex]

Therefore the height of the trapezoid is 2 inches.

The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.

1. 4x + 3 = 3x +12

Subtract 3x from each side:

x +3 = 12

Subtract 3 from both sides:

x = 9

2. -2 + x = 2x -7

Subtract 2x from both sides:

-2 - x =  -7

Add 2 to each side:

-x = -5

Multiply both sides by -1:

x = 5

The value of x for both the circles is 9  and 5 .

A tangent for a circle is defined as a straight line which touches the circle at just one point.

The tangent is perpendicular to the radius of the circle at the point of where tangent touches the circle.

It is given in the question to find the value of x

When two tangents meet at a point C , the distance between the point of tangency and the point C is equal for both the tangent.

Therefore for the given circle

For first circle to solve for x , we will equate the two distances

4x + 3 = 3x +12

x +3 = 12

x = 9

-2 + x = 2x -7

-2 - x =  -7

-x = -5

x = 5

Therefore the value of x for both the circles is 9  and 5 .

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Answer:

x=9   x=-1

Step-by-step explanation:

We can factor

x^2 -8x-9 =0

What 2 numbers multiply to -9 and add to -8

-9*1 = -9

-9 +1 = -8

(x-9) (x+1) =0

Using the zero product property

x-9 =0   x+1 =0

x=9   x=-1

Answer:

D: a single firm supplies all the output.

Step-by-step explanation:

A natural monopoly runs most efficiently when one large firm supplies all of the output.

A natural monopoly occurs when the most efficient number of firms in the industry is one. As the name suggests, monopoly means single. We can also say that it is a market structure characterized by a single seller, selling a unique product in the market.  

A natural monopoly functions by having a single firm supply all output in a specific market, typically due to economies of scale. This usually occurs in markets where having multiple firms would be inefficient and costly, such as utilities. Government usually regulates these to protect consumers.

A natural monopoly functions in a manner where a single firm supplies all the output in a particular market. This is typically because this single firm can produce the total output in the market at a lower cost compared to several firms due to economies of scale. For example, in the utilities industry (like water or electricity), it would be highly inefficient and costly to have multiple firms deliver these services. Therefore, a single firm, or a 'natural monopoly', can provide these services at a lower cost.

The government often regulates natural monopolies to prevent abuse of monopoly power. This is done to ensure fair prices and adequate supply to consumers.

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Answer:

Pemdas subtracting would be last

Step-by-step explanation:

The operation should perform last to evaluate the expression is Addition.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement.

B - Brackets, O - Order of powers or roots, (in some cases, 'of'), D - Division, M - Multiplication A - Addition, and S - Subtraction.

We have the expression,

(7×4)+(10÷2)×(14.7−9)

Now, using BODMAS first division is performed.

(7×4)+ 5 x (14.7−9)

Now, Multiplication is performed

28 + 5 x (14.7-9)

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Answer:

2a. If chagalti is being served, then you will have to use a tsibue.

2b. If you are using a tsibue, then chagalti is being served.

2c. If chagalti is not being served, then you dont have to use a tsibue.

2d. If you dont have to use a tsibue, then chagalti isnt being served.

2e. The converse must also be true because if you have to use a tsibue while eating chagalti, then when you arent eating chagalti, you dont need to use a tsibue.

Hope this helps!

Answer:

A

Step-by-step explanation:

means that as the value of one variable increases, the value of the other variable increases; as one decreases the other decreases.

13/8

fraction

I think cause you nees to add all of the socks together and put how many socks was black

Hello there!

Answer:

8/13

Step-by-step explanation:

In order to find the probability in questions like this, we would need to find the number that we want to get and the total amount of possibilities.

Important information in the text:

With the information, we can find the probability.

In the question, we are trying to find the probability of picking out a black sock, and there is 8 black socks. The 8 will go on our numerator.

Our denominator would be the total amount of things that leads to our probability. Since we only have 8 black socks and 5 yellow socks, we would add 8 + 5 to get the total amount of socks.

8 + 5 = 13

The 13 will go in the denominator.

When you put all of the stuff together, you should get 8/13. You can't simplify it because 13 is an odd number that can't get any smaller.

8/13 is the probability of picking out a black sock

A. 6y^2 - 13y + 6

Use the FOIL method of multiplying binomials.

First monomial in each binomial: 2y * 3y = 6y^2

Outside monomials: 2y * -2 = -4y

Inside monomials: -3 * 3y = -9y

Last monomial in each binomial: -3 * -2 = 6

Finally, add everything together. 6y^2 - 4y - 9y + 6

Simplify to 6y^2 - 13y + 6

Answer:

A

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

(2y - 3)(3y - 2)

= 2y(3y - 2) - 3(3y - 2) ← distribute both parenthesis

= 6y² - 4y - 9y + 6 ← collect like terms

= 6y² - 13y + 6 → A