Without using a calculator, find the value of sin^2(55) + cos^2(55) - sin(60)/cos(30)

Answers

Answer 1

Answer:2 minus the square root of 3 divided by 2

Step-by-step explanation:


Related Questions

What is a parent in a graph?

Answers

A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

What is a Parent Function?

A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.

The most basic parent function is called a constant function. A constant function is one such that y = b, where b is the constant value. A constant function creates a straight horizontal line that will intersect the y -axis.

Hence the answer is A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

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The braking distance y in feet that it takes a car to stop on​ wet, level pavement can be estimated by y=1/25x^2 ​, where x is the speed of the car in miles per hour. Find the speed associated with the braking distance of 196 feet.

Answers

in essence, find "x" when y = 196

[tex]y = \cfrac{1}{25}x^2\qquad \stackrel{\textit{when y = 196}}{196=\cfrac{1}{25}x^2}\implies (196)(25)=x^2 \\\\\\ \sqrt{(196)(25)}=x\implies {\Large \begin{array}{llll} \stackrel{\frac{m}{h}}{70}=x \end{array}}[/tex]

How do you isolate the variable by dividing each side by factors that don't contain the variable?

Answers

We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

According to the question,

We have the following information:

Isolating a variable by dividing each side of the equation in which one side does not contain any variable.

Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.

Now, this can be done as follows in the given equation:

2x = 14

Now, the variable x can be isolated by dividing both sides of the equation by 2:

x = 14/2

x = 7

Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

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HURRY PLS!!

Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
A. Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of buckets of popcorn and the other axis to represent the number of drinks.
Explain your graph.

B. Graph the absolute value function.

C. (a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?

Answers

The equation of Kevin's scenario is 4x + 2y = 45

The absolute equation is y = 2|x - 3| + 5The equation of the linear function in slope-intercept form is y = 2x + 3The equation of the transformed function in slope-intercept form is y = 2x - 1

How to determine Kevin's equation

From the question, we have the following parameters

Amount = $45Bucket of popcorn = $4Bucket of each drink= Half the bucket of popcorn = $2

Represent the buckets of popcorn with x and the number of drinks with y

So, we have the following equation

4x + 2y = total amount

This gives

4x + 2y = 45

See attachment for the graph

The graph of an absolute function

An absolute function is represented as

y = a|x - h| + k

Where the vertex is (h, k)

So, we make use of the following function

y = 2|x - 3| + 5

See attachment 2 for the graph

The graph of a linear function

Here, we are to make use of any equation

A linear equation is represented as

y = mx + b

Where

slope = m

y-intercept = b

So, we make use of

m = 2 and b = 3

This gives

y = 2x + 3

When transformed 2 units up and 3 units down, the resulting equation is

y = 2x + 2 - 3

Evaluate

y = 2x - 1

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what is the solution a b to this system of linear equations 3a6b45 2a 2b 12

Answers

Solution of the system of linear equation 3a + 6b = 45 , 2a -2b = -12 is equal to a = 1 and b =7.

As given in the question,

System of linear equation are:

3a + 6b = 45 __( 1 )

2a - 2b = -12 __(2 )

Solution of the linear equation by elimination method is given by:

Multiply ( 2 ) by 3 and add it to (1) we get,

3a + 6b = 45

6a - 6b = -36

9a         = 9

⇒ a = 1

Substitute the value of a = 1 in (1) we get,

3( 1 ) + 6b = 45

⇒ 6b = 42

⇒ b = 7

Therefore, the solution of the system of linear equation is a = 1 and

b =7.

The complete question is :

What is the solution (a, b) to this system of linear equations?

3a+6b = 45 ,  2a-2b = -12

a. (-27, 6)

b. (-1, 7)

c. (1, 7)

d. (27, -6)

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A line is parallel to the line y = -x + 5 and passes through the point (4. - 1). Which of the following is an equation of the
line?

Answers

Answer:

y = -x + 3; could also be y + 1 = -(x - 4)  or  y = -(x - 4) - 1  or x + y = 3

Step-by-step explanation:

No options given, so I hope this helps.

1. Identify any of the equations that have the same slope as your given equation (-1). If there's only one, stop here.

2. Find the y-intercept by replacing (x,y)=(4,-1) in the equation y = -x + b and solve for b: -1 = -(4) + b  ==> 3 = b

3. Replace b in the equation y = -x + b with 3.

a rectange has the area of 60 in2. what can its dimentions be? copy and fill in the chart. length 1,2,10,30,120,3,_,5,_ width 60,_,_,_,_,_,5,_,100
PLS HELP FAST

Answers

The length and width of the rectangle can be 30 and 2 inches, 1 inches and 60 inches and 12 inches and 5 inches.

How to find the area of a rectangle?

A rectangle is a quadrilateral with opposite sides equal to each other. Opposite sides of a rectangle is equal to each other.

A rectangle has the area of 60 in².

The dimension of the rectangle can be as follows:

area of a rectangle = lw

where

l = lengthw = width

Therefore,

60 = 30 × 2

60 = 1 × 60

60 = 12 × 5

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What is the double of 8 in math?

Answers

Using doubles plus one fact the sum of 8 + 8 + 1is equal to 17 it is done by simply adding 1 to the given number.

Doubles plus one fact is used to add numbers which are next to each other.

Doubles plus one fact is simply done by doubling the number and adding one to it.

The sum of 8 + 8 can be determined by using doubles plus one fact as:

Simply add 1 in 8 + 8 + 1 to get the result required.

8 + 8 + 1 = 17

Therefore by using doubles plus one fact the sum of 8 + 8 + 1 is equal to 17.

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What is the rate of change for the equation y = 4x + 100?
The rate of change is .

Answers

The rate of change for the given equation is 4.

What Is the Rate of Change Formula?

The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to coordinates of x can found out as

Δy/ Δx = (y2 - y1 )/ (x2 - x1).

Given an equation, y = 4x + 100

Slope = 4

Hence, The rate of change for the given equation is 4.

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write -1/2x + 4 = 10 in slope intercept form

Answers

Answer:    y=-1/2x+4

Step-by-step explanation:


A soda container holds 5 gallons of soda. How many ounces of soda does this container hold?
1 quart = 32 ounces
1 gallon = 4 quarts
1)44
2)176
3)640
4)704

Answers

The answer is 2)640

0.9 + 3.706 + 54.23 + .1637 =

Answers

Answer: i think its 58.9997

Step-by-step explanation:

How can dilations and similarity be modeled in real-world examples?

Answers

Answer:

It is common to dilate photos to fit the space that you want it to fit. In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence. In architecture.

Step-by-step explanation:

HELP ME QUICK PLEASE!!!!!

Which inequality is a true statement?
Select each correct answer.
-3>-1
-3 ≥ -1
-3=-1
-3≤-1
-3 <-1

Answers

Answer:

-3 <-1

-3 is less than -1.

Which graph represents the solution set of the system of inequalities?
y ≤ 2x + 1
y>-21-3

Answers

Answer:

see below

Step-by-step explanation:

1. Notice that your inequalities have ≤ and >. So one of the lines on the graph must be dotted, eliminating the bottom two choices.

2. The lines on both of the top choices are graphed identically, so now it's all about shading. The best way to determine correct shading is by testing a point to see if it makes a true statement in BOTH inequalities.

 a) Choose a point in the shaded region of the first option (I highly recommend (0,0)!!). Replace x and y in each inequality with the x and y from the point, and evaluate:

     0 ≤ 2(0) + 1?  ⇒  0 ≤ 1 TRUE

     0 > -2(0) - 3  ⇒  0 > -3 TRUE

 b) Since that point made both true statements, the first option is correct. If EITHER statement had been false, you would need to try a point in the shaded region of the second option. I recommend any where x=0 or y=0.

A mathematical statement that ________ two quantities using <, >, =

Answers

Answer:

compares

Step-by-step explanation:

PLEASE HELP ASAP!!! FULL ANSWER!!!
A person standing close to the edge on top of a 40-foot building throws a ball vertically upward. The quadratic function h = − 16t^2 + 72t + 40 models the ball's height above the ground, h , in feet, t seconds after it was thrown.

a) What is the maximum height of the ball? _____________ feet

b) How many seconds does it take until the ball hits the ground? _____________ seconds

Answers

Answer:

a) 121 feet ; b) 5 seconds

Step-by-step explanation:

maximum height = y coordinare of vertex


x coordinate = -72/2 * -16

-72/-32 = 9/4 = 2.25


y coordinate =

-16(2.25)^2 + 72(2.25) + 40

-81 + 162 + 40

-81 + 202 = 121 feet


The ball hits the ground when y = 0

-16t^2 + 72t + 40 = 0

-2t^2 + 9t + 5 = 0


discriminant = 81 -4 (-2 * 5) = 81 -4(-10) = 81 + 40 = 121

We are searching only positive value

t = (-9 -11)/-4 = -20/-4 = 5 seconds

2. Claire is painting some windows that are all the same size. She used gallon of paint to paint 2 windows. How many gallons of paint are needed to paint 1 window?​

Answers

Answer:3

Step-by-step explanation:

since 7 is a number and b is to u should just put 3 windows cause u need to add them all up i think, not sure but just do that, why not,

What is the length of the radius of a circle given the equation x² y² 8?

Answers

The length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

What is a circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

In the center of a circle, equal chords subtend equal angles.

The chord is divided in half by the radius drawn perpendicular to it.

So, the length of the radius of the circle is:

The formula for the circle's general equation is: (x - h)² + (y - k)² = r²

Where, the center is (h, k) and the radius is represented by r.

The equation we have: x² + y² = 8

Then, r² = 8

Taking square root as follows:
r = √8

r = √2*2*2

r = 2√2

Therefore, the length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

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Correct question:
What is the radius of the circle whose equation is x² + y² = 8?

Please help! Need this by tonight thanks! Question 7 Click on picture

Answers

Answer:

Oh god, I don't really know much about this, but I am going to assume that the 25 represents the mn so maybe you have to put 25mn + 6600 on the first box?

Step-by-step explanation:

I just looked up how to do this. I think the form has to be a C=mn+b format. For the third box, I think you need to solve 54100=25mn+6600. On the second box I think you just need to solve C(3600)=25(3600)+6600. idrk


By rounding each number to the nearest 10, estimate the value of 197 ÷ 10.3

Answers

Answer:

20

Step-by-step explanation:

197 rounded to the nearest 10 is 200.

10.3 rounded to the nearest 10 is 10.

So, 200 ÷ 10 = 20

Answer:

20

Step-by-step explanation:

We are rounding to the nearest 10.

197≈200

10.3≈10

After you have rounded the numbers, The equation simplifies a whole bunch.

200/10=20

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What are the 4 steps to solve a Punnett square?

Answers

Answer step-by-step explanation:

Step 1: Write out the cross T = tall, t = short Tt x Tt.

Step 2: Draw 2 by 2 Punnett square.

Step 3: Write the alleles for parent 1 on.

the left side of the Punnett square.

Step 4: Write the alleles from parent 2.

above the Punnett square.

Graph the line for y-6=-4(x+2) on the coordinate plane.

Answers

Answer:

x

Step-by-step explanation:

x

Answer:

Step-by-step explanation:

the answer is 8

if the probability of selecting the number is 3/10, the what could the question be?

Answers

The question can be:

"From the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

What is the probability of randomly selecting a multiple of 3?"

The answer is that the probability is 3/2, as expected.

What could the question be?

We want to find a question about probability, such that the answer is 3/10.

So we will have a set of 10 numbers, and 3 of them make a given event true, the probability of selecting one of these 3 numbers out of the whole set is:

P = 3/10

So, for example:

From the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

What is the probability of randomly selecting a multiple of 3?

There are 3 multiples of 3 on that set of 10 numbers, then the probability is P = 3/10.

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5x-1=3x+5 an equation

Answers

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]5x-1=3x+5[/tex]

Get the x's on one side.

Add 1:

[tex]5x-1=3x+5\\\box \ \ +1) \ \ (\ \ \ \ +1)[/tex]

[tex]5x=3x+6[/tex]

Subtract 3x from both sides.

[tex]\ \ \ 5x=\ \: 3x+6\\\underline{-3x} \ \ \ \ \underline{-3x}\\[/tex]

[tex]2x = 6[/tex]

Finally, divide both sides by 2.

[tex]2x / 2 = 6/2[/tex]

[tex]x = 3[/tex]

In, a city had a population of 310,000 people. Each year since 2007, the population has grown by 4.8%.
Let t be the number of years since. Let y be the city's population.
Write an exponential function showing the relationship between t and y.

Answers

The exponential function showing the relationship between t and y is y = 310000(1.048)⁺

How to determine the exponential function?

From the question, we have the following parameters that can be used in our computation:

Initial population = 310000

Rate of growth = 4.8%

These parameters can be represeted as

a = 310000 and r = 4.8%

An exponential function is represented as

y = a(1 + r)⁺

Substitute the known values in the above equation, so, we have the following representation

y = 310000 (1 + 4.8%)⁺

Evaluate

y = 310000(1.048)⁺

Hence, the function is y = 310000(1.048)⁺

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Please help will mark Brainly

Answers

Answer: Horizontal Translation

Step-by-step explanation:

Are the triangles congruent Why or why not triangle congruence ASA and AAS?

Answers

ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

Two triangles are said to be congruent if their all corresponding sides are equal and all corresponding angles are equal in measure.

For the given question,

We know that the sum of all angles of a triangle is 180°.

For ΔABC,

∠A + ∠B + ∠C = 180°

42° + 53° + ∠C = 180°

95° + ∠C = 180

∠C = 85°

For ΔABC and ΔRQM,

∠A = ∠R

∠C = ∠Q

AB = RM

So, by the AAS postulate, ΔABC and ΔRQM are congruent triangles.

For ΔRQM,

∠R + ∠Q + ∠M = 180°

42° + 85° + ∠M = 180°

∠M = 53°

For ΔABC and ΔRQM,

∠A = ∠R

∠B = ∠M

AB = RM

So, by the ASA postulate, ΔABC and ΔRQM are congruent triangles.

Therefore, ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

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The complete question is -

Are the triangles congruent Why or why not triangle congruence ASA and AAS?

A baseball player has 746 plate appearances in his first year, 727 plate appearances
in his second year, and 512 plate appearances in his third year. How many plate
has the player had in three years?
appearances
O 2,075
O 1,975
O 1,885
O 1,985

Answers

The player has a total plate of 1985 plate appearances (optionD)

What is addition?

Addition is a way of combining things and counting them together as one large group. Addition is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum. For example if there a 5oranges, 6 bananas and 9 pineapple Ina basket. The total fruit in the basket is 5+6+9= 20 fruits

The baseball player has 746 plate appearances in his first year and 727 plate appearances in the second year and 512 in his third year.

The total plate appearances = 746+727+512=1985 plate appearances

Therefore the plate appearance the player had in three years is 1985 plate appearances.

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What is an equation of the line that passes through the points (-6,6) and (-3,1)?

Answers

Answer:

y=-[tex]\frac{5}{3}[/tex]x-4

Step-by-step explanation:

find the slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-6}{-3+6}[/tex]

m=-[tex]\frac{5}{3}[/tex]

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-[tex]\frac{5}{3}[/tex](-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-[tex]\frac{5}{3}[/tex]x-4

Answer:

y= -1.6x+12Step-by-step explanation:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

y=-1.6x+12

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