Write the tangent equation to solve for angle f

Answer:

21

best of luck!

Answer:

21

Step-by-step explanation:

1 + 2 = 3

3 + 3 = 6

6 + 4 = 10

10 + 5 = 15

15 + 6 = 21

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The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

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Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.

A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).

The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.

Given,

the slope of line = - 4 and point = (2,-8)

The equation of line = y - yo = m (x - xo)

where m = slope and x,y are coordinates

y + 8 = - 4 (x - 2)

y + 8 = - 4x + 8

y = - 4x

Therefore, the correct answer is option A, y+ 8 = -4(x-2)

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Answer

50

Step-by-step explanation:

60 is supplementary to 120 so 60+70=130

and a triangle adds up to 180 so 180-130 would be 50

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Answer:

\frac{3+x\frac{-4}{4xy}}{4x}

4x

3+x  

4xy

−4

​

​

Step-by-step explanation:

Answer:

The formula for the population P, of the town as a function of year t, if the population increases by 60 people per year, is:

P(t) = 1900 + 60t

where t is the number of years elapsed since t=0.

The formula for the population P, of the town as a function of year t is

P = 1900 + 60t

We have,

If the population increases by 60 people per year, then we can use the following formula to find the population P as a function of time t (in years):

P = 1900 + 60t

Here, the initial population at t=0 is 1900 people, and the population increases by 60 people per year,

So we add 60t to the initial population to get the population at time t.

For example,

If we want to find the population after 5 years, we can substitute t=5 into the formula:

P = 1900 + 60(5) = 2200

So the population after 5 years would be 2200 people.

Thus,

The formula for the population P, of the town as a function of year t is

P = 1900 + 60t

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Answer:

We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.

Sam and Bruno were computing how many kilometers.

Also one kilometer equals 0.621 miles.

From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.

In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.

We always divide a larger value by a smaller value to get the smaller unit.

Therefore,

Bruno is correct. When going from a larger unit to a smaller unit you need to divide.

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get u a better answer.

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Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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The given histogram is bimodal, which is the last option/ option E, as bimodal distribution means that the data set has two distinct peaks or modes. In a bimodal histogram, the bars are grouped in a way that shows two prominent peaks or modes in the data.

Each bar in the histogram represents a specific range of values, and the height of the bar indicates the frequency or count of data points falling within that range. In a bimodal histogram, there will be two relatively high bars that correspond to the two modes of the data. The bimodal histogram is useful for visualizing and analyzing data sets that exhibit two distinct groups or clusters. It provides a clear visual representation of the two modes and their frequencies, which can help in identifying patterns and understanding the underlying characteristics of the data.

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Answer:

-3<lxl<5

Step-by-step explanation:

take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid

Answer:

Here

Step-by-step explanation:

Make each one fraction like 5 red will be a 1/20 chance. After you make them all fractions, multiply the right ones(green or black).

From the question, if we find the ration of the value given,

It shows 1h : $9

So for every 1h, it is equivalent to $9

Hence, option A is the correct option (4h/$36).

Answer: I think that this is the answer

standard form of equation for ellipse with vertical major axis (a^2 under y^2):

(x-h)^2/b^2+(y-k)^2/a^2=1,a>b, (h,k) being the (x,y) coordinates of the center.

For given equation: x^2/9+y^2/36=1

center: (0,0)

a^2=36

a=√36=6

length of vertical major axis=2a=12

Vertices are end points of major axis=(0,0�a)=(0,0�6)=(0,-6) and (0,6)

Vertices are at (0,-6) and (0,6)

Step-by-step explanation:

Answer:

Explanation: General formula for vertical ellipse Given: x24+y29=1 ... Use the equation provided above, and "plug it" in.

Answer:

green triangle

Step-by-step explanation:

The green triangle has an area of

A = 1/2 bh

A = 1/2 (15) * 19

A =142.5 ft^2

The blue triangle has an area of

A = 1/2 bh

A = 1/2(16.1) (16.4)

A =132.02 ft^2

The green triangle has a greater area

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Answer:

Hello There!

~~~~~~~~~~~~~~~~~~~`

3 − x = 2 =

X = 1

Isolate the variable by dividing each side by factors that don't contain the variable.

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Answer: x = 1 / 1 = x.

Step-by-step explanation:

3 - x = 2

First, since you can't subtract x from 3, we find ways to subtract 2 from 3.

So, we write the 3 and attach (-) minus/negative sign to the 3 with 2. Because when a number crosses the equal sign and it is negative, it becomes positive and when it is positive, it becomes negative.

And 2 will cross the equal sign so,it will be (-) just like: -2. And -x will cross the equal sign so it will be x. Let's solve it with the steps above:

3 - x = 2

3 - 2 = x

1. = x

OR

3 - x = 2

-x = 2 - 3

-x/- = -1/-

So, negative will cancel negative.

x =1.

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Answer:The shape of the probability distribution is skewed to the left with a single peak at T=27 times

Step-by-step explanation:

The limit of [f(x) - f(2)]/[x - 2] as x approaches 2 is 20

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

f(x) = 5(x2 – 1)

Rewrite as

f(x) = 5(x² – 1)

The limit is given as

[f(x) - f(2)]/[x - 2]

Calculate f(2)

So, we have

f(2) = 5(2² – 1)

Evaluate

f(2) = 15

Substitute f(2) = 15 in [f(x) - f(2)]/[x - 2]

So, we have

[f(x) - f(2)]/[x - 2] = [5(x² – 1) - 15]/[x - 2]

Open the brackets

[f(x) - f(2)]/[x - 2] = [5x² – 5 - 15]/[x - 2]

Evaluate the like terms

[f(x) - f(2)]/[x - 2] = [5x² – 20]/[x - 2]

Factorize

[f(x) - f(2)]/[x - 2] = [5(x² – 4)]/[x - 2]

Express as difference of two squares

[f(x) - f(2)]/[x - 2] = [5(x – 2)(x + 2)]/[x - 2]

Divide

[f(x) - f(2)]/[x - 2] = 5(x + 2)

Limit x to 2

[f(x) - f(2)]/[x - 2] = 5(2 + 2)

Evaluate

[f(x) - f(2)]/[x - 2] = 20

Hence, the limit is 20

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Answer:

A. Reflection

B. Enlargement

C. Rotation

D. Reflection

E. Translation

F. Reflection

Step-by-step explanation:

Answer: x>-5

Step-by-step explanation:

For this problem there are 2 ways to solve for x.

Solution 1

6((x/2)+4)≥9            [distribute 6 to x/2 and 4]

3x+24≥9                 [subtract 24 on both sides]

3x≥-15                     [divide both sides by 3]

x≥-5        

-----------------------------------------------------------------------------------

Solution 2        

6((x/2)+4)≥9             [divide both sides by 6]

(x/2)+4≥1.5               [subtract 4 on both sides]

x/2≥-2.5                   [multiply 2 on both sides]

x≥-5

Answer:

3

Step-by-step explanation:

27^1/3 = cuberoot(27) = 3

Answer:

its b

Step-by-step explanation:

Product B performed worse because only 26% failed to get relief with this product, but only 20% failed from product A.