Use trigonometric ratios to determine the length of x in the right triangle below.71°5 cmRound your answer to the nearest tenth, and do not include "x ="or the units in your answer. Just enter the numericalvalue

Given the following question:

Check = $60.67

Ari wants to leave a 20% tip

To find the answer we have to find 20% of $60.67

The tip is $12.13

The total cost = tip + check

The total costs = $72.8

Part A:

To determine the price per snack, just multiply any value of the column Amount collected, by its corresponding value in the column of Number of snakcs sold:

53.75/43 = 1.25

Hence, the price per snack is 1.25 dollars

Part B:

The equation is a linear equation. The general formula for a linear equation is:

y - yo = m(x - xo)

where m is the slope and (xo,yo) is a pair of values of the table.

m is calculate as follow:

m = (y2 - y1)/(x2 - x1)

m =

A fraction in simplest form is  1/81.

[tex]\left(\frac{1}{3}\right)^4[/tex]

Apply exponent rule: [tex]$\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$[/tex]

[tex]=\frac{1^4}{3^4}[/tex]

[tex]$$\begin{aligned}&1^4=1 \\&=\frac{1}{3^4}\end{aligned}$$[/tex]

[tex]$$\begin{aligned}&3^4=81 \\&=\frac{1}{81}\end{aligned}$$[/tex]

A fraction is a portion of a larger total. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complicated fraction contains a fraction in either the numerator or the denominator. A suitable fraction has a numerator that is less than the denominator.

In mathematics, a fraction is defined as a portion of the whole. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and judge numbers and speed up calculations.

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Given

Therefore, the average rate of return under continous compounding is approximately 8.9%.

ANSWER

x + y = 4

EXPLANATION

The standard form of a linear equation is given as:

ax + by = c

To do this, we have to find the equation of the line using point-slope method:

y - y1 = m(x - x1)

where (x1, y1) is the point the line passes through

m = slope

The given slope is -1 ad the point the line passes through is (1, 3).

Therefore, we have:

y - 3 = -1(x - 1)

y - 3 = -x + 1

=> x + y = 1 + 3

x + y = 4

That is the equation of the line in standard form.

12 times a number g ​means that the coefficient 12 is multiplying the variable g, just as follow:

12g

We have the next equation

We sum similar terms

then we clear x

the value of x=4

the polynomial must be even, so we chose x²

it has at least 2 terms, then we add 1 to the previous item, we get: x² + 1

to get outputs larger and larger in the negative direction, we have to multiply the previous item by -1 to get: -x² - 1

This function has a graph like the next one:

Then, -x² - 1 satisfies all the features needed

Explanation

We are told to find the midpoint of the line segment. To do so, we will use the formula:

In our case

Substituting the values above

Thus, the midpoint is (6,1)

7) The angle asked is ajacent to the leg given and we also have the hypotenuse. So we can use cossine:

8) Here we want the hypotenus given an angle an its opposite leg. So we can use sine:

9) We want the leg which is opposite of a given angle and we have the hypotenuse. So we can use sine again:

In order to graph line first we need to calculate the equation of the line

where m is the slope and (x1,y1) is a line where the line passing throught

in our case

m=3/4

(x1,y1)=(-4,5)

Then we isolate the y

We can calculate another point to obtain the graph in this case the y-intercept (0,8)

The points are

(-4,5) and (0,8)

the graph is

EXPLANATION

Since Brian drives at a constant speed, in order to get the rate, we need to compute the slope, by applying the slope equation, as shown as follows:

Where (x_1,y_1)=(20,100) (x_2,y_2)= (50,140)

Plugging in the terms into the slope equation:

In conclusion, the distance will increase by 4 miles per hour.

A transformation is nonrigid transformation if it does not preserve the structure of the original object.

An example of a nonrigid transformation is the dilation, and its general rule is:

where 'k' is the scale factor

One daylily $10 and 1 shrub $11

1) Gathering the data from the question

Erica spent $200 on 9 daylillies and 10 shrubs

Megan spent $185 on 13 daylilies and 5 shrubs

9d+10s=200

13d+5s=185

2) Let's solve this system of linear equations now

9d+10s=200

13d+5s=185 Multiply by (-2)

9d +10s=200

-26d-10=-370

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

-17d =-170

17d=170

d=10

9(10) +10s=200

90+10s-90=200-90

10s=200-90

10s=110

s=11

So the cost of one daylily is$10 and 1 shrub is $11

The vertices of the given figure are

A(1, -1), B(5.-6), and C(1, - 6).

For a 90 counterclockwise about the origin, a coordinate, (x, y) would be (- y, x)

This means that after the 90 degrees rotation,

coordinate A would be (- - 1, 1) = (1, 1)

Coordinate B would be (- - 6, 5) = (6, 5)

Coordinate C would be (- - 6, 1) = (6, 1)

Given: The amout charged per ticket is $8.50

If x tickets are sold

Then the total revenue (amount made) will be =>

If t(x) represents how much the studio collects

and k(x) represents how much is kept

Given: t(x) = 75% then

k(x)= (100 -75)%= 25 %

So that

The total amount that will be kept will be

25% of $8.50x

=>

The amount that will be kept will be

= > $2.125x

Where x is the number of tickets

(f/g)(x) = f(x)/f(g)

Domain: x cannot equal 2

Average batting rate for the season is 0.432.

Given,

Number of hits in first half of the season =11

Number of hits in second half of the season = 5

Number of times at bat during first half of the season = 30

Number of times at bat during second half of the season = 7

then,

Total number of hits in the season = 11+5 = 16

Total number of times at bat during the season = 30+7 =37      

To find average batting rate use formula,

                                                      [tex]Average batting rate of season =\frac{Total number of hits in season}{Total number of at bat during season} \\\\=\frac{16}{37}\\\\ =0.432[/tex]

Hence, the batter's average batting rate for the season is 0.432.

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a) Mean = 76

b) Standard deviation = 6.728

The data set has frequency. So we will apply the formula:

To get the standard deviation, we will apply the formula:

using,

RS/ST = WV/VT

Where,

RS = 24

ST = 2x + 11

WV

Options C and D satisfy the given condition

The function is defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given condition f(-x) = f(x)

Now to find which option satisfies the condition

So we can go through from the options to simply this

If f(x) = root x

= -root x

If f(x) = 2x

= -2x

If f(x) = x2

= x2

If f(x ) = x2

= x2

If f(x ) 2x

= 2-x

Therefore options C and D satisfy the given condition

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Answer:= 2-x

Step-by-step explanation:

A line passes through (5,3) with a slope of 3/5,

where m = slope

Therefore the points for the graph are:

EXPLANATION:

We are given the function which models Lindy's height x seconds after she jumps straight up a trampoline. The function is expressed as;

Where x is the time in seconds after she jumps, and v_0 is the initial velocity. The result of the function is her height after jumping with the given time x.

If she lands back on the trampoline one second after she jumps, then she is at a height of zero.

The function can now be re-written as follows;

We can now simplify;

Add

to both sides;

Therefore;

ANSWER:

The value of v_0( her initial velocity) is;

Answer:

405

Step-by-step explanation:

don't forget to follow rate like

SOLUTION

From the truth-table of logic, (p or q) is true either if:

- p is true and q is false

- q is true and p is false

- both p is true and q is true.

Hence these 3 statements must p satisfied for (p or q) to be true.

So, looking at the options, B, C and D are correct

Hence the answer is B, C and D

In order to determine the required probability, calculate the total area of the shaded regions frist:

Consider that there is a rectangle and a triangle with shaded area, then, you have:

A1 = (1 ft)(2 ft) = 2 ft² rectangle area

A2 = (2 ft)(2 ft)/2 = 2ft² triangle area

Then, the total shaded area is:

A = A1 + A2

A = 2 ft² + 2 ft²

A = 4 ft²

Next, calculate the total area of the given figure:

A' = (3 ft + 1 ft)(2 ft) = 8 ft²

Next, the probability is the quotient in between the area of th shaded regions over the area of the total figure:

p = A/A'

p = (2 ft²)/(4 ft²)

p = 0.50

Hence, the probability that a point chosen is inside a shaded region is 0.50

ANSWER

EXPLANATION

We want to find the slope of the given line:

First, put the line in the slope-intercept form:

where m = slope; b = y-intercept

Therefore, we have that:

From the equation above, we see that the slope of the line is:

The expression 5a + 3c can be used to find the cost of a adults and c children to attend the school play, so we have a expression as a function of the number of adults a and the number of children c. Therefore:

What is the cost of 4 adults and 9 children to attend the school play?​

$47

Given:

• Upper Base of trapezoid = 8 cm

• Lower base = 20 cm

• Length of one leg (also height) = 5 cm

• Length of other leg = 13 cm

Let's find the area of the trapezoid.

To find the area of the trapezoid, apply the formula:

Where:

A is the area

a is the length of upper base = 8 cm

b is the length of the lower base = 20 cm

h is the height = 5 cm

Plug in the values for a, b, and h to find the area, A:

Therefore, the area of the trapezoid is 70 cm^2