Describe two ways to solve the equation 2(4x-11)=10

Final answer:

To find angle measures using trigonometric ratios, such as sine, cosine, and tangent, as well as their reciprocals (cosecant, secant, and cotangent), use SOHCAHTOA to relate the sides of the triangle to the angle. Utilize the inverse trigonometric functions (like arccos) on your calculator to find the angle's measure from the ratio you have calculated with sides of the triangle.

Explanation:

To find angle measures using trigonometric ratios in a right triangle, we can use the mnemonic SOHCAHTOA, which stands for Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, and Tangent equals Opposite over Adjacent. Let's create an example:

Suppose we have a right triangle with a hypotenuse (h) of 10 units and an adjacent side (x) to angle theta of 8 units.

To find the cosine of angle theta, we use the ratio Cos(theta) = x/h. Thus, Cos(theta) = 8/10 = 0.8.

To determine the actual measure of angle theta, we use the inverse cosine function: theta = arccos(0.8), which gives us the angle's measure in degrees or radians.

For the reciprocal, secant (Sec) is simply the inverse of cosine: Sec(theta) = 1/Cos(theta) = 10/8 = 1.25.

If we needed to use the cotangent, which is the reciprocal of the tangent, we would first need to find the opposite side (y) using the Pythagorean theorem and then use the ratio Cot(theta) = x/y.

It's essential to understand these relationships and how to use the inverse functions to find the angle measures in a right triangle. Reciprocal relationships involve the use of cosecant (Csc), which is 1/Sin(theta), secant (Sec), and cotangent (Cot), which is 1/Tan(theta). Always make sure your calculator is set to the correct unit (degrees or radians) before calculating the angle.

Answer: The correct option is fourth option.

Explanation:

The given function is,

p(x)=|x-1|

The graph of the given function is a transformed form of f(x)=|x|.

The parent modulus function is,

P(x)=|x+a|+b

If a>0, then graph shifts left by a units and if a<0, then  graph shifts right by a units.

If b>0, then graph shifts upward by b units and if b<0, then  graph shifts downward by b units.

Since the value of a is -1 and value of b is 0, therefore the graph of f(x)=|x| shifts right side by 1 unit.

Hence the fourth option is correct.

Other way to choose the correct option is find the x intercept and y intercept.

Put x=0

P(x)=|0-1|= -1

So y-intercept is (0,-1)

Put p(x)=0

0=|x-1|

x=1

So, the x-intercept is (1,0).

From x and y-intercepts, we can say that the fourth option is correct.

Answer:

Fourth graph represent the  function p(x) = |x – 1|.

Step-by-step explanation:

Given :  Function p(x) = |x – 1|.

To find : Graph .

Solution : We have given that  Function p(x) = |x – 1|.

The graph of the given function is a transformed form of f(x)=|x|.

By the transformation rule f(x-h)  graph would be shifted to right by h units.

Since ,  grapf of function f(x)=|x| became shifted to 1 unit right.

Therefore , fourth graph represent the  function p(x) = |x – 1|.

2x+2 + 5x+3 = 180

7x+5 = 180

7x = 175

x = 175/7 = 25

x = 25

Answer:

a

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

because its just easy trust me it is !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i just need points but fr fr its 40

Answer:

this is the question from edgenunity i bet

alright first the question is

4(8-2y)4y+ less than or equal to  32 -8

we'll solve for Y by Isolating the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y ≥ 2

the correct answer for me was A,

Step-by-step explanation:

the range is the difference between the lowest value and highest value

 so you would subtract the lowest number from the highest number

Answer:  The correct option is (D) 147 sq. units.

Step-by-step explanation:  We Re given to find the area of the polygon shown in the figure.

Let us divide the given polygon in two rectangles A and B as shown in the attached figure below.

The dimensions of rectangle A are

length, l = 10 units  and  breadth, b = 3 units.

So, the area of rectangle A is given by

[tex]AREA_A=l\times b=10\times3=30~\textup{sq. units}.[/tex]

And, the dimensions of rectangle B are

length, l' = 13 units  and  breadth, b' = 12 - 3 = 9 units.

So, the area of rectangle B is given by

[tex]AREA_B=l'\times b'=13\times9=117~\textup{sq. units}.[/tex]

Therefore, the area of the polygon is

[tex]AREA=AREA_A+AREA_B=30+117=147~\textup{sq. units}.[/tex]

Thus, the required area of th given polygon is 147 sq. units.

Option (D) is CORRECT.

Answer:

$414.00

Step-by-step explanation:

At green deli employees earn double time for their over time.

Klein's regular hourly rate = $9.00

So, her overtime rate = $9 × 2 = $18.00

Ester Klein worked 43 hours this week.

40 hours regular work + 3 hours overtime

Her total pay this week = (40 × 9) + (3 × 18)

                                       = 360 + 54

                                       = $414.00

Her total pay this week is  $414.00

Final answer:

To determine a fair price for a lottery ticket, calculate the expected value by adding the product of the probabilities and outcomes of all prizes. In the given raffle scenario, the fair price would be $0.35, which is the expected value of a ticket.

Explanation:

The question pertains to the concept of expected value in probability, which is often used to determine a fair price for lottery tickets. Expected value is calculated by multiplying the probability of each outcome by the payout of that outcome and then summing these products. In a raffle with 250 prizes of $5, 50 prizes of $25, and 10 prizes of $100, with 10,000 tickets sold, we can calculate the expected value as follows:

Expected value from $5 prizes = (250 prizes * $5) / 10,000 tickets = $0.125

Expected value from $25 prizes = (50 prizes * $25) / 10,000 tickets = $0.125

Expected value from $100 prizes = (10 prizes * $100) / 10,000 tickets = $0.100

Adding these up, the expected value of a ticket is $0.125 + $0.125 + $0.100 = $0.35. Therefore, a fair price for a ticket would be $0.35 to break even.