Triangle X Y Z is shown. The length of X Z is 12, the length of Y Z is 11, and the length of Y X is 6.
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree.

1. 122 = 112 + 62 − 2(11)(6)cos(Y)

2. 144 = 121 + 36 − (132)cos(Y)

3. 144 = 157 − (132)cos(Y)

4. −13 = −(132)cos(Y)

Answer:

[tex]f(x) = 9x^2+9x - 18/3x + 6\\= 9(x^2 + x - 2)/3(x+2)\\= 3(x^2+x-2)/x+2\\= 3(x+2)(x-1)/x+2\\= 3x - 3[/tex]

so y = 3x - 3

since 3x + 6 is on the bottom,

[tex]3x + 6\neq 0\\3x\neq -6\\x\neq -2[/tex]

so this means it should be the graph of y = 3x - 3, but with a hole at (-2, -9)

Answer:

1/(7^5)=1/16807

Step-by-step explanation:

Assuming 7-key mean zero up to 7,

# of possible codes = 17^5 = 16807

=====

Probability of first try correct = 1/7^5

Answer:

a. When the time is greater than 0, but less than 345 minutes, the temperature of the turkey is increasing at roughly a linear rate.

b. When the time ranges from 345 to 360 minutes, the temperature of the turkey stays constant, at 165 degrees.

c. When the time is greater than 360 minutes, the temperature of the turkey decreases.

Answer:

12.5%

Step-by-step explanation:

To find what percent of 120 15 is, we must find what 15/120 is.

15/120 = 0.125. To convert to a percent, we move the decimal two places to the right. So, the answer is 12.5%.

Brainliest, please :)

Answer:

12.5%

Step-by-step explanation:

The value of cosθ = 3/√34, cscθ = -√34/5, and tanθ = -5/3 if the (−5, 3) be a point on the terminal side of θ.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have (−5, 3) be a point on the terminal side of θ.

Perpendicular = -5

Base = 3

From Pythagoras' theorem:

Hypotenuse² =  (3)² + (-5)²

Hypotenuse = √34

cosθ = 3/√34

cscθ = -√34/5

tanθ = -5/3

Thus, the value of cosθ = 3/√34, cscθ = -√34/5, and tanθ = -5/3 if the (−5, 3) be a point on the terminal side of θ.

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Answer:

4/25

Step-by-step explanation:

4/5 ÷ 5 = 4/5 × 1/5 = 4/25

Answer:

14.30

Step-by-step explanation:

6.50/5=1.3

so one ice cream is 1.30 pounds

1.30X11=14.3

so 11 ice creams is 14.30 pounds

The difference in the given functions is 2x^3 + 6x^2 -8x + 1

Given the following function a shown

f(x)= 2x^3 + 6x^2 -5x - 3

g(x)= 3x-4

Take the difference

(f-g)(x) = f(x) - g(x)

Substitute

(f-g)(x)  = 2x^3 + 6x^2 -5x - 3 - (3x - 4)

Expand

(f-g)(x)  = 2x^3 + 6x^2 -5x - 3 - 3x + 4

(f-g)(x) = 2x^3 + 6x^2 -8x + 1

Hence the difference in the given functions is 2x^3 + 6x^2 -8x + 1

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Answer:

the answer is -7+-25=-32

Answer:

right angle

acute

acute

obtuse

obtuse

Step-by-step explanation:

Since angle <ABC is a straight line, the angle is 180 degrees. This means all the angles in between should also add up to 180 degrees. Using this knowledge you can solve for the value of angle <FBE which is going to be equal to 180 - (40 + 25 + 50) = 65.

< DBF = <DBE + <EBF

< DBF = 25 + 65 = 90 (right angle)

<EBD = 25 (given) (acute)

<DBC = 50 (given) (acute)

<ABE = <ABF + <FBE

<ABE = 40 + 65

<ABE = 105 (obtuse)

<CBF = <CBD + <DBE + <EBF

<CBF = 50 + 25 + 65

<CBF = 140 (obtuse)

Answer:

y = -t

Step-by-step explanation:

Parametric Equation = Type of equation that employs an independent variable called a parameter (often denoted by t) and in which dependent variables are defined as continuous functions of the parameter and are not dependent on another existing variable.

⇒ parametric equation of line passing through a point (a₁, b₁, c₁)

   and parallel to a vector <a, b, c> is given by :

   x =a₁ + at ,   y = b₁ + bt   ,   z = c₁ + ct

now according to question:

given -

point, P(1, 0, -3)

line,   x = −1 + 2t , y = 2−t, and z = 3+3t.

so from the line the vector is=  <2, -1, 3>

now using above formula,

equation of line is =   x = 1 + 2t , y = −t, and z = -3+3t.

we have to solve for 'y' only,

⇒ y = -t    (answer)

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The correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C.

As the value of MOE is 0.13 degrees

It is a serious problem because the margin of error is quite narrow in comparison to the shift from year to year.

Thus, the correct option would be The margin of error is quite small compared to the change year over year, so it is a significant issue option third is correct.

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Answer: y = 4x + 5/4

Step-by-step explanation: Plug in the slope and y-intercept into the equation y = mx + b, where m is the slope and b is the y-intercept, and such that m, b ≠ 0.

Answer: Point G.

Step-by-step explanation:

Count the number of spaces between points A and B. Then divide that number by 2 and count that many spaces from one point.

14/2=7

I hope this helps!! Pls mark brainliest :)

Answer:

put 1/2as a value of x in the equation and then solve .then the answer will be -1

Answer:

[tex]C.\ f\left( \frac{1}{2} \right) =-1[/tex]

Step-by-step explanation:

[tex]f\left( x\right) =\frac{\sqrt{2x+3} }{6x-5}[/tex]

In order to calculate f(1/2) ,all we have to do

is replacing x by 1/2 in the expression of f.

Then

[tex]f\left( \frac{1}{2} \right) =\frac{\sqrt{2\left( \frac{1}{2} \right) +3} }{6\left( \frac{1}{2} \right) -5 }[/tex]

        [tex]=\frac{\sqrt{1+3} }{3-5}[/tex]

        [tex]=\frac{\sqrt{4} }{-2}[/tex]

        [tex]=\frac{2}{-2}[/tex]

        [tex]=-1[/tex]

[tex]|\Omega|=10\cdot9=90\\|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx6.7\%[/tex]

Step-by-step explanation:

sin(x/2) = sqrt((1 - cos(x))/2)

cos(x/2) = sqrt((1 + cos(x))/2)

tan(x/2) = sin(x/2)/cos(x/2)

sin(x) = 15/17

so, we can assume the Hypotenuse of the right-angled triangle is 17, the vertical leg is 15.

via Pythagoras we get the 3rd, horizontal side :

17² = 15² + side²

289 = 225 + side²

64 = side²

side = 8

cos(x) = 8/17

sin(x/2) = sqrt((1 - 8/17)/2) = sqrt(9/34) = 3/sqrt(34) =

= 0.514495755...

cos(x/2) = sqrt((1 + 8/17)/2) = sqrt(25/34) = 5/sqrt(34) =

= 0.857492926...

tan(x/2) = 3/sqrt(34) / 5/sqrt(34) = 3/sqrt(34) × sqrt(34)/5 =

= 3/5 = 0.6

The final answer of the Inventory is $3540.

The term inventory refers to the raw materials used in production as well as the goods produced that are available for sale.

FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold

Ending inventory comprises of goods bought in May, September and November

cost of the ending inventory :

(4 x $130) + (12 x $135) + (10 x$140) = $3540

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Answer:

$800

Step-by-step explanation:

per hour $40×10hours=$400

$400÷$50=8 times initial fee

8×$50=$400 total initial fee

$400hours fee+$400 initial fee=$800 total payment

Answer:

y = 4x - 5

Step-by-step explanation:

y = mx + b

By putting above values in equation (i)

-1 = 4 (1) + b

-1 = 4 + b

-5 = b

b = -5

y = 4x - 5

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

The probability = 1/2.

The probability of an event defines the chance of the occurrence of that event. It is given by the ratio of the total number of outcomes favorable to the event to the total number of outcomes in the experiment.

If we suppose an event to be A, the total number of possible outcomes favorable to A be n, and the total number of outcomes in the experiment be S, then the probability of event A can be given as:

P(A) = n/S.

In the question, we are asked to find the formula that defines the probability that a point on the grid will be in the blue area, where the grid contains 20 squares, 10 of them being shaded blue.

We take the event that the chosen point is in the blue area as A.

The total number of outcomes favorable to this event A can be given by n, which will be equal to the number of blue squares = 10

The total number of outcomes in the experiment can be given by S, which will be equal to the number of squares = 20.

Now, the formula for the probability of event A can be written as

P(A) = n/S = 10/20 = 1/2.

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

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Note that the sign of f on the interval -5/9 < x < 2/3 is negative. (Option B)

To determine the sign of f(x) on the interval -5/9 < x < 2/3, we need to evaluate f(x) at a test point within this interval and determine if it is positive or negative.

Since we know that f(x) has zeros at x = -4, x = -5/9, and x = 2/3, we can use these points as our reference to choose test points.

Specifically, since the zeros at x = -5/9 and x = 2/3 are not included in the interval -5/9 < x < 2/3, we can choose any test point within this interval, such as x = 0.

Evaluating f(x) at x = 0, we get:

f(0) = (3(0) - 2)(0 + 4)(9(0) + 5)

= (-2)(4)(5)

= -40

Since f(0) is negative, we can conclude that f(x) is negative on the interval -5/9 < x < 2/3.

Therefore, the sign of f on the interval -5/9 < x < 2/3 is negative

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Full Question:

f(x) = (3x - 2) (x+4) (9x +5) has zeros at x = -4, x = -5/9, and x = 2/3, that is the sign of f on the interval -5/9 < x < 2/3?

The area of the rectangular garden given the length and width is 16 1/2 square feet

Area of a rectangular garden = length × width

= 5 1/2 feet × 3 feet

= 11/2 × 3

= 33/2

= 16 1/2 square feet

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Answer:

A. 24

Step-by-step explanation:

Least common multiple of 8 and 12 = 24

8× 1 = 8 12×1 = 12

8×2 = 16 12×2=24

8×3 = 24

L.C.M (8,12) = 24

The greatest multiple that occurs in both the multiples of 8 and 12, is 24.

Hence, the least common multiple here is 24.

first one b 315, second d

Step-by-step explanation:

18*=3*+315

7*+4*=a*

Answer:

ai) m = 17, applicable past x = 23/17; aii) m = 4; applicable past 3 dad jokes

Step-by-step explanation:

to calculate slope you use the (y2 - y1) / (x2 - x1) equation

so for the first one

(62 - 11) / (5 - 2)

51 / 3 = 17

the equation for this is y = 17x + b

plug in values to find b

11 = 34 + b

b is -23

y = 17x - 23

because distance cannot be negative we must find when x is exactly 0 to find where it is applicable

17x = 23

x = 23/17

for the second one we can subtract again

(10 - 2) / (5 - 3)

8 / 2

4 is the slope

like before we must find b and then find where y is 0

y = 4x + b

2 = 12 + b

b = -10

y = 4x - 10

4x = 10

x = 5/2

since you cannot have 1/2 a dad joke we round up from 2 1/2 to 3

Answer:

Step-by-step explanation:

Answer:

4 r^3

Step-by-step explanation:

sqrt ( 16 r^6 )    = sqrt ( 4^2 * (r^3)^2  )    =   4 r^3