HELP IM BEING TIMED!!

The given system is

We just have to sum the equations.

Then, we solve for x.

We use this value to find y

Answer:

(a) 120°

(b) 149°

Step-by-step explanation:

Supplementary angles add up to 180°

So to find the supplement of a given angle just subtract its measure from 180

(a) 180 - 60 = 120°

(b) 180- 31 = 149°

a) the supplementary angle of 60 degree is 120 degrees.

b) the complimentary angle of 31 degree is 59 degrees.

Supplementary angles are those angles whose sum comes out to be 180 degrees.  to find a supplement of an angle we need to subtract the given angle from 180 degree.

supplement of 60 degree (here given angle is 60 degree)

              = 180 - given angle = 180 - 60 = 120 degree

Complimentary angles are those angles whose sum comes out to be 90 degrees.  To find a compliment of an angle we need to subtract the given angle from 90 degree.

compliment of 31 degree (here given angle is 31 degree)

              = 90 - given angle = 90 - 31 = 59 degree

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

x=3.91

Step-by-step explanation:

29.46=13.82+4x

13.82+4x=29.46

subtract 13.82 from both sides

4x=15.64

divide by 4

x=3.91

The possible values of ∠F 131.9°

In ΔFGH, f = 7.5 inches, h = 7 inches and ∠H = 44°

Law of sines is a/sin A = b/sin B = c/sin C where a, b, c are sides of the triangle and A, B, C are angles of the triangle.

Using Law of sines and applying reciprocal we get sin A/a = sin B/b.

where a = f = 7.5 inches, b = h = 7 inches, ∠A=∠F and ∠B = ∠H.

∠H = 44°.

sin F/7.5 = sin44°/7

Therefore,

sin F = (7.5sin44°)/7

≈ 0.74427

F = sin-1(0.74427) ≈ 0.83944 = 48.1°

Quadrant II: 180° - 48.1° = 131.9°

To check for possibility

44° + 48.1° = 92.1°   [This is not possible because 99° is less than 180°]

44° + 131.9° = 175.9°  [This is possible because 175.9° is less than 180°]

Hence, the triangle FGH, the all possible values of ∠F is 131.9⁰.

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's' and 't' represent free parameters that can take on any real values.

In the given system of equations:

x1 - x2 + 4x3 = -4

6x1 - 5x2 + 7x3 = -5

3x1 - 39x3 = 45

To solve this system, we can use the method of Gaussian elimination or matrix operations. Let's use Gaussian elimination:

Step 1: Write the augmented matrix for the system:

[1 -1 4 | -4]

[6 -5 7 | -5]

[3 0 -39 | 45]

Step 2: Perform row operations to transform the matrix into row-echelon form:

R2 = R2 - 6R1

R3 = R3 - 3R1

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 3 -51 | 57]

Step 3: Perform additional row operations to further simplify the matrix:

R3 = R3 - 3R2

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 0 0 | 0]

Step 4: Write the system of equations corresponding to the row-echelon form:

x1 - x2 + 4x3 = -4

x2 - 17x3 = 19

0 = 0

Step 5: Express the variables in terms of a parameter:

x1 = s

x2 = 19 + 17s

x3 = t

where s and t are parameters.

Therefore, the solution to the system is:

[x1] = [s]

[x2] = [19 + 17s]

[x3] = [t]

In the provided solution format:

[x1] = [s] []

[x2] = [19 + 17s] + s []

[x3] = [t] [__]

Here, 's' and 't' represent free parameters that can take on any real values.

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Answer:

36 students

Step-by-step explanation:

because if 1/6 is 6 students then you have to multiply the 6 by 6

Answer:Idk

Step-by-step explanation:

1) The value of measure of x is, 7

2) The value of measure of angle 1 is,

∠ 1 = 42 degree

3) The value of measure of angle 2 is,

∠ 2 = 40 degree

We have,

A triangle AMH is shown in image.

Since, From figure we have,

By definition of angle bisector,

∠ 1 = ∠ 2

And, 2 ∠ 1 = ∠ AMH

Substitute all the given values, we get;

1) ∠ 1 = ∠ 2

5x - 2 = 4x + 5

Sole for x,

5x - 4x = 5 + 2

x = 7

2) 2 ∠ 1 = ∠ AMH

2 (7x + 7) = 16x + 4

14x + 14 = 16x + 4

14 - 4 = 16x - 14x

10 = 2x

x = 10/2

x = 5

Hence, Measure of angle 1,

∠ 1 = 7x + 7

∠ 1 = 7 (5) + 7

∠ 1 = 42 degree

3) ∠ 1 = ∠ 2

9x - 5 = 7x + 5

9x - 7x = 5 + 5

2x = 10

x = 5

Hence, Measure of angle 2 is,

∠ 2 = 7x + 5

∠ 2 = 7 (5) + 5

∠ 2 = 40°

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Step 1: Write out the formula for finding the area of a rhombus

Step 2: Substitute the given values to find AC

Therefore,

Answer:

a. 10560

b. 63360 in.

c. 10000 m

d. 100000 cm

e. 3.107 miles

f. 42.165 km

Step-by-step explanation:

a. 2 miles contain how many feet?

1 mile = 5280 ft

2 miles × 5280 ft / mile = 10560 ft

b. 1 mile contains how many inches?

1 ft = 12 in

1 mile × 5280 ft/mile × 12 in./ft = 63360 in.

c. 10 kilometers contain how many meters?

1 km = 1000 m

10 km × 1000 m/km = 10000 m

d. 1 kilometer contains how many centimeters?

1 km × 1000 m/km × 100 cm/m = 100000 cm

e. How many miles are in a "5k" (five-kilometer) race?

1 in. = 2.54 cm

5 km =

= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)

= 3.107 miles

f. A marathon is 26.2 miles. How many kilometers is this?

26.2 miles =

26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km

Answer:9 less than this" is written as 3x - 9

Step-by-step explanation:

Answer:

6x-9

Step-by-step explanation:

Answer:

The statement that could be false is;

(C) The function has a relative minimum at x = 6

Step-by-step explanation:

The given parameters are;

The function is continuous in the interval 0 ≤ x ≤ 9

The function is not differentiable at x = 6

f prime (x) = Negative for 4 < x < 6, and positive for 6 < x < 8

Therefore, at x = 6, the function is vertical

The statement that could be false is that the function has a relative minimum at x = 6.

A continuous function f(x) does not have discontinuity at any point

The statement that could be false is (c). The function f has a relative minimum at x = 6.

The interval is given as:

Interval = (0,9)

From the question, we understand that the function is not differentiable at x = 6.

This means that the function may or may not have a relative minimum at x = 6.

Hence, the statement that could be false is (c).

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Answer:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

Answer:

Datas are not given

................

Answer:

x - y = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + y = - 5 ( subtract x from both sides )

y = - x - 5 ← in slope- intercept form

with slope m = - 1

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-1}\) = 1 , thus

y = x + c ← is the partial equation

To find c substitute (7, 3) into the partial equation

3 = 7 + c ⇒ c = 3 - 7 = - 4

y = x - 4 ← equation in slope- intercept form

subtract y from both sides

0 = x - y - 4 ( add 4 to both sides )

4 = x - y , that is

x - y = 4 ← equation in standard form

The probability that at least one of them is a girl is 0.9781

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

P(Boy) = 0.529

Number of selection, n = 6

Using the above as a guide, we have the following:

P(At least 1 girl) = 1 - P(No girl)

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

P(At least 1 girl) = 1 - (0.529)^6

Evaluate

P(At least 1 girl) = 0.9781

Hence, the probability is 0.9781

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The maximum strut load is 70.87 kN. The maximum strut load can be calculated using the following equation: Maximum strut load = 2 * unit weight * gravity * depth * sin(friction angle) * cos(friction angle)

In this case, the unit weight is 20 kN/m3, the gravity is 9.81 m/s^2, the depth is 7.5 m, and the friction angle is 36°. Plugging these values into the equation, we get the following:

Maximum strut load = 2 * 20 * 9.81 * 7.5 * sin(36°) * cos(36°) = 70.87 kN

Therefore, the maximum strut load is 70.87 kN.

The maximum strut load occurs at the first row of struts, which is installed at a depth of 0.5 m below ground surface. The strut load decreases with depth, and the maximum strut load is reached at the first row of struts.

The strut load is caused by the weight of the soil above the struts. The soil above the struts exerts a lateral force, which is resisted by the struts. The maximum strut load occurs when the lateral force is at its maximum.

The maximum strut load is an important design consideration for braced cuts. The strut load must be able to be safely carried by the struts. If the strut load is too high, the struts may buckle or fail.

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Answer:

C

Step-by-step explanation:

It encompasses the perception that supervisors treat employees with fairness, respect, and dignity. The options provided are not fully accurate in describing interactional justice.

Among the given options, option c is the closest to describing interactional justice. It states that interactions between supervisors and employees are fair, which aligns with the concept of interactional justice. Interactional justice refers to the quality of interpersonal treatment employees receive from their supervisors, including how decisions are communicated, the level of respect shown, and whether supervisors take employees' feelings and concerns into account.

It emphasizes the fairness of interpersonal relationships and communication within the organization, aiming to ensure that employees are treated with dignity and respect during interactions with their supervisors.

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Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Answer: (a^2 - 4)/(x^2 - 9) + (a^2 - 2a + (2-y))/(xy + 3y) - (x-3)

Step-by-step explanation: First, you need to simplify the fraction in the first term:

(a^2 - 4)/(x^2 - 9)

Next, you simplify the fraction in the second term:

(a^2 - 2a + (2-y))/(xy + 3y)

Then you subtract (x-3) from the fractions obtained in step 1 and 2:

(a^2 - 4)/(x^2 - 9) + (a^2 - 2a + (2-y))/(xy + 3y) - (x-3)

This is the final result of the operation.

It is important to note that the answer is a simplified fraction and only valid if x does not equal 3. If x=3, the denominator x-3 would be equal to zero, which is not allowed in mathematics.

Answer:

.6 se

Step-by-step explanation:

Answer:

5.76

Step-by-step explanation:

a p e x

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Step-by-step explanation:

I am sure there is something missing or horribly mistyped.

if you really meant 23⁰, then that is 1.

the probability that a tomato grown in the special soil will be a winner is approximately 0.0228 or 2.28%.

To find the probability that a tomato grown in the special soil will be a winner, we need to determine the probability that its diameter is greater than 4 inches.

Let's denote the mean diameter as μ and the standard deviation as σ.

Given:

Mean diameter (μ) = 3.2 in.

Standard deviation (σ) = 0.4 in.

To calculate the probability, we need to standardize the value 4 inches using the standard normal distribution.

The standardized value (z-score) can be calculated using the formula:

z = (x - μ) / σ

Substituting the values into the formula:

z = (4 - 3.2) / 0.4

z = 0.8 / 0.4

z = 2

Now, we need to find the probability of a z-score greater than 2. This can be determined using a standard normal distribution table or a calculator.

Looking up the z-score of 2 in a standard normal distribution table, we find that the probability associated with it is approximately 0.9772.

However, since we are interested in the probability of the tomato's diameter being greater than 4 inches, which corresponds to the right tail of the distribution, we subtract this probability from 1 to obtain the desired probability:

P(diameter > 4) = 1 - 0.9772 ≈ 0.0228

Therefore, the probability that a tomato grown in the special soil will be a winner is approximately 0.0228 or 2.28%.

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The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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Answer:

The first one

The second one

The third one

The fifth one

Step-by-step explanation:

Both are vertical angles (opposite)

So, they are congruent ( equal)

6a +11 = 2a+83

Solve for a:

6a -2a = 83-11

4a= 72

a= 72/4

a= 18

Value of the angles:

6a+11 = 6(18)+11 = 108+11 = 119°

2a+83 = 2(18)+83 =

Answer:

7 books

Step-by-step explanation:

Since Leah spent $63 on books which cost 9$ each you would need to divide the 2.

63 / 9 would equal 7

After spending $63 and each book costs $9 Leah will be able to buy 7 books .

Given, that each book cost $9 .

Now when the total amount spend on books is $63 with each book costing $9 the total books bought can be given by the division equation.

Division fact:

The rules for multiplication and division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Since Leah spent $63 on books which cost 9$,

= \(\frac{63}{9}\)

= 7 books

Hence Leah can buy 7 books in total.

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Answer:

1/4

Step-by-step explanation:

It takes the line 4 horizontal unitz to get to the next vertical unit.

Answer:

C 1/4

Step-by-step explanation: