The perimeter of parallelogram ABCD is 78 cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.

The arc length is calculated using the formula:

where θ is the arc angle and r is the radius of the circle.

From the question, we have the following parameters:

Therefore, the arc length of AE will be:

The length of arc AE is 11.34 inches.

Answer:

9,0

Why?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

1.-(-2/15)=2/15

2.-(-13/17)=13/17

Step-by-step explanation:

Answer:

1/4, 7/12, 5/8, 2/3

Step-by-step explanation:

2/3 = 16/24   (Multiplied by 8)

7/12 = 14/24  (Multiplied by 2)

5/8 = 15/24   (Multiplied by 3)

1/4 = 6/24      (Multiplied by 6)

Click It or Ticket is a nationwide campaign to enforce seat belt laws and increase seat belt use, supported by major organizations.

Click It or Ticket is a nationwide mobilization campaign to enforce seat belt laws and increase seat belt use. It is a joint effort of state and local law enforcement, highway safety offices, and the National Highway Traffic Safety Administration and is supported by national and state-level organizations, including:

Learn more about Seat Belt: https://brainly.com/question/11885927

#SPJ4

3rd Quartile of the data is 64 people.

The given set of data is  1 1 1 7 10 13 14 16 18 19 19 22 25 28 31 40 45 46 50 55 56 57 58 59 61 61 64 64 76 91 95 98 98 99 99 100 .

The data represents the number of people visited an art gallery during its first 36 hours of opening.

Since we have to find the 3rd quartile we divide 36 hours  into 4 equal parts, each of 9 hours.

The 1st quartile will be 36/4 = 9 hours.

Second quartile will be 9 x 2 = 18 hours.

Third quartile will be 9 x 4 = 27 hours.

Thus to find the 3rd quartile of the data set, we need to find the number of people visited the art gallery in 27 hours.

We can see that the number of people visited in the first 27 hours is 64 people.

Therefore, 3rd Quartile = 64 people.

Learn more about quartiles at https://brainly.com/question/10005803

#SPJ4

Answer: in fraction from its 2/7. In decimal form its 0.285714286

Step-by-step explanation: slope= 10-8/9-2

Step-by-step explanation:

22+8

I think this ans may help you

The two lengths that separate the top 10% and the bottom 10% are  3.25 cm and 3.04 cm.

This is used to measure how different an individual data point is from the mean of the data set and is a helpful tool when comparing data points to each other.

To find the two lengths, we start by finding the z-scores that correspond to the top 10% and the bottom 10%. The z-score for the top 10% is 1.28 and the z-score for the bottom 10% is -1.28. We then use these z-scores to find the two lengths.

To find the two lengths, we use the following formula:

length = mean + (z-score * standard deviation)

For the top 10%:

length = 3.15 + (1.28 * 0.08)

length = 3.25 cm

For the bottom 10%:

length = 3.15 + (-1.28 * 0.08)

length = 3.04 cm

Therefore, the two lengths that separate the top 10% and the bottom 10% are 3.25 cm and 3.04 cm.

These lengths could serve as limits used to identify which nails should be rejected.

For more questions related to z-scores

https://brainly.com/question/28096232

#SPJ1

Answer:

The answer is True, mitosis divides nuclei that produces another identical nuclei.

Answer:

We know that Keilantra has $660 to spend, she has already spent $488.20 on a bicycle, $11.17 on two reflectors and $19.05 on a pair of gloves.

We can represent the amount spent on reflectors as 2 * $11.17 = $22.34

So the total amount spent so far is:

$488.20 + $22.34 + $19.05 = $529.59

We can represent the remaining amount of money she has to spend on outfits as:

$660 - $529.59 = $130.41

We can use this remaining amount to find out the number of outfits she can purchase by dividing the remaining amount by the cost of each outfit:

$130.41 / $37.26 = 3.5

The inequality that represents this situation is:

x <= 3.5

Where x is the number of outfits Keilantra can purchase while staying within her budget.

This inequality tells us that Keilantra can purchase at most 3.5 biking outfits while staying within her budget.

However, since the number of outfits has to be a whole number, the greatest number of outfits that Keilantra can buy is 3.

The polynomial x^2 - 3x - 18 can be factored as (x + 6)(x - 3). This can be determined by using the quadratic formula, setting it equal to zero and solving for x. The two solutions are then used to divide the original equation into factors of x plus or minus those values. In this case, the factors would be x + 6 and x - 3.

That is the second answer choice in your screen.

Brainliest?

Answer:

c

Step-by-step explanation:

Answer:

x² - 4 = 0

Step-by-step explanation:

choices: x² - 4 = 0, x² = -4, 3x² + 12 = 0, 4x² = 16, 2(x-2)² = 0

to find x= -2, 2

x² - 4 = 0

(x + 2) (x - 2) = 0

x = -2, 2

If you have access to a linear programming solver or software like Excel Solver or MATLAB's Optimization Toolbox, you can enter the dual problem and use the solver to obtain the optimal solution.

To solve the dual of the given problem using the dual simplex algorithm, we first need to rewrite the primal problem in standard form. The primal problem is as follows:

Maximize: z = 11x + x + 6w

Subject to:

6x + 15x - 3w ≥ 60

3x + 2x + w ≤ 21

2x + 3x - w = 34

x ≥ 0, y ≥ 0, w ≥ 0

The dual problem will have the following form:

Minimize: w = 60y + 21z + 34u

Subject to:

6y + 3u + 2v ≥ 11

15y + 2u + 3v + u + v ≥ 1

-3y + v = 6

y ≥ 0, u ≥ 0, v unrestricted

Now, we can apply the dual simplex algorithm to solve the dual problem. The steps involved in the dual simplex algorithm include:

Start with an initial feasible solution.

Check for optimality.

If not optimal, select a pivot column and pivot row.

Perform row operations to make the pivot element 1 and all other elements in the pivot column 0.

Repeat steps 2-4 until the optimal solution is reached.

The detailed calculations and iterations involved in the dual simplex algorithm can be quite lengthy and involve complex matrix operations. It would be best to use a specialized software or linear programming solver to perform these calculations accurately and efficiently.

If you have access to a linear programming solver or software like Excel Solver or MATLAB's Optimization Toolbox, you can enter the dual problem and use the solver to obtain the optimal solution.

Learn more about  linear programming from

https://brainly.com/question/14309521

#SPJ11

A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

To know more about martingale visit:
brainly.com/question/32735198

#SPJ11

Answer:

Not proportional

Step-by-step explanation:

1/5 = 0.2

2/8 = 0.25

6/18 = 0.33

etc...

E⁣⁣⁣⁣xplanation i⁣⁣⁣⁣s i⁣⁣⁣⁣n a f⁣⁣⁣⁣ile

bit.\(^{}\)ly/3a8Nt8n

To prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

As given in the question,

In the triangle ACB and ECD,

Given : AC ≅ EC

            ∠ACB ≅∠ECD

To prove triangles to be congruent using SAA.

Two angles need to be congruent.

∠B ≅ ∠D

∠A ≅ ∠E

Therefore, to prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

Learn more about triangles here

brainly.com/question/2773823

#SPJ1

After calculations, it is determined that the required spacing of the closed stirrups is approximately 6 inches.

To determine the required spacing of closed stirrups for the given beam, we need to consider the factored shear and factored torsional moment. The formula for calculating the spacing of closed stirrups is given by:

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

where:

s = spacing of stirrups

f'c = specified compressive strength of concrete

fy = specified yield strength of steel reinforcement

Av = area of one closed stirrup

b = width of the beam

d = effective depth of the beam

Given information:

Width (b) = 15 in.

Effective depth (d) = 26.5 in.

Factored shear = 80 kips

Factored torsional moment = 50 ft-kips

Stirrup centroid from concrete face = 1.75 in.

No. 4 (no. 13) closed stirrup size = 0.2 square inches

First, we need to calculate the area of one closed stirrup:

Av = (No. of stirrups) * (Area of one stirrup)

Av = (2) * (0.2 square inches)

Av = 0.4 square inches

Next, we can substitute the values into the formula to calculate the spacing (s):

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

Assuming f'c = 4 ksi (common value for concrete strength) and fy = 60 ksi (common value for steel reinforcement strength), we can calculate:

s = (0.75√(4) / 60) * (0.4 / (15 * 26.5 - 2s))

Simplifying the equation, we get:

s = 0.0986 / (397.5 - 30s)

To solve for s, we can use an iterative approach or trial and error method. By substituting different values of s into the equation, we can find the spacing that satisfies the equation.

Know more about closed stirrups here:

https://brainly.com/question/541723

#SPJ11

Step-by-step explanation:

Therefore, the distance between E ( 3 , 7 ) E(3,7) E(3,7) and F ( 6 , 5 ) F(6,5) F(6,5) is approximately 3.61 \textbf{3.61} 3.61 units.

Sam travels on the highway for approximately 1.4 hours.

We know that Sam's total travel time is 1.5 hours plus the time he spends on the highway, which we'll call "x" hours. So his total travel time can be represented as:

Total travel time = 1.5 + x

We also know that the total distance he travels is 140 miles. We can use the formula:

distance = rate x time

to set up two equations, one for his travel on city roads and one for his travel on the highway. Let's start with the city roads:

distance = rate x time

distance = 35 mph x 1.5 hours

distance = 52.5 miles

So Sam travels 52.5 miles on city roads, which means he still has to travel:

140 miles - 52.5 miles = 87.5 miles

on the highway. Now we can set up an equation for his travel on the highway:

distance = rate x time

87.5 miles = 65 mph x x hours

Solving for x, we get:

x = 87.5 miles / (65 mph)

x ≈ 1.35 hours

Learn more about distance here

brainly.com/question/4931057

#SPJ4

I have solved the question in general, as the given question is incomplete:

The complete question is:

Sam is driving a distance of 140 miles from his house to visit Melissa. Sam takes city roads , on which can he travel an average of 35 mph for a total of 1.5 hours . Sam also takes the highway , on which he travels an average of 65 mph for a total of x hours . approximately how long does Sam travels on the highway , to the nearest tenth of an hour ?

Answer:

x = 2.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 26 = 1.2 /x

x tan 26 = 1.2

x = 1.2/ tan 26

x=2.46036

Rounding to the nearest tenth

x = 2.5

Answer:

200 miles traveled in 4 hrs

800 miles traveled in 8 hrs

Step-by-step explanation:

100/2 = 50. Therefore, the rate per one hour is 50 miles.

4 hrs × 50 miles= 200 miles traveled in 4 hrs

8hrs × 50 miles= 800 miles traveled in 8 hrs

Answer:

To determine the rates of change of functions f and g over the interval [-2, 2], we can compare the values of the functions at the endpoints of the interval.

For f(x), we have:

f(-2) = (-2)³ + 5(-2)² - (-2) = -6

f(2) = 2³ + 5(2)² - 2 = 34

So over the interval [-2, 2], f(x) increases by 40.

For g(x), we have:

g(x) = 48 for all x

So over the interval [-2, 2], g(x) does not change.

Therefore, we can conclude that over the interval [-2, 2], function f is increasing at a faster rate than function g is decreasing.

The correct answer is (C).

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

Answer:

the answer is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The correct answer is 4 sec

Step-by-step explanation:

The soccer ball returns to the ground after 4 seconds, got from solving the quadratic function y = -16t² + 64t.

A polynomial function is a relation where a dependent variable is equal to a polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.

The general form of a polynomial expression is:

a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.

The highest power to a variable is the degree of the polynomial expression.

When degree = 2, the function is a quadratic function.

When degree = 1, the function is a linear function.

We are given a quadratic function representing the height of the ball after a goalie kicks it. The function is y = −16t² + 64t, where y is the height in feet of the ball at time t seconds.

We are asked how long it takes for the soccer ball to return to the ground.

To calculate the time for the ball to return to the ground, we take height y = 0.

Our equation therefore is,

0 = -16t² + 64t

or, 16t² - 64t = 0

or, t² - 4t = 0

or, t(t-4) = 0

∴ Either, t = 0; Or, t-4  = 0 ⇒ t = 4.

∴ The height of the ball is 0 when time t is 0 and 4. Time 0 is before the goalie kicked the ball, so we take t = 4 seconds.

∴ The ball takes 4 seconds to return to the ground.

Learn more about Quadratic Functions at

https://brainly.com/question/1214333

#SPJ2