Rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units

ANSWER

LA

EXPLANATION

We are given two triangles ABC and DEF.

We are given that We are given that

We are alos given that BC = EF.

From the conditions given, we have that one set of corresponding angles are equal.

We are also given that one set of leg lengths are equal.

We can therefore conculde that the condition of congruence for these two triangles is Leg - Angle.

That is LA.

Part A:

Best graphical representation to display data will be line graph.

Given,

Scores of basketball team during the first 13 games of the season

{85, 94, 101, 118, 107, 110, 114, 96, 117, 105, 121, 88, 125}.

Now.

Part B:

We can create line graph with a very simple technique.

Firstly,

On x - axis take the number of season the team has played. In our case the number is 13 so take 13 distinct points on the x - axis.

Secondly,

On y -axis take the scores of the team in each of the 13 seasons corresponding to their values at x - axis.

Then,

Plot the points on the graph for all 13 seasons .

Last step,

Join all the points in the graph with the help of ruler. This will form the required line graph of the question.

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In the collection, there are 11 nickels and 23 dimes. If each nickel is replaced with a quarter, the value of the collection becomes $5.05. So, C is correct. By writing them in the system of equations, we get the required value.

The given units are nickels, dimes, and quarters. Their conversion into dollars is as follows:

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Given a collection of nickels and dimes is worth $2.85.

And there are 34 coins in the collection.

So, consider the number of nickel coins = n and the number of dime coins = d.

Then, the equation for the given collection is

n + d = 34...(1)

0.05n + 0.10d = 2.85...(2)

On simplifying (2), we get

5n + 10d = 2.85 × 100

⇒ 5n + 10d = 285

From (1), n = 34 - d, we get

5(34 - d) + 10d = 285

⇒ 170 - 5d + 10d = 285

⇒ 5d = 285 - 170 = 115

∴ d = 115/5 = 23

Thus, the number of dime coins is 23.

So, from (1), we get n + 23 = 34 ⇒ n = 34 - 23 = 11

∴ n = 11

Thus, the number of nickel coins is 11.

If each nickel coin in the collection is replaced with a quarter, then the value of the collection is

q + d = 34 and 0.25q + 0.10d = Y

Here q = 11; d = 23

So, we get

0.25(11) + 0.10(23) = Y

⇒ 2.75 + 2.3 = Y

⇒ 5.05 = Y

∴ Y = $5.05

The value of the new collection becomes $5.05.

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There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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Answer:

It's basically an equation with multiple numbers (called "polynomial") and a single variable (usually "x").

Usually, there are three numbers in the equation, and it looks like this:

ax²+bx+c=0.

"a", "b", and "c" are numbers.

You are trying to solve for the variable, "x".

So it reads like this:

"First number times x squared, plus (or minus) a second number times x, plus (or minus) a third number."

Example:

6x² + 11x – 35 = 0

Definitions: A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

THANKX✨ : D

Answer:

40x-24

3b(6c-3a+c)

Step-by-step explanation:

For the first one use distributive property and multiply each term by 8.

For the second one find a common factor which is 3b and divide all terms by that number.

Answer:

1). \(40x-24\)

2). D.

Step-by-step explanation:

Answer:

i cant reall read the screen sorry

Step-by-step explanation:

Answer:

Your answer is going to be letter D because:

.00004 x 2,000,000,000 = 80,000

D

can i get brainly?

The total number possible house numbers  is  2 × 28  =  56

From the question, we have the following information available is:

Dr. Math's four-digit house number ABCD contains no zeroes and can be split into two different two-digit primes AB and CD where the digits A, B, C and D are not necessarily distinct.

And, each of the two digit primes number is less than 40

We have to find the number of possible houses.

Now, According to the question:

We have to take out the primes number in between 1 to 40.

So, The prime numbers in between 1 to 40 are:

The two digit primes < 40 are

11, 13, 17, 19, 23, 29, 31, 37

Any two of these eight can be selected  =  C(8,2)  = 28

And each of these can be arranged in two ways

Hence, the total number possible house  numbers  is  2 × 28  =  56

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Answer:

7.62

Step-by-step explanation:

We can draw another point at (-3, -4) named C to get a right-angled triangle.

AC = 2 (by counting)

BC = 7 (by counting)

Using Pythagoras Theorem,

\(AC^{2} +BC^{2} =AB^{2}\)

\(2^2+7^2=AB^2\)

\(4+49=AB^2\)

\(AB^2=58\)

\(AB=\sqrt{58} = 7.62\) (nearest hundredth)

The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Answer:

The answer is B

Answer: B because 48 divided by 6 is 8

Given:

In triangle \(ABC, AB=9,BC=4,AC=7\).

To find:

The measure of angle C.

Solution:

We have, \(AB=9,BC=4,AC=7\). It means \(c=9,a=4,b=7\).

According to the law of cosines:

\(cos C=\dfrac{a^2+b^2-c^2}{2ab}\)

\(cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}\)

\(cos C=\dfrac{16+49-81}{56}\)

\(cos C=\dfrac{-16}{56}\)

Taking cos inverse on both sides, we get

\(C=cos^{-1} \dfrac{-16}{56}\)

\(C=106.60155\)

\(C\approx 106.6\)

Therefore, the correct option is C.

495

Step-by-step explanation:

(5 levels x 75 spaces each) + 120 spaces from lot

(5x75) + 120

495

The trigonometric ratio for cos 0 is:

adjacent leg / hypotenuse

Why it is?

The definition of cosine of an angle in a right triangle is the ratio of the adjacent leg to the hypotenuse.

In the case of cos 0, the angle is 0 degrees, which means the adjacent leg of the right triangle is the same as the hypotenuse, since the adjacent side is opposite to an angle of 90 degrees and the hypotenuse is the longest side of the right triangle. Therefore, the ratio of the adjacent leg to the hypotenuse is 1/1 or simply 1.

So, the trigonometric ratio for cos 0 is:

adjacent leg / hypotenuse = 1/1 = 1

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According to the question ,The probability that among 8 randomly selected graduates, at least one does not find a job in their chosen field within a year of graduating is 0.570

We are Given in the question that:

P = 0.1

q = 1-p

= 0.9

n = 8

Using binomial distribution P(n) = ⁿCₓ.pˣ.qⁿ⁻ˣ

We are Required to prove that  F(x ≥ 1) = P(1) + ... + P(8)

= 8C₁(.1)¹(.9)²+...+8C₈(.1)⁸(.9)°

= 0.5695 ≈ 0.570

Hence the probability is 0.570

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Answer:

12, 18

Step-by-step explanation:

We can say that AC=1.5BC. Thus, since AC and CB add to 30, AC = 12 and BC= 18.

Answer:

\(3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = \)

Step-by-step explanation:

\(3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0\)

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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The antiderivative of the function is \([sec\theta]-3[e^{\theta}]+c\\\) and the constant acceleration is required to increase the speed of a car from 30 mi/h to 57 mi/h in 3 seconds is 13.20 ft/s².

Functions' antiderivative is often referred to as their integral. The original function is derived by differentiating the antiderivative of a function. The term "anti" derivatives refers to the process of integration, which is the opposite of differentiation.

Indefinite integrals are the standard name for antiderivatives. Nevertheless, antiderivatives can also be connected to definite integrals by applying the Basic Theorem of Calculus.

1) r(θ) = secθtanθ - 3\(e^{\theta}\)

Anti derivative,

\(\int {r(\theta)} \, d\theta=\int {sec\theta tan\theta \ d\theta } - 3\inte^{\theta}\)

\(= [sec\theta]-3[e^{\theta}]+c\\\)

2) 1hr = 3600 sec

1 minute  = 5280 feet

The required formula to calculate acceleration

\(a=\frac{v_2-v_1}{t}\)

v1 = 30mi/h = 44 ft/sec

v2 = 57 mi/h = 83.6 ft/sec

time t = 3 sec

\(a=\frac{v_2-v_1}{t}\)

= \(\frac{83.6-44}{3}\)

= 39.6/3

= 13.20 ft/s².

Therefore, acceleration is required to increase the speed is 13.20 ft/s².

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Given:

Number of students = 312

Number to be chosen = 4

To find the number of ways this can happen, let's use combination meyhod.

Thus, we have:

Solving further, we have:

Therefore there are 387,278,970 ways this can happen

ANSWER:

387,278,970 ways

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

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3

is the simplify expression

Step-by-step explanation:

The best bound on the remainder (error) for this approximation is c. 2/33

The given series converges, and we want to estimate the error when using the 3rd partial sum. Since the series is alternating (cosine of kπ is 1 for even k and -1 for odd k), we can use the Alternating Series Remainder Theorem. According to this theorem, the error is bounded by the absolute value of the next term after the last term used in the partial sum.

In this case, we use the 3rd partial sum, so the error is bounded by the absolute value of the 4th term:

|a₄| = |(4 * cos(4π)) / (4³ + 2)| = |(4 * 1) / (64 + 2)| = 4 / 66 = 2 / 33

Thus, the best bound on the remainder (error) for this approximation is c. 2/33

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The figure with explanation is given below .

When two rays meet each other is at a common point is called angle.

Given:

- A Fence with parallel sides AB and EF  there is a point K on line AB point L on line EF

 Angle AKL

We need to prove , m\(\angle AKL = 116^0\)

Proof:

\(m\angle AKL +m\angle KLE = 116^0\)

1. To create triangle AKL to draw a line KL.

2. Since AB is parallel to EF, we know that m∠AKL and m∠KLE are corresponding angles and are congruent.

3. Let x be the measure of angle KLE.

4. Since triangle AKL is a triangle, we know that the sum of its angles is \(180 ^0\) Therefore, m∠AKL + x + 64° = 180° (since m∠EKL = 64°, as it is a corresponding angle to m∠AKL).

5. Simplifying the equation in step 4, we get m\(\angle AKL +116^0\)

6. Since m\angle\(\angle KLE\) and m\(\angle AKL\) are congruent (as shown in step 2), we can substitute m∠KLE with x in the equation from step 5 to get m∠AKL + m∠KLE = 116°.

7. Combining like terms in the equation from step 6, we get m∠AKL = 116°.

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Answer:

lateral area = 180π in²

Step-by-step explanation:

The lateral area is the surface of the cone only.

perimeter of base = 12 x 2 = 24π in

Surface Area = 1/2 perimeter x slant height

SA = 1/2 x 24π x 15 = 180π in²

Answer:

The discount percentage is 11.1%

Step-by-step explanation:

Here, we want to find the percentage of discount

We simply place the discount amount over the sales price multiplied by 100

we have this as;

50/450 * 100%

= 1/9 * 100%

= 100%/9

= 11.1%

Answer:

Reagan collected 16 5/8 pounds of newspaper

Step-by-step explanation:

Kenji = 1 3/4 lbs

Reagan = 9 1/2 times 1 3/4 lbs

To solve, find a common denominator:

Now turn them into improper fractions:

Multiply them together:

Just multiply

\(\\ \tt\hookrightarrow 9\dfrac{1}{2}\times 1\dfrac{3}{4}\)

\(\\ \tt\hookrightarrow \dfrac{19}{2}times \dfrac{7}{4}\)

\(\\ \tt\hookrightarrow \dfrac{19(7)}{2(4)}\)

\(\\ \tt\hookrightarrow 133/8\)

Answer:

A)  r - 10

B)  p(r) = 1.05(r - 10)

C)   $20.48 (nearest cent)

Step-by-step explanation:

If r is the regular price of a CD player, then an expression for the regular price minus the $10 discount is:

If a state tax of 5% is applied to a sale, then the cost of the item will be 105% of its regular price.  105% expressed as a decimal is 1.05.  

Therefore, we need to multiply the expression from part A by 1.05 to find the final price of the CD player:

To calculate how much would you pay during Sale Days for a CD Player regularly priced at $29.50, substitute r = 29.5 into the function from part B:

⇒ p(r) = 1.05(29.50 - 10)

⇒ p(r) = 1.05(19.50)

⇒ p(r) = 20.475

Therefore, you would pay $20.48 (rounded to the nearest cent) for a CD Player during Sale Days.