Can someone please help me?

Step-by-step explanation:

1.2

area of triangle = ½ × base × height

so,

height = 5cm

base = 4cm

now,

→ 1/2 × 4 × 5

→ 2 × 5 = 10 cm²

therefore, area of the ∆AED is 10cm².

1.3

area of rectangle = l × b

length = 8cm

breadth/width = 5cm

now,

area of BCDE

→ 8 × 5 = 40 cm²

now,

area of,

→ ABCD = BCDE - ∆AED

→ ABCD = 40 - 10 = 30

therefore, required area of ABCD is 30cm².

hope this answer helps you dear...take care and may u have a great day ahead!

The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.

When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.

Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.

Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.

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The length of p on the given triangle is 12ft

Based on the case, we know that the given triangle is a righted angle triangle with p as its hypotenuse. Its non-right angles are 60° and 30°. Its base is 6ft.

Actually, to solve this problem, we can use 2 types of solutions:

By using the law of sinus, we can directly find the lenght of p based on the value of sin 90°.

The second solution, we can use the law of sinus to find the height of the triangle then use the height and base of the triangle to find the hypotenuse p.

Since the first solution is more simple, we will choose the first solution.

To find the length of p, we will use the Law of Sinus, stated that:

   a   =    b   =    c      

sin A      sin B    sin C

Then:

6 / sin30° = p / sin90°

6 / (1/2) = p / 1

p = 12 feet

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Answer:

is there anything else??

Step-by-step explanation:

\(\stackrel{ x-intercept }{(\stackrel{x_1}{9}~,~\stackrel{y_1}{0})}\qquad \stackrel{ y-intercept }{(\stackrel{x_2}{0}~,~\stackrel{y_2}{-9})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-9}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{9}}} \implies \cfrac{ -9 }{ -9 } \implies \cfrac{1}{1}\implies 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ 1}(x-\stackrel{x_1}{9})\implies {\Large \begin{array}{llll} y=x-9 \end{array}}\)

A grouped frequency distribution table for the data is [5, 10), [10, 15), [15, 20), [20, 25), [25, 30), [30, 35), and [35, 40).

We are given that;

The weight (in kg) of 50 sacks of sugar

Now,

To find the frequency of each class, we can use a tally mark system or a calculator. For example, the frequency of the first class [5, 10) is 3, because there are 3 data values that are greater than or equal to 5 but less than 10: 8.70, 9.27, and 9.66. The frequency of the second class [10, 15) is 16, because there are 16 data values that are greater than or equal to 10 but less than 15: 10.37, 10.65, 10.67, 10.33, 10.05, 10.06, 10.98, 10.61, 10.62, 11.05, 11.24, 11.36, 11.69, 11.40, 12.82, and 12.86.

We can repeat this process for the remaining classes and fill in the table as follows:

Class Frequency

[5, 10) 3

[10, 15) 16

[15, 20) 7

[20, 25) 4

[25, 30) 9

[30,35) 6

[35,40) 5

Therefore, by the given frequency the answer will be [5, 10), [10, 15), [15, 20), [20, 25), [25, 30), [30, 35), and [35, 40).

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The truth values of the statement are

a) Q(Denver, Colorado) is true

b) Q(Detroit, Michigan) is false

c) Q(Massachusetts, Boston) is true

d) Q(New York, New York) is false

In this case, we are considering statements of the form "x is the capital of y," where x and y are specific places. These statements can have different truth values, depending on whether they are true or false. Let's explore the truth values of some specific examples.

a) Q(Denver, Colorado)

This statement asserts that Denver is the capital of Colorado. Is this true or false? Well, the capital of Colorado is actually Denver, so this statement is true. Therefore, the truth value of Q(Denver, Colorado) is true.

b) Q(Detroit, Michigan)

This statement asserts that Detroit is the capital of Michigan. Is this true or false? Actually, Lansing is the capital of Michigan, not Detroit. Therefore, this statement is false. The truth value of Q(Detroit, Michigan) is false.

c) Q(Massachusetts, Boston)

This statement asserts that Boston is the capital of Massachusetts. Is this true or false? Yes, Boston is indeed the capital of Massachusetts, so this statement is true. The truth value of Q(Massachusetts, Boston) is true.

d) Q(New York, New York)

This statement asserts that New York is the capital of New York. Is this true or false? Actually, Albany is the capital of New York, not New York City. Therefore, this statement is false. The truth value of Q(New York, New York) is false.

So, as we can see, the truth values of these statements depend on the specific relationships between x and y. When x is indeed the capital of y, the statement Q(x, y) is true, and when x is not the capital of y, the statement is false.

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Answer:

Step-by-step explanation:

343

Answer: Choice D

f(n) = 4*(3)^(n-1)

f(5) = 324

=======================================================

Explanation:

Look at the y coordinates: {4, 12, 36, 108}

This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term

4*3 = 12

12*3 = 36

36*3 = 108

The nth term of the geometric sequence is

f(n) = a*(r)^(n-1)

f(n) = 4*(3)^(n-1)

Now plug in n = 5

f(n) = 4*(3)^(n-1)

f(5) = 4*(3)^(5-1)

f(5) = 4*(3)^(4)

f(5) = 4*81

f(5) = 324

Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.

Answer:

b, the probability that a customer buys a taco, a drink, or both is 45%

P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

In terms of this problem, P(A or B) = 0.45 represents the probability that a customer buys either a taco (event A) or a drink (event B).

When we say "P(A or B)," it refers to the probability of either event A or event B occurring. In this case, it means the probability of a customer buying a taco or a drink from the food truck.

The value of 0.45 indicates the numerical probability associated with the event A or B. It represents the likelihood that a randomly selected customer from the food truck will purchase either a taco or a drink.

Therefore, P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

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The inverse function of f(x) is \(f^{-1}(x) = \sqrt{x - 6}\) and the domain is x > 6

The function is given as:

f(x) = x^2 + 6

Rewrite as:

y = x^2 + 6

Swap x and y

x = y^2 + 6

Subtract 6 from both sides

y^2 = x - 6

Take the square root

\(y = \sqrt{x - 6}\)

Rewrite as:

\(f^{-1}(x) = \sqrt{x - 6}\)

Hence, the inverse function of f(x) is \(f^{-1}(x) = \sqrt{x - 6}\) and the domain is x > 6

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Answer:

?=6

Step-by-step explanation:

To get ? by itself, we need to divide both sides by -4:

(?)(-4)=-24

(?)=6

Answer:

6

Step-by-step explanation:

Step 1:

( x ) ( - 4 ) = - 24       Equation

Step 2:

- 4x = - 24     Multiply

Step 3:

x = - 24 ÷ - 4     Divide

Answer:

x = 6

Hope This Helps :)

Answer:

it's D

Step-by-step explanation:

pls give me da crown

Answer:

5.20 I think bababsbbsbabbabav

the answers are in the picture

(a) All the elements of S are : S = {RR, RB, BR, BB},

(b) Elements in event A are {RB and BR},

(c) The probability of "event-A", which is the person drawing one "red-ball" and one "black-ball", is 1/2.

Part (a) : The "sample-space" (S) consists of all possible outcomes when drawing two balls with replacement. In this case, there are four possible outcomes : S = {RR, RB, BR, BB},

Part (b) : The "event-A" represents the person drawing one red-ball and one black-ball. The elements in event A are {RB and BR},

Part (c) : To calculate the probability P(A), we need to determine the ratio of favorable outcomes (elements in A) to the total number of possible outcomes (elements in S).

P(A) can be written as : (Number of favorable outcomes)/(Total number of possible outcomes),

Substituting the values from part(a) and part(b),

We get,

P(A) = 2/4

P(A) = 1/2

Therefore, the required probability is 1/2.

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Answer:

To compare who saves the most of their salary each month among Amy, John, and Emily, we need to calculate the amount of salary each person saves.

Let's assume that the monthly salary of each person is 'S'. Then we can calculate the amount saved by each person as follows:

Amy:

Amount saved = 20% of S = 0.2S

Amount spent = S - 0.2S = 0.8S

John:

Amount spent = 2/5 of S = (2/5)S

Amount saved = S - (2/5)S = (3/5)S

Emily:

Let's assume that Emily saves '5x' and spends '8x' of her monthly salary.

Then, according to the question, we have:

Amount saved = 5x

Amount spent = 8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

Amount saved / Amount spent = 5/8

Substituting the values of amount saved and amount spent, we get:

5x / 8x = 5/8

5x = (5/8) x 8x

5x = 5x

Therefore, the ratio of amount saved to amount spent is equal to 5:8. This means that Emily saves 5/13 of her monthly salary and spends 8/13 of her monthly salary.

So, the amount saved by each person is:

Amy: 0.2S

John: (3/5)S

Emily: 5/13 of S

Now, we need to compare these amounts to find out who saves the most.

To compare these amounts, we can write them in terms of a common denominator:

Amy: 0.2S

John: (3/5)S = (0.6)S

Emily: (5/13)S = (0.3846)S (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.

Working out:

Let's assume that each person earns $1000 per month.

Amy:

Amount saved = 20% of $1000 = $200

Amount spent = $800

John:

Amount spent = 2/5 of $1000 = $400

Amount saved = $1000 - $400 = $600

Emily:

Let's assume that Emily saves $5x and spends $8x of her monthly salary.

Then, we have:

Amount saved = $5x

Amount spent = $8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

$5x / $8x = 5/8

Solving for x, we get:

x = 8/13

Substituting the value of x, we get:

Amount saved = $5 x (8/13) x $1000 = $384.62 (approx.)

Amount spent = $8 x (8/13) x $1000 = $615.38 (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.

Answer:

10+the actual quantity of x=7 would be one of the 4 awnser choices you have made

Answer: x = 3

Step-by-step explanation: Move all terms not containing

x

x

to the right side of the equation.

Answer: 45 fish

Step-by-step explanation:

To find the answer you would first convert the percentage into a decimal which would be 25% for this problem. Then you multiply the original price by the decimal. 60 x 0.25=15. Next you would subtract the discount from the original price which would be 60-15=45.

Hope this helped!!

Answer:

diameter = 6.28 yards

Step-by-step explanation:

2 x 3.14 = 6.28

Answer:

X=9

Step-by-step explanation:

X/ Y=X/Y

3/18=x/54

next is simple math

X=9

Answer:

1 and 3, 2 and 4

Step-by-step explanation:

Supplementary angles total to 180° or should form a straight line. 1 and 3, 2 and 4 are vertical angles which equal one another and are not supplementary.

Answer:

c)-4/3

Step-by-step explanation:

perpendicular slope is opposite and reciprocal

the green line has a slope of 3/4

so the slope of the red line is -4/3

When we divide 5 by 6, we have a proper fraction:

Answer: proper fraction

The fraction is 5/6

Answer:

Step-by-step explanation:

It is unclear what is being asked in this question. The information provided does not make logical sense and it's hard to understand what is being asked. Could you please provide more information or rephrase the question?

The simplified form of the given trigonometric expression is √6/2·( cos(5π/12) + i·sin(5π/12)).

Given that, 12(cos(7π)/6 +isin(7π)/6))/(4√6(cos(3π/4) +isin(3π/4)).

= (12((-0.866)+i(-0.5))/(4√6(-0.7071+i0.7071)

= 12(-0.866-0.5i)/(4√6(-0.7071+i0.7071))

= (-10.392-6i)/9.8(-0.7071+i0.7071)

= (-10.392-6i)/(-6.9+9.8i)

If you have a problem such as   a·cos(A) / b·cos(B)

you can solve it as (a/b)·cos(A - B)

For this problem a = 12 and b = 4√(6) so a/b =√6/2

and A = 7π/6 and B = 3π/4 so A - B = 5π/12

Therefore, the simplified form of the given trigonometric expression is √6/2·( cos(5π/12) + i·sin(5π/12)).

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The solutions to the quadratic equation 4x² + 70x + 186 = 0 are approximately x₁ ≈ -3.765 and x₂ ≈ 14.855.

To determine the width of the deck, we can set up a quadratic equation based on the given information. Let's assume that the width of the deck is "x" feet. Since the deck surrounds the rectangular pool, the overall length of the pool, including the deck, will be increased by twice the width of the deck.

The new length of the pool, including the deck, will be 20 + 2x, and the new width will be 15 + 2x. The total area occupied by the deck and the pool is given as 414 ft². The area of the rectangular pool alone is length multiplied by width, which is 20 * 15 = 300 ft².

To find the area of the deck, we subtract the area of the pool from the total area: 414 - 300 = 114 ft². Since the deck has a uniform width, its shape will be a rectangle with length 20 + 2x and width 15 + 2x. The area of the deck can be calculated as (20 + 2x)(15 + 2x).

Setting up the equation, we have:

(20 + 2x)(15 + 2x) = 114

Expanding the equation:

300 + 40x + 30x + 4x² = 114

Simplifying further:

4x² + 70x + 186 = 0

This is a quadratic equation in standard form, set equal to zero, which can be solved using various methods such as factoring, completing the square, or using the quadratic formula.

To find the width of the deck, we need to solve this quadratic equation. After finding the solutions for x, we can determine the appropriate width by selecting the positive solution, as width cannot be negative in this context.

The solutions to the quadratic equation 4x² + 70x + 186 = 0 are approximately x₁ ≈ -3.765 and x₂ ≈ 14.855.

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When collecting quantitative data you can use a statistical formula to give you a rough estimate of the sample size you will need. When collecting qualitative data, however, the rule of thumb is to have as representative of a sample as possible that will allow you to exhaust the knowledge you could learn from the population.

Macroinvertebrate sampling provides a relatively easy way to assess the water quality of a stream. The types and numbers of macroinvertebrates (mostly insect larvae/nymphs) that form the biological community at a particular stream location are shaped by both the nature of the stream and the quality of water that drains into the stream.