Please help me with this question urgently.

Answer:

2.125

Step-by-step explanation:

Since it shows that the scale factor for sides EF and BC Is 4 that means that the scale factor for sides DE and AB is also going to be 4.

What you can do is you divide 8.5 by 4 and you will end up getting 2.125 for your answer.

Answer: 2.125

Step-by-step explanation:

Answer:

i am from afghanistan and you

Answer:

.242 Kilograms

Step-by-step explanation:

To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.

Answer:

The farmer needs 24 crates to hold the carrots.

Step-by-step explanation:

To determine how many crates the farmer needs to hold the carrots, knowing that his farm has 4.8 acres of land, where he can harvest 120 pounds per acre, and that each crates can hold up to 24 pounds of carrots, the following calculation must be performed:

(4.8 x 120) / 24 = X

576/24 = X

24 = X

Thus, the farmer needs 24 crates to hold the carrots.

Answer:

24 crates

Step-by-step explanation:

I had an assignment with this question and I got it right :/

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

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Answer:

A=6 should be the answer.

Answer:A

Step-by-step explanation: Count the edges, which is 6

The area of the complex figure is 132 square units

From the information given, we have that the composite shape is a combination of a:

The formula for area of a square is given as:

Area = a ²

Where 'a' is the length of it side

Area = 6²

Area of square = 36 square units

The formula for area of a rectangle is given as:

Area = width × length

Area = 8 × 12

Area of rectangle = 96 square units

Area of the complex figure = Area of square + area of rectangle

= 36 + 96

= 132 square units

Thus, the area of the complex figure is 132 square units

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Answer:

Two sets are called disjoint if they have no elements in common. For example:

The sets S = { 2, 4, 6, 8 } and T = { 1, 3, 5, 7 } are disjoint.

Another way to define disjoint sets is to say that their intersection is the empty set,

Two sets A and B are disjoint if A ∩ B = 0.

In the example above,

S ∩ T = ∅ because no number lies in both sets.

Step-by-step explanation:

When two sets A and B having no common items then n(A∩B) = 0.

In mathematics, two sets are said to be disjoint sets if they have no element in common.

Let there be two sets A and B,

A = {a, b, c, d}

B = {e, f, g, h}

Therefore intersection of A ad B we get,

A∩B = {0}

Thus, the number of elements in n(A∩B) is 0.

⇒ n(A∩B) = 0

Thus, when two sets A and B having no common items then n(A∩B) = 0.

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Answer:

1) PM < PQ + QM

2) PM < PR + MR

3) PM < 1/2 (PQ + PR + QR)

Step-by-step explanation:

This problem is based on the Pythagorean Theorum Equation

which states that a right triangle with sides a, b and hypotenuse can be written mathematically as hypotenuse = \(\sqrt{a^2 + b^2}\)

We can rewrite each line segment of the diagram into variables to simplify this problem and use the Pythagorean equation:

Line PQ = Hypotenuse 1, Line PR = Hypotenuse 2, Line PM = Side B, Line QM = Side A, Line MR = Side C

With all the line segments simplified into variables you can separate the diagram into 2 seperate triangles. Triangle 1 has H1, A, B and Triangle 2 has H2, C, B

Using the Pythagorean equation for both triangles you get:

H1 = \(\sqrt{a^2 + b^2}\)   and H2 = \(\sqrt {c^2 + b^2}\)  

Now you can assign random values for each variable and compare the problem statements.

For Triangle 1 lets assign variables A = 1, B = 2, and H1 = \(\sqrt{1^2 + 2^2}\) = \(\sqrt{3}\) = 1.73  For Triangle 2 lets assign variables C = 3, B = 2 and H2 = \(\sqrt {3^2 + 2^2} = \sqrt {13}\) = 3.6  

For the final step you can directly compare the statements and see which symbol is correct.

1) B ____ H1 + A is equivalent to  2  ____ (1.73 + 1),  which is turns out to be  2 < 2.73   The answer is  <

2) B ____ H2 + C is equivalent to 2 ____ (3.6 + 3), which turns out to be

2 < 6.6    The answer is < again

3) B ____ 1/2 (H1 + H2 + (A+C)  is equivalent to  2 _____ [1/2] (1.73 + 3.6 + 1 + 3), which turns out to be  2 < 4.67     The answer is <  again

Answer:

μ = 6500

μx= 6500

σx= 76

σ= 450

n= 35

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average game is attended by 6,500 fans, with a standard deviation of 450 people.

This means that \(\mu = 6500, \sigma = 450\)

35 games:

This means that \(n = 35\)

Distribution of the sample mean:

By the Central Limit Theorem, we have \(\mu_x = \mu = 6500\) and the standard deviation is:

\(\sigma_x = \frac{450}{\sqrt{35}} = 76\)

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Given: The bearing and distance of Maria and an antenna

To Determine: The height of the antenna from the given information

Solution

From the given information, the diagram below can be deduced

From the diagram above, the height of the antenna is TB

Using SOH CAH TOA

Hence, the height of the antenna is 161ft

how will apply the lesson i have learned in real life scenari

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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Answer:

it is too easy I will answer it soon.

Answer:

The answer is Triangle C

Step-by-step explanation:

Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

Assembly dept. allocation rate = $45 per MH; Packaging dept. allocation rate = $0.60/DL$; Total cost for Basic = $864,000; Total cost for Deluxe = $1,566,000; Cost/unit for Basic = $144/unit; Cost/unit for Deluxe  = $52/unit.

a) Assembly dept. allocation rate = $1,620,000 MOH / 36,000 MH = $45 per MH

Assembly dept. MOH allocated to Basic = 6,000 MH * $45/MH = $270,000

Assembly dept. MOH allocated to Deluxe = 30,000 MH * $45/MH = $1,350,000

b) Packaging dept. allocation rate = $810,000 MOH / $1,350,000 DL$ = $0.60/DL$

Packaging dept. MOH allocated to Basic = $990,000 DL$ * $0.60/DL$ = $594,000

Packaging dept. MOH allocated to Deluxe = $360,000 DL$ * $0.60/DL$ = $216,000

c) Total cost for Basic = $270,000 + $594,000 = $864,000

Total cost for Deluxe = $1,350,000 + $216,000 = $1,566,000

d) Cost/unit for Basic = $864,000 / 6,000 units = $144/unit

Cost/unit for Deluxe = $1,566,000 / 30,000 units = $52/unit

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Answer:

25 in by 45 in.

Step-by-step explanation:

The length of the box will be x + 20 - 10 - 10 = x

The width of the box will be x - 10 - 10 = x - 20

The height of the box will be 10

So the volume = length x width x height

                        = x(x - 20)10 = 1250

                        =   \(10x^{2} - 200x = 1250\)

                         \(10x^{2} -200x - 1250 = 0\)

                           \(10(x^{2} -20x - 125)\\\) = 0

                          10(x + 5)(x - 25) =0

                                 x = -5      x = 25

- 5 must be discarded since a length cannot be negative.  

Therefore x = 25 in = width of piece of cardboard

            x + 20 = 25 + 20 = 45 in = length of piece of cardboard

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

I think its B 36° its an acute angle

Answer:

84

Step-by-step explanation:

∠ABE° = 90  - 30 = 60

∠BFC° = 180 - 144 = 36

60 + 36 = 96

∠BEF° = 180 - 96 = 84

Answer:

your paying for each day 56.66

Answer:

Step-by-step explanation:

Answer:

Tan

36

Step-by-step explanation:

The solution of the given expression in a single trigonometric function is tan36°.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that the trigonometric function is { tan (57°) - tan(21°)/1 + tan(57°)tan(21°)}.

The trigonometric formula is,

tan(a-b) = ( tana- tanb ) / ( 1 - tan(a)tan(b)

tan(57-21) =  { tan (57°) - tan(21°)/1 + tan(57°)tan(21°)}.

tan36° =  { tan (57°) - tan(21°)/1 + tan(57°)tan(21°)}.

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