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The area of the rhombus in the simplest radical form is 87 units²

Therefore,

area of the rhombus = ab / 2

where

Therefore,

tan 60 = x / 5

x = 5 tan 60

x = 8.66025403784

x = 8.7 units

area of the rhombus = (8.7 ×2) (5 × 2) / 2 = 17.4 (10) / 2 = 87 units²

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Using translation concepts, it is found that graph D represents the function f(x) = tan(x + 1).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The function f(x) = tan(x + 1) is a translation of one unit to the left of g(x) = tan(x), which has g(0) = 0, hence at the translated function g(-1) = 0, which means that graph D represents the function f(x).

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Answer:

y = -2

x = 5

Step-by-step explanation:

3x - y = 17

-x + y = -7

here we can find the sum of the two equations

2x = 10

x = 5

now we can just plug in the value of x to find y

-(5) + y = -7

y = -2

Answer:

Step-by-step explanation:

Let :

Solving

Solution

Answer:

Step-by-step explanation:

The given information lets us write two equations relating the side lengths.

__

Let L and S represent the lengths of the longer and shorter sides. We are told ...

  S + L + L = 4S . . . . . the perimeter is 4 times the short side length

  L = 4.5 +S

__

Using the second equation to substitute for L in the first equation, we have ...

  S +2(4.5 +S) = 4S

  9 = S . . . . . . . . . . . . . simplify, subtract 3S

  L = 4.5 +S = 13.5

The shortest side is 9 ft; the longer sides are 13.5 ft.

__

Additional comment

The perimeter is 36 ft.

Answer:

one solution: -12/5

Step-by-step explanation:

Solution

To find how many solutions the equation has, we have to solve for the equation first!

Step 1: Combine like terms.

Step 2: Subtract 3x from both sides.

Step 3: Add 5 to both sides.

Step 4: Divide both sides by -5.

Therefore, the answer is one solution

The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ

ΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)

ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]

ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]

ΔHrxn = –1085.6 + 184.8

ΔHrxn = –900.8 KJ

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Answer:

A: –900.8 kJ

Step-by-step explanation:

I will help u so fast, first

you help me

can u answer this

some fanicial and environmental damages that have been made by cars.

please help me

this is exam

teacher giving us 10 minutes to discuss about and I am in washroom of school writing this

The measure of the ∠B of given parallelogram is 362 - 42x

In the above question, a figure which is known as Parallelogram is given, where the following angles are given :

Measure of ∠A = 6x + 14

Measure of ∠C = 9x - 7

Measure of ∠D = 17x + 5

We need to find, the measure of the ∠B

From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B

Now,

∠A + ∠B +  ∠C + ∠D = 360

16x + 14 +  ∠B + 9x - 7 + 17x + 5 = 360

∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)

∠B + 42x = 360 - (-2)

∠B = 362 - 42x

Hence, the measure of the ∠B is 362 - 42x

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Answer:

56 degrees

Step-by-step explanation:

Just did the Imagine Math

Answer:

3

Step-by-step explanation:

Find the sum of the data set and divide it by the number of data points in the set:

[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]

Therefore, the mean of the data set is 3

Answer:

mean: 68

median: 76.5

mode: 23, 95

range: 93

Step-by-step explanation:

Put numbers in order:

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

mean: sum of the terms / number of terms

sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680

number of terms: 10

680 / 10 = 68

median: number of terms / 2

10 / 2 = 5, 5th number on the list

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

between 67 and 86 since its an even number data set

67 + 86 / 2 = 76.5

mode: the most occurring number

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

- 17, 64, 67, 86, 100, 110 has 1 each

- 23 has 2

- 95 has 2

23 and 95 have the same reoccurring amount

range: max - min numbers

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

110 - 17 = 93

NO outliers

Hope this helps you a little more for your last day of finishing hmw :)

Let me know if you need anymore help !

OR have questions

Answer:

The answer is 15

Step-by-step explanation:

Step-by-step explanation:

let the number of total phones be 8x and number of iPhones be 5x

now,

8x=24

or, x= 24/8 = 3

therefore

no. of iPhones = 5x = 5×3 = 15

i hope my answer is clear

we have three sides, let's look at the two smaller sides first.

check the picture below atop.

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check the picture below at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 11.

so the third side being 11 is a no dice.

Using it's concept, it is found that the desired probability is given as follows:

B) 0.20.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of a total of 165 vehicles, 33 are SUV's with no all wheel drive, hence the probability is given by:

p = 33/165 = 0.2.

Which means that option B is correct.

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Answer:

B) 0.20

Step-by-step explanation:

correct on edge

Answer:

  83 m

Step-by-step explanation:

The missing dimension can be found by using the area formula. Fill in the given values, and solve for the remaining unknown value.

__

  A = LW . . . . . area of a rectangle of length L and width W

  3403 m² = L(41 m) . . . . with given values filled in

  L = (3403 m²)/(41 m) = 83 m . . . . . . divide by the coefficient of L

The length of the gym is 83 meters.

Answer:

ProvideD :

To FinD :

SolutioN :

[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]

[tex] \longrightarrow \tt \: a = 1082.43216[/tex]

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Answer:

positive association

Step-by-step explanation:

The longer a movie is, the more screen time it will have, and the more actors it will probably need.

Answer:

the odds that it not blue is 9 /13 or .692

Step-by-step explanation:

1)The relative frequency of those who own a smartphone will be 45%.

2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.

Assume you need to compute the joint relative frequency of a certain category inside a larger category.

Then there's the proportion of that specific category's frequency to the total frequency of that large category.

Given data;

The total number of persons polled:

⇒216 (26 + 84 + 72 + 34)

⇒216

The number of persons who own a smartphone is calculated as follows:

⇒26 + 72

⇒98

The relative  frequency of those who own a smartphone is calculated as;

[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]

Hence,the relative frequency of those who own a smartphone will be 45%

2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.

Hence,option C is correct.

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Answer:

11/64

Step-by-step explanation:

Each question can be answered in 2 ways

∴ Total ways in which 10 questions can be answered

=2¹⁰

No. of ways of guessing at least 7 questions

out of 10

=7 questions correct +8 questions correct

+9 questions correct +10 questions correct

= ¹⁰C7(1)⁷+ ¹⁰C8(1)⁸+ ¹⁰C9(1)⁹+ ¹⁰C10(1)¹⁰

= 120 + 45 + 10 +1

=176

..Required Probability =176/2¹⁰

.. =11×16/2¹⁰

=11/64

Answer:

52.8*2=105.6

Step-by-step explanation:

52 I'm per hour means in two hour she travels double times that is 105.6 miles per hour

Answer:

Step-by-step explant 1 grows more

Step-by-step explanation:

plant 2 only grows one cm a day while plant 2 grows 1.6 cm a daycation:

Answer:

3.9075x10^5

Step-by-step explanation:

Hope this helps! ;-)

Answer:

2.44 units

Explanation:

[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

Solve for AB:

[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]

[tex]\rightarrow \sf 2.4422...[/tex]

[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]

Answer:

6/7

Step-by-step explanation:

all fractions have a common denominator which allows us to add all numerators and maintain the same denominator. 2+3+1=6, and put it back over 7. so 6/7.

Step-by-step explanation:

for the same arc, the angle at the circumference of the circle is half of the angle at the center of the circle.

and the arc angle is normally representing the angle at the center of the circle.

therefore, the

angle ACB = arc angle AB / 2 = 80/2 = 40°

so, B is the right answer.

Answer:

the value of the expression will be 15.

Step-by-step explanation:

equation giver : 2x/6y

value of x given: 15

value of y given: 1/3

on putting the values in the equation,

2×15 / 6×1/3

= 30 / 6/3

on simplification,

= 30/2

= 15

therefore, the value of the expression will be 15

b. and d.

Step-by-step explanation:

the sentence is true

I assume you're asking to solve for the n-th term in the sequence, [tex]a_n[/tex].

From the given recursive rule,

[tex]a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2[/tex]

and by substitution,

[tex]\implies a_n = a_{n-2} + 2\times2[/tex]

Similarly,

[tex]a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2[/tex]

[tex]\implies a_n = a_{n-3} + 3\times2[/tex]

The pattern continues, so that we can write the n-th term in terms of the 1st one:

[tex]a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}[/tex]

So the first few terms of the sequence are

{10, 12, 14, 16, 18, 20, …}