Find the area of the parallelogram.

Step-by-step explanation:

23+42=65

0-24=-24

0-3/16=-3/16= -1875

03/16=0.1875

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

Answer: x =5

Step-by-step explanation:

subtract 7 on both sides than divide by 2

Answer:

x = 5

Step-by-step explanation:

Given: 2x + 7 = 17

1. Subtract 7 from both sides

2x + 7 - 7 = 17 - 7

2x = 10

2. Divide both sides by 2

2x ÷ 2 = 10 ÷ 2

x = 5

Final answer: x = 5

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Answer:

A.

Step-by-step explanation:

Because if she plays for a certain amount of time it would go up. And it she took a break it would be a straight line then go up the same line as the one at the bottom. Thus making your answer A.

Answer:

step 1. 6x2=12 first place way

step 2. 12×2=24

step 3. 24+6=30 second place way

Answer:

the answer is D

Step-by-step explanation:

i just did the test

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

−3(x−4)+x+1

Evaluate this with x=−6

−3(−6−4)+−6+1

=25

Hey there!

[tex] \displaystyle \red{ \boxed{ \green{25}}}[/tex]

-3(x - 4) + x + 1

>> Substitute -6 for x :

⇒ -3(-6 - 4) + (-6) + 1

⇒ -3(-10) - 6 + 1

⇒ 30 - 6 + 1

⇒ 24 + 1

⇒ 25

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Answer:

i = 17 Years old
ii = 25 years

Step-by-step explanation:

i = 12 + 5 =17

ii = his son was born when he was 9, hes 12 now, so his sons 3. In 5 years time his sons 8 and hes 17, 8+17= 25

Answer:

C) (-2,-16)

Step-by-step explanation:

It is the only point that does not fall on the slope 6x - 5, due to the nearest exact coordinate the line passes through is (-2,-17).

Step-by-step explanation:

180 ° - 146°=34°

Where by isosceles triangle is 180

Answer:

-13/3

and the last 2

Step-by-step explanation:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.

Answer:

$497.28

Step-by-step explanation:

First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:

16/100 = 0.16

Then, multiply 0.16 by 592, to get 94.72.

Then, subtract this number from 592:

592 - 94.72 = 497.28

Answer:

8.625 or 8 5/8

Step-by-step explanation:

to find area you multiply length times width.

first, change 2 7/8 to an improper fraction to make multiplying easier. 2 7/8= 23/8.

then, multiply 3/1 (or 3) by 23/8. multiply across to get 69/8. Simplify the fraction to get 8 5/8 or 8.625.

Answer:

Option A, rational numbers

Step-by-step explanation:

Step 1:  Determine which option is correct

Option B and D are automatically ruled out because only one of them is a whole number and the other one is a decimal.  Option C doesn't work also because natural numbers are all the whole numbers that are greater than 1.  The only option that makes sense is option A which includes whole numbers and decimals.

Answer:  Option A, rational numbers

Answer:

[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

Step-by-step explanation:

1) Move all terms to one side.

[tex]2x^{3} -x^{2} -3x-210=0[/tex]

2) Factor [tex]2{x}^{3}-{x}^{2}-3x-210[/tex] using Polynomial Division.

1 -  Factor the following.

[tex]2x^{3} -x^{2} -3x-210[/tex]

2 -  First, find all factors of the constant term 210.

[tex]1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210[/tex]

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]2*1^{3} -1^{2} -3*1-210=-212[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]2(-1)^{3} -(-1)^{2} -3*-1-210=-210[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]2*2^{3} -2^{2} -3*2-210=-204[/tex]

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

[tex]2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224[/tex]

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

[tex]2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174[/tex]

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

[tex]2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264[/tex]

Substitute 5 into x. Since the result is 0, x-5 is a factor..

[tex]2\times {5}^{3}-{5}^{2}-3\times 5-210 =0[/tex]

------------------------------------------------------------------------------------------

⇒ [tex]x-5[/tex]

4)  Polynomial Division: Divide [tex]2{x}^{3}-{x}^{2}-3x-210[/tex]  by [tex]x-5[/tex].

                                               [tex]2x^{2}[/tex]                       [tex]9x[/tex]                      [tex]42[/tex]

                                      -------------------------------------------------------------------------

[tex]x-5[/tex]                               |    [tex]2x^{3}[/tex]                          [tex]-x^{2}[/tex]                     [tex]-3x[/tex]     [tex]-210[/tex]

                                           [tex]2x^{3}[/tex]                             [tex]-10x^{2}[/tex]

                                        -----------------------------------------------------------------------

                                                                             [tex]9x^{2}[/tex]                [tex]-3x[/tex]       [tex]-210[/tex]

                                     --------------------------------------------------------------------------

                                                                          [tex]42x[/tex]                              [tex]-210[/tex]

                                                                         [tex]42x[/tex]                               [tex]-210[/tex]

                                      -------------------------------------------------------------------------

5)  Rewrite the expression using the above.

[tex]2x^2+9x+42[/tex]

[tex](2x^2+9x+42)(x-5)=0[/tex]

3) Solve for [tex]x.[/tex]

[tex]x=5[/tex]

4)  Use the Quadratic Formula.

1 - In general, given [tex]a{x}^{2}+bx+c=0[/tex] , there exists two solutions where:

[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

2 -  In this case, [tex]a=2,b=9[/tex] and [tex]c = 42.[/tex]

[tex]x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}[/tex]

3 - Simplify.

[tex]x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

5) Collect all solutions from the previous steps.

[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

Answer:

(17,-1)

Step-by-step explanation:

The solution in the image

Answer:

Answer: 10x^2 -13x-3

Foil method

Step-by-step explanation:

I beleive its right.

Answer:

D. 32%

Step-by-step explanation:

In an exponential function, exponential growth is modeled by f(x) = a(1 + [rate])ˣ. In this function, the initial value a, which is 2.3, is multiplied by 1.32 x times, so 1.32 represents the actual growth happening.

This means that to find the actual rate of exponential growth, you’d have to set 1.32 equal to (1 + [rate]). If (1 + [rate]) = 1.32, then the rate = .32, and because rates are written as percentages, we change .32 to 32%.

The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.

The following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.

At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.

Outcome of simulations = 1 + 8 + 16 + 23 = 48

Percentage of simulation = outcome/total x 100%

Percentage of simulation =  (48 x 100%)/100

Percentage of simulation =  48%

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Answer:

22%

Step-by-step explanation:

so 500-390 = 110

110 students said their favorite color was blue.

110/500 = ?/100

110 times 100 = 11000

11000/500 = 22

give brainliest, please!

hope this helps :)

Answer:

A

Step-by-step explanation:

A fireball

The expression that is equivalent to the expression, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is the expression, [tex]64m^9n^3[/tex].

If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.

Given the expression,

[tex](\frac{4m^5n^2}{m^2n} )^3[/tex]

Evaluate the expression in its simplest form

[tex](\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3[/tex]

Multiply the exponents in the bracket by the one outside, then find the cube of 4.

[tex]64m^9n^3[/tex]

Therefore, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is equivalent to [tex]64m^9n^3[/tex].

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Answer:

it's D, cause for one, on b and c, their are multiplying by fractions, their is a rule like, either divide by 2 or multiple by one half, and the first one doesn't make sense so

Answer:

The peanut is 12.59 feet away from the base of the platform.

Step-by-step explanation:

When solving these equations, we can first start out by noticing that this requires a trigonometry function.

There are three types : cos, sin, and tan.  (cosine, sin, and tangent)

Cos is for finding and dealing with the adjacent and the hypotenuse.

Sin is for finding and dealing with the opposite and the hypotenuse.

Tan is for finding and dealing with the opposite and the adjacent.

The opposite is the bottom base, to the peanut.

The adjacent is the height from the bottom base, to the top.

The hypotenuse is the top, to the peanut.

27 feet would be the adjacent.

Since we don't know bottom base to the peanut, we would call this x. (opposite)

*Side note*  :   The degrees is always in between the adjacent and hypotenuse.

For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :

tan (degrees) = opposite/adjacent

So, now we simply put in the data.

tan 25 = x/27

We can now, first get x alone by multipling both sides by 27.

27 * tan 25 = x

Plug this into a scientific calculator :

27 * tan 25

We the answer to be 12.59

The peanut is 12.59 feet away from the base of the platform

Using the triangle proportionality theorem, the length of segment MF in triangle LMN is: 48 cm.

The triangle proportionality theorem states that when a segment intercepts two sides of a triangle and it is parallel to a third side, then it divides the side proportionally.

The diagram of triangle LMN is shown below. Using the triangle proportionality theorem, we have:

MF/MN = ME/ML

Plug in the values

MF/124 = (31 - 19)/31

MF/124 = 12/31

MF = (12 × 124)/31

MF = 48 cm

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Answer:

[tex]14137.8[/tex] to the nearest tenth

Step-by-step explanation:

write the equation of sphere volume:

[tex]\frac{4}{3} \pi r^{3}[/tex]

substitute the radius to the equation :

[tex]\frac{4}{3} \pi* 15^{3}[/tex]

solve by calculator:

[tex]\frac{4}{3} \pi* 15^{3}=14137.17\\[/tex]

≈[tex]14137.8[/tex] to the nearest tenth

Answer:

273

Step-by-step explanation:

Answer: 273

Step-by-step explanation: when you divide 16.38 by 0.06 you get 273.