I don't get how to do this. Please Explain step-by-step please.

(-8x³y²)² × 2x²y⁶
--------------------------
32x⁸y³

Answer: 8/3g cm

Step-by-step explanation:

Perimeter of a square = distance round the square

Since 1 side = 2/3g cm

A square has 4 side and all sides are equal

so each of the 4 side of the square is 2/3 g cm

Therefore perimeter = 2/3g cm + 2/3g cm+ 2/3g cm + 2/3g cm

Perimeter = 8/3g cm

Answer:

175 cubic units

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Answer:

1. The correct answer choice is C $132.

2. The correct answer choice is B -$13.05

Step-by-step explanation:

1. 12 x 4 = 48.

180 - 48 = 132

2. -65.25/5 = -13.05

Yes, I know this is already answer.

Also, I took the test :)

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The initial value of a function is when x = 0.  The initial value of the Trampoline Park is $5.00

Given that:

[tex](x_1,y_1) \to (3,18.5)[/tex]

[tex]m = 4.50[/tex] ---- the rates

The equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 4.50(x - 3) + 18.5[/tex]

Open bracket

[tex]y = 4.50x - 13.5 + 18.5[/tex]

[tex]y = 4.50x + 5.00[/tex]

The initial value is when [tex]x=0[/tex]

So, we have:

[tex]y = 4.50 \times 0 + 5.00[/tex]

[tex]y = 5.00[/tex]

Hence, the initial value is $5.00

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The perimeter of triangle RST is B) 56.25 units. Therefore, the correct answer is B) 56.25 units.

The perimeter of a triangle is the sum of the lengths of its sides.

Since triangle XYZ is similar to triangle RST, the ratio of the corresponding sides of the two triangles is the same.

Therefore, we can set up the following proportion:

XY / XZ = RS / RT

Substituting the known values, we get:

15 / 4 = RS / RT

Multiplying both sides by RT, we get:

15 = RS * RT

We also know that the sum of the angles in a triangle is 180 degrees. Therefore, we can set up the following equation:

90 + ∠RST + ∠SRT = 180

Substituting the fact that triangle XYZ is similar to triangle RST, we get:

90 + ∠XYZ + ∠XZY = 180

Substituting the known values, we get:

90 + 30 + 60 = 180

Therefore, ∠RST = 60 degrees.

Now that we know the lengths of two sides of triangle RST and the measure of one angle, we can use the law of cosines to find the length of the third side:

RT^2 = RS^2 + ST^2 - 2 * RS * ST * cos(∠RST)

Substituting the known values, we get:

RT^2 = 15^2 + ST^2 - 2 * 15 * ST * cos(60 degrees)

Simplifying, we get:

RT^2 = 225 + ST^2 - 15ST

We also know that the perimeter of triangle RST is equal to the sum of the lengths of its sides:

Perimeter = RS + RT + ST

Substituting the fact that triangle XYZ is similar to triangle RST, we get:

Perimeter = 15 + RT + ST

Now that we know the length of RT and the fact that the perimeter of triangle RST is equal to the sum of the lengths of its sides, we can substitute these values into the equation for the perimeter to find the length of the third side, ST:

Perimeter = 15 + RT + ST

ST = Perimeter - 15 - RT

ST = 56.25 - 15 - 37.5

ST = 3.75

Therefore, the perimeter of triangle RST is:

Perimeter = RS + RT + ST

Perimeter = 15 + 37.5 + 3.75

Perimeter = 56.25

Therefore, the correct answer is B) 56.25 units.

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Question

Triangle XYZ is similar to triangle RST.

Side lengths:

XY = 15 units

XZ = 4 units

YZ = 6 units

Angle measures:

∠X = 90°

What is the perimeter of triangle RST?

A) 45 units

B) 56.25 units

C) 37.5 units

D) 15 units

Answer:

1/8

Step-by-step explanation:

You need to find P not 4p so you divide 4p by 4 to get P and by doing this you have to divide the other side too. so now you got 4p/4 = 1/2/4 which = p=1/8

The solution is 3/2

The product of the numbers is given by the equation A = ( 3/4 ) x 2 and the value of A = 3/2 or A = 1.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p

The value of p = 3/2

Let the second number be q

The value of q = 2

Now , the equation will be

A = first number x second number

Substituting the values in the equation , we get

A = ( 3/4 ) x 2

On simplifying the equation , we get

A = ( 3 x 2 ) / 4

A = 3/2

A = 1.5

Therefore , the value of A is 3/2

Hence , the value of the equation is 3/2

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The sofa at (4, 3) and the bed at (7, 5) are within the 5-meter range of good WiFi coverage from the router at (2, 5), whereas the desk at (6, 1) is outside this range.

The WiFi router is located at point (2, 5), and the radius of good coverage is within 5 meters. Let's use the distance formula d = √{(x_2 - x_1)^2 + (y_2 - y_1)^2} to calculate the distance to each location:

The sofa at (4, 3): d =√{(4 - 2)^2 + (3 - 5)^2} = √{4 + 4} = √{8} ≈ 2.83 meters

The bed at (7, 5): d = √{(7 - 2)^2 + (5 - 5)^2} = √{25 + 0} = √{25} = 5 meters

The desk at (6, 1): d = √{(6 - 2)^2 + (1 - 5)^2} = √{16 + 16} = √{32} ≈5.66  meters

Locations A (The sofa) and B (The bed) are within the 5-meter range of good coverage. Location C (The desk) is outside the 5-meter range.

The first angle measures 39 degrees, the second angle measures 78 degrees, and the third angle measures 63 degrees.

The sum of the angle measures of any triangle is always 180 degrees. Let's denote the measure of the first angle as 'x'. According to the given information, the second angle measures twice the first angle, which means it is 2x. Lastly, the third angle measures 15 degrees less than the second angle, so it is 2x - 15.

To find the angle measures of the triangle, we need to set up an equation and solve for 'x'. The sum of all three angles is 180 degrees, so we have the equation: x + 2x + (2x - 15) = 180. Simplifying this equation gives us 5x - 15 = 180. Adding 15 to both sides and then dividing by 5, we get x = 39.

Therefore, the first angle measures 39 degrees, the second angle measures 2x = 2(39) = 78 degrees, and the third angle measures 2x - 15 = 2(39) - 15 = 63 degrees.

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Option (C) The expression that has a value less than 32 is 32  times 3 / 4, which equals 24. The other expressions result in values greater than 32.

The student has asked which expression has a value less than 32. To compare the given expressions, we should evaluate them:

32  times 4 / 3 is greater than 32 since 4/3 is greater than 1.

32  times 3 / 4 is 32 multiplied by a fraction less than 1, so this will be less than 32. Multiplying 32 by 3 gives us 96, and dividing 96 by 4 yields 24.

32  times 3 / 4 or 24 is mentioned twice, and it remains less than 32.

32  times 5 / 2 is greater than 32 because 5/2 is more than 2.

Therefore, both instances of 32  times 3 / 4 (or 24) represent the expression that has a value less than 32.

After divide, the quotient of 1.2 divided by 251.2 is 0.004777.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ 1.2 divided by 251.2

Solve this as;

⇒ 1.2 ÷ 251.2

⇒ 0.004777

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