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Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

What is triangle?

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.

Here,

We must apply the mathematical procedure for computing an equilateral triangle's area.

An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.

[3/4 (a)2] cm2 is the equilateral triangle's surface area.

In light of the information mentioned in the query,

√3/4 × (a)² = 196√3

a²/4 = 196√3/√3

a²/4 = 196

a² = 196×4

a² = 784

a = √784

a = 28

In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

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Answer:

A) y-1=-3/2(x+1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-1)/(1-(-1))

m=-3/(1+1)

m=-3/2

y-y1=m(x-x1)

y-1=-3/2(x-(-1))

y-1=-3/2(x+1)

9514 1404 393

Answer:

  x-intercept: -14/9

  y-intercept: 7

Step-by-step explanation:

This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.

  -9x = 14 . . . . . set y=0

  x = -14/9 . . . . divide by -9

__

To find the y-intercept, set x=0 and divide both sides by the coefficient of y.

  2y = 14 . . . . set x=0

  y = 7 . . . . . . divide by 2

The x-intercept is -14/9; the y-intercept is 7.

Step-by-step explanation:

I attached The photo of answer

-TheUnknownScientist

The 2-point midpoint formula is a method for finding the equation of a line that passes through the midpoint of two given points.

The formula for the 2-point midpoint is:

Where (x1, y1) and (x2, y2) are the two given points, and m is the slope of the line.

The slope of line is calculated by (y2-y1)/(x2-x1)

By using the midpoint of two given points, the 2-point midpoint formula eliminates the need for calculating the y-intercept of the line, which can save time and effort. It is particularly useful when working with geometric figures or real-world applications that involve moving objects or changing data. It also helps in predicting the values of future point when we know the past point.

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The solution to the inequality expression is x > -84

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

x +96 > 12

Subtract 96 from both sides of the inequality expression

So, we have the following representation

- 96 + x +96 > 12 - 96

Evaluate the like terms

x > -84

Hence, the solution is x > -84

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Answer:

47/100

Step-by-step explanation:

we will shift the 2/10 to the other side and change the sign to minus

Answer:

[tex] - 2x - 2 = 3( - x + 2) \\ - 2x - 2 = - 3x + 6 \\ - 2x + 3x = 6 + 2 \\ x = 8[/tex]

Answer:

.l,´mfkf jh h

Step-by-step explanation:

Answer:

-13 to the fifth power.

Answer:

1/2

Step-by-step explanation:

Did you mean "evaluate?"

Write out the expression

   4x/2x^2

and simplify it:  

    4x            2

---------- = ---------- after reduction

  2x^2           x

Now substitute 4 for x.  We obtain:

2/4 = 1/2

There is no 7th period, so no you aren't in 7th period.

Answer:

A

Step-by-step explanation:

mark me brainliest pls

Answer:

yo

Step-by-step explanation:

Answer:

x=3 y=1

Step-by-step explanation:

-2/3x+3=2x-5

x=3

y=-2/3(3)+3

y=1

y=2(3)-5

y=1

Answer:

uriah reams cost $26.2 and uriah's ink cost $43.6,for yasmine's reams it costs $87 and for the ink it costs $34.8

Step-by-step explanation:

hopefully it helps:)

The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).

So we can substitute these values into the formula:

-1 = (-2 - (-4)) / (5 - k)

-1 = 2 / (5 - k)

-1 × (5 - k) = 2

-5 + k = 2

k = 2 + 5

k = 7

Therefore, the value of k is 7.

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The number of hours of practice is 3 x h or 3h.

In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.

Given:

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.

Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.

The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.

Number of hours of practice

= hours of practice x number of practice

= 3 x h

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The product of expression is 24a² - 18ab.

A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.

We have,

3a( 8a - 6b)

Now, multiplying the expression as

= 3a(8a) - 3a(6b)

= 24a² - 18ab

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The probability that exactly 4 cars will enter the car wash in an hour is 0.195

Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:

P(X = 4) = (e^(-4) * 4^4) / 4!

where e is approximately 2.71828, and 4! is

4 * 3 * 2 * 1 = 24.

Plugging in the values, we get:

P(X = 4) = (2.71828^(-4) * 4^4) / 24

P(X = 4) =0.195

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Answer:

16

Step-by-step explanation:

189/12=15.75

15.75packs for all 189 student,rounded up since we can’t buy0.75packs. So the answer is 16 packs

Answer:

its 12 ÷ 189=15 packs

Step-by-step explanation:

15 r15

Answer:

(x, y ) → (x + 11, y - 11 )

Step-by-step explanation:

Consider the point U and its image U'

U (- 9, 1 ) → U' (2, - 10 )

This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and

- 10 - 1 = - 11 ↓ in the y- direction

This can be shown in the translation rule

(x, y ) → (x + 11, y - 11 )

In the transaction, he will receive $374 more in sales of buttered popcorn than caramel popcorn.

An operation, often known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

Given, Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.

Popcorn Sales     Popcorn Cost ($)      Number Sold Over w Weeks

Buttered                   11                                        8w+9

Caramel                    11                                        6w−1

After 12 weeks of total buttered popcorn, he will make the sale

= $11 * (8*12 + 9)

= 11 * (96 + 9)

= $1,155

After 12 weeks of total caramel popcorn, he will make the sale

= $11 * (6*12 - 1)

= $11* (71)

=$781

In the sale, he will get more sales in buttered popcorn than sales in caramel popcorn by 1,155 - 781 = $374

Therefore, He will make $374 more in sales of buttered popcorn than caramel popcorn during the sale.

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70-70-40 is an isosceles triangle.

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Answer:

3

Step-by-step explanation:

because x + (-12) =-9

so x= -9 +12

x = 3

Answer:

the answer is a) he was confused the height

Step-by-step explanation:

Answer:

Step-by-step explanation:

(A) He confused the height and the diameter.

Answer: C≈44.61mm

Step-by-step explanation:

The discriminant of the given quadratic equation 2x² - 4x + 3 = 0 is -8.

The standard form of quadratic equation is ax² + bx + c = 0

Compare the given equation with its standard form

a = 2, b = -4, c = 3

We know that

D = b² - 4ac

Substitute the values in the formula

D = (-4)² - 4(2)(3)

⇒ D = 16 - 24

⇒ D = -8

Since D < 0

Therefore, the given equation has no real roots.

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Answer:

F .0-(-8) I think so..........................

Answer:

F is represented on the number line

The equivalent expression of 5[tex]x^{3/2}[/tex] is  5√(x³). The correct option is last one.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression,

5[tex]x^{3/2}[/tex]

To find the equivalent expression:

We have to simplify the expression,

5[tex]x^{3.1/2}[/tex]

= 5(x³)[tex]){1/2}[/tex]

= 5√(x³)

The above expression is an equivalent expression.

Therefore, 5√(x³) is an equivalent expression.

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