Triangle ABC is defined by the points A (8, -2),
B (0, 5), and C (-1, 0). Find the perimeter of
the triangle. Round to two decimal places

Answer:

R

Step-by-step explanation:

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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Step-by-step explanation:

6.

the sum of all internal angles in a polygon is

(n-2)×180

n is the number of sides of internal angles.

now, that means that one internal angle of a regular polygon is

(n-2)×180/n

and we know that is 170°.

so,

170 = (n-2)×180/n

170n = 180n - 360

-10n = -360

10n = 360

n = 36

the polygon has 36 sides.

7.

a. is a rectangle or a square, as the fact that all 4 segments of the diagonals are equally long solid to both. after all, a square is just a special rectangle.

but given the picture that suggests different Legrand and widths it is a rectangle.

b.

parallelogram.

the 2 lengths are equal, and the 2 widths are equal. and therefore, both lengths are parallel and both widths are parallel.

but the angles are not 90°. so, it is not a rectangle, but still a parallelogram.

c.

isoceles trapezoid.

top and bottom sides are parallel, but if different size.

the left and right sides are equally long and inclined inwards.

8.

as explained in 7. : the 2 lengths are equal and parallel, and the 2 widths are equal and parallel.

also the diagonals intercept each other at their midpoints. so, both segments of a diagonal are equal.

the sum of all angles is still 360°, and the opposing angles are equal, while every pair of neighboring angles are together 180°.

and - the sum of all angles in a triangle is always 180°.

a. AD = BC = 7

b. DC = AB = 16

c. AC = 2×EC = 2×7 = 14

d. EB = ED = 10.2

angle DAB = angle BCD = 120°

angle ADC = angle ABC = 43 + x

e.

180 = 120 + 43 + x

60 = 43 + x

17° = x

so,

angle ABC = angle ADC = 43 + 17 = 60°

f. angle CDB = x = 17°

g. angle CBD = angle ADB = 43°.

because

180 = CDB + BCD + CBD

180 = 17 + 120 + CBD

43° = angle CBD

h. angle BCD = angle DAB = 120°.

Answer:

Question 6:

Question 7:

Question 8:

Step-by-step explanation:

The formula for calculating the interior angle of a regular polygon is:

\(\text{Interior angle}=\dfrac{(n - 2) \times 180^\circ}{n}\)

where n is the number of sides of the regular polygon.

To calculate the number of sides a regular polygon has if its interior angle is 170°, substitute this angle into the formula and solve for n.

\(\implies 170^{\circ}=\dfrac{(n - 2) \times 180^{\circ}}{n}\)

\(\implies 170n=180(n - 2)\)

\(\implies 170n=180n-360\)

\(\implies -10n=-360\)

\(\implies n=36\)

Therefore, a regular polygon with an interior angle of 170° has 36 sides.

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Congruent lines are shown by placing the same number of tick marks on each congruent line segment.

Parallel lines are shown by placing the same number of arrows on each parallel line.

Shape a is a rectangle because the diagonals bisect each other and the length of the diagonals is equal, indicated by the tick marks.

Shape b is a parallelogram because it has two pairs of parallel opposite sides.

Shape c is an isosceles trapezoid because one pair of sides is parallel and the remaining sides are non-parallel and equal in length.

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A parallelogram has opposite sides that are of equal length. Therefore:

The diagonals of a parallelogram bisect each other. Therefore:

Therefore, AC = AE + EC = 7 + 7 = 14

Same-side interior angles sum to 180°. Therefore:

⇒ m∠DAB + m∠ABC = 180°

⇒ 120° + m∠ABC = 180°

⇒ m∠ABC = 60°

The opposite angles of a parallelogram are equal. Therefore:

As m∠ADC = 60° and m∠ADE = 43° then:

According to the alternate interior angles theorem:

Answer:

3.92

Step-by-step explanation:

28 * 14%

Keyword =

Of = X

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Answer:

Step-by-step explanation:

The figure consist of:

The perimeter is:

The answer is No.

14+4=18

18+5=23

23+6=29.

As you can see there is no consistency or linear function between these, unlike the x side which increases by the same number(1).

If the graph of \(f(x) = 4e^{0.1x}\) is blue, then the graph of \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

For the rate of change of the blue exponential function \(f(x) = 4e^{0.1x}\), we have the following:

b = \(e^{0.1}\)

b = 1.11

For the rate of change of this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\), we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is represented by the red line on the graph.

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The equation of line FG is given as follows:

y = -0.5x - 5.5.

The circle has a center of (1, -1), hence the equation is given as follows:

(x - 1)² + (y + 1)² = r².

Point (-1, -5) is on the circumference of the circle, hence the radius is obtained as follows:

(-1 - 1)² + (-5 + 1)² = r²

r² = 40.

Hence:

(x - 1)² + (y + 1)² = 40.

Applying implicit differentiation, the derivative is given as follows:

2(x - 1) + 2(y + 1)m = 0

2x - 2 +2m(y + 1) = 0

m = (x - 1)/(y + 1)

At x = -1 and y = -5, hence the slope is given as follows:

m = -2/4

m = -0.5.

Hence the equation is given as follows:

y + 5 = -0.5(x + 1).

y = -0.5x - 5.5.

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Answer: (-1/2, -1/2)

Please mark me as Brainliest

Answer:

Step-by-step explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm

Answer: Blue

Step-by-step explanation:

Half of the entire freaking bag is blue,it states it in the question.If there is so many,unless by pure blind luck you will get that.

I hope it helps!

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

-36

Step-by-step explanation:

x / (-3) = 12

x = 12*(-3)

x = -36

A statement that is true about the mapping shown include the following: A. It represents a function because each x-value corresponds to exactly one y-value.

In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the mapping diagram below, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the mapping diagram represent a function.

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Complete Question:

Which is true about the mapping shown?

A. It represents a function because each x-value corresponds to exactly one y-value.

B. It represents a function because each y-value corresponds to exactly one x-value.

&. It does not represent a function because each x-value corresponds to exactly one -value.

D, It does not represent a function because each y-value does not correspond to exactly one x-value.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

75 Kilometers

Step-by-step explanation:

We have been given that the distance between two towns is 120 km.

We are also told that there are approximately 8 km in 5 miles. Let us find number of miles per km by dividing 5 by 8.

\text{Number of miles in 1 km}=\frac{5\text{ miles}}{\text{8 Km}}

\text{Number of miles in 1 km}=0.625\frac{\text{ miles}}{\text{ Km}}

Therefore, there are 0.625 miles in 1 km.

To convert our given distance into miles we will multiply our given distance by number of miles in 1 km.

\text{Number of miles in 120 km}=120\text{ km}\times \frac{0.625\text{ miles}}{\text{ km}}

\text{Number of miles in 120 km}=120\times 0.625\text{ miles}

\text{Number of miles in 120 km}=75\text{ miles}

Therefore, the distance between two towns is 75 miles.

Answer:

The answer is 75, I had this question a few days ago and I got it right

Answer:75

Answer:

Balin could bench press 256 pounds.

Step-by-step explanation:

Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:

\(\frac{7}{8}x = 224\)

\(7x = 224*8\)

\(x = \frac{224*8}{7} = 256\)

Balin could bench press 256 pounds.

Answer:

d

Step-by-step explanation:

Answer:

Step 2 is incorrect.

Step-by-step explanation:

It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.

As a result of it being so accessible, we became incredibly lax over the years.

The Complete Question.

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The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Given: raise t to the 10th power then add the result to 3

Note: t is the variable here

Let's write algebraic expression now:

raise t to the 10th power => t¹⁰

then add the result to 3 => t¹⁰ + 3

Therefore, the algebraic expression is t¹⁰ + 3

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Answer:

x + 5y = 22.45

x + 7y = 25.45

Step-by-step explanation:

Given:

Customer A oil tank size = 5 quart

Customer B oil tank size = 7 quart

Total cost for A = $22.45

Total cost for B = $25.45

Find:

Equation

Computation:

So,

x + 5y = 22.45

x + 7y = 25.45

Answer:

Make a graph with bug repellent as x, and bug bites as y

Step-by-step explanation:

This just makes the most sense to me, depending on how many people use bug repellent, how many bug bites they get.

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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each pumpkin costs $10.50

63/6 = 10.5 or $10.50 and $10.50 x 2 = $21

that's all I got sorry ~(>_<。)＼

Since y varies directly with square root x, so

k is the constant of variation

We will find it using the initial values of x and y

Since the initial values are:

y = 49

x = 49

Substitute them in the rule to find k

The value of k is 7, so the equation will be

We need to find the value of y at x = 128, so

Substitute x in the rule by 128

Round it to two decimal places, so

y = 79.20

Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

Answer:

It is the first one 15 is the y intercept slope 8/1

Answer:

Domain → 0 < x < 5

Step-by-step explanation:

Sasha sells T-shirts and earns a fixed amount plus a commission by selling each shirt. (As given in the table)

Table attached shows a linear function (A regular increase in total pay with the increase in number of shirts sold)

So the input values of the table (Number of shirts sold) will represent the domain of the linear function.

Hence, reasonable domain for the function will be → 0 < x < 5