Triangle ABC is an equilateral triangle with vertices at A(-2,2), B(1,5), and C(-3,6) (Round your answers to the nearest hundredth, 2 decimal places) . a) (2 pts) Determine the length of a side of the triangle. b) (2 pts) Calculate the perimeter of the triangle. c) (2 pts) Now increase the triangle by a scale factor of 4. How long is each side now? d) (2 pts) What is the perimeter of the new triangle? e) (2 pts) What is the area of the original triangle?

Answer:

After buying the meal and the computer game, Kristian has 43.33% of his money left.

Step-by-step explanation:

Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:

72 = 100

8.40 + 32.40 = X

72 = 100

40.80 = X

40.80 x 100/72 = X

4,080 / 72 = X

56.66 = X

100 - 56.66 = 43,333

Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.

Answer:

THE ANSWER IS 54

Step-by-step explanation:

Step-by-step explanation:

123,546,789 > 123,456,789

Answer:

59y+1

Step-by-step explanation:

25 + 8 (7y - 3) + 3y

Distribute

25+56y-24+3y

Combine like terms

59y+1

Answer:

C. -7 or C. Negative seven

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Explanation:

There are n = 7 sides to this polygon (so it's a heptagon)

The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.

So that means,

69+284+62+62+242+81+a = 900

800+a = 900

a = 900-800

a = 100

Answer:

27.3

Step-by-step explanation:

3.9 x 7

=>(4 - 0.1) x 7 (USING DISTRIBUTIVE PROPERTY)

=>28 - 0.7

=>27.3

Answer:

(4,5)

Step-by-step explanation:

Hi there!

We are given the system of equations:

5x+2y=30

-5x+4y=0

and we need to find the solution

there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable

When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively

5x+2y=30

-5x+4y=0

add the equations together

6y=30

divide both sides by 6

y=5

we found the value of y

now we need to find the value of x

substitute 5 as y into either one of the equations (ex. the first one) to solve for x

5x+2(5)=30

multiply

5x+10=30

subtract 10 from both sides

5x=20

divide both sides by 5

x=4

so the answer is x=4, y=5; as a point, it's (4,5)

Hope this helps! :)

Answer:

b is 12.99

Step-by-step explanation:

The probability that the last one is not an orange if you do not replace the first and second fruits will be equal to 0.054.

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given information in the question,

The total number of fruits as per the data is,

4 apples + 6 pear + 3 oranges + 9 peaches = 21 fruits.

As per the statement, the first fruit is from 21 fruits.

There are 3 apples, so the probability will be,

3/21 = 1/7

The second fruit is from 20 fruits,

21 - 1 = 20

There are 9 peaches, so the probability will be,

9/20

The third fruit is from 19 fruits, so there are 16,

19 - 3 = 16

These fit the bill (not oranges), so the probability will be,

16/19.

So,

1/7 × 9/20 × 16/19

= 36/665

= 0.054

To know more about Probability:

https://brainly.in/question/54143022

#SPJ2

Answer:

36

Step-by-step explanation:

9/16 = 20.25/?

16x20.25÷9= 36

Answer:

HCF X LCM= product of two numbers

14 x 840 = 42 x other number

other number= 14x840/42=280

Answer:

4.  3 units

5. Triangle  

6.  (0,2)

Step-by-step explanation:

4. The distance between the x axis and the point (8,3) is 3 units

5. Triangle  will be formed if the points A(-3, 0), B (0,3) and C (3,0) are joined together

6. Since the point lie on the y-axis, its x co-ordinate will be zero and the point will be (0,2)

Answer:

1590

Step-by-step explanation:

1500 x 0.02

= 30

30 x 3

= 90

1500+90 = 1590

(ps.. there was an equation for this i just forgot it, you can look it up and check it)

Answer:   I think it is A or C

hope this helps!

Step-by-step explanation:

Answer:

B. 1690.5 million VND

Step-by-step explanation:

Half of the perimeter of a rectangular piece of land is equal to 21 m

The full perimeter of the Land = 2 × 21m

= 42 m

Step 1

Find the Length and Width of the rectangle

Perimeter of a rectangle = 2L + 2W

Length is twice its width.

L = 2W

Hence:

42 = 2(2W ) + 2W

42 = 4W + 2W

42 = 6W

W = 42/6

W = Width = 7m

L = Length = 2W

L = 2 × 7

L = 14m

Step 2

Find the Area of the Land

Area of the rectangle = Length × Width

= 14m × 7m

= 98m²

Step 3

Given that 1 m² of the piece of land

costs 17.25 million VND. If someone wants to buy it, he or she has to

pay:

1m² = 17.25 million VND

98m² = x

Cross Multiply

1 m² × x = 98m² × 17.25 million VND

x = 1690.5 million VND

Option B is the correct answer

Answer:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Step-by-step explanation:

Primero definamos los simbolos utilizados.

∧ significa "y"

∼ es el simbolo de la negación, es decir:

∼p significa "no p"

terminemos de resolver el problema para que el concepto quede claro.

si:

p = cinco es mayor que diez  (5 > 10)

entonces:

∼p = cinco es menor o igual que diez   (5 ≤ 10)

y

q = dos más dos son cuatro. (2 + 2 = 4)

entonces:

∼p∧q se escribe como:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Answer:

It would be 4 or C.

Step-by-step explanation:

Hope this helps!

Good Luck!

:)

Given:

Two chords intersect each other inside the circle.

To find:

The value of x.

Solution:

According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to  the product of two segments of second chord.

In the given circle,

[tex]AE\times CE=BE\times DE[/tex]

[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]

[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]

[tex]15x^2-67x+44+x^2-15x-34=0[/tex]

[tex]16x^2-82x+10=0[/tex]

Divide both sides by 2.

[tex]8x^2-41x+5=0[/tex]

Splitting the middle term, we get

[tex]8x^2-40x-x+5=0[/tex]

[tex]8x(x-5)-1(x-5)=0[/tex]

[tex](8x-1)(x-5)=0[/tex]

Using zero product property, we get

[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]

[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]

For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.

Therefore, the required solution is [tex]x=5[/tex].

Answer:

12

Step-by-step explanation:

Since they are parallel then

(7x - 8) + (11x - 28) = 180

18x - 36 = 180

18x = 216

x = 12

B. |y| = 1.6

A sketch of the vector is attached to this response.

As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.

Where;

|x| = v cos θ              -----------------(i)

|y| = v sin θ               -----------------(ii)

and

v = magnitude of the vector = 2.5km/hr

θ = angle that the vector makes with the +x axis = 90° + 50° = 140°

To get the magnitude of the vector's vertical component

Substitute these values into equation(ii) as follows;

|y| = 2.5 sin 140°

|y| =  2.5 x 0.6428

|y| = 1.607

|y| ≅ 1.6 km/hr

Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.

Answer:

13.5m

Step-by-step explanation:

The boy is 1.5m tall so you subtract that by 15m and you get 13.5m

Answer:

[tex]A_X=\frac{15x^2}{16}[/tex]

Step-by-step explanation:

From the question we are told that:

Base of Flower bed [tex]b=\frac{x}{2}[/tex]

Height of Flower bed [tex]h=\frac{x}{4}[/tex]

Generally the equation for Area of garden left A_X is mathematically given by

 [tex]A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f[/tex]

Where

 [tex]A_f=b*h[/tex]

 [tex]A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}[/tex]

 [tex]A_f=\frac{x^2}{16}[/tex]

Therefore

 [tex]A_X= A_g - A_f[/tex]

 [tex]A_X=x^2-\frac{x^2}{16}[/tex]

 [tex]A_X=\frac{15x^2}{16}[/tex]

Answer:

I think it is 2 points for this .

Answer:

4×4=16

Step-by-step explanation:

four squared is a two dimension polygon with a four equal side of four length unit.

Answer:

4×4=16

Step-by-step explanation:

Answer:

9x20 = 180

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Answer:

jennifer won 15 time and mark won 24

if the answer is wrong i am really sorry