For the triangle formed by vertices (3, 5), (2, 1), and (5, 2), calculate the perimeter. This is what the triangle would look like.
Using the Pythagorean Theorem (2 + 2 = 2), please calculate the perimeter, or the sum of the three sides, of the triangle.
Then, calculate the area by finding the area of the orange rectangle and subtracting the outer rectangles

Answer:

Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always

Step-by-step explanation:

3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.

2x + 2x + 80 = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 25º

so then:

2x = 2*25

2x = 50º

and:

2x + 80 = 50 + 80

2x + 80 = 130º

Answer:

Step-by-step explanation:

cost of 1 almirah = $ 2345

cost of 12 such almirah = 2345 x 12.

= $28140...ans

Answer:

Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points

Step-by-step explanation:

1=17

2=97

Answered:

1 = 17

2 = 97

Answer:

25 x 40 = 1000

1210 - 1000 = 210

210 / 45 = 4.66 hours

Step-by-step explanation:

Answer:

the number is 7

9•7=63

2•7=14

63-49=14

Answer:

7

Step-by-step explanation:

Answer:

least to greatest- -1.25, -2/3, 2.75, 4, 9/2

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

24/(3/4) = 32

24/ (6/5) = 20

24/(4/15) = 90

Answer:

15 degrees

Step-by-step explanation:

It is a right angle!

61 + 14 = 75

90 - 75 = 15

Hope this helps!!! :))

Answer:

Step-by-step explanation:

multiply by 6

4-24x+21=-54x+5

54x-24x=5-4-21

30x=-20

x=-20/30=-2/3

Using quadratic function concepts, it is found that:

a) The value of a is -2000.

b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

c) Between 140 and 160 computers need to be produced.

The profit is modeled by:

[tex]y = a(x - 100)(x - 200)[/tex]

Item a:

If 120  computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.

[tex]y = a(x - 100)(x - 200)[/tex]

[tex]3200000 = a(120 - 100)(120 - 200)[/tex]

[tex]-1600a = 3200000[/tex]

[tex]a = -\frac{3200000}{1600}[/tex]

[tex]a = -2000[/tex]

The value of a is -2000.

Item b:

We first place the quadratic function into standard form, thus:

[tex]y = -2000(x - 100)(x - 200)[/tex]

[tex]y = -2000(x^2 - 300x + 20000)[/tex]

[tex]y = -2000x^2 + 600000x - 40000000[/tex]

Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].

Then, we have to find the vertex:

[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]

[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]

The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.

Item c:

We are working with a concave down parabola, hence the range is between the roots of:

[tex]y = -200x^2 + 600000x - 40000000[/tex]

[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]

[tex]-200x^2 + 600000x - 44800000 = 0[/tex]

The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].

Then:

[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]

[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]

[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]

Between 140 and 160 computers need to be produced.

A similar problem is given at https://brainly.com/question/24705734

Answer:

18

Step-by-step explanation:

The solution set of the equation will be;

⇒ x = 18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''2/3 of a number is 12."

Now,

Since, The expression is,

''2/3 of a number is 12."

Let a number = x

So, We can formulate;

⇒ 2/3 of x = 12

⇒ 2/3 × x = 12

⇒ 2x = 12 × 3

⇒ 2x = 36

⇒ x = 36/2

⇒ x = 18

Thus, The solution set of the equation will be;

⇒ x = 18

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Answer:

the answer would be 35...

Step-by-step explanation:

Dont know how to explain it on here

Answer:

a. yes

b. yes

c. yes

d. no

a.

Solve the equation by rearranging

-2 + x = 0

x = 2

b.

If x < 2, x - 2 will always be negative

x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true

c.

If x > 2, x - 2 will always be positive

d.

If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2

These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2

Answer:

250

Step-by-step explanation:

Amount she earns = 750

amount she spend = ⅘ of 750 = ⅘×750= 600

amount she saves = 750-600

Shola saves $150 every month.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.

Given:

Shola earns $750 every month.

She spends 4/5 of her salary.

That means,

4/5 of $750.

And 4/5 of $750 = 4/5 x 750

                            = 4 x 150

                            = 600

She spends $650 per month.

Saved amount,

= $750 - $600

= $150

Therefore, $150 is her monthly savings.

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Answer:

0.85

Step-by-step explanation:

P(E)+P(E')=1

SO, P(E')=1-P(E)

OR,P(E')=1-0.15

PLEASE MARK MY ANSWER AS BRAINLIEST.

= 0.85

Answer:

241gv

Step-by-step explanation:

hope it helps please mark me as brainliest

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Answer:

No solution

One solution

Many solutions

One solution

Step-by-step explanation:

Let's use y = mx + b

m = coefficient (or slope)

b = constant ( or y-intercept)

If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross

If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution

Equal coefficients and constants is correct, there would be infinite solutions

Different slopes and different y-intercepts would make them cross randomly one, so one solution

Hope this helped! Comment if it does or not :)

Answer: Triangle = 0

Square = 2

Pentagon = 4

Step-by-step explanation:

If you replace the shapes with the numbers you should see that it works.

I used Trial and error.

Answer:

The divisor is called a factor of the dividend.

Step-by-step explanation:

Hope this helps

(Brainliest is appreciated)

Answer:

If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.

Step-by-step explanation:

Hope this helps :)

Answer:

- x(- 8x^2 + 3x)

8x^3 - 3x^2

Answer:

"The ratio of the number of cats to dogs is 3:5. How many dogs would there be if there were 12 cats?"

Reworded, this says that "for every 3 cats there are 5 dogs."  Or else you could say, "for every 5 dogs there are 3 cats."

You are given the number of cats=12.  For every 3 cats there are 5 dogs."  That means 50 dogs.

 (3 cats) / (5 dogs) = (12 cats) / (x dogs)

  3 / 5 = 12 / x

   3x = 5*12

    3x = 60

      x = 20 dogs

Or you could write:

  (5 dogs) / (3 cats) = (x dogs) / (12 cats)

    x = 20 dogs.

Step-by-step explanation:

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0.To start the room contained 20 dogs.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

According to a revised version, "there are 5 dogs for every 3 cats." Alternatively, you may say, "There are 3 cats for every 5 dogs."

You are informed that there are 12 cats. There are 5 dogs for every 3 cats. That's fifty dogs.

3 cats divided by 5 dogs equals 12 cats (x dogs)

3 / 5 = 12 / x

3x = 5*12

3x = 60

x = 20 dogs

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Answer:

7 1/

6

≅ 7.1666667

Step-by-step explanation:

Hope this helps :)

i think the answer is 4 7/12

Answer:

When you make a payment on a simple interest loan, the payment first goes toward that month's interest, and the remainder goes toward the principal. Each month's interest is paid in full so it never accrues.

Step-by-step explanation:

Answer:

Danielle sent 554 text messages that month.

Step-by-step explanation:

In Oct she owed: $8 + 60¢

Because 15¢ = 1 additional message => 60¢ = 4 additional messages

So Danielle sent 550 messages (=$8) and 4 additional messages (=  60¢)

=> She sent: 550 messages + 4 additional messages = 554 messages

Hope this helps!

The relationship between airplane 1 and airplane 2 is an illustration of objective function

14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

Represent P1 and P2 with x and y, respectively.

From the question, we ave have the following parameters:

                    x             y           Minimum

First class   20          18                400

Tourist        50          30               900

Economy    110          44              1500

Cost        10000      85000

So, the objective cost function to minimize would be:

C = 10000x + 8500y

And the constraints are:

20x + 18y ≥ 400

50x + 30y ≥ 900

110x + 44y ≥ 1500

x, y ≥ 0

Next, we plot the graphs of the constraints

From the graph (see attachment), we have the following feasible solutions

(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}

Substitute these values in the objective function.

C(5,22) = 10000 * 5 + 8500 * 22 = 237000

C(9,13) = 10000 * 9 + 8500 * 13 = 200500

C(14,7) = 10000 * 14 + 8500 * 7 = 199500

The minimum value is:

C(14,7) = 199500

Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost

Read more about objective function at:

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Answer:

5,625

Step-by-step explanation:

divide 3375 by 3 and get 1125 now multiply that by two and get 2250. Add 3375 by 2250 to get 5625 students

Answer:

Step-by-step explanation:

A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .