30 points!!!!! Please help me with the statements and reasoning please!!!

Step-by-step explanation:

that's for roman I.......

Answer:

232423

Step-by-step explanation:

Answer:

11 & 13 or - 13 & - 11

Step-by-step explanation:

Let the integers are a - 1 and a + 1.

Sum of squares = 290

=> (a - 1)² + (a + 1)² = 290

=> a² + 1² - 2a + a² + 1² + 2a = 290

=> 2a² + 2 = 290

=> 2(a² + 1) = 290

=> a² + 1 = 290/2 = 145

=> a² = 145 - 1 = 144

=> a = ± √144 = ± 12

If a = + 12, numbers are

12 - 1 = 11 & 12 + 1 = 13

If a = - 12, numbers are

- 12- 1 = - 13 & - 12 + 1 = - 11

Answer:

not sure if there are more but a=-5

Step-by-step explanation:

|a+5|=-5-a

|-5+5|=-5 - - 5

|-5+5| = -5 + 5

| 0 | = 0

0=0

Answer:

5-5=0+5=5 so the answer is five

Answer:

124 is your answer to the question

Step-by-step explanation:

Answer:

$6.90

Step-by-step explanation:

The tip should be $6.90 because you take the 10% tip and turn that into a decimal (0.10) and just multiply that by the bill.

Answer:

1. First, we need to find the area of the rectangle, then subtract the non-shaded region from the total of the rectangle's area.

Area of rectangle formula;

A = LW

Where 'L' represents the length, and 'W' represents the width.

Plug in your values:

A = LW

A = 8(13)

A = 104, now that we've found the area of this total rectangle, we need to find the area of the triangle and subtract that from the area of the rectangle.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, and 'H' represents the height and 1/2 is just 1/2.

But, if we look at this triangle we can see that we don't have the base.

So what we have to do is subtract the given side lengths beside it (which you add up) from the total width.

Given length beside unknown base: 4 and 4

So, (4 + 4) = 8, and the total width is 13.

So: 13 - 8 = 5, 5 is our base.

Now we plug these into our formula:

A = BH x 1/2

A = 5(6) x 1/2

A = 30 x 1/2

A = 30/2, which equals to 15.

Now we subtract the non shaded region(triangle) from the shaded region(total area of rectangle).

104 - 15 = 89 meters.

2. In this figure, we find the area of the whole triangle, not considering the small empty vertical-positioned rectangle to the bottom left corner.

Let's find the total base and total height.

As we can see, in the bottom triangle the height is 4, the other triangle has a height of 5. Combine these to get (4 + 5) = 9 is our total height of the whole triangle.

Now we find the base, 5 is the base of the bottom triangle and the other triangle has a base of 2, combine these to get: (5 + 2) = 7 is the total base of the whole triangle.

Now plug these into our formula of area of triangle;

A = BH x 1/2

A= 7(9) x 1/2

A = 63/2

A = 31.5, is the area of the whole triangle.

Now let's find the area of the empty rectangle to our bottom left corner.

Our length is 4, our width is 2.

A = LW

A = 4(2)

A = 8

Now subtract the empty rectangle's area from the total area of the triangle:-

31.5 - 8 = 23.5 inches.

3. We can see that in this figure, there is an empty semi circle(that has no area) apart of a square.

So to find the area of the unfinished square, we find the area of the semi circle and subtract it from the total area of the square.

Formula for area of a circle:

A = π[tex]r^{2}[/tex]

Where 'π' represents pi aka (22/7 or 3.14), and 'r' represents the radius which is being squared.

But if we were to find the area of a semi circle, we would have to divide the whole formula of a regular circle by 2.

So, A = π[tex]r^{2}[/tex]/2

Now, we plug in the values showing in the diagram into our equation.

Though, since we are given a diameter of 6, we need to find the radius which is 1/2(half) of the diameter.

SO,

1/2 x 6 = 3.

Now that we have our radius, we can finally plug this into our equation:-

A = π[tex]r^{2}[/tex]/2

A = 3.14(3^2)/2

A = 3.14(9)/2

A = 28.26/2

A = 14.13, is our area of the semi circle.

Now we have to find the total area of the square, which we easily just multiply the two lengths.

6(length) x 6(width)

= 36, is the area of the total square.

Now we subtract the area of the semi circle from the area of the total square:

36 - 14.13 = 21.87 feet.

4. To find the area of this, we must split the figure into two shapes, a rectangle and a semi circle.

Using the formulas we applied to our past problems;

(Rectangle)

A = LW

A = 20(8)

A = 160, is the area of the rectangle

Now the semi circle (ignore the 12.56, because it's just the circumference):

We have to find the radius, (1/2 x diameter), so: (1/2 x 8) = 4 is our radius.

A = π[tex]r^{2}[/tex]/2

A = 3.14(4^2)/2

A = 3.14(16)/2

A = 50.24/2

A = 25.12, is the area of the semi circle.

Now we add the two areas,

160 + 25.12 = 185.12 feet.

5. We split this figure into two shapes, a rectangle and a triangle.

Using the formulas we applied earlier to our past problems.

(Rectangle)

A = LW

A = 14(12)

A = 168, is the area of the rectangle.

(Triangle)

A = BH x 1/2

A = 8(12) x 1/2

A = 96 x 1/2

A = 96/2

A = 48, is the area of the triangle.

Now we add these areas;

168 + 48 = 216 centimetres.

Answer:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. ... The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(2x + 5)(x + 3)(x − 1)=0

Use null factor law to solve for x

solution -V=πr2h=π·32·2≈56.54867

answer-V≈56.55

Answer:

1.28

is the answer :) since the number after 7 is 5 you round up

Answer: 1.28

The 7 is in the hundredth's place, and since there is a 5 after it, we round up.

[tex]\longrightarrow[/tex]In a matrix the the the position of an element is determined by using a[tex]_{ij}[/tex] where i the number of row and j is number of column in which the element is.

[tex]\leadsto[/tex]Since 6 is in 2nd column and 2nd row , it's position can be written as a[tex]_{22}[/tex]

Comparing with a[tex]_{ij}[/tex]

Check the picture below.

Coordinates of point D of parallelogram = (3 , -4)

A parallelogram is quadrilateral in which opposite angles are equal and opposite sides of the quadrilateral are equal and parallel to each other.

The Diagonals in the parallelogram bisect each other.

Given points

A(-4,-6), B(-10, -10), C(-3, -8)

Let the 4th point D = (x , y)

In a parallelogram, diagonals bisect each other.

midpoint of BD = midpoint of AC

If two points are (x₁ , y₁) and (x₂,y₂)

then midpoint = {(x₁+x₂)/2 , (y₁+y₂)/2}

midpoint of AC = {(-4 + -3)/2 , (-6 + -8)/2}

                         = {-7/2 , -7}

midpoint of BD = {(-10 + x)/2 , (-10 + y)/2}

Now,

midpoint of BD = midpoint of AC

{-7/2 , -7} =  {(-10 + x)/2 , (-10 + y)/2}

Comparing both sides

taking x -coordinate

(-10 + x)/2 = -7/2

Multiplying with 2 on both sides

-10 + x = -7

x = 3

taking y -coordinate

(-10 + y)/2 = -7

Multiplying with 2 on both sides

-10 + y = -14

y = -14 + 10

y = -4

Point D (x , y) = (3, -4)

Hence, (3, -4) are the coordinates of point D of parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/29147156

#SPJ2

Answer:

12 baskets

Step-by-step explanation:

We solve this question using the Greatest Common Factor method.

We are told that:

There are

24 bottles of shampoo

36 tubes of hand lotion

60 bars of soap.

The same number of each item should be in each basket.

The greatest number of baskets is calculated as follows:

Step 1

We find the factors of 24, 36, 60

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Step 2

We Identify the number that is greatest and common amongst 24, 36 and 60

This is 12.

Then the greatest common factor is 12

Therefore, the greatest number of baskets is 12 baskets

Answer:

yes and b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

it goes from 3 to 5

Answer: 80 m, 150 m, 170 m

Step-by-step explanation:

Answer:

4.3989

Step-by-step explanation:

bec we will do 3.999 +10% and this should give us the right answer

The fence would cover the perimeter of the triangle.

The perimeter is the sum of the 3 sides:

120 + 80 + 50 = 250 meters.

There will be a 3 meter space for the gate, so subtract 3:

250 - 3 = 247 meters of fence is needed.

Now multiply the amount of fences needed by the price per meter:

247 x 20 = Rs 4,490

Answer:

x= -7

Step-by-step explanation:

subtract 139 from both sides

x-139-139=x

132-139= -7

Answer:

14/81

Step-by-step explanation:

you plug in 5 for x

Answer:0.583

7/12 as a decimal is equivalent to 0.583.

Step-by-step explanation:

Answer:

0.583

Step-by-step explanation:

in this case we must divide the numerator by the denominator ie.(7÷12)

Answer:

51

Step-by-step explanation:

3(b+8)

3(9+8)

3(17)

51

Answer:

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Step-by-step explanation:

Let

x = number of nickels

y = number of dimes

z = number of quarters

Total worth of the coins = $41.45

Total number of coins = 361

x + y + z = 361 (1)

dime = $0.1,

nickel = $0.05

quarter = $0.25

0.05x + 0.1y + 0.25z = 41.45 (2)

twice as many dimes as quarters.

y = 2z

Substitute y = 2z into (1) and (2)

x + 2z + z = 361

0.05x + 0.1(2z) + 0.25z = 41.45

x + 3z = 361

0.05x + 0.2z + 0.25z = 41.45

x + 3z = 361 (3)

0.05x + 0.45z = 41.45 (4)

Multiply (4) by 20

x + 3z = 361 (3)

x + 9z = 829 (5)

Subtract (3) from (5)

9z - 3z = 829 - 361

6z = 468

Divide both sides by 6

z = 468 / 6

= 78

z= 78

Recall,

y = 2z

= 2(78)

= 156

y = 156

Substitute the value of y and z into

x + y + z = 361

x + 156 + 78 = 361

x + 234 = 361

x = 361 - 234

= 127

x= 127

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Answer:

You end up with $15,091.44 This means you earned $12,531.44

Step-by-step explanation: