whats the same as 2/9

The area and the perimeter of the rectangle is found as 13.12 sq. unit and  21.77 units respectively.

For the given question;

To find the perimeter of the rectangle ABCD, first find the length of the sides.

Using the distance formula, find the length DA and DC,

DA = √(x2 - x1)² + (y2 - y1)²

Put the coordinate of the point D and A.

DA = √(8 - 1)² + (2 - 0)²

DA = √49 + 4

DA = √53 units.

Now, length DC

DC = √(3 - 1)² + (3 - 0)²

DC = √4 + 9

DC = √13 units.

For the rectangles;

DA = CB = √53 units.

DC = AB =  √13 units.

Perimeter = DA + CB + DC + AB

Perimeter = 2√53 + 2√13 units

Perimeter = 2(√53 + √13) units.

Perimeter = 21.77 units.

Area = (1/2) base × height

Area  = (1/2) CB × CD

Area  = (1/2) × √53 × √13

Area = 26.24/2

Area = 13.12 sq. unit.

Thus, the area and the perimeter of the rectangle is found as 13.12 sq. unit and  21.77 units respectively.

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The fishing boat traveled for 14 hours before the cruise ship caught up.

In this question, we have been given Max and his family chartered a fishing boat that left Florida and traveled towards the Bahama Islands at an average speed of 10 km/hour.

After some time, a cruise ship left traveling in the same direction but at an average speed of 14 km/hour.

The cruise ship caught up with the fishing boat after traveling for 10 hours.

Let a cruise traveled 'm' km after 10 hours.

Using the formula of speed,

speed = distance / time

14 = m / 10

m = 14 * 10

m = 140 km

This means, a cruise traveled 140 km in 10 hours.

Now, we find the time needed for a fishing boat to cover 140 hours.

speed = distance / time

10 = 140/t

t = 140 / 10

t = 14 hours

Therefore, the fishing boat traveled for 14 hours before the cruise ship caught up.

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first the sum of all angles of in triangle is 180 degree.

x+(3x+25)+(x-5)=180

x+3x+25+x-5=180

4x+25+x-5=180

4x+x+25-5=180

5x+20=180

5x=180-20

5x=160

x=32 degree and

the angle of G is 3(32)+25=121 degree

Answer:

x = 25°

Step-by-step explanation:

Hello!

If the angles are vertical, the measures of the angles are equal.

Vertical angles are formed by the intersection of two lines, and are non-adjacent angles. The measures of the two angles are equal to each other.

We can set up an equation for x, and solve for it.

The value of x is 25°.

As you can see in the stem-and-leaf plot, the box with the most numbers is

And in this box, the number that is repeated the most is 1. So that, the data that is repeated the most is 21.

Therefore, the mode of the data set is 21.

The value of x from the given function is 60.

Given that, the x value equals 7 times the y value, plus 18 more.

A function in math means a correspondence from one value x of the first set A to another value y of the second set B. It relates inputs to outputs.

Now, the x value equals 7 times the y value, plus 18 more

x=7y+18

Put y=6 in the obtained function, that is

x=7(6)+18

⇒ x = 42+18

⇒ x = 60

Therefore, the value of x from the given function is 60.

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Any number that can be written as a fraction and in which the numerator and denominator are both integers is referred to as a rational number. In other words, p/q can be used to represent a rational number when p and q are both integers and q is 0. It will be 0.25 and 0.5.

Hence, the  rational numbers will be 0.25 and 0.5.

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Answer:

First one is a function, second one is not, since it assigns more than one y value for x values.

Step-by-step explanation:

A function means for every x value, at most 1 y value exists. This is clearly not the case for the bottom figure. You can test it with an imaginary vertical line. There should be zero or one intersections.

Answer: d=50+20w

D(deposit) = 50(starting amount)+20(added amount)w(multiply 20 by the amount of weeks, 12, and this is your equation.)

When a scale of 1 inch to 40 miles apart then distance = 112 miles .

We have been give that

If 1 inch = 25 miles,

Then 2.8 inches would be 25 miles multiplied by 2.8 since each of those 2.8 inches is 25 miles.

2.8 x 25 = 70.

70 miles.

The same two cities be on a map that has a scale of 1 inch to 40 miles

Then 1 inch= 40 miles,

then 2.8 inches would be 40 miles multiplied by 2.8 since each of those 2.8 inches is 40 miles.

2.8 x 40 = 112.

112 miles.

Hence , Distance equals 112 miles when measured on a scale of 1 inch to 40 miles apart.

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ANSWER :

He should use 110 cc of 10% solution

EXPLANATION :

Note that the percent solution is the amount of salt divided by the total volume or quantity.

From the problem, 40 cc of a 70% saline solution.

The amount of salt is 0.70(40) = 28 cc

Another solution is "x" cc of 10% saline solution.

The amount of salt is 0.10x cc

When added together, the total volume is 40 + x

and the amount of salt is 28 + 0.10x

The resulting solution is 26% saline solution.

So we can have :

Substitute the results :

Answer:

36000

Step-by-step explanation:

I think its that because the 20% of 180000 is 36000

After simplification this 5√3(2√3−3√7) we get, -38.71

5√3(2√3−3√7) is a linear equation.

What is linear equation?

An equation between two variables that, when plotted on a graph, produces a straight line or say first degree equation is known as linear equation.

Let's simply this 5√3(2√3−3√7)

=> 5√3 * 2√3 - 3√7 * 5√3

=> 5*2*√3*√3 - 3 * 5 √7 * √3

=> 10 * 3 - 15 * 1.732 * 2.645

=> 30 - 68.717

=> -38.717 or -38.71

Therefore, the value of  5√3(2√3−3√7), after simplification we get  -38.71

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Mia, this is the solution:

4 = 2 * 2

14 = 2 * 7

Therefore, we have:

2 = two ocurrences (the higher number)

7 = one ocurrence

LCM = 2 * 2 * 7

LCM = 28

Answer:

[tex]\frac{15}{2}[/tex]

Step-by-step explanation:

8 - [tex]\frac{1}{2}[/tex]

= [tex]\frac{16}{2}[/tex] - [tex]\frac{1}{2}[/tex]

= [tex]\frac{15}{2}[/tex]

Answer:

The answer is  17/2

Step-by-step explanation:

You get that by multiplying the whole number 8 by the denominator of the fraction, and that will be equal to 16 and the 1 from the numerator of the fraction 1/2, so the equation will look like 16+1=17. Your new numerator  17.

Answer:

(f - g)(x) = 2x³ + 7x² - 7x - 3

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x³ + 7x² - 4x - 5 - (3x - 2) ← distribute parenthesis by - 1

= 2x³ + 7x² - 4x - 5 - 3x + 2 ← collect like terms

= 2x³ + 7x² - 7x - 3

The formula for calculating the total surface area of a rectangular pyramid using its length, width, and height is provided as T.S.A. = lw + l[(w/2)2 + h2] + w[(l/2)2 + h2], where l is the length of the rectangular base, w is its width, and h is its height.

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Given:

Given the equation y = x - 2

Required: Classify it as direct variation, inverse variation or neither.

Explanation:

Two variables x and y show direct variation when they satisfies y = ax or y/x = a, where a is non-zero.

Similarly, two variables x and y show inverse variation when they satisfies y = a/x or xy = a, where a is non-zero.

Here, the equation y = x - 2 is in neither of the form y = ax or y = a/x.

So, y = x - 2 show neither direct nor inverse variation.

Final Answer: y = x - 2 show neither direct nor inverse variation.

Applying the midsegment theorem, the length of segment SR is: 6 units.

The Midsegment theorem states that if a segment is draw to connect the two midpoints of two sides of a triangle together, it is parallel to the third side of the triangle and also has a length measure that is half of the length of the third side of the triangle.

Segment SR is the midsegment of the triangle given and is parallel to the third side, FD.

SR = 2x - 14

FD = x + 2

Therefore:

SR = 1/2(FD) [midsegment theorem]

Substitute

2x - 14 = 1/2(x + 2)

2(2x - 14) = x + 2

4x - 28 = x + 2

4x - x = 28 + 2

3x = 30

x = 30/3

x = 10.

Length of SR = 2x - 14 = 2(10) - 14

Length of SR = 6 units

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Answer:

12 units

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

2(2x-7) = 22

4x - 14 = 22

4x = 36

x = 36/4

x = 9

The price per person attending is 104 .

If a variable's highest power is always 1, an equation is considered to be linear. As a one-degree equation, it also goes by that name. An equation with one variable that has the usual form Ax + B = 0 is a linear equation. A coefficient, B is constant, and x is a variable in this situation. An equation with two variables that has the usual form Ax + By = C is a linear equation. Both a B are factors, C is a standard, and the variables in this solution are x and y. Linear equations are defined as equations with the maximum degree of 1. A linear equation cannot have a variable with an exponent greater than 1, according to this rule. A straight line is formed on the linear equation graph.

C = 14p + 90

Here p = 1 cause per person

So,

C = 14 (1) + 90

C = 104

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The step 3 follow the subtraction property of equality.

Given,

The Equation is : 1/4 (12x + 8) + 4 = 3

There is some steps:

Step                          Solution

   1                          3x + 2 + 4 = 3

   2                           3x + 6 = 3

   3                              3x = -3

   4                                 x = -1

To find the which step shows the result of applying the subtraction property of equality?

Now, According to the given steps:

From the table, we can know

From Step 2: 3x + 6 = 3

 Subtract 6 on both sides

3x + 6 - 6 = 3 - 6

3x = -3

Hence, The step 3 follow the subtraction property of equality.

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The women with mass of 50.6 Kg burns 85 calories more per day then predicted.

A residual is defined as something that remains after other items have been used, taken away, or discarded. The paint that is left over after every room in a house has been painted is an example of residue.

Residuals are crucial in assessing a model's quality. Remainings can be investigated in terms of their size and/or if they exhibit a pattern. When all of the residuals are 0, the model makes perfect predictions. The model is less accurate the further the residuals are from 0.

Given:

body mass= 50.6 Kg

Metabolic rate= 1502

Now, residual

= 1502 - 1416.8806

= 85.1194

Hence, the women with mass of 50.6 Kg burns 85 calories more per day then predicted.

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The expression 2n + 1 will produce both odd and even numbers based on the choice we have made.

Expression:

An expression is a mathematical expression consisting of numbers, operations, and one or more variables.

Given,

Suppose n represents an integer. Then the next integer can be  represented by the expression n+1.

Here we need to write the linear equation for these two consecutive integers.

Then we have to use the expression to make an argument about whether the sum of any two consecutive integers is even or odd.

Let n represents the first integer and n+1 is the second integer.

Then the linear equation for these two consecutive integer is

=> n + (n + 1)

=> 2n + 1

Now we have to take the value of n and n + 1 as, 2 and 3,

Then we apply the value to the expression,

=> 2(2) + 3

=> 4 + 3

Similarly, if we take the value as 5 and 6,

Then we get,

=> 2(5) + 6

=> 10 + 6

=> 16

So, based on the given details the equation givens both odd and even number based on the number our choices.

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Answer:

Below in bold.

Step-by-step explanation:

The sum of 17 terms is 107.1.

Sn = (n/2)[2a + (n-1)d]   where a = first term and d = common difference

(17/2) (2a + (17-1)(-4)) = 107.1

8.5(2a -64) = 107.1

17a - 544 = 107.1

17a = 651.1

a = 38.3 = First term

The last term is the 17th so

L = a + (n - 1) d

  = 38.3 + 16*-4

  = -25.7.

As x and y vary inversely as each other , if x=7 then y =  -8/7.

in the question ,

it is given that

x and y vary inversely ,

So , x * y = k

given that , when x = 4 , the value of y = -2 .

Substituting , 4 * (-2) = k

k = -8

so , the constant of variation (k) = -8 .

in order to find value of y when x = 7 ,

we substitute x=7 and k = -8 in the relation xy = k

we get , 7 * y = (-8)

Dividing both sides by 7 we get

7y/7 = -8/7

on simplifying we get ,

y = -8/7

Therefore , as x and y vary inversely as each other , if x = 7 then y = -8/7 .

The given question is incomplete , the complete question is

If y varies inversely as x, and y = -2 when x = 4 find y when x = 7  .

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Answer:

12.649

Step-by-step explanation:

we can use Pythagoras to solve this; simply by forming a triangle of the difference between the x and y values. (I added a lil-sketch of it).

So, we just need to find the length of the two sides:

Vertical side: 12

Horizontal side: 4

Thus;

[tex]4^{2} + 12^{2} = c^{2} \\160 = c^{2}\\Side c is equal to 12.649 (in whatever unit given)[/tex]

it should be 14 students i think

Yield testing is a technique for figuring out the precise quantity of raw materials required to make a specific quantity of finished product.

Therefore, yield testing is a method of determining the precise amount of raw materials needed to produce a certain amount of the final product.

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