Find the area of the shapes below. Must show all steps includingformula and units! If needed, round your answer to the nearest tenth. This is a parallelogram

34% in decimal is equal to 0.34, which in fraction is equivalent to 34/100.

Therefore we can solve this as

x/83 = 34/100; 28.22.

Answer:

Step-by-step explanation:

Find the slope of the line using slope equation:

Use one of the points and the point-slope equation:

This can be converted to slope-intercept form:

We are given the following expression

As you can see, a mixed number is being multiplied with a negative decimal number.

First, convert the mixed number to a simple fraction then multiply with the decimal number

Now multiply it with the negative decimal number

So the resultant decimal number may be written back into the mixed form as

Therefore, the result of the given expression is -77 5/8

Answer:

- 5/2

Step-by-step explanation:

If the slope of a line is m then the slope of the perpendicular line is -1/m

The slope of y = 2/5 x is 2/5

Slope of perpendicular line = - 5/2

Answer:

Explanation:

Let's define each of the given types of numbers;

*Whole numbers are a set of all positive integers including 0. E.g 0, 1, 2,

*Integers

Given:

The length of the sides is a=18.3 cm,

The base of the triangle is b =3 cm.

Required:

We need to find the hypotenuse.

Explanation:

Use the Pythagorean theorem.

Substitute a =18.3 and b=3 in the equation.

Take square root on both sides.

Length is always positive.

Final answer:

The hypotenuse is 18.54cm.

82.26%

The ratio of baskets made by Lebron James = 255/310

To find the percentage equivalent of the ratio, multiply it by 100%

Percentage of the baskets made by Lebron James = 255/310 x 100%

Percentage of the baskets made by Lebron James = 82.26%

The distance from point A to point B is 2744.1 feet.

Define Trigonometric ratio

The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Given, horizontal distance = 1357 feet

Let h  = height of the lighthouse

tan(A) = perpendicular / base

where, perpendicular = h

base = 1357 feet

Angle is 9°

so now, put these value in trigonometric ratio

tan(9) = h / 1357

where, tan(9) = 0.1584

h = 1357 * 0.1584

h = 214.9 feet

Let d = distance from point B to the Lighthouse base

Angle is 3°

h = 214.9 feet

so, tan(3) = 214.9 / d

where, tan(3) = 0.0524

0.0524 = 214.9 / d

d = 214.9 / 0.0524

d = 4101.1 feet

Distance between point A to B = 4101.1 - 1357

                                                    = 2744.1 feet

Therefore, the distance from point A to point B is 2744.1 feet

To read more about the Trigonometric ratio.

https://brainly.com/question/25870256

#SPJ13

To know how many liters of water Bao use per liter of flour we have to divide the liters or flour so:

So Bao uses 0.33 or 1/3 of water per liter or flour

and to know hoy manu liters of flour Bao use per liter of water we have to made the oposite division so:

She use 3 liters of flour per liter of water

The probability for household with income under $75,000 is 54.5/100. the probability for household with income $50,000 or above is 72.8 /100, and the probability for household with income between $50,000 and (under) $150,000 is 64.5/100.

What is probability?

Probability describes potential. This area of mathematics examines how random events happen. The value might be between 0 and 1. Mathematicians have used probability to forecast the likelihood of certain events. In general, probability relates to how likely something is to happen. You can better understand the potential results of a random experiment by using this fundamental theory of probability, which also holds true for the probability distribution. To calculate the likelihood that an event will occur, we first need to know how many possible possibilities there are.

As given in the question,

Household with Income $50,000 are 27.2%

$50,000 - $75,000 are 27.3%

$75,000 - $150,000 are 37.2%

$150,000 or above are 8.3%

a) we have to find the probability for household with income under $75,000

So, Households having income under $75,000 are equal to:

(27.3 + 27.2)% = 54.5%

Therefore, probability = 54.5/100

b) we have to find the probability for household with income $50,000 or above,

So, household with income $50,000 or above are equal to:

(27.3 + 37.2 + 8.3)% = 72.8%

Therefore, probability = 72.8 /100

c) we have to find probability for household with income between $50,000 and (under) $150,000.

so, household with income between $50,000 and (under) $150,000 are equal to:

(27.3 + 37.2)% = 64.5%

Therefore, probability = 64.5/100

d) answer a can be interpret in percentage as 54.5%

answer b can be interpret in percentage as 72.8%

answer c can be interpret in percentage as 64.5%

To know more about probability, go to link

https://brainly.com/question/13604758

#SPJ13

To get the quotient we divide.

[tex] = 7 \div p \\ = \frac{7}{p} [/tex]

Answer:

length is 27, width is 9

Step-by-step explanation:

72/4= 18

2x27+ 2x9 = 54 + 18 = 72

thats the explanation

answer is : (5, -1)

The Solution:

The correct answer is 67 degrees.

Given the rhombus below:

We are required to find the measure of angle PRZ.

Considering trianglePRZ, we can apply the law of cosine to the angle of interest, which is, angle PRZ.

In this case,

Substituting these values in the formula, we get

Therefore, the correct answer is 67 degrees.

Answer:

1/3

Explanation:

In order to get the smallest fraction, we will need to express each of the fractions as a percentage as shown below:

For 5/12;

For 10/15;

For the fraction 1/3

For the fraction:

From the resulting percentage, we can see that the smallest among the fraction is 1/3.

The Solution:

Given:

We are required to find the value of x if the perimeter is 30 miles.

Divide both sides by 18.

Therefore, the correct answer is 2.

The given equation is expressed as

y = - 2x + 6

The x intercept of a line is the point at which y = 0

By applying this concept, it means that

0 = - 2x + 6

Adding 2x to both sides of the equation, it becomes

0 + 2x = - 2x + 2x + 6

2x = 6

Dividing both sides by 2, it becomes

2x/2 = 6/2

x = 3

Therefore, the correct option is (3, 0)

The area of a triangle is given by:

in this case b=9.5 and h=15. Plugging the values in the formula we have:

Therefore the area is 71.25 square

Applying the vertical angles theorem and other properties, the value of x is 20. The reason for each statement has been explained below.

A pair of vertical angles are formed when two straight lines intersect each other at a common point. The angles that face each other directly are vertical angles and they are congruent or equal to each other.

Given the diagram below, to find the value of x, the following are the each reason that justifies each of the statements in each step:

Statement                                              Reasons                                      

1. m∠DOB = m∠DOE + m∠BOE            1. Angle Addition Postulate

2. m∠DOB = 90 + x                               2. Substitution

3. m∠AOC = m∠DOB                            3. Vertical Angels Theorem

4. 110 = 90 + x                                        4. Substitution

5. x =  20                                                5. Algebra

To solve using algebra, step 4 is solved as explained below:

110 - 90 = 90 + x - 90

20 = x

x = 20.

Therefore, applying the above steps and reasons that includes the use of vertical angles theorem, the value of x is determined to be: x = 20.

Learn more about vertical angles on:

https://brainly.com/question/14362353

#SPJ1

Simplify the expression.

Thus, the equation is solved.

The coordinates of W'X'Y'Z' are W'(5, 25), X'(30, 25), Y'(30, 60) and Z'(5, 10) respectively.

Given that, polygon WXYZ has vertices W( 1, 5 ), X( 6, 5), Y( 6, 10), and Z(1, 10).

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

We know that, scale factor = Dimension of the new shape ÷ Dimension of the original shape

Dimension of the original shape W'= 5(1, 5) = (5, 25)

X' =5(6, 5) = (30, 25)

Y' =5(6, 10) = (30, 60)

Z' =5(1, 10) = (5, 10)

Therefore, the coordinates of W'X'Y'Z' are W'(5, 25), X'(30, 25), Y'(30, 60) and Z'(5, 10) respectively.

To learn more about the dilation visit:

https://brainly.com/question/13176891.

#SPJ1

7. (3 X 10) X 8 = 3 X (10 X 8)

In this case, we use the associative property of the multiplication (you can group the factors in any way).

8. 16 + 31 = 31 + 16

Commutative property.

9. 0 + 91 = 91

Identity property

10. 21 x 9 = 9 X 21

Commutative property

11. The income is (20 * 18) * 5.

We can multiply the three numbers together, using the associative property.

20 * 18 * 5 = 1800

12. In this case, we have to add each of the groups:

26 + 19 + 34 + 21 = 100

We don't need to apply any properrty in particular. We can add them in any order taking into account the commutative property.

The rectangular painting is 3 feet shorter in length than in height.

Let "x" represent the painting height, then its length can be expressed as "x-3"

12.

The area of the rectangular painting can be calculated by multiplying its length by its height.

For the painting

h=x

l=x-3

-Replace the formula with the expressions for both measurements:

-Distribute the multiplication on the parentheses term:

The polynomial that represents the area of the painting is:

13.

The perimeter of a rectangle is calculated by adding all of its sides, or two times its length and two times its height. You can calculate the perimeter of the painting as follows:

We know that

h=x

l=x-3

Then the perimeter can be expressed as follows:

-Distribute the multiplication on the parentheses term:

-Order the like terms together and simplify them to reach the polynomial:

14.

The painting has the unique quality of having an area that is equal to the value of the perimeter, then we can say that:

-Replace this expression with the polynomials that represent both measures:

To solve the expression for x, first, you have to zero the equation, which means that you have to pass all therm to the left side of the equation. Do so by applying the opposite operation to both sides of the equal sign.

We have determined the following quadratic equation:

Using the quadratic formula we can calculate the possible values for x. The formula is:

Where

a is the coefficient that multiplies the quadratic term

b is the coefficient that multiplies the x term

c is the constant of the quadratic equation

For our equation the coefficients have the following values:

a=1

b=-7

c=6

Replace these values in the formula and simplify:

Next is to calculate the addition and subtraction separately:

-Addition

-Subtraction

The possible values of x, i.e., the possible heights of the painting are:

x= 6ft

x=1 ft

15.

To determine the extraneous solution created when the area was set equal to the perimeter you have to calculate the corresponding length for both possible values of the height:

For the height x= 1ft, the corresponding length of the painting would be -2ft. This value, although mathematically correct, is not a possible measurement for the painting's length since these types of measures cannot be negative.

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

7/11% can be written as:

So 7/11% of a quantity is equal to 7/1100 fraction of a quantity ​

Answer:41/10,000

7/17% = 0.41% = 0.0041

41/10,000

Step-by-step explanation:

To solve the exercise you can use the rule of three, like this

Therefore, Curt and Melanie should use 0.45 quarts of yellow paint to make seafoam green paint.

Answer:

Step-by-step explanation:

use the quadratic formula

5x^2-4x-6

4+-[tex]\sqrt{16+120}[/tex] all over 10

4+-[tex]2\sqrt{34}[/tex]/10

2+-[tex]\sqrt{34}[/tex]/5

D

Given

Table which ahows an inspectors measurement of the lengths of four bridges

Find

Order from shortest to longest lengths of bridges.

Explanation

First we convert the lengths of Bridges in improper form , then in decimal form.

so , O has shortest length and M has longest length.

Final Answer

Therefore ,

the order from shortest to longest is

Bridge O , Bridge N , Bridge P and Bridge M , so the correct option is 1

Width(w) = 2 feet

Length (L)= 6w = 6(2) = 12 feet

a. Table = 2 x 12

b: Perimeter of a rectangle:

P = 2w+ 2L = 2(2)+2(12) = 4+24 = 28 feet

Answer

GH is congruent to JH and FH is congruent to HI. ∠GHF should be congruent to ∠JHI by Vertical Angles Theorem. Since GH is congruent to JH, ∠GHF is congruent ∠JHI, and FH is congruent is congruent to HI, ΔGHF is congruent ΔJHI, by SAS. Then one can assume that FG is congruent to IJ by CPCTC.