Polygon ABCD has the following vertices:

A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)

Calculate the area of the polygon.

28 units squared
38.5 units squared
40.5 units squared
49 units squared
get it right because i can check and i'll not give you brainlyest
:)

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left

5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5

Frame calculation process in your words but the final answer is each child ate 5 cookies.

Answer: The missing dimension of the rhombus in the given figure is Height of rhombus h  h=A/b=90/15= 6cm. so missing dimension is h=6cm

What is Dimension ?

In general, dimension refers to the measurement or size of an object, space, or quantity along a particular axis or direction. In mathematics, dimension refers to the number of coordinates needed to specify a point in a space.

What is Rhombus ?

A rhombus is a type of quadrilateral (a four-sided polygon) in which all four sides are of equal length. It is a special case of a parallelogram in which the opposite sides are parallel to each other, and its opposite angles are equal.

In the given question,

area of rhombus is A=b*h  so it can be rewritten as  h=A/b by substituting values given in question we get h= 6cm

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Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer:

$28 dollars is the new cost

Step-by-step explanation:

$40 - 30% = $28

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

no

Step-by-step explanation:

there are just not the same.  :b

The rectangle A is not transformed to B because the shape of both the rectangles is different.

The process of changing the location of the image on the coordinate system will be known as the translation. A rectangle is defined as a two-dimensional shape having four-sided and opposite sides equal and parallel.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

From the above definitions, it is clear that the in the transformation of the objects the size of the objects does not changes. In dilation, the size of the object can be changed.

Therefore, rectangle A is not transformed to B because the shape of both rectangles is different.

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The proportion of students who chose popcorn will be 14/33.

From the information, the frequency table shows the number of students selecting each type of

food.

The number of people who choose popcorn = 14

Total number of people = 33

Therefore, the proportion of students chose popcorn will be:

= 14/33

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Answer:

0.42

Step-by-step explanation:

The prove of the given trigonometric function is given below.

The given trigonometric function is,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x))

Now proceed left hand side of the given expression:

We can write the expression  as,

⇒[(sin²(x))² - (cos²(x))²]/(sin²(x) - cos²(x))

Since we know that ,

Algebraic identity:

a² - b²  = (a-b)(a+b)

Therefore the above expression be

⇒(sin²(x) - cos²(x))(sin²(x) + cos²(x))/(sin²(x) - cos²(x))

⇒(sin²(x) + cos²(x))

Since we know that,

Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities include one or more trigonometric functions (such as sine, cosine, and tangent).

Then,

sin²(x) + cos²(x)² = 1 is an trigonometric identity

Hence,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x)) = 1

Hence proved.

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Answer:

2 days

Step-by-step explanation:

You would have to change 7/4 to have the same common denominator as 7/8, which is 8. 7/4 is equal to 14/8, or 1 6/8. Then you would subtract 1 6/8 by 7/8. What would be left would be 7/8. And of course, 7/8 minus 7/8 would be 0.

Hope this help you

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

The best deal is 12 rolls for $10.80

Step-by-step explanation:

2.97 divided by 3= $0.99 No

12 rolls for $10.80= $0.90 = $21.6 for 24 rolls

20 rolls for $18.40=$0.92=

0.92 times 4= $3.68

18.40+$3.68=$22.08 for 24 rolls

#1

\(\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}\)

\(\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}\)

\(\\ \rm\Rrightarrow WX/2=10\)

\(\\ \rm\Rrightarrow WX=20\)

Again

#2

\(\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}\)

\(\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}\)

\(\\ \rm\Rrightarrow FG=10\)

Answer:

WX = 20

FG = 10

Step-by-step explanation:

If EFGHI ~ VUTXW

then:

The only pair of sides that both have measures is EF and VU

EF = 8

VU = 16

VU/EF = 16/8 = 2

Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.

As HI = 10

⇒ WX = 10 × 2 = 20

As UT = 20

⇒ FG = 20 ÷ 2 = 10

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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Answer:

x = 44.80

Step-by-step explanation:

Apply trigonometric function to find x.

Reference angle = 52°

Opposite side to reference angle = x

Adjacent side = 35

Apply TOA:

Tan 52° = Opp/Adj

Tan 52 = x/35

35 × Tan 52 = x

44.7979571 = x

x = 44.80 (to 2 decimal places)

Answer:

x=-2y-6

coefficient of y is 2

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:4 dimes

Step-by-step explanation:

14x5=70(cent)

110-70=40

40 more cent is needed

40 divided by ten (How much a dime is worth)

4, Quinn has 14 nickels and 4 dimes.

The following weights (in pounds) are within 1.5 units of the standard deviation of the mean:

A. 4.4

B. 4.6

D. 5.2

E. 6.9

F. 7.6

The mean weight of the chickens in this population is 6.3 pounds, and the standard deviation is 1.2 pounds. To be within 1.5 units of the standard deviation, we need to look at the range of weights that are 1.2 +/- 1.5, which is 4.7 to 7.9 pounds.

This means that the weights within this range are 4.4, 4.6, 5.2, 6.9, 7.6, and any other weights that fall within the range. Therefore, the weights within 1.5 units of the standard deviation of the mean are:

A. 4.4, B. 4.6, D. 5.2, E. 6.9, and F. 7.6.

The standard deviation measures the spread of the data from the mean. In this case, the mean is 6.3 pounds and the standard deviation is 1.2 pounds. This means that the data points on either side of the mean will be 1.2 pounds away from it.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &4 \end{cases} \\\\\\ A=500[1+(0.03)(4)]\implies A=500(1.12)\implies A=560\)

Answer:

-3(6/8+9/8)+4 2/5

Step-by-step explanation:

You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.

Answer:

64.94

Step-by-step explanation:

(49.95•30%)+49.95

Answer:

$71.36

Step-by-step explanation:

100-30=70

70÷100=0.7

49.95÷0.7=71.35715286

71.36

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

First analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.

Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let

An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be

A = I( 1 - R%)^t

Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula

A = 0.9 ( 1 - 1.15/100)^60

A = 0.9 ( 1 - 0.0115)^60

A = 0.9 ( 0.9885)^60

A = 0.9 x 0.4995

A = 0.45 grams

Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

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Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).