UV ≅ ST, QR ≅ PQ, QT ≅ QU, and PV ≅ RS. Complete the proof that ∠V ≅ ∠S.

Answer:

  a) 4(8019) +3s ≥ 70000

  b) yes

Step-by-step explanation:

Diego has walked an average of 8019 steps per day for 4 days and wants to walk 70000 steps in a week. You want an inequality for the average number of steps per day that Diego must walk for the last 3 days of the week, and you want to know if 12642 is a solution.

The inequality will express the relationship between the steps walked and the goal. Let s represent the average number of steps walked each day for the last 3 days of the week.

The total number of steps walked in the first 4 days is the average per day times the number of days: 4(8019). The total number of steps walked in the last 3 days is the average per day times the number of days: 3s.

The total for the week is the sum of these. We want that to exceed 70000:

  4(8019) +3s ≥ 70000 . . . . . . . the desired inequality

Solving for s, we find ...

  3s ≥ 7000 -4(8019)

  3s ≥ 37924 . . . . . . . . . subtract 32076

  s ≥ 12641 1/3 . . . . . . . . divide by 3

The offered number, 12642, is greater than 12641 1/3, so is a solution.

Diego will meet his goal if he averages 12642 steps per day for the last 3 days of the week.

__

Additional comment

If Diego's 3-day average is 12462, he will have walked 70002 steps for the week, a number that is more than 70000.

Answer:

27.7 min

Step-by-step explanation:

In 6 minutes the truck will be 6 miles ahead of the car....

   the car is going 13 mph faster and will cover this 6 miles in

     6 mi / 13 mi/hr = .4615 hr =27.7 min

The probability that the card is between four and eight (inclusive) or is a club is 4/13.

Probability helps us to know the chances of an event occurring.

The number of cards can be written as,

The number of cards between 4 and 8 is 3 {4,5,6,7,8}.

   Number of club cards = 13

   Number of cards between 4 and 8 from heart, spades, and diamonds = 15

Now, the probability that the card is between four and eight (inclusive) or is a club is,

Probability = desired outcomes / total number of outcomes possible

= (Number of club cards+ Number of cards between 4 and 8)/(Total number of cards)

= (13+15)/(52)

= 28/52

= 4/13

Hence, the probability that the card is between four and eight (inclusive) or is a club is 4/13.

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If the length of the side PR is 7 feet. Then the perimeter of the triangle ΔPQR will be 17 feet.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The perimeter of the triangle is determined by adding together all of its sides.

The triangles ΔPQR and ΔSTU are congruent triangles. Then we have

PR = SU

3y - 2 = y + 4

3y - y = 2 + 4

2y = 6

y = 3

Then the value of the side PR is given as,

PR = 3(3) - 2

PR = 9 - 2

PR = 7 feet

Then the perimeter of the triangle ΔPQR is calculated as,

P = 4 + 6 + 7

P = 17 feet

If the length of the side PR is 7 feet. Then the perimeter of the triangle ΔPQR will be 17 feet.

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Answer:

78.8

Step-by-step explanation:

You will find 5 rare trading cards if you bought 110 packs of trading cards

Given that:

The chances of finding a rare card in a pack of trading cards can be represented with the equation y equals one twenty-second times x.

Thus, we can the equation as:

y = (1/22)x

To determine the number of rare trading cards if you bought 110 packs of trading cards, substitute x = 110 into the equation:

y = 1/22 × 110

y = 5

Therefore, you will find 5 rare trading cards if you bought 110 packs of trading cards

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Answer:

Step-by-step explanation:

y = the number of rare trading cards found

x = the number of packs of trading cards

1/22 = the probability of finding a rare card per pack

Equation

y = 1/22(x)

y = 1/22(110)

y = 110/22

y = 5

There is a chance of finding 5 rare cards in 110 packs of trading cards.

The length of rectangle is 20cm and width is 12cm.

Let the length is x cm and width is y cm.

then perimeter 2(x+y) =64 cm

=> x+y = 64/2 = 32

=> x + y = 32 .............(1)

and according to question twice the width is 4cm more than length so,

2y = x + 4

=> 2y -x = 4 .............(2)

now we add these two equation to find the value of x and y.

3y = 36

=> y = 12

now put the value of y on any equation to find value of x ,

x +12 = 32

=> x = 32 -12 = 20

so, the length of rectangle is 20cm and width is 12cm.

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Tan A + Cot A = 2 Cosec 2A.

It is a simple TRIGNOMETRY question, which is directly based on their formulas.

In this question we have one side of formula either LHS or RHS and we have to find other,

Tan A + Cot A

we know Tan A = sin A /Cos A  and Cot A = cos A / sin A

So by putting this in place of  Tan A + Cot A we get,

⇒ (sin A / cos A) + (cos A / sin A)

⇒ (sin∧2 A + cos∧2 A) / cos A sin A

⇒1/ cos A sin A

⇒2/2cos A sin A

⇒ 2/Sin 2A

⇒ 2 Cosec 2A

Hence, the question is simplified.

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Answer:

TOTAL NUMBER OF TADPOLES = (5m + 7) + (3m+ 18)

Step-by-step explanation:

They ask you "elect any expressions that could represent the total number of tadpoles that you and your friend can catch.​"

then you need the SUM of both.

TOTAL NUMBER OF TADPOLES = (5m + 7) + (3m+ 18)

Step-by-step explanation:

you can find it by using the arc formula?

Answer: r > 30

Step-by-step explanation:

Answer:

idek

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

If 7 people equally share 1/2 a pan of macaroni and cheese, each person will get 1/2 / 7 = 1/14 of the pan.

To find the fraction of the pan that each person gets in terms of the whole pan, we can multiply the fraction 1/14 by the denominator of the fraction representing the whole pan. If the whole pan is represented by 1 pan, the fraction representing each person's share would be 1/14 * 1 = 1/14 of a pan.

So, each person would get 1/14 of a pan of macaroni and cheese.

Answer: 1/14

Step-by-step explanation:

1/2 / 7 = 1/14≅ 0.07142857

Answer:

O A. 3, 11, 23, 21

OB. 7, 17, 29

OC. 2, 3, 5

OD. 2, 5

Step-by-step explanation:

Answer:

  (a)  √8

Step-by-step explanation:

You want to know the radical equivalent to 2^(3/2).

The relationship of indices to radicals is ...

  [tex]\large{\sqrt[n]{a^m}}={a^{\frac{m}{n}}[/tex]

The given expression can be rewritten as ...

  [tex]2^{\frac{3}{2}}=\sqrt[2]{2^3}=\boxed{\sqrt[2]{8}}[/tex]

__

Additional comment

When the index of the radical is 2, it is usually left off. The radical can be simplified by removing the perfect square factor.

  [tex]\sqrt[2]{8}=\sqrt{8}=2\sqrt{2}[/tex]

Nominal and ordinal categorical variables are the two different types.

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Answer:

b

step by step explanation

By using fraction, it can be calculated that

30 boards are required to cover a floor of width 205 inches wide

What is fraction?

Suppose there is a collection and a part of collection has to be taken.

The part which is taken is called fraction. In other words part of a whole is called fraction.

The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

This is a word problem on fraction

Width of each board = [tex]6\frac{5}{6}[/tex] inches = [tex]\frac{41}{6}[/tex] inches.

Total width of floor = 205 inches.

Number of boards required = [tex]205 \div \frac{41}{6}[/tex] = [tex]205 \times \frac{6}{41}[/tex] = 30

30 boards are required

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The answer is the Theoretical probability is higher than the Experimental probability.      

Experimental probability:

The basis for experimental probability is what actually happens. It is dependent on the outcomes of several tests or experiments.

It is calculated by repeatedly recreating the event, recording the outcomes, and then converting the outcomes into a ratio or decimals.

Experimental probability =  No of times event occurs/ No of trials

Theoretical Probability:

Theoretical probability is derived from a theory or what is predicted to occur. It is based on information and math.

It is determined by dividing the total number of outcomes by the proportion of favorable results. Either convert it to decimal form or leave it as a ratio or fraction.

Theoretical probability = No of favorable outcomes/ No of outcomes

Here we have

Tami rolled a die 20 times

14 times it landed on an even number;

6 times it landed on an odd number.  

The die rolled for an odd number

As we a die will have 6 faces

Number of odd numbers = 3       [i.e 1, 3, 5 ]                    

Number of even numbers = 3    [ i.e 2, 4, 6 ]

⇒ Theoretical probability = 3/ 6 × 100 = 50%

The die is rolled 20 times, 6 times it landed on an odd number.

⇒ Experimental probability =  6 / 20 = 30%

As we can see,

The theoretical probability is higher than the Experimental probability.

Therefore,

The answer is the Theoretical probability is higher than the Experimental probability.  

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There are 523 units did she produced.

What is paycheck?

Traditionally, an employer would issue a paper document known as a paycheck—also spelled pay cheque, pay check, or pay cheque—to pay an employee for services rendered.

Businesses pay their employees for their work through paychecks. Bi-weekly and semi-monthly delivery schedules are the most typical ones, though this can change depending on the employer's preferences and any applicable state laws and regulations.

Given that:

Piecework pay = $465.47

Price per unit = 89 cents = $0.89

Number of units=$x

Let,

Total piecework pay = Price per unit x number of items sold

                   $465.47 = 0.89 x x

                               x = 523

Hence, there are 523 units did she produced.

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Answer:

4

Step-by-step explanation:

20% = 40

10% = 20

100% = 200

200 * .02 = 4

The value of 2% of that number is,

⇒ 4

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

20% of a number is 40.

Let the number = x

Hence, We get;

⇒ 20% of x = 40

⇒ 20/100 × x = 40

⇒ 1/5 × x = 40

⇒ x = 200

Thus, The value of 2% of that number is,

⇒ 2% of 200

⇒ 2/100 x 200

⇒ 4

Thus, The value of 2% of that number is,

⇒ 4

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Answer:

1.42 liters is the correct answer

It is demonstrated that log3 (7) is irrational using unique factorization for integers theorem and the definition of logarithm.

If a contradiction is rational, then log3(7) = a/b for some a,b∈R .

In which, b≠0 will be true.

As a result, 7 = 3ᵃ/ᵇ according to the definition of logarithms.

7 = 1*7 is unique according to the unique factorization theorem.

Thus, it is demonstrated that log3 (7) is irrational using unique factorization for integers theorem and the definition of logarithm.

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a) The probability that both are girls is of: 21/150.

b) The probability that both are from the same school is of: 0.7333 = 73.33%.

The probabilities are obtained as the division of the number of desired outcomes by the number of total outcomes.

For item a, the outcomes are given as follows:

Hence the probability that both are girls is of:

p = 7/15 x 3/10 = 21/150.

The probability that the two boys are from the same school can be given by these two cases:

Then the probability is of:

p = 8/15 x 7/14 + 7/10 x 6/9 = 0.7333 = 73.33%.

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1 meter and 59 centimeters.

The longest side in a right triangle is called the hypotenuse. In other terms, the hypotenuse is the side that faces the right angle.

theorem of Pythagoras

[tex]a^{2} +b^{2} = c^{2}[/tex]

A is a right triangle's side.

B is the right triangle's side.

c = hypotenuse

Think of a right triangle where the height and distance are the legs and the hypotenuse is the rope.

We are aware that:

cos(45°) =x/10

cos(30°) =y/10,

where x represents the distance between the ship and the dock at low tides and y represents the distance during high tides.

We are searching for the y-x distance difference (since it will be farther away during high tides).

Using the previous equations:

x=cos(45°) and y=cos(30°)

Hence:

y - x = 10(cos(30°) - cos(45°))

Hence, the exact value of the distance is 10(cos30° - cos45°)

Using a calculator, this is approximately 1.59 meters.

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The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Answer:

p=24/528

Step-by-step explanation:

4+2p=10(53p-2)

4+2p=530p-20

24+2p=530p

24=528p

24/528=p

-First question:

To calculate the number of liters, the number of roofs must be multiplied by the amount of waterproofing used for each roof.

To multiply the fractions, transform the mixed fractions to improper:

[tex]\begin{gathered} \sf1 \frac{1}{4} \times 4 = \\ \\ \sf \frac{4 \times 1 + 1}{4} \times \frac{4}{1} = \\ \\ \sf \frac{4 + 1}{4} \times \frac{4}{1} = \\ \\ \sf\frac{5}{4} \times \frac{4}{1} = \\ \\ \sf \frac {5 \times 4}{4 \times 1} = \\ \\ \boxed{ \sf \frac{ \red{20}}{ \red4}} = \sf \blue5\end{gathered}[/tex]

So you need five liters of waterproofing to get the job done.

-Second question:

To calculate the number of liters; It must be subtracted from the number of liters you need in total, which you already had or had:

[tex]\begin{gathered} \sf5 - 2 \frac{1}{4} = \\ \\ \sf \frac{5}{1} - \frac{4 \times 2 + 1}{4} = \\ \\ \sf\frac {5}{1} - \frac{8 + 1}{4} = \\ \\ \sf \frac{5}{1} - \frac{9}{4} = \\ \\ \sf\frac{4 \div 1 \times 5 - 4 \div 4 \times 9}{4} = \\ \\ \sf \frac{20 - 9}{4} = \\ \\ \boxed{ \sf \frac{11}{4}} = \boxed{ \sf \blue2 \: \: \blue{\sf\frac{3 }{4} }}\end{gathered}[/tex]

So, you need two whole and three quarter liters of waterproofing.