Olga saves $15 from every paycheck to save up for a new game system that cost $399. Currently, she has $360 saved. Ignoring any taxes on the purchase, how many more paychecks does she have until she has enough money saved to buy the game system?

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)

Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism

The volume of the rectangle can be epresed as ;

2*3*10 = \(600cm^3\)

The volume of the four triangular prism can be expressed as

20/4 = 5cm          10-5= 5cm

\(1/2 * 5 * 5*3*4 = 150cm^3\)

\(600- 150 =450 cm^3\)

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Step-by-step explanation:

4×sin(4t) = 4×sin(2t + 2t) =

= 4×(sin(2t)cos(2t) + cos(2t)sin(2t)) =

= 4×2×sin(2t)cos(2t) = 8×sin(2t)cos(2t)

but that did not lead anywhere near to any of the answer options.

so, i guess, you made typos in the description and in the answer options.

did you mean maybe

4×sin⁴(t) ?

sin⁴(t) = (3 - 4×cos(2t) + cos(4t))/8

4×sin⁴(t) = 4×(3 - 4×cos(2t) + cos(4t))/8 =

= (3 - 4×cos(2t) + cos(4t))/2 =

= 3/2 - 2×cos(2t) + 1/2 × cos(4t)

is that the real answer option 2 ?

then that is the correct answer.

As per the concept of line segment, the green's theorem has been proved and illustrated below.

The term line segment means a part of a line having two endpoints. Such as figures like a triangle, polygon, hexagon, square are made of different numbers of line segments and the measure of a line segment is called its length.

Here we have to prove the green's theorem to evaluate , where and consists of the arc of the curve from to followed by the line segment.

Here let us consider C be positively oriented, and the piecewise-smooth, then simple closed curve in the plane and let D be the region bounded by C. 

So, if  P and Q have continuous partial derivatives on an open region that contains D, then

=> ∫P dx+Q dy= ∬D (∂Q/dx−∂P/∂y)dA

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The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.

we have to standardize the values and utilize the standard typical dispersion table or calculator.

To discover the z-scores for 4.0 and 6.0  minutes:

z1 = (4.0 - 6.0  ) / 0.70 = 2.8

z2 = (4.5 - 6.0  ) / 0.70= 2.1

Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 2.1) = 0.4332

However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.

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When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Answer:

Triangles in Geometry

Step-by-step explanation:

Answer:

This is the transitive property of equality says that if a = b, and b = c, then a = c

Answer:

smaller value = 4yd

larger value = 8yd

Step-by-step explanation:

Let's call the garden's width and length W and L respectively.

The area of the garden is 36yd². We can write this mathematically as W*L=36

If 26yd is enough fencing to perfectly enclose the garden, then this must be the garden's perimeter. Written mathematically, this is 2W+2L=26. We can simplify this by dividing each term by two to get W+L=13

If W and L multiply to get 36, they must be both a factor pair of 36. The factor pairs of 36 (the pairs of numbers which multiply to get 36) are '1 and 36', '2 and 18', '3 and 12', '4 and 9', and '6 and 6'.

W and L must also add to 13, and the only factor pairs of 36 which add to 13 are '4 and 9' so these are our dimensions.

Answer:

smaller value = 4yd

larger value = 8yd

mark brainly

Answer:

\(\leq\) or \(\neq\) or less than

Step-by-step explanation:

negative numbers are less than positive ones. Always think about how the alligator mouth wants to eat the bigger number. You can also say that -22 is not equal to 3

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

Total amount of every money dat I have deposited

We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

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Answer: 30

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

-2y + 6 = -12

       -6     -6

-2y = -18

divide both sides by -2

y = 9

Hope this Helps!!!

Answer: y = -3

Step-by-step explanation:

The least common multiple LCM of 5/12 and 7/16 is 35/16 or 2 whole number 3/16 expressed as a mixed fraction.

The least common multiple also called LCM of two numbers is the smallest positive integer that is divisible by both numbers.

5/12 = 1/2 × 1/2 × 1/3 × 5 {expressed as product of its prime factors}

7/16 = 1/2 × 1/2 × 1/2 × 1/2 × 7 {expressed as product of its prime factors}

so their least common multiple is calculated as;

LCM = 1/2 × 1/2 × 1/2 × 1/2 × 5 × 7

LCM = 35/16

Therefore, the LCM of 5/12 and 7/16 is the fraction 35/16 or expressed as 2 whole number 3/16.

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Answer:

the answer is 92

Step-by-step explanation:

Answer:

1,178 divided by 31 is equal to 38. $38 paid each day.

(Please give me branilest)

Answer:

The coordinates of the remaining vertices are (1, -1) and (3, 1).

Step-by-step explanation:

A square is a quadrilateral with with four sides of equal length. It has two sets of parallel sides and its interior angles are all right angles.  Therefore, each vertex shares its x-coordinate with one adjacent vertex, and its y-coordinate with the other adjacent vertex.

If AC with vertices A(1, 1) and C(3, -1) is the diagonal of a square, the coordinates of the remaining vertices will be:

The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =

The given dimensions for cylinders are:

r = 1.75 in, h = 2.2 in Surface Area of Cylinder:

S = 2πr² + 2πrh

The surface area formula of a cylinder is  S = (2 * pi * \(r^2\)) + (2 * pi * r * h).

S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)

= 44.33 + 38.49

= 82.82 square inches.

Volume of Cylinder: V = πr²h

The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.

Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.

Volume = π(1.75)²(2.2)

Volume ≈ π(3.0625)(2.2)

Volume ≈ 6.7375π cubic inches

The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm

Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.

Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.

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The area of the circular plate is approximately 43.14 square inches.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

The circumference of a circle can be calculated by the formula:

C = 2πr

where C is the circumference, π (pi) is a constant value approximately equal to 3.14, and r is the radius of the circle.

We are given that the circumference of the circular plate is 23.3 inches, so we can use this information to find the radius:

23.3 = 2πr

Dividing both sides by 2π, we get:

r = 23.3 / (2π) ≈ 3.71 inches

Now that we know the radius, we can use the formula for the area of a circle:

A = πr²

Substituting the value we found for r, we get:

A = π(3.71)²

A = 3.14 × 13.76

A ≈ 43.14 square inches

Therefore, the area of the circular plate is approximately 43.14 square inches.

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The equation to find the cost of each chicken so that Tom can make $50 is option C: 4c + 5 = 50. The price at which each chicken should be sold is $11.25.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The number of chickens Tom has = 4

The amount of money Tom has = $5

The amount of money Tom wants to get = $50

Let the cost of selling each chicken be = c.

Then the cost of 4 chickens will be = 4c.

The equation to find the cost of each chicken will be -

4c + 5 = 50

Combine all the like terms -

4c = 50 - 5

4c = 45

Use the arithmetic operation of division -

c = 45/4

c = 11.25

Therefore, the cost of each chicken is $11.25.

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The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!