What are two numbers that add to 45 and multiply to 500

Answer:

So you have:

$10 bills --- 9

$1 bills ---- 9

$0.10 ----- 9

The maximum amount of change that you can give is al of that together.

9*$10 + 9*$1 + 9*$0.10  = $99.90

(supposing that a person only hands you a $100 bill because he needs to have smaller bills for something).

The minimum change that you can give is just a dime, so it is $0.10

If you need to give $0.07 to someone, you should give him a dim ($0.10)

Because is the smaller that you have, and if we round $0.07 it would be rounded up to $0.10.

Step-by-step explanation:

hope helps you

have a nice day

Answer:

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gkgkhhkStep-by-step explanation:

Answer:

-2 is the answer

Step-by-step explanation:

y=mx+b

b= y intercept

because it is a negative it replaces the addition sign so that it is not a positive 2.

Answer: 3,086.96 ft²

Step-by-step explanation:

First, we will find the area of her square backyard.

       A = L²

       A = (60 ft)²

       A = 3,600 ft²

Next, we will find the area of this fountain.

The diameter (6 feet) divided by 2 is equal to the radius.

       A = πr²

       A = (3.14)(6 ft)²

       A = 113.04 ft²

Lastly, we will subtract the fountain area and the flowerbed area from the grass backyard area. You have already found the flowerbed area correctly, (10 ft * 10 ft) * 4 = 400 ft²

       3,600 ft² - 400 ft² - 113.04 ft² = 3,086.96 ft²

Answer:

Step-by-step explanation:

3y + 10= 5y-25

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

that's

3y - 5y = - 25 - 10

Simplify

- 2y = - 35

Divide both sides by - 2

Hope this helps you

Answer:

y=35/2 or 17.5

Step-by-step explanation:

1) 3y + 10= 5y-25

-3y          -3y

2) 10 = 2y - 25

3) 10 = 2y - 25

  +25        +25

35= 2y

4)Divide both sides by 2

y=35/2 or 17.5

Answer:

  264 cm²

Step-by-step explanation:

You want the area of a polygon composed of a 12 cm square with triangles of height 5 cm attached to each side.

The area of the square is the square of its side lenght:

  A = s²

  A = (12 cm)² = 144 cm²

The area of the four triangles is ...

  A = 4 × (1/2bh)

  A = 4 × 1/2(12 cm)(5 cm) = 120 cm²

The total area of the composite figure is ...

  A = square area + triangle area

  A = 144 cm² +120 cm² = 264 cm²

The area of the polygon is 264 cm².

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The corresponding values for the triangle in the larger circle are;

1. Perimeter of Δ BSH = 71.4 cm

2. The measure of ∠SBH = 102°.

3.  The area of Δ BSH = 41.54 cm²

4. The length of the circumference of circle B = 52.275 cm

1. The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides. Since OB/OA = 4.25, we have:

Perimeter(Δ BSH) = Perimeter(Δ ARG) × 4.25

Perimeter(Δ BSH) = 16.8 cm × 4.25 = 71.4 cm

2. Since the triangles are similar, their corresponding angles are congruent. Therefore, ∠SBH = ∠RAG = 102°.

3. The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding sides. Since OB/OA = 4.25, we have:

Area(Δ BSH) = Area(Δ ARG) × (4.25)²

Area(Δ BSH) = 2.3 cm² × (4.25)² = 2.3 cm² × 18.0625 = 41.54 cm²

4. The ratio of the circumferences of similar circles is equal to the ratio of their radii or diameters. Since OB/OA = 4.25, we have:

Circumference(circle B) = Circumference(circle A) × 4.25

Circumference(circle B) = 12.3 cm × 4.25 = 52.275 cm

The above answers are in response to the following questions below;

Dante created the following measurements and calculations:

He then made the following measurements and calculations:

He calculated the ratio OB = 4.25.

                                      OA

He measured the perimeter of Δ ARG, and found it to be 16.8 cm.

He measured ∠RAG = 102°.

He calculated the area of Δ ARG, and found it to be 2.3 cm2.

He calculated the circumference of circle A, and found it to be approximately 12.3 cm.

He would now like to calculate corresponding values for the triangle in the larger circle, and he needs your help.

Calculate the following, using your knowledge that all circles are similar, along with the data already collected by Noah..

5. Find the perimeter of Δ BSH.

6. Find the measure of ∠SBH.

7. Find the area of Δ BSH.

8. Find the length of the circumference of circle B.

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Answer:

C- Every term in pattern B is 5 times the corresponding term in pattern A.

Step-by-step explanation:

First, to see the pattern you should divide the terms of A with the corresponding term in B:

In the options, there is a choice that has the number 1/5, but... Read carefully, it says that EVERY TERM OF B IS 1/5 TIMES THE IT'S THE CORRESPONDING TERM IN A.

The one that we found as 1/5 is the opposite, every term of A is 1/5 times the corresponding term in B.

To find what is the true statement, there are different ways to follow, but the simplest could be dividing the B terms into their corresponding A term:

The correct answer will be that every term in pattern B is 5 times the corresponding term in pattern A.

Hope it helps!!

Matrix:-

\(\\ \sf\longmapsto \left[\begin{array}{ccc}\sf 2 &\sf -7 &\sf 4\\ \sf 1&\sf -3 &\sf 3\end{array}\right]\)

Answer: 237

Step-by-step explanation:

Ok we can write 426 as:

400 + 20 + 6

Then the 2 in 426 is in the place of the tens and represents a 20.

If we want a number with a 2 that is 10 times greater than 20, we have that:

10*20 = 200.

Then we should find a number with a 2 in the hundreds place, an example can be:

237

where we can write this number as:

237 = 200 + 30 + 7

and the 2 is in the hundreds place.

Answer:

135

Step-by-step explanation:

135+45=180, and supplementary angles always equal 180

Answer:

The answer is 135

Step-by-step explanation:

Definition of supplementary angles: either of two angles whose sum is 180°, so 180 - 45 = 135!

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Answer:

What is the question?

Step-by-step explanation:

Answer:

where is the question

Step-by-step explanation:

Answer:

  23.  42 m^2

  24.  144 ft^2

  25.  68 cm^2

Step-by-step explanation:

The teacher should not need to spend any time teaching this. The area of the total figure is the sum of the areas of its parts. You already know that. And, you already know how to compute the areas of triangles and rectangles.

__

You may recall that the area of a triangle is ...

  A = 1/2bh

and the area of a rectangle with the same base and height is ...

  A = bh

So, a triangle with base b and height h has the same area as a rectangle with the same base (b) and half the height (h/2). Recognizing this makes these problems really simple.

__

23. The base of the rectangle and triangle is 7 m. The height of the triangle is 4 m, so its area is equivalent to adding 4/2 = 2 m to the 4 m height of the rectangle. Then the total area is ...

  A = (7 m)(4 m +(1/2)(4 m)) = (7 m)(6 m) = 42 m^2

__

24. Since there are two identical triangles of height 5, their total area is equal to that of a rectangle of height 5.

  A = (12 ft)(7 ft +5 ft) = 144 ft^2

__

25. The 5 cm height of the triangle makes it have an area equivalent to a rectangle 5/2 cm high.

  A = (8 cm)(6 cm +5/2 cm) = 68 cm^2

Note: we have read the fuzzy numbers as 8 cm wide, 6 cm high for the rectangle, and 5 cm high for the triangle. If your figure is different, please use the appropriate numbers in the calculation.

Answer:

the bench costs $350 and the table costs $444

Step-by-step explanation:

Answer:

PC = 9.6 units (nearest tenth)

Step-by-step explanation:

Tangent

A straight line that touches a circle at only one point.

The tangent of a circle is always perpendicular to the radius.

Two-Tangent Theorem

If two tangents to a circle meet at one exterior point, the tangent segments are congruent.

Therefore:

Find the measure of QC by using the cos trigonometric ratio.

Cos trigonometric ratio

\(\sf \cos(\theta)=\dfrac{A}{H}\)

where:

From inspection of the given diagram:

Substitute the given values into the formula and solve for QC:

\(\implies \sf \cos(29^{\circ})=\dfrac{QC}{11}\)

\(\implies \sf QC=11\cos(29^{\circ})\)

\(\implies \sf QC=9.620816779...\)

\(\implies \sf QC=9.6\:\:units\:(nearest\:tenth)\)

As PC = QC then PC = 9.6 units (nearest tenth).

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At the fidelity credit union, the mean number of customers who arrive hourly at the drive-through window is 4.9. It is required to determine the probability of fewer than 1 customer arriving in any hour.

Answer: 0.00796.

The solution to this problem is discussed below:

The given information implies that the mean value of the Poisson distribution, λ = 4.9.

In a Poisson distribution, the probability of x occurrences during a particular interval is given by:

P(x; λ) = e–λ λx / x!

Where e is approximately equal to 2.71828.

Let x = 0 since we need the probability of less than 1 customer in an hour.

P(x < 1) = P(x = 0) + P(x = 1) + P(x = 2) + …P(x < 1) = e-4.9 4.90 / 0!P(x < 1) = e-4.9 1P(x < 1) = 0.00796

The probability of fewer than 1 customer arriving in any hour is 0.00796 (rounded to four decimal places)

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Answer:

a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²

Step-by-step explanation:

a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have

P = 2(L + W)

100 = 2(L + x)

dividing both sides by 2, we have

100/2 = L + x

50 = L + x

making L subject of the formula, we have

L = 50 - x

Now, the are of a rectangle A = LW. Substituting the values of L and W, we have

A = LW

A = (50 - x)x

A = 50x - x²

b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.

So, dA/dx = d(50x - x²)/dx

dA/dx = d50x/dx - dx²/dx

dA/dx = 50 - 2x

dA/dx = 0 ⇒ 50 - 2x = 0

50 = 2x

dividing both sides by 2, we have

x = 50/2

x = 25

To find it this gives maximum value for A, we differentiate A twice.

d²A/dx² = d(50 - 2x)/dx

d²A/dx² = d50/dx - d2x/dx

d²A/dx² = -2

Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.

Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in

So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²

The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²

Option B) If the sum of the squares of the two short sides equals the square of the longest side

When 1/3 is the dividend and 3 is the divisor, the quotient is 1/12.

Dividend/Divisor is the quotient.

Divide the dividend by the divisor to obtain the quotient.

Here, Dividend = 1/4

Divisor = 3

Divisor/Dividend =(1/4)/3 = 1/12

So, when 1/3 is the dividend and 3 is the divisor, the quotient is 1/12.

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a) The minimum value of the function f(x) = xcos(x) in the range 0 ≤ x ≤ 5 is approximately -4.92, and it occurs at x ≈ 3.38.

b) The maximum value of the function f(x) = xcos(x) in the range 0 ≤ x ≤ 5 is approximately 4.92, and it occurs at x ≈ 1.57 and x ≈ 4.71.

To find the minimum and maximum values of the function f(x) = xcos(x) in the specified range, we need to evaluate the function at critical points and endpoints.

a) To find the minimum, we look for the critical points where the derivative of f(x) is equal to zero. Taking the derivative of f(x) with respect to x, we get f'(x) = cos(x) - xsin(x). Solving cos(x) - xsin(x) = 0 is not straightforward, but we can use numerical methods or a graphing calculator to find that the minimum value of f(x) in the range 0 ≤ x ≤ 5 is approximately -4.92, and it occurs at x ≈ 3.38.

b) To find the maximum, we also look for critical points and evaluate f(x) at the endpoints of the range. The critical points are the same as in part a, and we can find that f(0) ≈ 0, f(5) ≈ 4.92, and f(1.57) ≈ f(4.71) ≈ 4.92. Thus, the maximum value of f(x) in the range 0 ≤ x ≤ 5 is approximately 4.92, and it occurs at x ≈ 1.57 and x ≈ 4.71.

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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The most appropriate graphical representation for the grams of fiber from 1,000 different breakfast cereals sold in the United States is given as follows:

Histogram, because there is a large set of data.

A histogram is a graphical representation of the distribution of numerical data. It consists of a series of adjacent rectangles, or bins, that are used to represent the frequency distribution of the data. The height of each bin corresponds to the number of data points that fall within a particular range or interval.

For this problem, we have that each bin will represent the number of observations in an interval of grams of fiber.

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Answer:

the answer is C.

Step-by-step explanation:

equals to 125

Answer:

X is equal to 125

Step-by-step explanation:

The lines that are shown are called vertical angles. Vertical angles are when two lines intercept and if one side is 125 degrees, then the other side of the veritcal angle is too. I'm not too good at explaining but I hope it helped:)

Answer:

Step-by-step explanation:

The dog's route and final facing direction are shown in the attached diagram.

The sequence of facing directions for right turns is ...

  {N, E, S, W, N}

The sequence of facing directions for left turns is the reverse:

  {N, W, S, E, N}

In total, the dog made 3 right turns and 2 left turns. The net change in facing direction is 3-2 = 1 right turn. The dog's initial facing direction is north, so its final facing direction is east, one right turn from north.

The distances traveled are ...

  N 4, E 1, S 5, E 2, N 5.

The net change in position is north (4-5+5) = 4 miles, and east (1 +2) = 3 miles. The distance between the final point and the initial point is the hypotenuse of a right triangle with legs 4 miles and 3 miles. The Pythagorean theorem tells us that distance is ...

  c² = a² +b²

 c = √(a² +b²) = √(4² +3²) = √25 = 5

The smallest distance between the dog's final and initial points is 5 miles.

Answer:  He is not correct. The resulting will be in a different quadrant.

Step-by-step explanation:  This would be much easier to answer with a screen shot of the image.

For example, if the original image is in quadrant 1, the first reflection over the x-axis places the new image in quadrant 4, "upside-down" and the second reflection over the y=x line places the new image in quadrant 2 and "oblique" to the original.

Reflecting the original over the y=-x line places the new image in quadrant 3.

To multiply the given expressions (8.65 x 10^3) and (9.3 x 10^-23), we can apply the laws of exponents. In multiplication, we multiply the coefficients and add the exponents.

First, we multiply the coefficients:

8.65 * 9.3 = 80.295

Next, we add the exponents:

10^3 * 10^-23 = 10^(3 + (-23)) = 10^-20

Combining the coefficient and the exponent, we get:

80.295 x 10^-20

Thus, the final result of the multiplication is 80.295 x 10^-20.

In scientific notation, this can be written as 8.0295 x 10^-19, where the coefficient is 8.0295 and the exponent is -19.

This means that the product of (8.65 x 10^3) and (9.3 x 10^-23) is approximately 8.0295 x 10^-19. This result represents a very small value due to the negative exponent, indicating that the product is much smaller than 1.

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