A basketball player attempted 15 field goals. He scored on 40 percent of his attempts. How many field goals did the player score? NEED HELP BADLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 10/21/2020

Answer:

67 degrease

Step-by-step explanation:

angle #1 = 23

angle #2 = 90

angle #3 = ?

#1 + #2 + #3 = 180

23 + 90 + ? = 180

180 - (23 + 90) = ?

180 - 113 = ?

? = 67

Answer:

  86 ft

Step-by-step explanation:

You want the straight line distance from a location 50 ft from a hotel to a window that has an angle of elevation of 54.5°.

The cosine relation between sides and angles in a right triangle is ...

  Cos = Adjacent/Hypotenuse

The 50 ft distance is adjacent to the angle, and we want to find the hypotenuse. Using this equation, we can solve for the length we want:

  Hypotenuse = Adjacent/Cos

Using the numbers in the problem statement, we find the straight-line distance to be ...

  LW = LH/cos(54.5°) = (50 ft)/0.580703 ≈ 86 ft

The distance between Penny and Lisa is about 86 feet.

__

Additional comment

We don't know what drawing tools you have available. The attached diagram was drawn by locating the window at 50tan(54.5°) up from the base of the hotel. The tool provided the length of LW as 86.1.

We could have use a rotation tool to create the angle of 54.5°, or a line graphing tool to draw the line through (50, 0) with slope tan(-54.5°). Then an intersection tool could have located the window at the point of intersection of that line and the y-axis.

The calculation we did above is about the easiest for determining the distance mathematically (not having the tool measure it).

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\(x + 74 \cdot 10 - (7 \cdot 86) = 318\)

\(x+74\cdot \:10-7\cdot \:86=318\)

\(x+740-7\cdot \:86=318\)

\(x+740-602=318\)

\(x+138=318\)

\(x = 318 - 138 = 80\)

Imparatul s-a gandit la numarul 80.

Step 1

Rearrange the equation

Step 2

Test all options by rearrangement

Option A

Option B

Option C

Option D

Hence, the equivalent options to the equation are options B and C

Answer:

Step-by-step explanation:

The GCF of 8 and 9 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

9 ÷ 1 = 9

The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 9 = 8 : 9

Answer:

y = 1

Step-by-step explanation:

2y + 6y = 8

8y = 8

y = 8/8

y = 1

Hope it helps :)

Answer

y = 1

Step-by-step explanation:

2y+6y=8

8y=8

y=8/8

y=1

A rectangular area with dimensions of 2 yards by 128 yards will have the least perimeter of fencing while maintaining an area of 256 square yards.

To find the dimensions of the rectangular area that provide the least perimeter of fencing while maintaining an area of 256 square yards, we can use the concept of optimization.

Let's assume the dimensions of the rectangular area are length (L) and width (W) in yards. According to the given information, the area of the playground is 256 square yards, so we have the equation:

L * W = 256

To find the dimensions that minimize the perimeter, we need to minimize the sum of all sides of the rectangle. The perimeter (P) is given by the formula:

P = 2L + 2W

We can rewrite this equation as:

P = 2(L + W)

Now, we need to express one variable in terms of the other and substitute it back into the perimeter equation. Solving the area equation for L, we get:

L = 256 / W

Substituting this value of L into the perimeter equation, we have:

P = 2(256 / W + W)

To find the minimum perimeter, we can take the derivative of P with respect to W, set it equal to zero, and solve for W. However, since we have a quadratic term (W^2) in the equation, we can also use the concept that the minimum occurs at the vertex of a quadratic function.

The vertex of the quadratic function P = 2(256 / W + W) is given by the formula:

W = -b / (2a)

In this case, a = 1, b = 256, and c = 0. Plugging these values into the formula, we get:

W = -256 / (2 * 1) = -128

Since we are dealing with dimensions, we take the positive value for W:

W = 128

Now, we can substitute this value of W back into the area equation to find the corresponding value of L:

L = 256 / 128 = 2

Therefore, the dimensions of the rectangular area that provide the least perimeter of fencing while maintaining an area of 256 square yards are 2 yards by 128 yards.

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The relationship between the variables x, y and z is an illustration of similar triangles

The values of x, y and z are 6, \(\sqrt{117}\) and \(\sqrt{52\)

Right triangles are triangles with an angle measure of 90 degrees, and we have the following equivalent ratio from the triangle

\(x : 9 = 4 : x\)

Express as fraction

\(\frac x9 = \frac 4x\)

Cross multiply

\(x^2 = 36\)

Take the square root of both sides

\(x = 6\)

The value of y is then calculated using the following Pythagoras theorem

\(y = \sqrt{9^2 + x^2\)

This gives

\(y = \sqrt{9^2 + 6^2\)

\(y = \sqrt{117\)

The value of z is then calculated using the following Pythagoras theorem

\(z = \sqrt{4^2 + x^2\)

This gives

\(z = \sqrt{4^2 + 6^2\)

\(z = \sqrt{52\)

Hence, the values of x, y and z are 6, \(\sqrt{117}\) and \(\sqrt{52\)

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Answer:

It would be D.

This is a box of 100 squares, and you can see that there are 10 shaded per row. You can see that there are 8 rows completely shaded, plus 2 of them shaded in another row.

8 x 10 = 80

80 + 2 = 82

Now, to turn it into a decimal, turn the number 82 into a decimal, which is 0.82

Answer:

B: The value of 7 in 7.5 is 1

Step-by-step explanation:

Because in decimals 1.0 is the ones place, the 7 in 7.5 is in the ones place, hope this helps!

The answer is 29 feet of banner rope needed to reach from the rooftop to the fence pole. The car salesman needs a rope that is at least 41 feet long.


We need to find the length of the rope that goes from the rooftop to the ground. We can use the Pythagorean theorem for that. The Pythagorean theorem states that in a right triangle (like the one formed by the rooftop, the ground, and the banner rope), the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

The two shorter sides are the distance from the rooftop to the ground (29 feet) and the distance from the fence pole to the base of the rooftop (20 feet). The longest side is the length of the banner rope we're trying to find. Let's call it x. Using the Pythagorean theorem, we get: 29^2 + 20^2 = x^2
Simplifying:
841 + 400 = x^2
1241 = x^2
Taking the square root of both sides: x = √1241
x ≈ 35.22
So the banner rope from the rooftop to the ground needs to be at least 35.22 feet long.
Next, we need to add the distance from the ground to the top of the fence pole, which is 8 feet. So the total length of the banner rope needed is: 35.22 + 8 = 43.22
Rounding up, we get that the car salesman needs a banner rope that is at least 43 feet long.

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Answer:

Point-slope form: y - 3 = -6/5 (x + 5)

Slope-intercept form: y = -6/5x - 3

The curl and divergence of the given vector field can be determined by the following steps :

(a) The curl of the given vector field F(x, y, z) = 5eˣʸ sin(z)j + 4y tan⁻¹(x/z)k is:

curl F = ∇ × F = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k.

Evaluating the partial derivatives, we have:

∂F₁/∂y = 5xeˣʸ sin(z),

∂F₂/∂z = 0,

∂F₃/∂x = 4y / (1 + (x/z)²),

∂F₃/∂y = 0,

∂F₁/∂z = 5eˣʸ cos(z),

∂F₂/∂x = 4y / (1 + (x/z)²).

Substituting these values into the curl equation, we get:

curl F = (0 - 0)i + (5xeˣʸ sin(z) - 4y / (1 + (x/z)²))j + (4y / (1 + (x/z)²) - 5eˣʸ cos(z))k.

(b) The divergence of the vector field F can be calculated as:

div F = ∇ · F = ∂F₁/∂x + ∂F₂/∂y + ∂F₃/∂z.

Evaluating the partial derivatives, we have:

∂F₁/∂x = 5yeˣʸ sin(z),

∂F₂/∂y = 0,

∂F₃/∂z = 5eˣʸ cos(z).

Substituting these values into the divergence equation, we get:

div F = 5yeˣʸ sin(z) + 0 + 5eˣʸ cos(z).

Therefore, the divergence of the vector field F is 5yeˣʸ sin(z) + 5eˣʸ cos(z).

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Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

The correct answer is option D) 22,25,33,35,37,40,45.

To create a box plot, we need to find the minimum value, the maximum value, the median, and the quartiles of the data set.

Now, let's check which of the given data sets matches the information provided in the box plot:

A) 22,29,34,36,39,45: This data set does not have a minimum value of 20 or a maximum value of 45, so it cannot be represented by the given box plot.

B) 20,30,35,40,45: This data set has the correct minimum and maximum values, but it does not have a median of 32.5 or an IQR of 10, so it cannot be represented by the given box plot.

C) 22,25,35,35,35,35,36,44,45: This data set has the correct minimum and maximum values and a median of 32.5, but it does not have an IQR of 10. The Q₁ and Q₃ values are also different from the given box plot, so it cannot be represented by the given box plot.

D) 22,25,33,35,37,40,45: This data set has the correct minimum and maximum values, a median of 32.5, and an IQR of 10. The Q1 and Q3 values also match the given box plot. Therefore, this data set could be represented by the given box plot.

So, the correct answer is option D) 22,25,33,35,37,40,45.

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The given decimal 0.69789978997899789 is irrational since 7899 is repeating.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Given the decimal

0.69789978997899789

Now if we see then 7899 is repeating it means it will going to repeat and it ends so it is not apple to write in form of p/q so it will be an irrational number.

Hence "The given decimal 0.69789978997899789 is irrational since 7899 is repeating".

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The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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Answer: look at the image

Step-by-step explanation:

Two of them have the same remaining. The proof using the pigeonhole principle is now complete.

When an integer is divided by 4, there are four potential remainders: 0, 1, 2, or 3. Take any set of five numbers as an example.

If at least three of them have the same remainder when divided by 4, then we are done, since two of them will have the same remainder. This is because if three integers have the same remainder, then we can subtract that remainder from all of them, and the resulting three integers will all be divisible by 4, which means that two of them will have the same remainder when divided by 4.

So suppose that at most two of the integers have the same remainder when divided by 4. Then there are at most two integers with remainder 0, at most two integers with remainder 1, at most two integers with remainder 2, and at most two integers with remainder 3. This means that there are at most 8 integers in total, which is a contradiction since we started with 5 integers. Therefore, there must be at least three integers with the same remainder when divided by 4, and hence there are two with the same remainder. This completes the proof by the pigeonhole principle.

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Answer:

2.3 x 2 = 4.6 kg.

hand = one hand

98 - 4.6 = 94.4

The number of ways can arrange the songs on the CD will be 3,628,800.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Suppose Allen is going to burn a compact disk (CD) that will contain 10 songs.

Then the number of ways can arrange the songs on the CD will be given by 10 factorial.

⇒ 10!

⇒ 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

⇒ 3,628,800

Thus, the number of ways can arrange the songs on the CD will be 3,628,800.

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Answer: 6.84 x 10^-3

Step-by-step explanation:

Answer:

\(6.84 \times 10 {}^{ - 3} \: \: \: is \: the \: scientific \: notation.\)

Answer:

54

Step-by-step explanation:

(24^2)+(30^2)

Answer:

54yd^2

Step-by-step explanation:

you need to break up the figure into 2 different boxes. One 3 x 10 and one    6 x 4 which adds up to 30 + 24 = 54.

Answer:

122

Step-by-step explanation:

Given information, line t is parallel to line s.

angle 1 and angle 2 are alternate angles and so their measure is equal to each other:

10x + 2 = 12x - 22 transfer like terms to the same side of the equation

2 + 22 = 12x - 10x

24 = 2x divide both sides by 2

12 = x to find the measure of angle 2 replace x with the value we found

12*12 - 22 = 122

The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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Answer:

29 minutes

Step-by-step explanation:

Let

x = number of minutes

y = the height of the airplane above sea level in feet

y = 32,000 - 1000x

y = 3,000

Therefore,

y = 32,000 - 1000x

3,000 = 32,000 - 1000x

3,000 - 32,000 = -1000x

-29,000 = -1,000x

x = -29,000 / -1,000

x = 29 minutes

it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level

a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

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Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8

Answer:

lesss thannnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation: