(L7) a=16 mm, b=63 mm, c=65 mmThe triangle is a(n) _____ triangle.

Perimeter of Rectangle is 44m

A perimeter is a closed path that encompasses, encircles, or delineates a one-dimensional length or a two-dimensional shape.

According to the given information

Area of Rectangle = l × b

Area of Rectangle = 105 \(m^{2}\)

Length of one side = 7 m

Let the length of the adjacent side = b

Area of Rectangle given = 7 × b

                     105   = 7 × b

                       b    =  \(\frac{105}{7}\)

                       b   = 15 m

Perimeter of Rectangle given = 2( l + b )

                                        = 2 ( 7 + 15 )

                                        = 2 × 22

                                        = 44m

Perimeter of Rectangle is 44m

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Given:

The length of the rectangle is 50 yards. The perimeter is less than 180 yards.

Required:

Write the solution inequality in terms of width w.

Explanation:

Let the width of the rectangle is w.

The perimeter of the rectangle is given by the formula:

Final Answer:

The first option is the correct answer.

Answer:

negative

Step-by-step explanation:

Answer:8w+10c_>150

Step-by-step explanation:

Answer:

x=30 degrees

Step-by-step explanation:

A line is 180 degrees, so the angle on the other side of 100, must be 80 to add up to 180.

ALL TRIANGLE ANGLES ADD UP TO 180.

So we have 70 and 80.

180-150=30

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

1/2 hr 27.5

1 1/2 hr 82.5

last one is 2 hr and 110

Step-by-step explanation:

Answer:

There is a unique solution.

The solution is x = 0, y = 0, and z = 0.

The system intersects at one point.

The system is independent and consistent.

Step-by-step explanation:

edge

Answer:

2268 persons

Step-by-step explanation:

Persons supporting home team

=84/100 × 2700

=2268 persons

Answer:

2268

Step-by-step explanation:

The domain of f/g(x) is given by B. {x ∈ ℝ | x ≠ -2, -3, 3}The correct option is B. {x ∈ ℝ | x ≠ -2, -3, 3}, which represents the real numbers excluding -2, -3, and 3.

To find the domain of f/g(x), we need to consider the values of x for which the denominator g(x) is non-zero. Division by zero is undefined in mathematics, so we exclude any values of x that make the denominator zero.

The denominator g(x) = x^3 + 2x^2 - 9x - 18 can be factored as follows:

g(x) = (x - 3)(x + 2)(x + 3)

To determine the values of x that make the denominator zero, we set each factor equal to zero and solve for x:

x - 3 = 0 => x = 3

x + 2 = 0 => x = -2

x + 3 = 0 => x = -3

Therefore, the values x = -2, x = -3, and x = 3 make the denominator zero.

To find the domain of f/g(x), we exclude these values from the domain of f(x). Hence, the domain of f/g(x) is given by:

{x ∈ ℝ | x ≠ -2, -3, 3}

Therefore, the correct option is B. {x ∈ ℝ | x ≠ -2, -3, 3}, which represents the real numbers excluding -2, -3, and 3.

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The surface area of the prism formed by the net is 538 square feet

From the question, we have the following parameters that can be used in our computation:

Net of a prism

The surface area of the figure is calculated as

Area = sum of individual areas of shapes that make up the prism

Using the above as a guide, we have the following:

Area = (16 + 5 + 16 + 5) * 9 + (5 + 5) * 16

Evaluate the sum of products

Area = 538

Hence, the area is 538 square feet

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To identify the surface area of the prism formed by the given net, we need to first recognize the shape of the prism and then calculate the surface area of each face to add them up to get the total surface area of the prism.The given net of the prism is shown below:

We can observe that the given net represents a right rectangular prism with dimensions 5 ft, 8 ft, and 16 ft. Now, to find the surface area of this prism, we need to calculate the area of each face and add them up. The surface area of a rectangular prism can be given by the formula 2lw + 2lh + 2wh, where l, w, and h are the dimensions of the prism.Let's find the area of each face and add them up to get the surface area of the prism .Area of the top and bottom faces:Length of the rectangle = 16 ft

Width of the rectangle = 5 ft

Area of one face = lw = 16 × 5 = 80 ft²

Area of both faces = 2 × 80 = 160 ft²Area of the side faces:

Length of the rectangle = 16 ft Height of the

rectangle = 8 ftArea of one face = lh = 16 × 8 = 128 ft²

Area of both faces = 2 × 128 = 256 ft²

Area of the front and back faces:Width of the rectangle = 5 ft Height of the

rectangle = 8 ft

Area of one face = wh = 5 × 8 = 40 ft²Area of both

faces = 2 × 40 = 80 ft²

Total surface area of the prism = Area of top and bottom faces + Area of side faces + Area of front and back

faces= 160 + 256 + 80= 496 square feet

Therefore, the surface area of the prism formed by the given net is 496 ft².

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An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.

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Answer:

6x +3

Step-by-step explanation:

Perimeter of a triangle is the sum of all the length of its sides. Since a triangle as 3 sides, add the 3 lengths together.

Perimeter of triangle= 2x -6 +x +8 +3x +1

Bringing all the x terms together and constants together:

Perimeter of triangle= 2x +x +3x -6 +8 +1

Simplify:

Perimeter of triangle= 6x +3

The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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Answer:

They are different because they have different signs

Step-by-step explanation:

In 4,9 both values are positive whereas in 4,-9 the 9 is negative and the 4 is positive.

Answer:

x = - 52

Step-by-step explanation:

\(\frac{1}{3}\) x - \(\frac{2}{3}\) = - 18 ( multiply through by 3 to clear the fractions )

x - 2 = - 54 ( add 2 to both sides )

x = - 52

Answer:

1900 190×10 =1900 (half of 20 because every 2 hours) rate per hour is 95 half of 190.

Answer:

Step-by-step explanation:

Answer:

3 times greater

Step-by-step explanation:

To find out how many times greater the population of Chicago is than Austin, we can divide the population of Chicago by the population of Austin:

Population of Chicago / Population of Austin = 2,720,546 / 900,000

Simplifying the expression by dividing both the numerator and denominator by 100,000, we get:

Population of Chicago / Population of Austin = 27.20546 / 9

Dividing these numbers, we get:

Population of Chicago / Population of Austin = 3.022838

Therefore, the population of Chicago is about 3 times greater than the population of Austin.

Answer:

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Step-by-step explanation:

Answer: The ratio of A's lateral surface area to B's lateral surface area is 16:1.

Step-by-step explanation: Let B's radius be x and the height be y. Then, the radius of A will be 4x and the height will be 4y.

As we know, the formula for the lateral surface area of a cylinder is

2\(\pi\)rh.

So, the lateral surface area of A is 2\(\pi\)(4x)(4y)= 32\(\pi\)xy

lateral surface area of B is 2\(\pi\)(x)(y)= 2\(\pi\)xy

Ratio,

Lateral surface area of A/ Lateral surface area of B = \(\frac{32\pi xy}{2\pi xy}\)

=\(\frac{16}{1}\)

=16:1

Answer:

Step-by-step explanation:

Para resolver este problema, necesitamos usar la fórmula de interés compuesto1 para el plan B y la fórmula de interés simple para el plan A.

Para el plan A, Sam aumentará su saldo en $500 cada año, así que después de 5 años tendrá:

$5000 + 5 x $500 = $7500

Para el plan B, Sam aumentará su saldo en un 10% cada año, así que después de 5 años tendrá:

$5000 x (1 + 0.1)^5 = $8052.55

El mejor plan para ahorrar más dinero es el plan B porque le dará a Sam un saldo mayor después de 5 años que el plan A. Esto se debe a que el interés compuesto hace que el saldo crezca más rápido que el interés simple.

Espero haber respondido a tu pregunta.

Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

Step-by-step explanation:

the ground level but not really sure

2x-5=7

2x=12

x=6

hopefully its helpful

Answer:

20

Step-by-step explanation:

jdjdjsnnxkdkcndjkx

Answer:

20 years

Step-by-step explanation:

Hope this helps!

Brainiest?

The probability of drawing a yellow, blue, and green paperclip is 0.225, 0.2625, and 0.2375, respectively.

It is the likelihood or chance of an event occurring, usually expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.

Equation:

Given that the proportion of yellow paper in the collection is known, it can be estimated that out of a total of 800 draws, the yellow paper will be drawn around 180 times.

The probability of getting yellow is 36/160 or 0.225.

To see the need for yellow stickers in 800 draws, we multiply the result by the number of draws: 0.225 x 800 = 180.

If a paper clip is drawn 80 times in total, we need to draw the blue paper. It will be drawn 21 times.

The probability of drawing a blue card is 42/160 or 0.2625.

To see the expected amount of blue cards in 80 draws, we multiply the result by the number of draws:

0.2625 x 80 = 21.

If a paperclip is drawn 4950 times in total, a green card must be drawn. about 1235 times. The probability of

Getting a green card is 38/160 or 0.2375.

To find the desired number of green cards in the 4950 check, we multiply the result by the check number:

0.2375 x 4950 = 1175.5.

is equal to the nearest number 1235.

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