Write an expression equivalent to m + m + m + m that is a product of a coefficient and a variable.

Answer:

B

Step-by-step explanation:

Just b

Answer:

We know the  angle given refers to the length of the opposite side.

Given angle = 82 and the opposite side = 34 so part of the  relationship is

sin 82 / 34 = sin (  ) / ( )

We are also given one side = 27 and that side is opposite angle at C

so that part of the relationship is   sin C / 27

sin 82 / 34 = sin C / 27

A true relationship based on the Law of Sines was found in the given triangle.

In the given triangle

∠A=82°

Length of side in front of ∠A = 34

Length of side in front of ∠C = 27

According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then

\(\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}\)

According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.

So, \(\frac{Sin82}{34} =\frac{SinC}{27}\)

Hence, a true relationship based on the Law of Sines was found in the given triangle.

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Answer:

To find 47% of 900, you can multiply 900 by 0.47, which represents 47% as a decimal:

47% = 47/100 = 0.47

So, 47% of 900 is:

0.47 x 900 = 423

Therefore, 47% of 900 is 423.

Convert 47% to a decimal

= 47% = 47/100 = 0.47

47%= 0.47 × 900

=423

The percentage by which the orangutan population has changed is 92.23%

We know that the formula for the relative change.

R = |x2 - x1| ÷ x1

where x2 is the final value

and x1 is the initial value

R is the relative change

Here, the orangutan population has changed from 1900 when there were 85,000 orangutans to the present day when there are about 6,600 orangutans.

This means, x1 = 85000 and x2 = 6600

So, the relative change would be,

R = |6600 - 85000| ÷ 85000

R = 78400 / 85000

R = 0.9223

and the percentage change would be,

P = R × 100

P = 0.9223 × 100

P = 92.23%

Therefore, the percentage change = 92.23%

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The degrees of freedom for a data table can be calculated using the formula:

Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)

In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:

Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90

Therefore, the degrees of freedom for the given data table is 90.

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Answer:

answer would be 120 degrees.

Step-by-step explanation:

because 4y+4+60=180

angle Q =4y+4

so 180-60=120

Answer:

5. 8π 6. 18π 7. 8.6π 8. 11/4π

Step-by-step explanation:

8. 2 3/4

2*4+3 = 11/4

Answer:

25 / 4

Step-by-step explanation:

To find the left sum, you need to....
1.) Find Δx

2.) Find \(x_{k-1}\)

3.) Find ∑\(^n_{k=1}f(x_{k-1})\)Δx

4.) Solve for the left sum

Answer:

Pat receives $18.

Step-by-step explanation:

Pats get 18 dollars because he only gets 40 percent of what Julie gets and 40% of 45 is 18.

Answer:

I am not one hundred percent sure but I think it is D

Answer:

probably D

Step-by-step explanation:

We will solve by graphing this system.

According to the graph bellow, the answer is D. The lines will intersect once, because this system has one  solution.

Answer:  D. The lines will intersect once, because this system has one  solution

Step by Step Explination:

Yes it is correct because I took the test and got 100%

18.9 is the approximate percent increase in the average number of customers per day from august to September.

A figure or ratio stated as a fraction of 100 is called a percentage.

Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given Data

= \(\frac{average customer on that day}{average customer}\) (100%)

= \(\frac{975-820}{820}\) (100%)

=\(\frac{155}{820}\) (100%)

=0.189(100%)

= 18.9%

18.9 is the approximate percent increase in the average number of customers per day from august to September.

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The temperature of the liquid at noon would be of:

-2.25ºC.

The linear function in this problem is defined in the slope-intercept format, as follows

y = mx + b.

In which the coefficients of the function are given as follows:

The values of these coefficients are given as follows:

m = -3/4, b = 0.

Then the function that gives the temperature in x hours after 9 A.M. is of:

y = -3/4x.

Noon is three hours after 9 A.M., hence the estimate is given as follows:

y = -3/4(3) = -9/4 = -2.25ºC.

The problem states that the initial temperature is of 0ºC at 9 A.M.

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Answer:

8 miles

Step-by-step explanation:

We start by calculating the distance between the two points

To calculate this, we use the distance formula

Let the distance be D

We have the formula as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-2+2)^2 + (-5-3)^2

D = √(64)

D = 8 units

Since 1 unit is 1 mile,

then 8 units will be 8 * 1 = 8 miles

Step-by-step explanation:

Notice that KM = 0.5BC, KL = 0.5AC

and ML = 0.5AB. Therefore the perimeter of triangle KLM is half of the perimeter of triangle ABC. => 0.5 * 24cm = 12cm.

Each of the 3 purple triangles have perimeters which are 1/4 of the perimeter of triangle ABC. (Their vertices are midpoints of midpoints => 1/2 * 1/2)

Perimeter of 3 small purple triangles

= 3 * [24cm * (1/4)]

= 3 * 6cm = 18cm.

Hence Total perimeter of shaded parts

= 12cm + 18cm = 30cm.

Answer:

snow = 3.2"/hr * x hrs

Step-by-step explanation:

snow = 3.2"/hr * x hrs

Answer:

320

Step-by-step explanation:

The given series is an illustration of an arithmetic series, where the sum of first 10 terms of the series is -160.

Given

\(2 + (-2) + (-6) + (-10) +.......\)

First, we calculate the common difference of the series

\(d = T_2 - T_1\)

\(d = -2 -2\)

\(d = -4\)

The sum of the first nth term of an arithmetic series is:

\(S_n = \frac n2(2a + (n - 1)d)\)

Where:

\(n = 10\) ---- i.e. sum of 10 terms

\(a = 2\) --- the first term

\(d = -4\) --- the common difference

So, we have:

\(S_{10} = \frac{10}{2}(2 \times 2 + (10 - 1) \times -4)\)

\(S_{10} = 5(4 + 9 \times -4)\)

\(S_{10} = 5(-32)\)

\(S_{10} = -160\)

Hence, the sum of 10 terms of the series is -160.

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Answer:

Step-by-step explanation:

If 60% or .60 of a number is 66, then we write and equation to solve for the original number, x.

.6x = 66 Divide each side by .6

.6x/.6 = 66/.6

x = 66/.6

x = 110

as a proportion it would be:

60:100 = 66:110

The proportion that best represents the given relationship is 110 and this can be determined by using the unitary method.

Given :

60 percent of a number is 66.

The following steps can be used in order to determine the proportion that best represents the given relationship:

Step 1 - The unitary method can be used in order to determine the proportion that best represents the given relationship.

Step 2 - Let the unknown number be 'a'.

Step 3 - According to the given data, the value of 'a' can be calculated as:

\(a = \dfrac{100}{60}\times 66\)

Step 4 - Simplify the above expression.

\(a = 110\)

So, the proportion that best represents the given relationship is 110.

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The required measure of the angle ∠spq of a rhombus is 110°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For rhombus,
m∠spr=(2x + 15)°
m∠qpr=(3x−5)°

And,
m∠spr = m∠qpr
2x + 15 = 3x - 5
x = 20

Now,
∠spq = m∠spr + m∠qpr
        = 2x + 15 + 3x - 5

        = 5x + 10
        = 5(20) + 10
        = 110°

Thus, the required measure of the angle ∠spq of a rhombus is 110°.

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Il faut calculer la différence entre les deux nombres, la diviser par l'ancienne valeur, puis multiplier par 100 pour obtenir le pourcentage.

La différence entre les deux nombres est :

28 - 20 = 8

L'ancienne valeur est 20, donc nous avons :

(8 / 20) x 100 = 0.4 x 100 = 40

Le pourcentage d'augmentation est donc de 40%. Le lanceur de baseball a augmenté son nombre de victoires de 40% par rapport à l'année précédente.

The measure of each angle is given as c equal to 140°, A equal to 140°, and B equal to 40°. When added together, the sum of the measure of angles c, A, and B is equal to 320°.

Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.

An angle is the figure formed by two rays that have the same endpoint. The measure of an angle is the amount of rotation from the initial ray to the terminal ray. The measure of each angle is given as c equal to 140°, A equal to 140°, and B equal to 40°. When added together, the sum of the measure of angles c, A, and B is equal to 320°.

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Complete question:

What is the sum of the measure of angles c=<140 A= <140 B<40

320°

140°

360°

Using the Pythagorean theorem, the height of the television is approximately 16 inches.

Given the following:

Length of the diagonal of the television = 27 inches

Width of the television = 22 inches.

Height of the television = ?

Using the Pythagorean theorem, we would find the height of the television as shown below:

Height of the television = √(27² - 22²)

Height of the television = √(729 - 484)

Height of the television = √245

Height of the television ≈ 16 inches

Thus, using the Pythagorean theorem, the height of the television is approximately 16 inches.

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Answer:

Car 1 is traveling faster than Car 2. Car 1 is traveling at a speed of 64 miles per hour and Car 2 is traveling at a speed of 55 miles per hour.

Answer:

1 pint=32    1 quart=64    1 gallon=256

Step-by-step explanation:

The proportion of the risk factor for disease X in the sample is 2/10 or 0.2.

To calculate the proportion of a specific characteristic (in this case, the risk factor for disease X) in a sample, you need to divide the number of individuals with that characteristic by the total number of individuals in the sample. In this scenario, 2 out of 10 individuals have the risk factor for disease X.

Step-by-step calculation:
1. Number of individuals with risk factor = 2
2. Total number of individuals in the sample = 10
3. Proportion of risk factor = Number of individuals with risk factor / Total number of individuals
4. Proportion of risk factor = 2 / 10
5. Proportion of risk factor = 0.2


The proportion of the risk factor for disease X in the sample is 0.2, which means 20% of the individuals in the sample have this risk factor.

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