There are 3 similar triangles. how many angles do you need in order to know they are similar shapes

Answer:

5

Step-by-step explanation:

divide 10 by 2

Answer:

There are 5 boys in the class

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Market Size: Qualitative data, Nominal scale. Promotion: Qualitative data, Nominal scale. Week: Qualitative data, Ordinal scale.

a) The categorical qualitative variables from the ones listed above are as follows  :Market Size.

This variable represents the size of the customer base (small, medium, or large market).Promotion: Type represents which promotion the store ran (Promotion 1, 2, or 3. They ran three different promotions for a new product to see which one is more effective.).

b) The numerical (quantitative) variables from the ones listed above are as follows: Sales: (In Thousands) represents the number sales (in $1000) made in the specified week of December (Week).Age: Store represents the age of the store in years. Week: Number represents the week in which the promotion ran (Week 1, 2, 3, 4 - captured sales of new product over four weeks) c) Level of measurement for each variable is given as follows :Sales: Quantitative data, Ratio scale.Age: Quantitative data, Ratio scale.

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Answer:

$33.60

Step-by-step explanation:

20% discount on an original price of $40 = $8

so the price is now $32

5% of $32 = $1.60

32 + 1.60 = $33.60

Answer:

1479.2

Step-by-step explanation:

We will use a combination formula to determine how many ways the prizes could be given out.

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

The formulas nCk is popularly known as counting formula.

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Answer:

The humpback whales are 37 times bigger than the krills they eat

Step-by-step explanation:

In this question, we are interested in knowing how much bigger are humpback whales compared to krill.

what is simply happening here is to divide the weight of the humpback whales by the weight of the krills.

From the question, weight of humpback whales = 8 * 10^4 while the weight of the krills are 2.1875 * 10^3

So the number of times the humpback whales are bigger is;

(8 * 10^4)/(2.1875 * 10^3) = 36.57 which are approximately 37 times bigger

Answer:

46

Step-by-step explanation:

length x width x height

7 x 5 x 3

Answer: surface area = 142

Volume = 105

* make sure to add labels (units^2, etc.)

Step-by-step explanation:

Area = length x height

Volume = length x width x height

Answer:

n= 11/12

Step-by-step explanation:

Answer:

check online for more information

Answer:

(x - 2) or (x + 5)

Step-by-step explanation:

Step 1: Write quadratic

x² + 3x - 10

Step 2: Factor

(x - 2)(x + 5)

Answer:  x2 + 3x – 10= (x+5)⋅(x−2)= -6

so x=-6

Step-by-step explanation:  "x2"   was replaced by   "x^2".

Factoring  x2+3x-10  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5  

                    x2 - 2x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x-2)

            Which is the desired factorization

so (x + 5) • (x - 2)= x=-6

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Answer:

3

Step-by-step explanation:

Replace 8 with 3

Cz angle 4 is equal to 8

Angle 4+Angle 3 is 180⁰

And angle one is equal to angle three

Answer:

right triangle

Step-by-step explanation:

10 + 24 = 34

34 > 26

Therefore, there is a triangle.

Now we use the Pythagorean theorem.

10^2 + 24^2 = 100 + 576 = 676

26^2 = 676

Since 10^2 + 24^2 = 26^2, the triangle is a right triangle.

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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Answer:

3/4 into decimal = 0.75

0.75 X 100 = 75

2 X 100 = 200

200/75 = 2.66666666

The derivative of \(f(t)\) is given by \(f'(t) = 4t - 1\). To find the derivative of the function \(f(t) = 2t^2 - t\), we can apply the power rule and the constant multiple rule of differentiation.

The power rule states that if we have a term of the form \(x^n\), the derivative is obtained by multiplying the term by the exponent and then subtracting 1 from the exponent.

The constant multiple rule states that if we have a constant multiplied by a function, the derivative is obtained by taking the derivative of the function and multiplying it by the constant.

Applying these rules to \(f(t) = 2t^2 - t\), we differentiate each term separately:

\(\frac{d}{dt}(2t^2) = 2 \cdot 2t^{2-1} = 4t\),

\(\frac{d}{dt}(-t) = -1\).

Therefore, the derivative of \(f(t)\) is given by \(f'(t) = 4t - 1\).

When we differentiate \(2t^2\), we apply the power rule and multiply the term by the exponent, which gives us \(2 \cdot 2t^{2-1} = 4t\). For the term \(-t\), the derivative of a constant multiplied by a function is simply the derivative of the function multiplied by the constant, resulting in \(-1\). Thus, combining the derivatives of the individual terms, we obtain the derivative of the function \(f(t)\) as \(f'(t) = 4t - 1\).

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Answer:  1/30 fraction of the songs in Devin's music library are rock songs that feature a guitar solo.

To find the fraction of songs in Devin's music library that are rock songs featuring a guitar solo, we can multiply the fractions.

The fraction of rock songs in Devin's music library is 1/3, and the fraction of rock songs featuring a guitar solo is 1/10. Multiplying these fractions, we get (1/3) * (1/10) = 1/30.

Therefore, 1/30 of the songs in Devin's music library are rock songs that feature a guitar solo.

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\( \color{blue} \huge \fbox{ \cal ANSWER}\)

\( \sf \angle WCX \: = \angle WCZ +\angle ZCX\)

\( \sf \angle WCX \: = 65 \degree + 38 \degree\)

\( \sf \angle WCX \: = 103 \degree\)

This is your final answer.

The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.

Answer:

D. 10 units

Step-by-step explanation:

Using the distance formula:

d = √(x2 – x1)² + (y2 – y1)²

Plug in the values of the points:

d = √(3 – (-5))² + (-2 – 4)²

d = √(8)² + (-6)²

d = √64 + 36

d = √100

d = 10

Answer:

14.14

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(10 - 20)² + (25 - 15)²

√(-10)² + (10)²

√(100) + (100)

√200

= 14.14

If the order of the three terms of the sequence is reversed, the term-to-term rule of the new sequence is essentially the same, but with the terms in reverse order.

For example, let's say the original sequence is a, b, c. The term-to-term rule of this sequence could be expressed as:

Start with a, and for each subsequent term, add a constant difference d to the previous term. So, the sequence would be:

                                           a, a + d, a + 2d, ...

When the order of the terms is reversed, the new sequence would be:

                                                  c, b, a

The term-to-term rule of this reversed sequence would still follow the same pattern:

Start with c, and for each subsequent term, add the constant difference d to the previous term. So, the reversed sequence would be:

                                           c, c + d, c + 2d, ...

In summary, reversing the order of the terms in a sequence does not change the underlying term-to-term rule.

The terms are still generated by applying the same rule, but the order in which they appear is reversed.

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Answer:

35%

Step-by-step explanation:

I'm sorry if it isn't right but I tried.

Answer:

jawaban :178,000 itu jawabanya ya dah

Without the actual values of b0 and b1, it is not possible to determine the predicted explanatory value. The correlation coefficient alone does not give enough information to make this prediction.

To find the predicted explanatory value that gives an average response value of 150, you would need to use the regression equation.

The regression equation takes the form:

y = b0 + b1x

where y is the response variable, x is the explanatory variable, b0 is the y-intercept, and b1 is the slope.

To find the x value that gives you a y value of 150, you would rearrange the equation as follows:

x = (y - b0)/b1

Plug in 150 for y and the y-intercept and slope values from your regression analysis to find the predicted explanatory value.

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Answer:

because, for any n by n matrix, the sum of the dimension of the column space and the dimension of the null space must equal n. If the two dimensions are the same, their sum is an even number.

Step-by-step explanation:

It is impossible for an n-by-n matrix, where n is odd, to have a null space equal to its column space because the dimensions of the two spaces cannot be the same.

The null space of a matrix A is the set of all solutions to the equation Ax=0, where x is a column vector of appropriate dimensions. The column space of A is the span of the columns of A, which is the set of all linear combinations of the columns of A.

If the null space and column space of A are equal, then the dimension of the null space must be equal to the dimension of the column space. By the Rank-Nullity Theorem, the sum of the dimensions of the null space and the column space is equal to the number of columns in A.

Therefore, if n is odd, the dimensions of the null space and column space cannot be equal since their sum is even. Therefore, it is impossible for an n-by-n matrix, where n is odd, to have a null space equal to its column space.

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