Construct an isosceles triangle whose base is 6cm and altitude is 3cm. Then draw another triangle whose sides are 1 1/3times the corresponding sides of the isosceles triangle

Answer:

60 and 30

Step-by-step explanation:

Plug in each number into cos(θ) until your answer is 0.5 since sin(θ) is equal to 0.5.

sin(-30)=-0.5

sin(30)=0.5

sin(60)=0.5

sin(180)=0

Answer:

7 boxes

Step-by-step explanation:

Answer: 15 players per team

Step-by-step explanation:

Unite rate of players on the team refers to the number of players on each of the teams that the Viking Football league has.

You can get this find this out by dividing the number of players, by the number of teams:

= 150/10

= 15 players per team

Answer: The answer is 42

Step-by-step explanation:

I did the test too :)

The weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.

To determine which weight of clothing has a ratio of weight to dye different from the other ratios, we need to compare the ratios for each weight.

Let's calculate the ratios for each weight of clothing by dividing the weight of clothing (in pounds) by the cups of dye:

For 21 pounds of clothing: 21 pounds / 3 cups = 7 pounds per cup

For 42 pounds of clothing: 42 pounds / 9 cups = 4.67 pounds per cup

For 84 pounds of clothing: 84 pounds / 12 cups = 7 pounds per cup

For 105 pounds of clothing: 105 pounds / 15 cups = 7 pounds per cup

From the calculations, we can see that for weights of 21 pounds, 84 pounds, and 105 pounds of clothing, the ratios of weight to dye are the same, which is 7 pounds per cup. However, the ratio for 42 pounds of clothing is different, which is 4.67 pounds per cup.

Therefore, the weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.

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The number of people that can go to the amusement park is 10 people

There are three basic types of equation in mathematics. Namely:

259 = 6.50 + 25.25x

259 - 6.50 = 25.25x

252.50 = 25.25x

x = 252.50 / 25.25

x = 10 tickets

Therefore, the number of people that can go to the amusement park is 10 people

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In simple harmonic motion, the number of cycles per second of a point is its frequency. Here's a step-by-step explanation:

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After considering the given data we conclude that the the answer is (A) the inverse matrix is [1 0 0.1455 -0.0675; 0 1 -0.35 0.675; 0 0 0.455 1.385;].

To evaluate the inverse of the given matrix A, we can applying the algorithm for finding A-by row reducing [A I],
Here I = identity matrix of the same size as A. The steps are as follows:
Set up the matrix [A I] by appending the identity matrix of the same size as A to the right of A:
10 3 -2 1 1 0 0
-3 -4 2 -3 0 1 0
Place row operations to transform the left side of the matrix into the identity matrix. The same row operations must be used on the right side of the matrix to obtain the inverse of A.
Apply divison of the first row by 10 to get a leading 1: 1 0 -0.2 0.1 0.1 0 0
Apply addition 3 times the first row to the second row: 0 -4 1.4 -2.7 0 1 0
Apply addition 2 times the first row to the third row: 0 3 0.6 0.2 0 0 1
Apply addition 3 times the second row to the first row: 1 -12 0 6.7 0 3 -0
Apply division by the second row by -4 to get a leading 1: 0 1 -0.35 0.675 0 -0.25 0
Apply addition 1.4 times the second row to the third row: 0 0 0.455 1.385 0 -0.35 1
Apply subtraction 0.6 times the third row from the second row: 0 1 -0.35 0.675 0 -0.25 0
Apply subtraction 0.455 times the third row from the first row: 1 -12 0 6.7 0 3 -1.455
The left side of the matrix is now the identity matrix, and the right side of the matrix is the inverse of A:
1 0 0.1455 -0.0675
0 1 -0.35 0.675
0 0 0.455 1.385
Hence , the inverse matrix is:
A⁻¹ = [1 0 0.1455 -0.0675; 0 1 -0.35 0.675; 0 0 0.455 1.385;]
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Ans4x55-(4x)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It decreases by two, if you look at the side of Figure A you'll see that it is four squares, and Figure B is two squares. So the scale factor is 2.

Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

3x - y = 11 → (1)

- 2x - 4y = - 26 → (2)

Multiplying (1) by - 4 and adding to (2) will eliminate the y- term

- 12x + 4y = - 44 → (3)

Add (2) and (3) term by term to eliminate y

- 14x + 0 = - 70

- 14x = - 70 ( divide both sides by - 14 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

3(5) - y = 11

15 - y = 11 ( subtract 15 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

solution is (5, 4 )

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The number of players the team can bring to the tournament is 25

What is algebraic expression?

The appropriate algebraic expression in this case is the one that considers the cost of renting the bus of $1093.50 as well as the budgeted meal cost for all players that played in the softball team.

In other words, there is fixed charge which is the rent and meal costs which increase as the number of players increases

TC=a+bX

TC=total amount raised for the tournament=$2074.75

a=cost of renting the bus= $1093.50

bX=cost per meal per player*number of players=$39.25*X

$2,074.75=$1093.50+$39.25*X

$2074.75-$1093.50=$39.25*X

$981.25=$39.25*X

X=$981.25/$39.25

X= 25 players

The team can only bring a team of 25 players to the tournament.

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Answer:

Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.

Answer:

D

Step-by-step explanation:

PIN stands for Personal Identification Number. Option d is correct.

An alphanumeric or numeric string called a personal identification number (PIN) is used to verify a person's identity in a system.

Automated Teller Machines (ATM) for a bank, are the primary use cases for PINs (ATM). PINs are frequently used in place of more complex passwords to unlock mobile devices and authenticate users to applications.

Along with the development of the ATM, PINs were invented in the UK. In 1967, Barclays debuted ATMs as a convenient way for consumers to obtain cash. They also introduced ATM check deposits, which made use of codes printed on checks to help correctly account for such transactions.

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Answer: Add 5 to both sides

What is the first step needed to solve 4 over 7 the whole multiplied by x minus 5 equal negative 13?

Answer- Add 5 to both sides

(4/7)x - 5 = -13

• As mentioned above, first step would be,

adding 5 to both sides

=> (4/7)x - 5 + 5 = -13 + 5

=> (4/7)x = -8

• Now, transporting 7 from L.H.S. to R.H.S

=> 4x = -8 × 7

=> 4x = -56

• Now in the same way, transporting 4 from L.H.S. to R.H.S

=> x = (-56/4)

=> x = -14

• And in this way, or taking (Add 5 to both sides) as our first step, we find that the value of x is -14.

∴ x = -14

Hope it helps.

Answer:

P(x>2)=0.0266

Step-by-step explanation:

just did it poggers, I got you buddy

Answer: Nice

Step-by-step explanation:

Answer:

okay I believe it's A sorry If I'm wrong

Step-by-step explanation:

Answer:

St^{23}\sec \left(o\right)ndsago+5pts^6c-5b+18.2-2b+c+3

ep-by-step explanation:

Answer:

1. A. 999/2

2. B. 1%; exponential decay

3. C. 0.9962

4. C. logb(y⁵ * x⁶)

Step-by-step explanation:

1.

log(2x + 1) = 3

Solve Logarithm.

log(2x + 1) = 3

10^log(2x + 1) = 10^3(Take exponent of both sides)

2x + 1 = 10^3

2x + 1 = 1,000

2x + 1 − 1 = 1000 − 1 (Subtract 1 from both sides)

2x = 999

2x/2 = 999/2 (Divide both sides by 2)

x = 999/2

2.

y = (0.99)^x

Step 1: We compare the given function with the general form of exponent function

y = a (1 + r)^x

Step 2: We compare both equations and get:

1 + r = 0.99

1 - 1 + r = 0.99 - 1

r = -0.01

Step 3: We turn 'r' into a percentage

r = -0.01 × 100 = -1%

r = -1%

In the function f (x) = bx when b > 1, the function represents exponential growth.

In the function f (x) = bx when 0 < b < 1, the function represents exponential decay.

So since b = 0.99 in this equation, the function represents exponential decay

3. The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.7182822

3(2.7182822^2x) + 5 = 27

Step 1: Subtract -5 from both sides.

3(2.718282^2x) + 5 − 5 = 27 − 5

3(2.718282^2x) = 22

Step 2: Divide both sides by 3.

3(2.718282^2x)/3 = 22/3

the 3 in front of (2.718282^2x) cancels out when divided by 3

2.718282^2x = 22/3

log(2.718282^2x) = log(22/3) (Take log of both sides)

The logarithm of a number raised to a power is the power times the logarithm of the number.

2x * (log(2.718282) = log(22/3)

2x = log(22/3) / log(2.718282)

log(22/3) is equal to 0.86530142 in decimal form and the Log base 10 of 2.718282 is approximately 0.4342945

so the equation would be 0.86530142/0.4342945 = 1.99243

2x = 1.99243

2x = 1.99243 (Divide both sides by 2)

2x/2 = 1.99243/2

x = 0.996215 = 0.9962 rounded to the nearest thousandth.

4.  Steps in picture so you understand better

Answer:

8x + 2y = 10  ==>  y = -4x + 5

12x - 3y = -25​  ==>  y = 4x + 25/3

Step-by-step explanation:

8x + 2y = 10  ==> solve for y

2y = 10 - 8x  ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x  ==> simplify

y = -4x + 5  ==> put the equation in y=mx+b form

12x - 3y = -25​  ==> solve for y

12x = -25 + 3y  ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3  ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify

This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.

The vector field for f(x,y) = x^4, y^4 can be plotted by considering the gradient of the function, which gives us the direction and magnitude of the vector at each point (x,y).

The gradient of f(x,y) is given by:

grad(f) = (∂f/∂x)i + (∂f/∂y)j

= 4x^3 i + 4y^3 j

This tells us that at each point (x,y), the vector has a magnitude of sqrt((4x^3)^2 + (4y^3)^2) = 4sqrt(x^6 + y^6) and is pointing in the direction of (4x^3, 4y^3).

To plot the vector field, we can choose a set of points (x,y) on a grid and calculate the corresponding vectors. We can then draw an arrow at each point (x,y) with the length and direction given by the corresponding vector.

Alternatively, we can use software such as MATLAB or Python with a suitable library like matplotlib to plot the vector field. Here is an example code in Python:

import numpy as np

import matplotlib.pyplot as plt

# Define the vector field function

def f(x, y):

   return np.array([x**4, y**4])

# Define the grid of points to plot

x = np.linspace(-1, 1, 20)

y = np.linspace(-1, 1, 20)

X, Y = np.meshgrid(x, y)

# Evaluate the vector field at each point

U, V = f(X, Y)

# Plot the vector field

plt.quiver(X, Y, U, V)

# Add labels and show the plot

plt.xlabel('x')

plt.ylabel('y')

plt.title('Vector Field for f(x,y) = x^4, y^4')

plt.show()

This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.

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Answer:

35cm

120cm^2

Step-by-step explanation:

Answer:

1. The perimeter of figure a is 36 cm.

2. The area of figure a is 60 cm².

3. The perimeter of figure b is 14.25 in.

4. The area of figure b is 7.031 in².

If it's wrong tell me

The minimum, first quartile (q1), median, third quartile (q3), and maximum number of wins for the 32 teams in the 2016 season can be determined by analyzing the data.

To find the minimum number of wins, we look for the lowest value in the dataset. Similarly, to find the maximum number of wins, we look for the highest value in the dataset.

The first quartile (q1) represents the point below which 25% of the data falls. To find q1, we arrange the data in ascending order and find the median of the lower half.

The median represents the middle value of the dataset when arranged in ascending order. If the dataset has an even number of values, the median is the average of the two middle values.

The third quartile (q3) represents the point below which 75% of the data falls. To find q3, we arrange the data in ascending order and find the median of the upper half.

By analyzing the data for the 32 teams in the 2016 season, we can determine these values. The median represents the middle value of the number of wins, while the minimum and maximum numbers of wins correspond to the lowest and highest values in the dataset, respectively.

Please note that without the actual dataset, it is not possible to provide specific values for the minimum, median, third quartile, and maximum number of wins. These values would need to be calculated based on the available data.

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Answer:

47°

Step-by-step explanation:

The given angle and its complement sum to 90°, thus

complement = 90° - 43° = 47°

Answer:

Triangle=1      square=2

gear=3            pentagon=4

I hopes this helps you :)

The factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,

\(2x^2(7x^4 +4x+2)\)

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial in the problem is,

\(14x^6 +8x^3+4x^2\)

Take out the greatest common factor from the above expression. As the greatest common factor of the above polynomial is 2 (14, 8, 4), which can divide each terms. Therefore,

\(2(7x^6 +4x^3+2x^2)\)

Now take out the greatest common factor in terms of variable x. The lowest power of x is 2. Therefore, the equation become,

\(2x^2(7x^4 +4x+2)\)

Thus, the factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,

\(2x^2(7x^4 +4x+2)\)

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Answer:

A. 2x^2 (7x^4 + 4x +2)

Answer:

-2 3/20 or -2.15

Step-by-step explanation:

There is an app you can get on your phone called fraction calculator, its an app for mulitplying, dividing, adding, and subtracting any number with a fraction:)

Answer: D (12.42, 18.09)

Explanation:

For A, if you substitute them, 6.15+2.41(x because x always is first), you get 8.56 but y is 8.56. So therefore, A is wrong cause it is a solution but it asks us for an incorrect solution.

For B, if you substitute the numbers, 6.09+6.15 = 12.24 but y is 12.24 meaning 12.24 = 12.24 which is true. But the question asks us which is not true/a solution, so therefore, B is also wrong.

For C, if you substitute the numbers, you get 9.72+6.15 which is 15.87. Since y is 15.87, the substituted question is 15.87=15.87 which is true and therefore, C is also wrong since it is true but it is asking us for an incorrect solution.

We are then left with D, which is the correct option. I'm guessing you want an explanation for why it is correct. So if you substitute the numbers, you would get y = 12.42+6.15 and 12.42+6.15 is 18.57 but y is 18.09. So the equation is 18.09 = 18.57 which doesn't make sense and is false. Thus, D is the correct answer because it provides a set of numbers that is a false solution to the equation.

REMEMBER:

In an ordered pair, x is the first number while y is the second, so make sure you substitute correctly!

Answer:

The values of the multiplications are as follows:

1) 35/72

2) 7/16

3) 9/40

4)  10/3

5) 30/49

6) 1/5

Given,

Fractional multiplications.

Here,

In fractional multiplication the numerators are multiplied together and denominators are multiplied together.

The result can be further simplified .

So,

1)

7/9 × 5/8 = 35/72

2)

4/8 × 7/8 = 28/64

Further simplifying,

Divide numerator and denominator by 4,

= 7/16

3)

6/10 × 3/8

= 18 / 80

Divide numerator and denominator by 2,

= 9/40

4)

4 × 5/6

= 20/6

Divide numerator and denominator by 2,

= 10/3

5)

5/7 × 6/7

= 30/49

6)

2/5 × 4/8

= 1/5

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