Calcula los angulos indicados en cada figura.​

Answer: 6 units

Step-by-step explanation:

Since this is just a reflection, the length of A'C' shouldn't be different from the length of AC.

Answer:

There are 15 Black tokens.

Step-by-step explanation:

If the ratio is 8:5 we divide 24 by 8 to get 3. We then do 5 x 3 for the black tokens and get 15.

The number of black tokens in the bag are 15.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

In the bag, there are 24 green tokens in the bag.

And, The ratio of green tokens to black tokens is 8 to 5.

Now,

There are 24 green tokens in the bag.

And, The ratio of green tokens to black tokens is 8 to 5.

So, Number of green tokens = 8x

And,  Number of black tokens = 5x

Hence, We can formulate;

⇒ 8x = 24

⇒ x = 3

Thus, Number of black tokens = 5x

                                               = 5 × 3

                                               = 15

Therefore, The number of black tokens in the bag are 15.

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Answer:

12.68

Step-by-step explanation:

76 degrees /2 = 38

Half the width of 15m forms the lower side of the triangle: 7.5 m

sin(38) = 7.5/h

=12.1820

12.18+.5

12.68

The z-score for which 99% of the distribution's area lies between -z and z is approximately ±2.575. This corresponds to option (-2.575, 2.575).

In statistics, the z-score represents the number of standard deviations an observation or data point is from the mean of a distribution. To find the z-score for which 99% of the distribution's area lies between -z and z, we need to determine the critical value z that leaves 0.5% of the area in each tail.

By looking up the z-score in the standard normal distribution table or using statistical software, we find that the z-score for a one-tailed 0.5% area is approximately ±2.575. Therefore, the z-score for which 99% of the distribution's area lies between -z and z is approximately ±2.575, as stated in option (-2.575, 2.575).

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The small boxes weigh 30 pounds, and the large boxes weigh 45 pounds.

Let the weight of the small box be x, and the weight of the large box be y. Then we have the following system of equations:x + y = 75 - Equation 1
We can see from the question that the truck is transporting 55 large boxes and 50 small boxes.
Therefore:55y + 50x = 3975 - Equation 2
We can use equation 1 to solve for x in terms of y, by subtracting y from both sides:x = 75 - y - Equation 3
We can substitute equation 3 into equation 2, to obtain:
55y + 50(75 - y) = 3975
This simplifies to:55y + 3750 - 50y = 3975
Simplifying further:5y + 3750 = 3975
Subtracting 3750 from both sides:5y = 225
Dividing both sides by 5:y = 45
Substituting y = 45 into equation 3, we can solve for x:x = 75 - 45x = 30

Therefore, the small boxes weigh 30 pounds, and the large boxes weigh 45 pounds.

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Salut/Hello!

Answer: 20 ft

Step-by-step explanation:
We can imagine the ladder, wall and ground as a triangle.
(And because we don't know if our triangle has a 90 degrees angle it means it's an ordinary triangle.)

We know that a triangle that has an angle with 60 degrees means all of its angles have 60 degrees because 180 : 3 angles = 60 degrees which means the triangle is equilateral.

Definition of the equilateral triangle: The triangle that has the 3 side with the exact same length.


From the equilateral triangle we know all sides are equal. If the ladder is 20 ft that means the distance between the building and the base of the ladder (which is actually the base of our triangle) is 20 ft.

I hope it was useful! :]

Answer:

Finding the degree of a polynomial is really simple. All you have to do is find the largest exponent in the polynomial, so in this case, the degree is 5 (Yes, my previous answer is wrong) and not 26. I don't know how you got 26.

Another example: In 3x² - 8x⁷ + 6xy⁴, the degree is 7.

Step-by-step explanation:

Length of the rectangular floor of a classroom = 30 feet

Width of the rectangular floor of a classroom = 38 feet

Length of the floor in a scale drawing = 15 inches

Which means, 1 inch is equal to :

\( = \tt\frac{30}{15} \)

\( = \tt2 \: feet\)

Thus, 1 inch in the drawing is equivalent to 2 feet of the floor.

Then, width of floor in the scale drawing :

\( = \tt\frac{38}{2} \)

\( = \tt19 \: inches\)

Thus, the width of the floor in the scale drawing = 19 inches

Perimeter of the floor in the scale drawing :

\(= \tt2(length + breadth)\)

\( =\tt 2(15 + 19)\)

\( =\tt 2(34)\)

\( =\color{plum}\tt68 \: inches\)

Thus, perimeter = 68 inches

Therefore, the perimeter of the rectangular floor in the scale drawing = 68 inches

Answer:

P = 2L + 2W

W = 5

P = 2L + 2(5) = 16

2L + 10 = 16

2L = 6

L = 3 ft

Step-by-step explanation:

So we know that the perimeter of a rectangle= 2 (length + width).

We set up the equation so it's 16= 2 (length+ 5)

Divide both sides by 2, so 8 = length + 5.

Subtract 5 from both sides and you get length = 3

Answer:

14 units

Step-by-step explanation:

To find the perimeter of a rectangle, use the formula p=2l+2w

First, graph the points.  You can count the units of the length and width of the rectangle. For the length, you'll get 5 units, and for the width, you'll get 2 units.

Use the formula and substitute what we know.

p=2(5)+2(2)

p=10+4

p=14

The perimeter is 14 units.

Marta wins the game is rolling a sum of 6. However, it is important to note that the exact outcome that Marta needs to win the game depends on the specific conditions and probability of the game.

It is difficult to determine the exact outcome that Marta needs to win the game without additional information. However, we can make some assumptions and analyze the probability of each option.

If Marta has a lower probability of winning than Elena, then the outcome that Marta needs must have a lower probability than the probability of rolling an even number first and a number less than 3 second. The probability of rolling an even number first is 3/6 or 1/2, and the probability of rolling a number less than 3 second is 2/6 or 1/3. The product of these probabilities is 1/2 × 1/3 = 1/6, which is the probability of Elena winning the game.

Option 1: Rolling a sum of 7

The probability of rolling a sum of 7 is 6/36 or 1/6, which is higher than the probability of Elena winning the game. Therefore, this option is not possible.

Option 2: Rolling a sum of 6

The probability of rolling a sum of 6 is 5/36, which is lower than the probability of Elena winning the game. Therefore, this option is possible.

Option 3: Rolling a sum of 2 or a sum of 9

The probability of rolling a sum of 2 is 1/36 and the probability of rolling a sum of 9 is 4/36. The sum of these probabilities is 1/36 + 4/36 = 5/36, which is higher than the probability of Elena winning the game. Therefore, this option is not possible.

Option 4: Rolling a sum that is greater than 9

The probability of rolling a sum that is greater than 9 is 4/36 or 1/9, which is higher than the probability of Elena winning the game. Therefore, this option is not possible.

Option 5: Rolling a sum that is greater than 2 but less than 5

The only possible sums that satisfy this condition are 3 and 4. The probability of rolling a sum of 3 is 2/36 or 1/18, and the probability of rolling a sum of 4 is 3/36 or 1/12. The sum of these probabilities is 1/18 + 1/12 = 5/36, which is higher than the probability of Elena winning the game. Therefore, this option is not possible.

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Answer:

I think the final cost would be:

562.86

Step-by-step explanation:

:))

Answer:

Step-by-step explanation:

Given the inequality expression |x| < a. The two cases for solving the expression are x<a and -x < a (or x>-a)

Note that the absolute value of a number will return both its positive and negative value. That's why the value of x i.e |x| returns both x and -x in the expression above.

The connecting word of the expression is that 'the absolute value of variable x is less than a' where a can take any value.

The unit rate is the rate for 1 item.Let's use unitary method to find the unit rate.Cost of 35 diapers = $6.99Cost of 1 diaper = (6.99/35) dollarsCost of 1 diaper = $0.199714

The given problem is asking us to find the unit rate for 1 diaper when the cost of 35 diapers is $6.99. To find the unit rate, we need to use the unitary method. The unitary method is a technique that is used to solve problems that involve proportions and ratios. The unit rate is the rate for 1 item. To find the unit rate, we will divide the cost of 35 diapers by 35. This will give us the cost of 1 diaper. The unit rate is the cost of 1 diaper.

We can then express the unit rate in dollars. The cost of 35 diapers is $6.99. This means that the cost of 1 diaper is (6.99/35) dollars. We can simplify this fraction to get the cost of 1 diaper. The cost of 1 diaper is $0.199714. Therefore, the unit rate for 1 diaper is 0.199714 dollars.

The unit rate for 1 diaper when the cost of 35 diapers is $6.99 is 0.199714 dollars. The unit rate is the cost of 1 item. To find the unit rate, we need to use the unitary method. The unitary method is a technique that is used to solve problems that involve proportions and ratios. We can express the unit rate in dollars by dividing the cost of 35 diapers by 35. This will give us the cost of 1 diaper. We can then simplify this fraction to get the cost of 1 diaper.

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Option a) $213.34 is the correct answer.

Given that, Suppose that you are 34 years old now and that you would like to retire at the age of 75. Furthermore, you would like to have a retirement fund from which you can draw an income of $70,000 annually. You plan to reach this goal by making monthly deposits into an investment plan until you retire. The amount to be deposited each month needs to be calculated. It is assumed that the annual interest rate is 8% and compounded monthly.

The formula for the future value of the annuity is given by, \(FV = C * ((1+i)n -\frac{1}{i} )\)

Where, FV = Future value of annuity

            C = Regular deposit

            n = Number of time periods

            i = Interest rate per time period

In this case, n = (75 – 34) × 12 = 492 time periods and i = 8%/12 = 0.0067 per month.

As FV is unknown, we solve the equation for C.

C = FV * (i / ( (1 + i)n – 1) ) / (1 + i)

To get the value of FV, we use the formula,FV = A × ( (1 + i)n – 1 ) /i

where, A = Annual income after retirement

After substituting the values, we get the amount to be deposited as $213.34.

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Answer:

(6,0)

Step-by-step explanation:

Solving a system of equations is finding where 2 (or more) lines intersect.

Graph the lines:

y = x/6 - 1

and

y = -2/3x + 4

(linked)

Look at where they intersect (meet).

(6,0)

Answer:

56 feet

Step-by-step explanation:

There are 14 “fourths” in 3 1/2. If each fourth is 4 feet, then 14 x 4 = 56 feet

we have

f(x)=2x^3+4x^2-2x-4

using a graphing tool

Find out the zeros of the given function

see the attached figure

the zeros are

-2, -1 and 1

that means

2x^3+4x^2-2x-4=2(x+2)(x+1)(x-1)

therefore

Answer:

A

Step-by-step explanation:

It would be A because it is in parentheses, and you do what ever is in the parentheses first because of PEMDAS

Answer:

(4+2) x 3

Step-by-step explanation:

for this we use the pemdas method. parenthesis first*

The amount Bao paid for the pair of shoes is given by A = $ 38.60

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the amount Bao paid for the pair of shoes be represented as A

Now , the initial amount for the pair of shoes be = $ 46

And , the percentage of discount = 30 %

So , the amount for the pair of shoes after discount = ( 70/100 ) x initial amount for the pair of shoes

On simplifying the equation , we get

The amount for the pair of shoes after discount = ( 70/100 ) x 46

The amount for the pair of shoes after discount = $ 32.20

Now , the percentage of processing fee = 20 %

And , the amount after the processing fees = ( 120 / 100 ) x amount for the pair of shoes after discount

On simplifying the equation , we get

The amount after the processing fees = ( 120 / 100 ) x 32.20

The amount after the processing fees = $ 38.64

Hence , the amount for the pair of shoes is $ 38.60

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Answer:

  A (-2, 5)

Step-by-step explanation:

The attached shows the rectangle and the offered points. The point not on the rectangle is A(-2, 5).

__

If we examine the coordinates, we see that the y-values must be -2 or 3 for a point to be on the rectangle. Similarly, the x-values must be -2 or 5.

The offered point A has an appropriate x-value, but not an appropriate y-value. Point A is not on the rectangle.

Answer:

1/9 (2m - 16) = 1/3 (2m + 4)

expand

2/9m- 16/9 =2/3m +4/3

move m to other side

- 16/9 =2/3m (-2/9m) +4/3

simplify

- 16/9 =(6-2)/9m +4/3

- 16/9 =4/9m +4/3

move 4/3 to other side

- 16/9 -4/3 =4/9m

- 16/9 -12/9 =4/9m

-28/9 = 4/9m

multiply by 9

4m= -28

m= -7

Step-by-step explanation:

(f o g)(x)

= f(3x² - 5)

= (3x² - 5) + 2

= 3x² - 3.

(f.g)(x) = 3x^2 - 3

f(x) = x + 2
g(x) = 3x^2 - 5

equation is the relationship between variable and represented as     is example of polynomial equation.

f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3

Thus, (f.g)(x) = 3x^2 - 3

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

Step-by-step explanation:

a) 9.80- 98/10

b) 7.3- 73/10

a) 7/100- 0.07

b) 82/10- 8.2

Hope this helps

Fraction:

a) 98/100

b) 73/10

Decimal:

a) 0.07

b) 8.2

The function g(x) that satisfies the given PDF of Y is g(x) = Y = 3x².

To find the function g(x), we need to use the transformation method. We know that Y = g(X), so we can use the following formula:

fY(y) = fX(x) * |dx/dy|

where fX(x) is the PDF of X, and |dx/dy| is the absolute value of the derivative of g(x) with respect to y.

In this case, X is a uniform random variable with parameters 0 and 1, so its PDF is:

fX(x) = 1 for 0 <= x <= 1, 0 otherwise.

Now we need to find g(x) such that fY(y) = 3y² for 0 <= y <= 1, 0 otherwise. Let's set g(x) = Y = 3x².

Then, we can find the derivative of g(x) with respect to y:

dy/dx = 6x

|dx/dy| = 1/|dy/dx| = 1/6x

Now we can substitute fX(x) and |dx/dy| into the formula:

fY(y) = fX(x) * |dx/dy|
fY(y) = 1 * 1/6x
fY(y) = 1/6(√y)

We can see that this matches the desired PDF of Y, which is 3y² for 0 <= y <= 1, 0 otherwise.

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Answer:

The lost 20 yards is 20-

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Answer:

I did it before and THEY REMOVED IT >:(

Step-by-step explanation:

Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

Answer:

The answer is option C

Step-by-step explanation:

The roots of the quadratic equations are x= 6 or x= -4

X-6=0 or x+ 4=0

⇒(x-6)(x+4)

F(x)=(x-6)(x+4)