Using the diagram below, select all angles that are congruent.DLEoThere are three answers.O ZDOCО / ВОСO ZAOCZAOBZDOBEODDEOCO

Explanation

We are asked to find the total area of the figure

To do so, we will split the area into 2 as shown below

For figure A

We have a trapezoid

The area of a trapezoid is

For figure B

The figure is a parallelogram

The area of a parllelogram is given by

Therefore, the total area is the sum of the areas of the two figures which will be

Thus, the area is 195 yd²

For a direct variation between each point (x, y),

For (x₁, y₁) = (3, 12),

To find n, consider (n, 8) = (x, y)

Substituting,

Therefore, the value of n is 2

SOLUTION

Given the question in the question tab, the following are the solution steps to calculate the amount to be deposited

STEP 1: Write the formula for Future value annuity

Where:

FV = present value of an ordinary annuity

P=value of each payment

r=interest rate per period

n=number of periods

STEP 2: Write the given parameters

STEP 3: Calculate the P

Hence, the amount that must be deposited now is approximately 1884.76 to the nearest cents

onIn order to solve this, we have to add the number of floors the elevator goes up and subtract the number of floors the elevator goes down, like this:

Initially, it goes down 9 floors since it was at the 10th floor we get:

10 - 9 = 1

Then, after it goes down 9 floors it gets to the first floor, then it goes up 19 floors , now we get:

1 + 19 = 20

After it goes up to the 19th floor from the fits one, it gets to the 20th floor, then it goes down 3 floors, now we get:

20 - 3 = 17

After it goes down 3 floors it gets to the 17th floor, then it goes 12 floors down from the 17th floor:

17 - 12 = 15

At the end, the elevator ends up in the 15th floor

Answer:

C

Explanation:

Given the below equation;

We're also given;

Let's substitute the given values into the equation, we'll have;

Let's subtract 1/25 from both sides of the equation;

Let's cross multiply;

Given:

The table represents the data collected at a sandwich shop for the last six months with respect to the type of bread

We will find P(cheese | wheat)

We will use the following formula:

Let A represents cheese, and B represents wheat

From the table:

So, the probability will be as follows;

So, the answer will be:

P(cheese | wheat) = 12/19 = 0.63

the two points are,

A(2,8)

B (6,-4)

the equation of the line in the slope intercept form is,

thus, the equation of the line is

y = -3x + 14

In this problem we know that the initial velocity in the horizontal axis is 25, however the initial velocity in the y axis will be o so we can use this equation:

So to find the time the object get the grownd we can replace the initial high for 5 miter, the final one for 0 and the aceleration by -9.8 (gravity) so:

and we solve for t so:

So the projectil takes one secon to hit the grownd

The 32 students in Mrs. Colby's class will share 80 slices of pizza equally. How many slices will each student get? Enter the correct answer to complete the statement. The students will each get slices. Explain how to get the fraction after you find the remainder. The slices leftover can each be cut in ? giving everyone another? v of a slice.​

step 1

Divide 80 by 32

80/32=40/16=20/8=10/4=5/2=2.5=2 1/2

each student get 2 1/2 slices

2 1/2=2+0.5=2+1/2

the fraction is 5/2

so

5/2=4/2+1/2=2+1/2=2 1/2

we have 32 students by 2 1/2

so

32 students by 2

32*2=64 slices

the remainder is

80-64=16 slices

divide 16 by 32

16/32=1/2

therefore

2+1/2=2 1/2

the answers part 2 are

The 16 slices leftover can each be cut in 2 half........giving everyone another (1/2) of a slice

Transformation:

The coordinate of B in (x, y) we can get from the graph, which is (-2, 1):

Thus, the transformation based on the information given is:

Simplifying:

Answer: C) (0, -2)

[tex]Cos^{2}x[/tex] is the solution for the expression [tex](Cosx)(secx) - sin^{2}x[/tex]

The given expression is:

[tex](Cosx)(secx) - sin^{2}x[/tex]

Recall form Pythagorean Identity that;

[tex]secx = \frac{1}{cosx}[/tex]

We apply this property to obtain;

[tex](cosx)(\frac{1}{cosx}) - sin^{2}x[/tex]

By simplifying we get that;

[tex]1 - sin^{2}x[/tex]

Recall from the Pythagorean, we identity that;

[tex]1 - sin^{2}x = cos^{2}x[/tex]

Hence the answer is  [tex]cos^{2}x[/tex]  is the solution for the expression [tex](Cosx)(secx) - sin^{2}x[/tex]

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Answer:

Explanations:

Given the following parameters;

Original price of shoe = $150

If the price is increased by 40%, the new price will be expressed as:

If the the owner reduces the price of the shoes by 40% due to falling price, hence;

Starting from the first question, we want:

Let's start from the inside part:

Since the inside of "g" is 8, this means we need to check for the row with x = 8, thay is, "8" in the column "x". Finding this row, we check the value in this row and column "g", which is "4".

This means that:

Now, we can substitute this back in:

And we can do similarly. We check the row which has "4" in the "x" column and see the corresponding value in column "f". We can see that it is also "4", so, the answer for the first is:

Lastly, for the second, we do the same thing, the inside part is:

So, we got to line x = 5 and check column "f". It is 0, so:

Now, we check row x = 0 and column "g" to find "9", so:

Thus, the answer for the second is:

The function that is graphed here is option A;

y = {x³ - 3, x ≤ 2 and x² + 6, x > 2

Given,

The graph

Function;

A function is a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have to find the function that is graphed here from the given options.

Here,

The function that is graphed here is option A;

y = {x³ - 3, x ≤ 2 and x² + 6, x > 2

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You have the following transformation:

The previous function if a parabola. the Parent Function of any parabola is:

All others parabolas can be obtained by applying transformation to the Parent Function.

If you expand the parenthesis of F(x), you obtain:

The dominant term, that is, the term with the variable x powered to 2, has a negative coefficient, it demands that the parabola open DOWN.

The coefficient of the dominant term is -3, then I-3I = 3 > 1. It means that the function stretches away from the x-axis.

The function streches way from x-axis by a factor of 3 units.

Vertical movement Up with 5 units. This is becasue the constant of the function, 5, which means the vertical translation of the Pater Function, if the constant is positive the translation is upward, if the translation is negative, it is downward.

Horizontal translation Left with 1 untit. The horizontal trasnlation is given by the constant term inside the quadratic parenthesis, in this case is + 1, whichi represents a translation of the graph to the left.

x = -4, 0, 6

The given equation is:

The equation can be re-written as:

x = -4, 0, 6

the greatest commmon factor of 56 and 32 is 8

so in order to use the distributive property

8(7+4)=56+32=88

To form a triangle the three angles must follow the inequality principle that says: The sum of any two sides must always be greater than the length of the third side. With this in mind let's check the angles.

For the first item we have:

Since the second inequality is invalid the angles don't form a triangle.

For the second item we have:

Since all the inequations are valid then the angles form a triangle. Since all the angles are smaller than 90 degrees, then this is an acute triangle.

For the third item we have:

Since the second inequation is invalid, then the angles don't form a triangle.

For the fourth item we have:

Since all the inequalities are valid, then the angles form a triangle. All of its angles are smaller than 90 degrees, therefore this triangle is an acute triangle.

Given that :

the radius of the cylinder and sphere = 4 units

the height of the cylinder (h) is equal to the diameter (d) of the sphere

the diameter of the sphere = 2 x radius = 2 x 4 = 8 units

also, the height of the cylinder = 8 units

The volume of the cylinder can be calculated using the formula:

The volume of the Cylinder

Answer:

Given that :

the radius of the cylinder and sphere = 4 units

the height of the cylinder (h) is equal to the diameter (d) of the sphere

the diameter of the sphere = 2 x radius = 2 x 4 = 8 units

also, the height of the cylinder = 8 units

The volume of the cylinder can be calculated using the formula:

The volume of the Cylinder

Step-by-step explanation:

Answer:

87%

Explanation:

• Kaira's gross pay = $6,820

• Deductions = $917.27

First, determine her take-home pay.

Next, determine what percent of her gross pay is her take-home pay.

87% of her gross pay is her take-home pay.

Given

Probability distribution table

Find

Mean and standard deviation

Explanation

mean for probability distribution is given by

so , mean

standaed deviation

Final Answer

mean = 1.79

standard deviation = 4.97

Answer:

70/100

Explicación:

2 fracciones son iguales si una de ellas puede ser calculada multiplicando el numerador y el denominador de la otra por el mismo número.

Por lo tanto, 7/10 es equivalente a:

Multiplicamos por 10 arriba y abajo para que el denominador fuera 100. De este modo obtemos que 7/10 es igual a 70/100.

We get that the volume of the figure is the volume for the rectangular prism and the cylinder with radius 4

23.8%

Explanation:

Since 0.238 represent the frequency of male who eats chicken

0.238 / 100 = 23.8%

Answer: 52.4%

Step-by-step explanation: I took the test and that was the correct answer.

Recall that the quadratic formula states that, the solutions to the quadratic equation

are

Now, in the given equation, a=-1 ,b=-6, and c= 8. Therefore, the solutions to the equation are:

Simplifying the above result, we get:

Answer:

Exercise: Calculate the sign of cos(-302°) and sin(-302°).

We can know the sign of the trigonometric value of an angle depending on which quadrant the angle is located. In the case of cosine and sine, we have the following rules:

Let's calculate the sign of cos(-302°) first. Note that the angle within the cosine is negative; this means that it must be measured from the x-axis clockwise. Now, every quadrant has a total measure of 90°; then, dividing 302 by 90 we obtain

which means that -302° goes through two complete quadrants and a partial part of a third one. Since we must measure the angle clockwise, -302 lies in the first quadrant.

By the diagram above, the sign of -302° is +.

On the other hand, looking at the sine diagram, we see that the sign of sine(-302°) is + as well.

The signs of cos(-302°) and sin(-302°) are both +.

The total cost is $19,000, but Marie already did a payment of $4,500, so the remaining cost is:

Now, this remaining cost was paid in 50 equal monthly payments, so in order to find the value of this monthly payment, we just need to divide the remaining cost by 50:

So Marie paid $290 per month.

In order to calculate the volume of a cylinder, we can use the following formula:

Where r is the base radius and h is the height.

If the circumference is 8, we have:

Now, calculating the volume, we have:

So the correct option is the second one.

Given the data set (ages of grandparents):

52, 54, 57, 61, 56, 61, 67, 64, 63, 57, 60, 50

Let's create a five-number summary that represents the given data set and also create a box plot.

A) A five number summary of a data set consists of the following:

• Minimum value

• First quartile

• Median

• Third quartile

• Maximum value

Let's determine the five-number summary of the given data set.

• Minimum value:

The minimum value is the smallest number from the given data set.

Thus, the minimum is = 50

• First quartile:

The first quartile is also called the lower quartile. It is the median of the lower half of the data set.

To find the first quartile, list out the lower half of the data set after arranging the data in acsending order.

Arrange in ascending order: 50, 52, 54, 56, 57, 57, 60, 61, 61, 63, 64, 67

Lower half: 50, 52, 54, 56, 57, 57

Median of lower half:

Therefore, the first quartile is = 55

• Median:

Median is the middle term of the data set.

50, 52, 54, 56, 57, 57, 60, 61, 61, 63, 64, 67

The middle terms are = 57 and 60

To find the median, divide the sum of the middle terms by 2.

Thus, we have:

Therefore, the median of the data set is 58.5

• Third Quartile:

The third quartile is also called the upper quartile. It is the median of the upper half of the data set.

Upper half of data set = 60, 61, 61, 63, 64, 67

Median of upper half =

Therefore, the third quartile is 62

• Maximum value:

The maximum value is the greatest number in the given data set.

The greatest number in the data set is 67.

Therefore, the maximum value is 67.

We have the five-number summary that represents the data set below:

• Minimum = 50

• First quartile = 55

• Median = 58.5

• Third quartile = 62

• Maximum = 67

b) Let's create a box plot that represents the data set.

We have the box plot below:

The volume of the tank can be calculated using the Volume of a cylinder formula, which is:

Where:

v = volume;

r = radius;

h = height.

In this exercise:

r = Diameter/2 = 12/2 = 6 ft

h = 16 ft

So, substituting the values:

Using π = 3.14:

Answer:

The volume of the tank is 1809 ft³.