Mrs. Santiago's consumer science class is making two different-size cheesecakes for
a fundraiser.
The large cheesecake has a diameter of 12 inches
The small cheesecake has a diameter of 4 inches
Part A: If the pans are both 3 inches deep, how many times greater is the volume
Of the large pan than that of the small pan? Show your work
Part B: When shipped, the large cheesecakes will be packaged in a box with dimensions of 12 in x
12 in x 3 in. What percentage of the box does the large cheesecake take up?
Show all work for each part and give at least 2 sentences explaination for each part.

Explanation:

Point N is at (1,3)

We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.

The old x coordinate x = 1 becomes x-4 = 1-4 = -3

The old y coordinate y = 3 becomes y-3 = 3-3 = 0

The point N(1,3) moves to N ' (-3, 0)

Answer:

Kate is 13years and 4 months old,I suggest.

Diagram attached

Answer:

72 degrees

Explanation:

From the diagram, angle on a straight line add up to 180 degrees.

180 degrees - 144 degrees = 36 degrees.

Sum of the angles in a triangle= 180 degrees

Angles x and the other are congruent(the marks from the diagram indicate).

Therefore sum of the congruent angles= 180 degrees - 36 degrees = 144 degrees

Angle x= 144/2= 72 degrees

Answer:

y= 5x/7 -27/7

if they are parallel there gradient is the same

m1=m2

y-y1=m(x-x1)

plug in the gradient and points E

y-(-3)=5/7( x-4)

y= 5/7(x) -20/7 +3

final answer

y= 5/7(x) +1/7

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

Answer:

The other rational number in the operation given is:

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

Where:

Now we are going to solve r to identify its value in numbers:

As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

In this form, we know the result is correct.

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Answer: A. perpendicular

Step-by-step explanation: First, you have to determine the slope of both lines and you can do so using the slope formula: (y2 - y1)/(x2 - x1). You should get the slope -2/5 for the first line and 5/2 for the second. Because one line has a slope that is the negative reciprocal of the other, these lines are perpendicular.

Answer:

Step-by-step explanation:

1 OF 3OR5

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

Answer:

Step-by-step explanation:

We could invent set B:  {-2, 1, 3, 5, 6, 10} and then correctly state tht set A is a subset of B, because {-2, 1, 3} is also found in A.

Answer:

gracias por los puntos xd

Answer:

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

[tex]a=\pi r^2/2[/tex]

3.14 will be used for pi!

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

[tex]a=lw[/tex]

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

[tex]32/2=16[/tex]

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

[tex]\pi 16^2/2=401.92[/tex]

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

[tex]14*32=448.[/tex]

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

[tex]401.92+448[/tex]

[tex]=849.92[/tex]

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

Answer: Cosine

This is because cosine involves the adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Answer:

20 % increase in Area

Step-by-step explanation:

1.  Original Rectangle Area = 150cm ²

2. 20% of 15 is 3

3. Increased length is equal to 18

4. Increased Rectangle Area = 180cm ²

5. Ten percent of 150 = 15.

6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.

7. 2 ten percent equals 20%

8. Answer is 20%.

Answer:

3x+12

Step-by-step explanation:

-0.5x*2+4x+12

Multiply 0.5x*2=x

= -x+4x+12

Add similar elements -x+4x+12

= 3x+12

Answer:

second option

Step-by-step explanation:

y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)

2y = 180 - 38

y = 142/2

y = 71 degree

Answer:

71 degrees

Step-by-step explanation:

Hi there!

All the interior angles of a triangle add up to 180 degrees.

Knowing this, we can construct the following equation:

[tex]180=y+y+38\\180=2y+38[/tex]

Subtract 38 from both sides

[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]

I hope this helps!

Answer:

see below

Step-by-step explanation:

-90 degrees, the rule is (x, y) --------> (-y, x)

The leftmost point is at (1,1) so it will be at (-1, 1)

The top right point is at (4,1) so it will be at (-1,4)

The bottom right point is at (4,-1) so it will be at (1,4)

Answer:

Part A

a. Could be a parallelogram but cannot be a rectangle

Part B

c. 100°

Step-by-step explanation:

Part A

The polygon constructed by Andrew = Four sided polygon having no right angles

From the given four sided polygon (quadrilateral) options, the options which can have no right angles are the parallelogram, and rhombus

The rectangle, and square both have 4 right angles

Therefore, the polygon can be either a parallelogram or a rhombus, but cannot be either a rectangle or square

The correct option is therefore, 'His polygon could be a parallelogram but cannot be a rectangle'

Part B

The given parameters of the rhombus EFGH are;

Angle E = 3·x + 5, angle H = 4·x

The characteristics of a rhombus are;

The sum of the interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal

The sum of the adjacent angles = 180° (The adjacent angles are supplementary)

Therefore, in the rhombus EFGH, we have;

Angle E, and angle H are supplementary angles

∴ Angle E + angle H = 180°

Substituting the values of angle E and angle H gives;

3·x + 5 + 4·x = 180°

7·x = 180° - 5 = 175°

x = 175°/7 = 25°

Angle H = 4·x

∴ Angle H = 4 × 25° = 100°

Angle H = 100°

Angle F = angle H = 100°

Therefore, angle F = 100°

Answer:

53 1/3% for the first answer, and 33 1/3% increase for the second answer

Step-by-step explanation:

Ok, lets start up witht eh first question.

We need to find the percentage of studens that find math the be their favorite subject in elementary school.

We know that there are 15 kids in total.

We specificly see that 8 of those kids like math the most.

To find percentage, divide 8 by 15.

Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.

Next we need to find the percentag eof change that history is over elementary school to high school.

This might sound confusing, but this is basically just a change of 3 students to 4 students.

To find percentage, just divide 3 by 4:

This gets you 33 1/3%

Hope this helps!

Step-by-step explanation:

yes that's the answer

can you please give me brainliest

and use DESMOS app for drawing graphs

Answer:

3rd choice

Step-by-step explanation:

Similar triangles have congruent angles and proportional sides

They look similar but size may vary

Answer:

Step-by-step explanation:

1) . .324, 972, 2916

2) ...2500, 12500, 62500

3). . 80, 160, 320

Answer:

mark me as a brainleast

Step-by-step explanation:

iam not undeerstand on your qiestion write it beautiful words

Answer:

40% profit

Step-by-step explanation:

There is a profit of $50.

If you were to find the percentage, you would divide 50 by 125. This would give you 0.4

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .