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A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the cheesecake is 10 inches, and the area of the slice of blueberry cheesecake is 25π16 square inches.

How many slices does the cheesecake have?

Answer:

well by using the formulae a²+b²=c² with "a" being the opposite "b" being the adjacent and "c" being hypotenuse

Answer:

BY LEARNING  Pythagorean Theorem Formula Proof using Similar Triangles

Step-by-step explanation:

In a right-angled triangle, the Pythagoras Theorem Formula is expressed as:

c2 = a2 + b2

Where,

'c' = hypotenuse of the right triangle

'a' and 'b' are the other two legs.

Answer:

y^3

Step-by-step explanation:

x^3 y^3     and    y^4  

y^3 * x^3     and y^3  * y

The function g(x) gets shifted toward right by 6 units. Then the correct option is C.

The complete question is attached below.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function f(x) is given below.

f(x) = 10ˣ

And the function g(x) is given as

g(x) = f(x – 6)

Then the function can be written as

[tex]\rm g(x) = 10^{x - 6}[/tex]

The function g(x) gets shifted toward right by 6 units.

Then the correct option is C.

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Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

[tex] \frac{ - 6 + 6)}{2} = 0[/tex]

[tex] \frac{0 + 0}{2} = 0[/tex]

So our vertex is (0,0).

So our equation become

[tex] {y}^{2} = 4px[/tex]

The distance from the focus and directrix is 6.

So p=6.

[tex] {y}^{2} = 24x[/tex]

So p is 6.

Since p is 6,

[tex] \frac{ {y}^{2} }{24} = x[/tex]

Answer:

[tex]\sf B) \ y=-\dfrac{1}{5}x-4[/tex]

Explanation:

Equation: y = mx + b      [where "m" is slope, "b" is y-intercept]

The y-intercept (b) is -4

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here take two points: (0, -4), (5, -5)

[tex]\sf slope \ (m) : \dfrac{-5-(-4)}{5-0} = -\dfrac{1}{5}[/tex]

[tex]\sf Hence \ equation : y = -\dfrac{1}{5} x -4[/tex]

The value of x in the triangle is 117.2 units

The missing image is attached with the answer.

An equation is formed when two expression is equated by an equal sign to a constant , variable or an expression.

Cosine rule of Triangles is used and is given by

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

from the given data in the figure

c = 63

a = 61 and

angle B is 142 degree

x² = 63² + 61² - 2(63)(61) * cos(142)

On solving

x = 117.2

The value of x in the triangle is 117.2 units

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Answer:

d. 93 [tex]m^{2}[/tex]

Step-by-step explanation:

4×3= 12, 12/2 =6, 6×4 = 24

5×3= 15, 15×4= 60

3×3=9,

24+60+9= 93

To factor an expression, we can identify common factors between each terms, and take them out.

117n + 90

Both terms have the common factor of 9. Factor this out:

= 9(13n + 10)

13 and 10 do not have a common factor. Therefore, this is the final factored expression.

9(13n + 10)

The correct answer is option D which is ASA ( Angle - Side - Angle).

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);

Angles BAC and DCA are congruent (from the diagram);

AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent with the ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Therefore the correct answer is option D which is ASA ( Angle - Side - Angle).

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{4 + \sqrt{45} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{4}{6} + \cfrac{ \sqrt{45} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{3 \times 3 \times 5} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ 3\sqrt{5} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃  = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

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Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

What is a nonlinear function?

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃ = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

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Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

Answer:

Question 1: A. Replace one equation with a multiple of the other equation

Question 2: B. No

Step-by-step explanation:

1) How can we get System B from System A?

Choose 1 answer:

A. Replace one equation with a multiple of the other equation

B. Replace one equation with a multiple of itself

C. Swap the left-hand sides of both equations

D. Swap the order of the equations

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?

Choose 1 answer:

A. Yes

B. No

The answer to both questions is in bold and in the "Answer" section.

Hope this helps!

If not, I am sorry.

Answer:

$30 is the original price.

Step-by-step explanation:

Let x be the original price of the gift.  The sisters got a 10% discount, so the price paid by them is 0.90x.

The five sisters each paid $5.40, so the total they paid was:

5*($5.40) = $27.

This is equal to the 0.90x:  

0.90x = $27

x = $27/0.90

x = $30

Chocolates

Answer:

w = 3

Step-by-step explanation:

1/w = 1 2/3 / 5      cross multiply

1 2/3 (w) = 5

w = 5 / ( 1 2/3 ) =  5 / ( 5/3) = 15/5 = 3

The measure of angle XYZ in the parallelogram is: 71°.

In a parallelogram, the angles that are opposite each other are congruent.

Find m∠XWZ using the triangle sum theorem:

m∠XWZ = 180 - m∠WXZ - m∠WZX

m∠XWZ = 180 - 81 - 28

m∠XWZ = 71°

m∠XWZ = m∠XYZ [opposite angles are congruent]

m∠XYZ = 71°

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Answer:

71°

Step-by-step explanation:

I got it right on Edmentum

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See below for the vocabularies and their correct definition

Match the following vocabulary

The terms are given as:

To get the inverse of a conditional, the hypothesis and the conclusion are negated, without interchanging them.

So, we have:

Inverse of a conditional ⇒ A new statement formed by negating both the hypothesis and the conclusion.

To get the contrapositive of a conditional, the hypothesis and the conclusion are negated, after interchanging them.

So, we have:

Contrapositive of a conditional ⇒ Formed by exchanging the hypothesis and the conclusion and negating both of them.

To get the converse of a conditional, we simply interchange the hypothesis and the conclusion, without negating them

So, we have:

Converse of a conditional ⇒ A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.

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Answer:

The answer is Convers because it literally takes the hypothesis and the conclusion and interchanges them.

Step-by-step explanation:

Two pairs of corresponding angles are congruent, so the triangles are similar.

The correct option is (A).

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

As, the measurement of two angles are equal.

So, the angles are congruent.

Hence, by AA criteria the triangles are similar.

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Answer:

A

Step-by-step explanation:

"Law of conservation of Mass and Energy", is the reason for which it is important to keep the two sides of an equation balanced when solving.

The other properties that we should consider while rewriting the expressions of an equation is that we should not multiply or divide the expressions by zero on both the sides.

According to the law of conservation of mass, mass is neither generated nor destroyed during a chemical process. For instance, when coal is burnt, the carbon atom in it transforms into carbon dioxide. The carbon atom transforms from a solid to a gas, yet its mass remains constant. Similar to this, according to the law of conservation of energy, energy cannot be generated or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.

While rewriting expressions of an equation, we should not multiply or divide them by zero, as multiplying or dividing by zero makes two non-equal expressions equal (0 and ∞ respectively.

This is the reason why is it important to keep the two sides of an equation balanced, and that the expressions should not be multiplied or divided by zero.

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Answer:

DeltaMath allows teachers to create free online accounts and assign their students automatically-graded, interactive problems from a long list of modules sorted by level – from middle school Common-Core-aligned math to AP Calculus.

Step-by-step explanation:

please mark me brainlist and follow me

Answer:

0.74

Step-by-step explanation:

A tree diagram is a visual way of showing combinations of two or more events. The outcome of each branch is labelled at the end of the branch line and its probability is written alongside the branch.

To calculate the probabilities of each combination, follow the branches and multiply the probabilities together.

There are two possible combinations to get a final outcome of D:

Therefore, the probability of D is:

⇒ P(D) = P(A and D) OR P(B and D):

⇒ P(D) = 0.42 + 0.32

⇒ P(D) = 0.74

Answer: 55[tex]m^{2}[/tex]

Step-by-step explanation:

First find the area of the trapezoid: [tex]\frac{b1 +b2}{2}[/tex](h) : (base 1 + base 2) ÷ 2 x height

base 1 is 5m and we know the other base is parallel to the base of the rectangle so base 2 is 9m.

Since the total height is 7 m and the height of the rectangle is 5 m, subtract to get the height of the trapezoid: 7m - 5m = 2m

put the three values into the equation and solve:

(5m + 9m) ÷ 2 x 2m

(14m) ÷ 2 x 2m

7m x 2m

14[tex]m^{2}[/tex]

Find area of the rectangle which is just base x height

Which is 9m x 5m = 45[tex]m^{2}[/tex]

To find the total area, add the area of the trapezoid and the area of the rectangle. 14[tex]m^{2}[/tex] + 45[tex]m^{2}[/tex] = 55[tex]m^{2}[/tex]

Hope this helps

To eliminate the y terms and solve for x in the fewest steps, you can multiply the equations by appropriate constants so that the coefficients of the y terms in Both equations have the same magnitude but opposing signs. So to eliminate the y terms and solve for x in the fewest steps, you should multiply the first equation by 2 and the second equation by 3x

In this instance, you can do the following steps:

Start with the original equations:

Equation 1: 2x + 3y = 8

Equation 2: 3x - 2y = 4

To eliminate the y terms, multiply Equation 1 by 2 and Equation 2 by 3:

Multiply Equation 1 by 2:

2(2x + 3y) = 2(8)

4x + 6y = 16

Multiply Equation 2 by 3:

3(3x - 2y) = 3(4)

9x - 6y = 12

Now, add the two modified equations together to eliminate the y terms:

(4x + 6y) + (9x - 6y) = 16 + 12

4x + 9x + 6y - 6y = 28

13x = 28

Finally, solve for x by dividing both sides of the equation by 13:

x = 28/13

Therefore, to eliminate the y terms and solve for x in the fewest steps, you should multiply the first equation by 2 and the second equation by 3x

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The probable question may be:

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? The first equation should be multiplied by 2 and the second equation by 3. x.

Answer:

131.13

To find the area do w (width) times l (length/breadth) so the equation to find the area would be L*W=A

The number of hours that students have to work on homework will be 1/3 hours.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Mr. K's maths class is 1 and 1/4 hours long.

After working problems on the board for 55 minutes  or 11 / 12 hour.

He gave the students the rest of the class period to work on homework.

Then the number of hours that students have to work on homework will be

⇒ 1 + 1/4 - 11/12

⇒ 5 / 4 - 11/ 12

⇒ (15 - 11) / 12

⇒ 4/12

⇒ 1/3 hours

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Answer:

D:  -5 ≤ x < 1

R:  -4 ≤ y < 7

Step-by-step explanation:

The x values go between -5 and 1. The closed circle on -5 means it is included. The open circle on 1 means it is not included.

The y values go between -4 and 7. The closed circle means -4 is included, the open circle means the 7 is not included.

Answer:

21% of 456 = 0.21 x 400 + 0.21 x 50 + 0.21 x 6 = 95.76

Step-by-step explanation:

The measure of arc BEC is 134°. The correct option is the first option 134°

From the question, we are to determine the measure of arc BEC

In the given diagram,

Measure of angle C = 1/2 (measure of arc AB)

Reason: The measure of an inscribed angle is half the measure of the intercepted arc

∴ Measure of angle C = 1/2 (76°)

Measure of angle C = 38°

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

m∠A + 75° + 38° = 180°

m∠A + 113° = 180°

m∠A = 180° - 113°

m∠A = 67°

Measure of arc BEC = 2 × m∠A (Angle at the center is twice the angle at the circumference)

Measure of arc BEC = 2 × 67°

Measure of arc BEC = 134°

Hence, the measure of arc BEC is 134°. The correct option is the first option 134°

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Answer:

  4/3

Step-by-step explanation:

The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...

  tan(θ) = y/x

__

For the given point on the terminal side, the tangent is ...

  tan(θ) = (-4)/(-3) = 4/3

_____

Additional comment

There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:

  (x, y) = (r·cos(θ), r·sin(θ))

Then the ratio y/x is ...

  y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)

The first part is half of the second part. The first part is 16 and the second part is 8.

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Let the first part is x, y os the second part, and the no of half times is z then the equation is;

x × y = z

16×(1/2) = 8

Hence,the first part is half of the second part. The first part is 16 and the second part is 8.

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