19. When baking a cake, you have a choice of the following pans:
• a round cake pan that is 2 inches deep and has a 7 inch diameter
• a 6 inch x 9 inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer.
​

Answer:

Step-by-step explanation:

18 ft

Answer: 18 ft (technically water isn't measured in feet but who cares :)

Step-by-step explanation: 5*3*2=x-12--------- 30=x+12-----x=18

Answer:

Step-by-step explanation:

1.

x= 18 y= 3

2.

x= -5 y=1

The probability of winning a bet with odds of 7 to 8 in favor is 7/15, or approximately 46.67%.

If you are given odds of 7 to 8 in favor of winning a bet, to find the probability of winning, you need to understand the relationship between odds and probability.

Odds of 7 to 8 means that for every 8 losses, there are 7 wins.

The total number of possibilities is 7 wins + 8 losses = 15 possible outcomes.

To convert odds to probability, you divide the number of ways to win by the total number of possible outcomes:

Probability of winning = 7 wins / 15 total outcomes = 7/15.

Therefore, the probability of winning the bet is 7/15, which can be approximated as 0.4667 or 46.67%.

The answer is:

The rewritten expression is:

[tex]cos(2x)+sin(x)=(cos(x)+sin(x))*(cos(x)-sin(x))+sin(x)[/tex]

To solve this problem we need to use the trigonometric identity of the double angle for the cosine which states that:

[tex]cos(2\alpha)=cos^{2}(\alpha)-sin^{2}(\alpha)[/tex]

Also, if we want to rewrite only with terms of cos(x) and sin(x), we can apply the following property:

[tex](a^{2} -b^{2})=(a+b)(a-b)[/tex]

So, rewriting the trigonometric equation, we have:

[tex]cos^{2}(\alpha)-sin^{2}(\alpha)=(cos(x)+sin(x))*(cos(x)-sin(x))[/tex]

Then, we are given the expression:

[tex]cos(2x)+sin(x)[/tex]

Now, rewriting the given expression with only sin(x) and cos(x), we have:

[tex]cos(2x)+sin(x)=(cos(x)+sin(x))*(cos(x)-sin(x))+sin(x)[/tex]

Hence, the answer is:

[tex]cos(2x)+sin(x)=(cos(x)+sin(x))*(cos(x)-sin(x))+sin(x)[/tex]

Have a nice day!

the answer is the last one because sin =opposite/hypo.

Check the picture below.

Answer:

5/4

Step-by-step explanation:

look to the right of the graph where the red dot is at then go over to the dot, then you count down until you get to the line.

We can use the points (2, 1) and (4, 6) to solve.

Formula: y2-y1/x2-x1

= 6-1/4-2

= 5/2

Best of Luck!

Answer:

[tex]\boxed{\tan \theta}[/tex]

Step-by-step explanation:

[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta}[/tex]

Use the trigonometric identity

[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]

Then,

[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta} = \dfrac{\tan \theta }{1} = \boxed{\tan \theta}[/tex]

The correct option is d. tan θ. The simplified expression is [tex]\(\tan\ \theta\)[/tex].

The expression you provided is:

[tex]\[ \frac{\tan\ \theta}{\sin^2 \theta + \cos^2 \theta} \][/tex]

We know that [tex]\(\sin^2 \theta + \cos^2 \theta = 1\)[/tex] due to the Pythagorean identity for sine and cosine.

So, the expression simplifies to:

[tex]\[ \frac{\tan\ \theta}{1} = \tan\ \theta \][/tex]

Therefore, the correct simplified expression is [tex]\(\tan\ \theta\)[/tex].

The complete question is:

Simplify the trigonometric expression.

[tex]\[ \frac{\tan\ \theta}{\sin^2 \theta + \cos^2 \theta} \][/tex]

Select the correct answer:

a. cos θ +sin θ

b. cot² θ

c. cot θ

d. tan θ

Answer:

second option

Step-by-step explanation:

The triangle pairs that can be mapped to each other using a reflection and a translation are option (b).

Hence, the correct answer is option (b).

Learn more about Reflection and Translation, refer to:

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If I am correct the best option would be answer B

Answer:

y+1 = 3/5(x+3)  (point slope form)

y = 3/5x +4/5 slope intercept form

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope form of the equation

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y--1 = 3/5(x--3)

y+1 = 3/5(x+3)  (point slope form)

We can distribute

y+1 = 3/5x +9/5

Subtract 1 from each side

y+1-1 = 3/5x +9/5 -1

y = 3/5x +9/5 -5/5

y = 3/5x +4/5 slope intercept form

Answer:

Equation:  y = 3/5 x + 4/5

Step-by-step explanation:

y = mx + b

so

b = y - mx

passes through (-3,-1) and has a slope of 3/5

So

b = -1 - (3/5) (-3)

b = -1 + 9/5

b = - 5/5 + 9/5

b = 4/5

So equation

y = 3/5 x + 4/5

We need the graph to answer.

Answer: equal 1/4

A). 1/4

Answer:

C. Even

Step-by-step explanation:

Any multiple of 2 is an even number.

27 is 3³, so the result cannot be a perfect square.

The product of two numbers, neither of which is 1, cannot be prime.

the answer would be C. An even number

Answer: I have 4 cookies, I but 3 more cookies, how many cookies do I have now? I have 7 cookies

Step-by-step explanation:

A story problem where the answer is 7 is given above.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have number 7.

The question problem is as follows -

There are 77 chocolates and 11 childrens. How many chocolates should be given to each child such that each one gets equal number of chocolates.

Solution -

Assume each child gets [x] chocolates. Then -

11x = 77

x = 7

Therefore, a story problem where the answer is 7 is given above.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

A

Hope This Helps!  Have A Nice Day!!

Answer:

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation":[1]

Step-by-step explanation:

To translate a triangle by moving it 5 units to the right and 2 units up, you add 5 to the x-coordinates and 2 to the y-coordinates of all its vertices.

To translate  riangle ABC by moving it 5 units to the right and 2 units up, you would perform the following steps:

This transformation doesn't change the shape or size of  riangle ABC; it merely repositions it on the coordinate plane.

Answer:

C. Circle

Step-by-step explanation:

A, B, and D are all composed of straight line segments.  However a circle is one continuous, rounded line (not a segment).

A circle is an object that has no line segments.

Hence, a circle is an object that has no line segment.

Therefore, Option C is the correct answer.

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Answer:

B

Step-by-step explanation:

It is a straight line that goes through the origin

Answer:

B

Step-by-step explanation:

Answer:

Option B.  g(x)=(1/4 x)^2

Step-by-step explanation:

Answer: Figure one

Step-by-step explanation: this is a very very easy question and i will explaing it for you :) So basically all your doing is folding a peice of paper. If you look closley at figure two you can see that if you fold that it wont even turn into a shape. And if you look at figure three it has uneven sides when a square has all even sides. So your only valid option would be figure one because that would fold in to a square

I hope i helped you figure this out A thanks and a brainlist would be greatly appreciated :)

Answer: [tex]A=2*10^{10}m^2[/tex]

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

[tex]A=lw[/tex]

Where "l" is the lenght and "w" is the width.

You know that the dimensions of this rectangle are 5*10⁵meters and 4*10⁴ meters, then you need to multiply them to get the area:

[tex]A=(5*10^5m)(4*10^4m)[/tex]

Since 10⁵ and 10⁴ have equal base, you must add the exponents:

[tex]A=20*10^{(5+4)}m^2[/tex]

[tex]A=20*10^9m^2[/tex]

Scientific notation has the form:

[tex]a*10^n[/tex]

Where "a" is any number between 1 and 10 but less than 10, and "n" is an integer.

Since 20 is greater than 10, you must move the decimal point to the left:

[tex]A=2.0*10^{10}m^2[/tex]

Rewriting the result, you get:

[tex]A=2*10^{10}m^2[/tex]

The area of the rectangular section of wilderness that will be set aside as a new wildlife refuge is [tex]2 * 10^{10[/tex] square meters

The dimensions of the rectangular section of wilderness that will be set aside as a new wildlife refuge are given as:

5 x 10^5 meters by 4 x10^4 meters

The area is the product of the dimensions.

So, we have:

[tex]Area = 5 * 10^5 * 4 * 10^4[/tex]

Evaluate the product

[tex]Area = 20 * 10^9[/tex]

Rewrite as:

[tex]Area = 2 * 10^{10[/tex]

Hence, the area of the rectangular section of wilderness that will be set aside as a new wildlife refuge is [tex]2 * 10^{10[/tex] square meters

Read more about area at:

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Answer:

The distance formula is really just the Pythagorean Theorem in disguise.

Step-by-step explanation:

AB=√(x2−x1)2+(y2−y1)2

Step-by-step explanation:

[tex]\text{Let}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2).\ \text{Then the distance between}\ A\ \text{and}\ B\ \text{is:}\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y1)^2}\\\\Example:\\\\A(2,\ 5),\ B(-1,\ 1)\\\\|AB|=\sqrt{(-1-2)^2+(1-5)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

Answer:

AC=BD

CAD=CBD

ACB=ADB

Step-by-step explanation:

You're essentially looking for anything of equal proportions. Obviously, your circle is split by several lines, and each side is symmetric. Since you know this, it's simply a matter of identifying one element then finding its symmetric match.

Follow the lines and trace the path with your finger for each question. If you do this, you'll see that AC=BD is an answer that involves a symmetric pair, because these two are equal distances and equal (but opposite) in placement.

Continuing with this method, keep track of the parts of the triangles you trace. With CAD=CBD, you trace across a hypotenuse, a leg, and a base in BOTH, making this true.

Continuing further with ACB=ADB, you trace across a hypotenuse, a leg, and a base with both AGAIN, making this true.

With AB=CD, this is obviously incorrect. You can't jump between points.

Answer:

only letter c is incorrect A, B, and D are correct

Step-by-step explanation:

Answer:

The total area of the five rooms = 3 × 13² + 2 × 15² ⇒ answer A

Step-by-step explanation:

* lets revise the area of the square

- The area of any square is (the length of its side)²

- We have five room

- Three of them have side length 13 feet each

- Two of them have side length 15 feet each

* lets find the total area of the five room

- The area of the three rooms of side length 13 feet

∵ The length of the side of each square is 13 feet

∴ The area of each room of the three = 13²

∴ The total area of the three rooms = 3 × 13² feet² ⇒ (1)

- The area of the two rooms of side length 15 feet

∵ The length of the side of each square is 15 feet

∴ The area of each room of the two = 15²

∴ The total area of the three rooms = 2 × 15² feet² ⇒ (2)

- To find the area of the five rooms and (1) and (2)

∴ The total area of the five rooms = 3 × 13² + 2 × 15²

Answer:

A. [tex](3*13^2)+(2*15^2)[/tex]

Step-by-step explanation:

The area of a square can be calculated with this formula:

[tex]A=s^2[/tex]

Where "s" is the lenght of any side of the square.

You know that any side of three square rooms measure 13 feet each and any side of two square rooms measure 15 feet each.

Let be [tex]s_1[/tex] the lenght of any side that measures 13 feet and and [tex]s_2[/tex]  the lenght of any side that measures 15 feet.

Then, the total area will be:

[tex]A_{total}=3(s_1)^2+2(s_2)^2\\\\A_{total}=(3*13^2)+(2*15^2)[/tex]

Therefore, the expression that shows the total area of these five rooms is the expression shown in the option A.

Answer:

C.) 418 cm²

I hope this helped you : )

Step-by-step explanation:

First, you find the area of the square:

19 cm x 19 cm = 361 cm

Next, you find the area of the triangle:

(19 cm x 6 cm) ÷2 =57 cm

Last, you add the two:

361 cm + 57 cm = 418 cm²

Answer:

it is C i took a quiz on it

Step-by-step explanation:

Answer:

You don't even have to graph it.

A) X + Y -6 = 0

B) X - Y = 0

We add the equations and get:

2x -6 = 0

x = 3 and therefore, y = 3

The correct answer is the third answer (3, 3)

Step-by-step explanation:

Answer: (3, 3)

Step-by-step explanation:

Add the equations to eliminate y:

   x + y = 6

   x - y  = 0

 2x      =  6

÷2         ÷2

   x      = 3

Substitute x = 3 into either of the equations to solve for y:

x - y = 0

3 - y = 0

3      = y

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

[tex]3x^{2}-11x+10=0[/tex] has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

[tex]\frac{d}{dx}(3x^{2}-11x+10)=6x-11[/tex]

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

[tex]x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}[/tex]

Answer:

x = 51.1 degrees

Step-by-step explanation:

As this is a right triangle, we may use Sin, Cos, and Tan in order to find this answer. Sin is defined as the opposite over the hypotenuse, so that is what we can use. 7 is the opposite value and 9 is the hypotenuse of the triangle.

So we can set up an equation like this

[tex]sinx = \frac{7}{9}[/tex]

Then we can use the inverse of sin in order to solve for x

[tex]x = sin^{-1} (\frac{7}{9})[/tex]

When this is plugged into a calculator you get:

[tex]x= 51.057[/tex] degrees

This rounds to 51.1 degrees

Answer:

The correct option is option D

Step-by-step explanation:

The volume of a pyramid is:

V=1/3(B)(H)

Where

B:Base = s^2

H:Height = 2/3s

Then:

V=1/3(B)(H) = 1/3(s^2)(2/3s) = 2/9s^3

The correct option is option D

Answer:

answer is V= 2/9 s3 is correct

Answer:

option B

option D

Step-by-step explanation:

1)

First we will remove radical sign as[tex]\sqrt[n]{x}=x^{\frac{1}{n} }[/tex] and then multiply the powers.

[tex]\sqrt[3]{4^{5}}=(4^{5})^{\frac{1}{3}}=4^{\frac{5}{3} }[/tex]

2)

The "power rule" tells us that to raise a power to a power, just multiply the exponents.

([tex]4^{15}[/tex])[tex]^{\frac{1}{3}}=4^{15.\frac{1}{3}}=4^{5}[/tex]