in the formula C=5/9(F-32),If C=35, then F=?​

Answer:

Yes, Anna and Sharon both created triangles that are congruent. Their triangles are congruent because they have 2 corresponding, congruent side-lengths and an included angle that is congruent. Therefore, their triangles are congruent by SAS (Side-Angle-Side).

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Answer:

40 miles per hour

I hope this helps!

Answer:

a

Step-by-step explanation:

Answer:

A. The first option.

Step-by-step explanation:

Using the distributive property you can see that when you distribute them you would get something like (8 x 4) + (3 x 4) = 44. The first option is the only one that states this.

Hope this helps :)

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

The slope is -3/4

Step-by-step explanation:

3x+4y = 8

We want to get the equation in slope intercept form

y = mx+b where m is the slope

Subtract 3x from each side

3x+4y-3x= -3x+8

4y = -3x+8

Divide by 4

4y/4 = -3x/4 +8/4

y = -3/4x +2

The slope is -3/4 and the y intercept is 2

Answer:{x| -7 =< x <= -1}

Step-by-step explanation:

I'm not totally sure about this, but I think i got it right?

Answer:

the answer is d :)

Step-by-step explanation:

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Answer:

your answer is gonna be "A" if you want to type 1/14 into the calculator.

The value of expression one fourteenth = A) 1 ÷ 14

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of one fourteenth

A negative divided by a negative is positive, then;

one fourteenth = 1/14

Or

1 ÷ 14

Therefore, The value of  1 ÷ 14 = 1/14.

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Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

Answer:

c = 3

Step-by-step explanation:

\( 32^{2c} = 8^{c + 7} \)

\( (2^5)^{2c} = (2^3)^{c + 7} \)

\( 2^{10c} = 2^{3c + 21} \)

\( 10c = 3c + 21 \)

\( 7c = 21 \)

\( c = 3 \)

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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Answer:

B

Step-by-step explanation:

A is not a function because the same x value is repeated twice with different y values. The same goes for C and D so the answer is C.

Answer:

B.

Step-by-step explanation:

Well a relation is a set of points and a function is a relation where every x value corresponds to only 1 y value.

So lets see which x values in these relations have only 1 y value.

A. Well a isn’t a function because the number 3 which is a x value had two y values which are -1 and 4.

B. This relation is a function because there are no similar x values.

C. This is not a function because the x value 4 has two y values which are 4 and -3.

D. This is not a function because the number 1 has 2 and 3 as y values.

Answer:

\(\fbox{\begin{minipage}{14em}Number of subsets: 16\\Number of proper subsets: 15\end{minipage}}\)

Step-by-step explanation:

Given:

The set A = {5, 13, 17, 20}

Question:

Find the number of subsets of A

Find the number of proper subsets of A

Simple solution by counting:

Subset of A that has 0 element:

{∅} - 1 set

Subset of A that has 1 element:

{5}, {13}, {17}, {20} - 4 sets

Subset of A that has 2 elements:

{5, 13}, {5, 17}, {5, 20}, {13, 17}, {13, 20}, {17, 20} - 6 sets

Subset of A that has 3 elements:

{5, 13, 17}, {5, 13, 20}, {5, 17, 20}, {13, 17, 20} - 4 sets

Subset of A that has 4 elements:

{5, 13, 17, 20} - 1 set

In total, the number of subsets of A: N = 1 + 4 + 6 + 4 + 1 = 16

The number of proper subsets (all of subsets, except subset which is equal to original set A): N = 16 - 1 = 15

Key-point:

The counting method might be used for finding the number of subsets when the original set contains few elements.

The question is that, for a set that contains many elements, how to find out the number of subsets?

The answer is that: there is a fix formula to calculate the total number (\(N\)) of subsets of a set containing \(n\) elements: N = \(2^{n}\)

With original set A = {5, 13, 17, 20}, there are 4 elements belonged to A.

=> Number of subsets of A: N = \(2^{4} = 16\)

(same result as using counting method)

Brief proof of formula: N = \(2^{n}\)

Each element of original set is considered in 2 status: existed or not.

If existed => fill that element in.

If not => leave empty.

For i.e.: empty subset means  that all elements are selected as not existed, subset with 1 element means that all elements are selected as not existed, except 1 element, ... and so on.

=> From the point of view of a permutation problem, for each element in original set, there are 2 ways to select: existed or not. There are \(n\) elements in total. => There are \(2^n}\) ways to select, or in other words, there are \(2^{n}\) subsets.

Hope this helps!

:)

The volume between the cone and the sphere is approximately 23.55 cubic units.

We are given that;

\(X= sqrt(y^2 + z^2)\)

\(x^2 + y^2 + z^2 = 16.\)

Now,

To find the volume between the cone and the sphere, we can use a triple integral in spherical coordinates.

The cone corresponds to the equation \($\rho = 2\cos(\phi)$\), where \($\rho$\) is the radial distance, \($\phi$\)is the polar angle, and \($\theta$\) is the azimuthal angle. The sphere corresponds to the equation \($\rho = 4$\). The limits of integration are:

\($0 \leq \theta \leq 2\pi$$0 \leq \phi \leq \frac{\pi}{4}$$2\cos(\phi) \leq \rho \leq 4$\)

The volume element in spherical coordinates is \($\rho^2\sin(\phi)d\rho d\phi d\theta$\)

Therefore, the volume is:

\($V = \int_{0}^{2\pi}\int_{0}^{\frac{\pi}{4}}\int_{2\cos(\phi)}^{4}\rho^2\sin(\phi)d\rho d\phi d\theta$\)

Evaluating this integral, we get:

\($V = \frac{32}{3}\pi - 8\sqrt{2}\pi + 16\pi$\)

Therefore, by volume of cone the answer will be 23.55 cubic units.

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In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Answer:

Step-by-step explanation:

18% of $3200.80 = $576.144.

$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.

Answer:

6 students are absent.

Answer: 5b is your answer

Step-by-step explanation:

Answer:

4.

\(Daryll: \frac{8 miles}{40 minutes}\times \frac{60 min}{1 hr} = 12 miles per hr.\\Isabella: \frac{5 miles}{30 minutes} \times\frac{60 min}{1 hr} = 10 miles per hr.\\\)

Therefore Daryll will go 24 miles in 2 hours. Isabella will go 20 miles in 2  
hours.

     Final answer: Daryll goes further in two hours by 4 miles.

5.

\(\frac{2.00}{5} =\frac{x}{9} \\5x=18\\x= 3.60\) dollars

Final answer: 3.60 dollars

6.     8 oranges = 2(2.45) = 4.90 dollars

        12 oranges = 3(2.45) = 7.35 dollars

Step-by-step explanation:

Simple ratio problems. IF you still don't get it Khan Academy is helpful.

Answer: 240

Step-by-step explanation:

We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.

Altogether, the bookseller sold 240 math and history textbooks. So:

x + y = 240

Now, the number of history textbooks sold was 72 less than the number of math books sold. So:

y = x - 72

Now we can substitute for y in the equation and solve:

x + y = 240

x + (x - 72) = 240

2x - 72 = 240

2x = 312

x = 156

The bookseller sold 156 math textbooks.

Since y = x - 72, he must have sold 84 history textbooks.

Let's check our answers:

x + y = 240

156 + 84 = 240

That is true, so we did get the correct answers.

Answer:

16/15 or 1  1/15

Step-by-step explanation:

4/5 divided by 3/4

Flip 3/4 so it is 4/3

Multiply 4/5 by 4/3

16/15

Since the wall's base is b = 1.0b in length, a quart of paint will cover a wall that is 8 feet by 1.0b feet in size.

In algebra, an equation is a document that presents the equality among both two expressions. It contains a set, constants, and mathematical calculations such as addition, subtraction, cell growth, and division. The goal of trying to solve an equation is really to find the value or beliefs of the variables that make the calculation true. Equations are used to model a broad variety of phenomena in science, architecture, economics, among other fields

given

The base length of the rectangular wall that Jasmine wishes to paint is represented by the variable "b" in the equation 8b/100. This equation is used by Jasmine to calculate how much wall space one quart of paint will fill. By dividing 8b by 100, Jasmine can find the number of quarts required to paint the entire wall.

To solve the equation for "b", we need to isolate the variable on one side of the equation. We can do this by multiplying both sides of the equation by 100/8 or 12.5, which gets us:

b = (100/8) / (100/8) * 8b/100

b = 12.5 * 8b/100

b = 1.0b

Since the wall's base is b = 1.0b in length, a quart of paint will cover a wall that is 8 feet by 1.0b feet in size.

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The complete question is:- Jasmine is redecorating her bedroom and wants to paint one wall with an accent color. She has 1 quart of accent color paint and is trying to figure out how much of the wall the quart will cover. The walls in Jasmine's room are 8 feet tall. The area of the rectangular wall can be represented by the expression 8b, where b is the length of the base.

The paint container says that each quart will cover an area of 100 square feet, so Jasmine uses the equation b the area of wall that the quart of paint will cover.

In this equation, the variable b is by Because division is the opposite of to get the variable by itself on one side of the equation. In other multiplication, we'll divide by words, we'll the variable. 8b 100 =

Remember that the property of equality states that we must both sides of the equation by to keep a balanced equation.

Answer:

It's already in simplest form

Step-by-step explanation:

You can't simplify 2/19 anymore than 2/19

Answer:

The answer to this is m equals 16.

Answer:

m= 2

Step-by-step explanation:

1+2m^-1/2=3/2

So, subtract 1

2m^-1/2 = 1/2

Divide by 2.

m^-1/2 = 1/4

m=2.

Hope this helps you!

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