Which of these reflection(s) map figure A onto figure B?
a reflection over the line y = x
a reflection over the line y = -x
a reflection over the line x=0 followed by a reflection over the line x = 0
a reflection over the line x = 0 followed by a reflection over the line y = 0

Answer:

Step-by-step explanation:

hello :

the arc length formula is : s = 2πr(θ/360°)

given : area :  s = 10 ,     radius  :   r = 10

2(3.14)(10)(θ/360°)=10 solve for : θ

2(3.14)(θ/360°)=1

θ = 360°/6.28

θ = 57°.32

Answer:

y = -4x + 10

Step-by-step explanation:

Parallel lines have the same slope

The line equation given is y = -4x + 1
Slope of this line is -4

A parallel line will also have slope = -4
So its equation will be y = -4x +b where b is the y-intercept

Substituting the coordinates for point C(x = 1, y = 6)

==> 6 = -4(1) + b

==> 6 = -4 + b

b = 10

So the equation of the parallel line is y = -4x + 10

Equation of line is given as y=mx+c, where m is gradient and c is the y-intercept.

Parallel lines have the same gradient so gradient = -4

Eqn: y = - 4x + c

Since the line passes through C(1,6), subt the coordinates into the equation to find y-intercept.

6 = -4(1) + c

c = 6+4 = 10

Hence, the equation of the line is y = - 4x + 10

By definition of area of a rectangule,  the width of the field is 2/3 mile.

The area is the measure of a space delimited by a contour called the perimeter. In other words, area is the measure of the surface of a figure; that is, the measure of its interior region.

A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.

The area of ​​a rectangle is calculated from the two different sides, and it is calculated by multiplying the length (L) by the width (W):

Area= L×W

In this case, the length of a rectangular shaped field is 3/4 mile. If the area of the field is 1/2 mile², then the width can be calculated as:

1/2 mile²= 3/4 mile× W

Solving:

1/2 mile²÷ 3/4 mile= W

2/3 mile= W

Finally, the width of the field is 2/3 mile.

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Answer:

B. 38 seconds

An equation that can be used to solve for how long it took Piper to walk from the park to the store will be x + 2x = 21.

What is equation?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Piper skated 2 times long, so it gives us the first clue to 2x.

And also, they said the total time spent walking and skating was 21 minutes. And we would also know that the x will be from Piper skated 2 times long so, we know that the x will go first.

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The pints of fruit juice the can contains is 1.5 pints.

The first step is to determine the conversion rate of fluid ounces to pint.

1 fluid ounce = 1/16 pint

In order to determine the pint that is in the fruit juice, multiply the rate of conversion by the quantity of fluid ounces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.

Pint of the fruit juice = rate of conversion x given fluid ounces

1/16 x 24 = 24 / 16 = 1.5 pints

Here is the complete question:

A can contain 24 fluid ounce of fruit juice. how many pints of fruit juice does the can contain?

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Answer:

d. $6

Step-by-step explanation:

The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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The system of inequalities is:

v + h ≤ 8

v < 2

h ≥ 1.5

Let's define the variables:

The maximum time that you can spend on both activities is 8 hours, then:

v + h ≤ 8

You want to spend less than 2 hours on video games, so:

v < 2

You want to spend at least, 1.5 hours on homework, so:

h ≥ 1.5

Then the system of inequalities is:

v + h ≤ 8

v < 2

h ≥ 1.5

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Answer:

47.65 ice

Step-by-step explanation:

Hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

400%

Step-by-step explanation:

If you meant what percentage 40 is of 160, its 25%

40/160= 1/4= 25%

160/40= 4/1= 400%

I recommend that Ronald Lau build the pilot plant first to maximize his expected payoff. The expected payoff for this decision is $55,000.

To help Ronald Lau maximize his expected payoff, we can use decision analysis to evaluate the potential outcomes and probabilities of each decision.

The first decision is whether to build the new facility directly or to build the pilot plant first and then decide whether to build the complete facility.

If the new facility is built directly, the expected payoff is $200,000 × 0.5 + (-$190,000) × 0.5 = $5,000.

If the pilot plant is built first, the expected payoff is:

$5,000 + $200,000 × 0.75 × 0.6 + (-$190,000) × 0.25 × 0.6 = $55,000

or

$5,000 + (-$190,000) × 0.75 × 0.4 + $200,000 × 0.25 × 0.4 = -$45,000

The best decision is to build the pilot plant first since this decision has a higher expected payoff of $55,000 compared to the expected payoff of $5,000 for building the new facility directly.

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Pascals triangle or Pascal's triangle is a special triangle that is named after Blaise Pascal, in this triangle, we start with 1 at the top, then 1s at both sides of the triangle until the end. The middle numbers are so filled that each number is the sum of the two numbers just above it.

Generally, we can use Pascals' triangle to find the coefficients of binomial expansion

For example, we want to expand

Using Pascal's triangle, we can get the coefficients of the expansion:

The graph relationship is betsween distance travelled and price of the airfare. The rate of change gives information on how one quantity changes in relation to another. The equation is given as

y = 0.7x + 200

The price of airfare increases by $0.70 for each miles travelled.

We can see that as the distance increases the price of airfare also increases.

Answer:

X=2

Step-by-step explanation:

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

\(5.2\:\mathrm{in}\)

Step-by-step explanation:

We can set up the following proportion and solve for length (\(\ell\)):

\(\frac{2}{5}=\frac{\ell}{13},\\\\\ell=\frac{2\cdot 13}{5}=\frac{26}{5}=\boxed{5.2\:\mathrm{in}}\)

A function d(x) that represents a car price after a discount from the dealership is d(x)=0.85x+3000.

Given that, the factory gives a $3000 rebate to college students, and the dealership gives college students a 15% discount.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, a function d(x) that represents a car price after a discount from the dealership.

Let the cost of new electric cars be x.

So, discount = 15% of x

=0.15x

Selling price = x-0.15x=0.85x

Now, d(x)=0.85x+3000

Therefore, a function d(x) that represents a car price after a discount from the dealership is d(x)=0.85x+3000.

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The number that can be used to illustrate the information will be 153.24. This illustrates the place value.

It should be noted that from the information, it was stated that Braxton wrote the number 48.32 on the whiteboard create. In this case, it should be noted that the value of 3 is 3 tenths.

Therefore, a number that has the digit 3 in the place value that is 10 times the value of the 3 in miss Baxton's number will be (0.3 × 10) = 3 unit.

Therefore, a number that can be used to illustrate the information will be 153.24. In this case,the value of 3 is 3 units.

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Answer:

BE = 2.5

Step-by-step explanation:

Remark

Use triangles ABC and DEB.

Formula

AB/DB = BC / BE

Givens

Solution

15/3 = (10 + x)/x              Cross multiply

15x = 3(10 + x)                Remove the brackets

15x = 30 + 3x                 Subtract 3x from both sides.

15x - 3x = 30                  Combine

12x = 30                         Divide by 12

x = 30/12

x = 2.5

Step-by-step explanation:

in any traingle the sum of all the angle is 180°.

if u have given two angle then use

x+,(known angle1)+(known angle2)=180°

or x=180°-{(known angle1)+known angle2)

[where 'x' is unknown angle]

The system for which at least one solution exists is 3(a - 5x) < 1 + x and 2 - x/2 > 3 + 5(x - a), where x lies between (3a - 1)/16 and (5a - 1)/7.

we need to find the system for which at least one solution exists.

Let's solve these inequalities one by one:

1.3(a - 5x) < 1 + x3a - 15x < 1 + x16x

< 3a - 1x < (3a - 1)/16(3a - 1)/16 > x

This inequality has a solution as x can take any value greater than

(3a - 1)/16.2.2 - x/2 > 3 + 5(x - a)2 - x/2 >

3 + 5x - 5a-x/2 - 5x > -5a + 1-7x > -5a + 1x < (5a - 1)/7

This inequality has a solution as x can take any value less than (5a - 1)/7.

Now, we need to find a common solution for both inequalities:

(5a - 1)/7 > x > (3a - 1)/16So, x

lies between (3a - 1)/16 and (5a - 1)/7.

Hence, the system for which at least one solution exists is

3(a - 5x) < 1 + x and 2 - x/2 > 3 + 5(x - a), where x lies between (3a - 1)/16 and (5a - 1)/7.

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Answer:

   2/3

Step-by-step explanation:

Pick two points on the line

(-2,0) (1,2)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 2-0)/(1--2)

     (2-0)/(1+2)

   2/3

Answer:

slope = \(\frac{2}{3}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (1, 2) ← 2 points on the line

m = \(\frac{2-0}{1-(-2)}\) = \(\frac{2}{1+2}\) = \(\frac{2}{3}\)

Apply angle sum property

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a triangle having three angles aa x + 52° , 75° and 60°.

And we are asked to solve for x that means we have to find the value of x .

Solution : -

For finding the value of x we should have knowledge of Angle Sum Property that means sum of all interior angles of triangle is equal to 180° . So adding all the given angles and equating it with 180° .

\( \longmapsto \qquad \: x + 52 {}^{ \circ} + 75 {}^{ \circ} + 60{}^{ \circ} = 180{}^{ \circ} \: \)

Now , simplifying it ,

\( \longmapsto \qquad \: x + 52{}^{ \circ} + 135{}^{ \circ} = 180\)

\( \longmapsto \qquad \: x + 187{}^{ \circ} = 180{}^{ \circ}\)

Subtracting 187 on both sides :

\( \longmapsto \qquad \:x + \cancel{187} {}^{ \circ} - \cancel{187} = 180 - 187\)

We get ,

\( \longmapsto \qquad \: \pink{\underline{\boxed{\frak{ x = - 7{}^{ \circ}}}}} \quad \bigstar\)

Answer:

18

Step-by-step explanation:

x + x + 7 = 43

2x + 7 = 43

     -7     -7

2x = 36

x = 18

\(\cfrac{5}{6}\div 5\implies \cfrac{5}{6}\div \cfrac{5}{1}\implies \cfrac{5}{6}\cdot \cfrac{1}{5}\implies \cfrac{1}{6}\cdot \cfrac{5}{5}\implies \cfrac{1}{6}\cdot 1\implies \cfrac{1}{6}\)