Mathematics College

Find the value for x and y for the triangle. Show work.

Answers

Answer 1

Answer:x= 8/√3, y= 16/ √3

Step-by-step explanation:

See the picture below

Related Questions

A
wooden photo frame is made by joining a square and an equilateral triangle on the top of the square...
ind the perimeter of the frame, if side of the square is 25.3 cm.
3+

Answers

The perimeter of the photo frame is 126.5 cm

The wooden photo frame is made by joining a square and an equilateral triangle on the top of the square

The side of the square = 25.3 cm

In the equilateral triangles all the sides of the triangle will be equal.

The wooden photo frame is made by joining a square and an equilateral triangle on the top of the square

Therefore the side of the equilateral triangle = 25.3 cm

Draw the the figure using the given details

From the figure we can see that the

Perimeter of the frame = 5a

Substitute the values in the equation

= 5×25.3

= 126.5 cm

Hence, the perimeter of the photo frame is 126.5 cm

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Awooden photo frame is made by joining a square and an equilateral triangle on the top of the square...ind

Landon is deciding between two landscaping companies for his place of business.
Company A charges $30 per hour and a $175 equipment fee. Company B charges $45
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge for t hours of landscaping. Write an equation for each situation, in terms of t,
and determine the interval of hours, t, for which Company A is cheaper than
Company B.
A =
B =
Company A is cheaper than Company B when t
Note: The interval will only apply for valid values of t in the domain.

Answers

Answer: A = 30t + 175 and B = 45t + 100

hope this helps!

Step-by-step explanation:

To determine when Company A is cheaper than Company B, we need to find when A < B. We can set the two equations equal to each other and solve for t:

30t + 175 < 45t + 100

-15t < -75

t > 5

So, Company A is cheaper than Company B for any value of t greater than 5 hours. The interval for which Company A is cheaper is (5, ∞).

9x-3-8x=7-x solve for x

Answers

Answer:

x = 5

Step-by-step explanation:

Simplify both sides :

9x - 3 - 8x = 7 - xx - 3 = 7 - x

Add 3 to each side :

x - 3 + 3 = 7 - x + 3x = 10 - x

Add x to each side :

x + x = 10 - x + x2x = 10

Divide by 2 on each side :

2x/2 = 10/2x = 5

Answer:

x = 5

Step-by-step explanation:

9x-3-8x=7-x solve for x

9x - 3 - 8 x = 7 - x

x - 3 = 7 - x

2x = 10

x = 10 : 2

x = 5

-----------------

check

9 * 5 - 3 - 8 * 5 = 7 - 5

2 = 2

the answer is good

Finding, evaluating, and Interbreeding an inverse function forgiven linear relationship

Answers

Let:

$\begin{gathered} P(n)=y \\ y=0.2n+5.3 \end{gathered}$$n=0.2y+5.3$

Solve for y:

$\begin{gathered} y=\frac{n-5.3}{0.2} \\ so\colon \\ P^{-1}(n)=\frac{n-5.3}{0.2} \end{gathered}$

(a)

The amount of vitamins (in grams) for a price of x dollars

(b)

$P^{-1}(x)=\frac{x-5.3}{0.2}$

(c)

$\begin{gathered} P^{-1}(6.6)=\frac{6.6-5.3}{0.2} \\ P^{-1}(6.6)=\frac{1.3}{0.2} \\ P^{-1}(6.6)=6.5 \end{gathered}$

Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?

Answers

The needed number of days at 10 degrees is given as follows:

11 days.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the intercept.

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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Taut gets 14% discount. What should he do to compute what his cost is without tax

Answers

The 18% he gets over the goods purchased exceeds Rs. 6300.

What is the discount?

a decrease from the gross amount or value of something: for example, a(1): a reduction from the usual or list price.

Total Purchase Value = Total discount in rs * % discount

= 1520/16 x 100 = 9500

Discount on upto 3200 = 3200 x 14% = 448

Discount on upto 3201-6300 = (6300-3200) x 14% = 496

Balance discount = 1520 - 448 - 496 = 576

Above 6300 purchase amount = 9500 - 6300 = 3200

Discount % = 576/3200 x 100 = 18%

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Complete question:

A customer gets 14% discount on purchasing goods whose value is up to Rs. 3200 and gets 16% discount whose value is between Rs. 3201- Rs. 6300 and customer gets certain % discount while purchase the goods exceeds Rs. 6300. A customer gets a total discount of Rs. 1520 is 16% of the total purchase value. find the %age he gets over the goods purchased exceeds Rs. 6300 ?

Karen wants to buy new shoes. There is a promotion for 3
pairs of sneakers for $450.75, how much would one pair of
sneakers cost?

Answers

Each pair of shoes will cost $150.25

Good luck hope this helps

:))))

PLEASE HELP ME PLEASE PLEASE PLEASE

Initially as x incrases y (increases or decreases)
The slope of the graph is equal to ____ for all x between x= 0 and x=3
Starting at x=3 the function value y (increases or decreases) as x increases
The slope of the graph is equal to _____ for x between x=3 and x=5
For x between x=0 and x=4, the function value of y is (≤ or ≥ or =)
For x between x=4 and x=8 the function of value y is (≤ or ≥ or =)

Answers

The slope of the graph is equal to 1 for all x between x= 0 and x=3.

Starting at x=3 the function value y increases as x increases.

The slope of the graph is equal to 3 for x between x=3 and x=5

For x between x=0 and x=4, the function value of y is ≤ 0.

For x between x=4 and x=8 the function of value y is ≥ 0.

How to calculate or determine the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (0 - 3)/(3 - 0)

Slope (m) = -3/3

Slope (m) = -1.

For x between x=3 and x=5, the slope is given by;

Slope (m) = (3 + 3)/(5 - 3)

Slope (m) = 6/2

Slope (m) = 3.

By critically observing the graph of this function, we can logically deduce that the function value of y is less than or equal to 0 for x between x=0 and x=4 and greater than or equal to 0 for x between x=4 and x=8.

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What is Express the difference in simplest form. 3 1/2 - 1 7/8

Answers

Answer:

2-6

Step-by-step explanation:

Gate posts are parallel and m<4 =47, what is m<1

Answers

The value of angle 1 given the value of angle 4 as 47° will be 133°

How to explain parallel lines

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Convert 16 feet into meters using the conversion factor 1 meter = 3 feet

Answers

Answer:hi

Step-by-step explanation:

16 feet is equal to 5.33 meters when using the conversion factor 1 meter = 3 feet.

To convert 16 feet into meters using the conversion factor 1 meter = 3 feet, you can follow these steps:

Start with the given value in feet, which is 16 feet.

Apply the conversion factor of 1 meter = 3 feet.

Set up the conversion factor as a fraction, with meters in the numerator and feet in the denominator:

(16 feet) × (1 meter/3 feet)

Multiply the given value (16 feet) by the conversion factor:

(16 feet) × (1 meter/3 feet)

= (16/3) meters

Simplify the fraction:

16/3 meters = 5.33 meters (rounded to two decimal places)

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Nvm I found the answer

Answers

I’m just writing this to get the points

Complete each equation so that it has infinitely many solution

(Dont mind the exercise underneath)

(Brainliest to correct answer)

Answers

The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

What is equation?

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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The original selling price was $154.30 The sale price was $127.92 What is the first step in finding the percent markdown?

Answers

Answer:

subtract the new price from the original price

Step-by-step explanation:

To find the percent markdown, first subtract the new price from the original price

154.30-127.92

26.38

Then divide by the original price

26.38/154.30

.170965651

Multiply by 100% to get the percent decrease

17.0965651% decrease

Wich measurement is closest to the cone in cubic feet?

Answers

We have that the diameter of the base of the cone measures 8 ft, then the radius is r=4. Now we can find the volume using the general formula:

$\begin{gathered} V=\pi\cdot r^2\cdot\frac{h}{3} \\ \pi=3.1416 \\ r=4 \\ h=9 \\ \Rightarrow V=(3.1416)(4)^2(\frac{9}{3})=(3.1416)(16)(3)=48\cdot(3.1416)=150.8 \\ V=150.8ft^3 \end{gathered}$

therefore, the volume of the cone is v=150.8ft³

A local grocery delivery time has a uniform distribution over 0 to 60 minutes. What is the probability that the grocery delivery time is more than 15 minutes on a given day? Answer

Answers

The probability that the grocery delivery time is more than 15 minutes on a given day is P ( x > 15 ) = 0.75

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the grocery delivery time is more than 15 minutes on a given day be P

Now , the equation will be

The density function is f ( x ) = 1 / ( b - a )

And , the uniform distribution is over 0 to 60 minutes

So , a = 0

b = 60

Substituting the values in the equation , we get

f ( x ) = 1 / ( 60 - 0 )

f ( x ) = 1/60

f ( x ) = 0.01667

Now , the probability P = P ( x > 15 ) , where the termination point is 60 minutes

So , P ( x > 15 ) = ( 60 - 15 ) f ( x )

P ( x > 15 ) = 45 x 0.01667

P ( x > 15 ) = 0.75

Hence , the probability is 0.75

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The graph of the equation x + 3y = 6 intersects the y-axis at what the point?

Answers

Answer:

It intersects the y-axis at point (0, 2).

Step-by-step explanation:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

The area of Mrs. Crocker's rectangular
pantry floor can be expressed as x2 + 11x + 24
units2. List a possible expression for the length
and the width of her pantry floor.

Answers

Possible expressions for the length and the width of her pantry floor are x + 3 and x + 8

How to determine the expressions

The function given for the area of the rectangular pantry floor is expressed as;

Area = x2 + 11x + 24

Now, let's solve the quadratic equation using the factorization method

Multiply the coefficient of x squared by the constant + 24

Then, find the pair factors of product that sums up to 11 and substitute the values

We get;

x² + 8x + 3x + 24

Factor in pairs, we have;

(x² + 8x) + (3x + 24)

Now, factor the common terms, we have;

x( + 8) + 3(x + 8)

Then, the expression for x are;

Length = x + 3

Width = x + 8

Hence, the expressions are x + 3 and x + 8

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There are 16 marbles in a blue jar. The blue jar has 2 times as many marbles as a red jar. Let n be the number of marbles in the red jar

Answers

Answer:

Answer:

m=7

Step-by-step explanation:

1 blue jar = 16 marbles

1 blue jar = 2 red jars

Therefor

16 marbles= 2 red jars

(Now let m=1 red jar)

16= 2m

(Then sine we have 2m dived both sides by 2 to isolate the m)

16/2= 2m/2

8=m

Step-by-step explanation:

How many ways are there to place 3 indistinguishable red chips, 3 indistinguishable blue chips, and 3 indistinguishable green chips in the squares of a 3 x 3 grid so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally?
A. 12,
B. 18,
C. 24,
D. 30 ,
E. 36

Answers

Answer:

E. 36

Step-by-step explanation:

Let:

$C_1 =$ color 1

$C_2 =$ color 2

$C_3 =$ color 3

Case I

C₂ C₃ C₂

C₃ C₁ C₃

C₁ C₂ C₁

Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice