Given the polygon below, solve for y. Explain your process.

Answer:

15450

Step-by-step explanation:

Answer:

C. -3/4

Step-by-step explanation:

The Slope is always rise over run or

rise

___

run

so with X you rise up 3 and Y, you run down 4 so the slope is C.

-3/4

Answer:

$223,787

Step-by-step explanation:

r = 0.02

C = 191,000

t = 8

S = 191,000 (1 + 0.02)⁸

Follow order of operations (PEMDAS).

S = 191,000 (1.02)⁸

S = 191,000 (1.171659381)

S = 223,786.9

(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)

Rounding, S = 223,787

\(\huge\boxed{Hi\: there!}\)

\(\huge\mathfrak{Question:}\)

Is 7,301,771 divisible by 6?

\(\huge\mathfrak{Answer:}\)

No.

Remember, divisible by means the given number can be divided by a number without a remainder.

If we divide 7,301,771 by 6, we will get a remainder.

\(\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}\)

\(\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}\)

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer: -9

Step-by-step explanation: f(x)=f(-1) meaning that x=-1, so you plug the value of x into the equation. 4(-1) - 5 = -4 - 5 = -9

Answer:

30

Step-by-step explanation:

5 times 6 equals 30

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

Therefore, the tent company needs about 10752 square inches of fabric to make the tent.

Step-by-step explanation:

To find the surface area of the tent, we need to find the area of each face and add them together. Looking at the net provided, we see that the tent has 5 faces: two congruent triangles (ABD and CDE), two rectangles (ABCF and DEGH), and a parallelogram (BCDE).

Let's start with the triangles. To find the area of triangle ABD, we can use the formula for the area of a triangle:

Area of ABD = (1/2) * base * height

The base is the side AB, which has a length of c = 42 inches, and the height is a, which has length of 67 inches. So we have:

Area of ABD = (1/2) * 42 * 67 = 1407 square inches

Since triangle ABD is congruent to triangle CDE, they have the same area. Therefore, the total area contributed by the two triangles is:

2 * Area of ABD = 2 * 1407 = 2814 square inches

Next, let's find the area of the two rectangles. The rectangle ABCF has length b = 68 inches and height a = 67 inches, so its area is:

Area of ABCF = b * a = 68 * 67 = 4556 square inches

The rectangle DEGH has length d = 64 inches and height a = 67 inches, so its area is:

Area of DEGH = d * a = 64 * 67 = 4288 square inches

Finally, let's find the area of the parallelogram BCDE. To do this, we need to find the height of the parallelogram, which is the perpendicular distance between the base BC and the line DE. We can use the Pythagorean theorem to find this height:

h = sqrt(d^2 - b^2) = sqrt(64^2 - 68^2) ≈ 38.48 inches

Therefore, the area of the parallelogram is:

Area of BCDE = base * height = c * h = 42 * 38.48 ≈ 1613.76 square inches

Adding up the areas of all 5 faces, we get the total surface area of the tent:

Total surface area = 2 * Area of ABD + Area of ABCF + Area of DEGH + Area of BCDE

= 2 * 1407 + 4556 + 4288 + 1613.76 ≈ 10752 square inches

Therefore, the tent company needs about 10752 square inches of fabric to make the tent.

The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

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.

The coordinate points from the graph are (10, 550) and (30, 200).

Here, slope = (200-550)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get

550=-17.5(10)+c

c=550+175

c=725

So, the equation is y= -17.5x+725

Thus, f(n)= -17.5n+725

a) The fine at every speed should go up by $10.

So, the coordinates are (10, 560) and (30, 210)

New slope (m)= (210-560)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get

560=-17.5(10)+c

c=550+175

c=735

So, the equation is y= -17.5x+735

Thus, f(n)= -17.5n+735

b) The fine at every speed should be doubled in construction zones.

So, the coordinates are (20, 550) and (60, 200)

New slope (m)= (200-550)(60-20)

= -350/40

= -8.75

Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get

550=-8.75(10)+c

c=550+87.5

c=637.5

So, the equation is y= -8.75x+637.5

Thus, f(n)= -8.75n+637.5

Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

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Answer:

I think is B

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

(1/6 times 4)make 4 into a fraction and that is 4/1  multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6

The expression that represents the fraction is 1/6 * 1/4 or 1/24

The given parameters are:

Amount of candy = 1/6 pounds

Number of bags = 4

The expression that represents the amount in each bag is:

Amount = Amount of candy/Number of bags

This give

Amount = 1/6 / 4

Express as product

Amount = 1/6 * 1/4

Evaluate

Amount = 1/24

Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24

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Answer:

Step-by-step explanation:

x+102+115+(180-115)=360

x+282=360

x=78 degrees

y=115 degrees

Answer:

x = 78

y= 115

Step-by-step explanation:

On the angle where p and m meet, we have congruent angles that both equal 102 degrees. The adjacent angles will add up to 180 degrees on a line. So, to find the missing angle, do this:

180-102 = 78 degrees

x is equal to the top right angle where p meets m as they are congruent.

x = 78

You can find y by realizing that the given angle on q meets n are congruent angles. If this angle equals 115 degrees, then y must also equal 115 degrees.

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

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The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

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Answer:

4900

Step-by-step explanation:

The two equations which can be used to represent the situation are;

r + s = 1787

4r + 3s = 5,792

The correct answer choice is option B and E

Reserved seat for basketball game = r

Students seat for basketball game = s

Cost of reserved seat tickets = $4

Cost of students tickets = $3

Total number of people who attended the basketball game= 1,787 people

Total amount earned for tickets sales= $5,792

r + s = 1787

4r + 3s = 5,792

Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792

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Answer:

Four and three arithmetic numbers of this equation are then

Step-by-step explanation:

\(x = 3 = x = 4 > - 4 > < - 3 = x = 4\)

And the numbers are equal

\(x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12\)

Answer:

No. It is not possible.

Step-by-step explanation:

No, that is not possible.

The problem lies in that \(a=b\).

Looking at your fourth line of work, \((a+b)(a-b)=b(a-b)\)

You divided by \((a-b)\).

And because \(a=b\), \(a-b=0\)

This means that when you divided by \((a-b)\) you divided by zero, which cannot happen.

The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

What is width in rectangle ?

In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.

Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.

The area of the blanket is given by:

Area = Length x Width

5760 sq inches = (x + 18) inches * x inches

Expanding the right-hand side and solving for x, we get:

\(x^2 + 18x - 5760 = 0\)

We can solve this quadratic equation using the quadratic formula:

\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)

where a = 1, b = 18, and c = -5760. Plugging in these values, we get:

\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)

\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)

x ≈ 67.42 or x ≈ -85.42

Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

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Answer:

8.468579573930919e+40

2.768574091477416e 41

Step-by-step explanation:

x = 3.6 units

First, some definitions before working the problem:

The three standard trigonometric functions, cosine, tangent, and sine, are defined as follows for right triangles:

\(sin(\theta)=\dfrac{opposite}{hypotenuse}\)

\(cos(\theta)=\dfrac{adjacent}{hypotenuse}\)

\(tan(\theta)=\dfrac{opposite}{adjacent}\)

One memorization tactic is "Soh Cah Toa" where the first capital letter represents one of those three trigonometric functions, and the "o" "a" and "h" represent the "opposite" "adjacent" and "hypotenuse" respectively.

The triangle must be a right triangle, or there wouldn't be a "hypotenuse", because the hypotenuse is always across from the right angle.

Working the problem

For the given triangle, the right angle is in the top right, so the side on the bottom left is the hypotenuse.

We know the angle in the lower right corner (angle S), so the side touching it (side ST) with unknown length is the adjacent side.  (notice that the points that form the side include the vertex of the angle -- so, it's the adjacent side).

For this triangle, the "adjacent" leg is unknown, our "goal to find" side.  Additionally, the "hypotenuse" is known.

Therefore, the two sides of the triangle that are known or are a "goal to find" are the "adjacent" & "hypotenuse".

Out of "Soh Cah Toa," the part that uses "a" & "h" is "Cah".  So, the desired function to use for this triangle is the Cosine function.

\(cos(\theta)=\dfrac{adjacent}{hypotenuse}\)

\(cos(69^o)=\dfrac{x}{10}\)

To isolate "x", multiply both sides by 10...

\(10*cos(69^o)=x\)

Make sure your calculator is set to degree mode, and calculate:

\(10*(0.3583679495453...)=x\)

\(x=3.583679495453...\) units

Rounded to the nearest tenth...

x = 3.6 units

The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

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Answer:

y – 2 = 4x

3y = –9x – 6

Step-by-step explanation:

Answer:

a, c, d

Step-by-step explanation:

Answer:

I have on idea?‽?????? sorry