find the length of the side b if given side c is 1949 ft and a is .8 miles for the given triangle. (1 mile = 5280 feet)

In mathematics, it should be noted that an area model is a rectangular diagram which is used to multiply and divide two numbers or expressions, in which the factors or the quotient and divisor define the length and width of the rectangle.

When solving problems involving multiplication and division in mathematics, an area model is a model or rectangular diagram where the length and width of the rectangle are determined by the factors or quotient and division.

You can calculate the area of a rectangle whose length is 48 units and width is 21 units by multiplying 48 by 21. In this case, this can be Illustrated in an area model.

Note that your information is incomplete and a overview was given.

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Answer:

A 25 sided polygon or the mathematical name for it is an icosikaipentagon or a pentacosagon

Step-by-step explanation:

So you firstly do 180-165.6=14.4° we need to do this as each interior angle adds up to 180° and 14.4° would be the value of one exterior angle. For all shapes, the total of all the interior angles will add up to 360° so then you do 360° divided by 14.4°= 25. This means that it is a 25 sided shape.

The month at which the total cost of each health club would be the same = 5 months and the total cost for each club = $79 each.

Let the equal month of membership be represented by x and y represent the total cost for each.

Club A offers the following; y = 19 + 12x

Club B offers the following; y = 14 + 13x

Because we know that the prices,y, would be equal, we can set the two equations equal to each other.

That is,

19+12x = 14+13x

Bring the like terms together;

19-14 = 14x-13x

5 = x

The total cost for club A;

y = 19+12(5)

y = 19+60

y= $79

The total cost for club B;

y = 14 + 13(5)

y= 14+65

y = $79

Therefore the total cost for each club would be the same which is = $79.

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Answer: Let's call the smallest of the three consecutive integers "x". Then the next two integers will be "x+1" and "x+2".

We know that the sum of the three integers is twice the largest integer plus 11. We can use this information to set up the following equation:

x + (x+1) + (x+2) = 2(x+2) + 11

Simplifying, we get:

3x + 3 = 2x + 5 + 11

So we can get:

x = 3

Therefore, the three consecutive integers are 3, 4 and 5.

Step-by-step explanation:

Answer:

11 & 1

Step-by-step explanation:

11*1=11

11+1=12

12>11

11>1

The basic interest rate that will be earned, according to the information provided, is 13.6%.

Interest is the cost of borrowing money or the fee you charge to lend it. Most frequently, interest is shown as an annual percentage of the loan amount. The interest rate for the loan is denoted by this proportion.

The basic interest rate that will be earned, according to the information provided, is 13.6%.

Principal is $5250.

Simple Interest is $6500-$5250, or $1250.

21 months is 1.75 years.

PRT / 100 is a formula for simple interest.

1250 = (5250 × 1.75 × R) / 100

the cross-multiply

125000 = 9187.5R

R = 125000 / 9187.5

R = 13.6%.

The complete question is,

What annual simple interest rate will you receive if you pay $5,250 for a simple interest note with a 21-month maturity of $6,500?

12.4% \s13.6%

15.8% \s14.3%.

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The speed of the westbound train is 48 miles per hour and the speed of the eastbound train is 60 miles per hour.

The relative speed is the net speed of two different objects with respect to each other.

If two objects move in the same direction we take the difference between their speeds.

If two objects move in the opposite direction we take the sum of their speeds.

Given, An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions.

Let, The speed of the westbound train be 'x', So the speed of the eastbound train is (x + 12).

We know, Distance = Time×Speed.

Therefore,

2[(x + 12) + x] = 216.

x + 12  x = 108.

2x = 96.

x = 48 miles per hour, Hence the speed of the eastbound train is 60 miles per hour.

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The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

Given is that Mayerlin has {x} dimes and {y} nickels. She has no more than 20 coins worth no less than $1.30 combined

We can write the inequalities as -

x + y < 20                         .... (1)

x/10 + y/20 > 1.30             .... (2)

Refer to the graph of the inequalities attached. The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

Therefore, the region common to both the inequality graphs represents the possible solutions for the given set of inequality.

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Karen sent 16, Chau sent 72 and Goran sent 24 messages over their phones during the weekend.  

Here we use the concept of Linear equation to find the Number of messages sent by each person. A linear Equation is a mathematical statement that is formed by constant and variable terms.

Given that

Karen, Chau, and Goran sent a total of 112 text messages over their cell phones during the weekend.

[Since we don't know the number of messages sent by each person take them as different variables. ]

Let x, y, and z be the number of messages that Karen, Chau, and Goran sent respectively

=> x + y + z = 112 ---- (1)

Given that

Chau sent 3 times as many messages as Goran.  

=> y = 3z --- (2)  

Goran sent 8 more messages than Karen.

=> z = x + 8

=> x = z - 8 --- (3)

From (1) (2) and (3)

=> z - 8 + 3z + z = 112  

=> 5z = 120      

=> z = 24

From (3)

=> x = 24 - 8 = 16    

From (2)

=> y = 3(24) = 72  

Therefore,

Karen sent 16, Chau sent 72 and Goran sent 24 messages over their phones during the weekend.  

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The given linear system of equation has no solution.

In Mathematics, no solution is also referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x + 3y = 6     ........equation 1.

3x + 9y = 18      ........equation 2.

Based on the graph (see attachment), we can logically deduce that the given system of equations has no solution because both lines are the same and lie on the same co-ordinate.

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Answer: 6y + 36

Step-by-step explanation:

6(6+y)

= 6 * 6 + 6 * y

=36 + 6y

= 6y + 36

The requried fraction of the registered voters who didn't vote is given as 2/5.

Fraction is defined as the number of compositions that constitutes the Whole. Fraction is generally denoted as a / b, where a = numerator and b = denominator.

In a certain state about 3/5 of registered voters participated in the 2016 election.
Let the fraction of registered voters to did not vote to be x,
So,
According to the question,
1 = 3/5 + x
x = 1 - 3/5
x = 2 / 5

Thus, the requried fraction of the registered voters who didn't vote is given as 2/5.

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How cool is that! I love real-life problems, do you?

V = 236 - 2.5t

O = 0, 2, 5, 6

247, 243, 237, 235

So let's try substituting some numbers in for Valerie.  Let's do 0, 2, 5 and 6 to compare them to Oscar.

V = 236 - 2.5(0)
V = 236

She started at a lesser weight than Oscar.

Week 2:
V = 236 - 2.5(2)
V = 236 - 5
V = 231

So already, at week 2, Valerie lost 5 pounds compared to her first weight.  Oscar lost 4 pounds.  Valerie is losing weight faster than Oscar.

Week 5:
V = 236 - 2.5(5)
V = 236 - 12.5
V = 223.5

From week 2, she lost 12.5 pounds.  Oscar lost 6 pounds.  Looks like Valerie is losing weight faster!

So now, week 6.

V = 236 - 2.5(6)
V = 236 - 15
V = 221
Valerie lost 2.5 pounds compared to week 5.

Oscar lost 2 pounds compared to week 5.  

True or False: you decide! :)

'x^2+bx-ax-ab' is the area of a rectangle with a length of x-a and a width of x + b.

What is area of rectangle?

A rectangle basically is a four-sided shape with four right angles. It is one of the most basic shapes in geometry and can be defined by its length and width. The area of a rectangle is the product of its length and width. This measure is typically expressed in square units, such as square feet or square meters. The area of a rectangle can also be found by multiplying the length and width of a given rectangle.

L=x-a

B=x+b

Area of rectangle=?

Area of rectangle=l*b

                           =(x-a)(x+b)

                            =x² + bx - ax - ab​

Hence, the correct option is Option (E) x² + bx - ax - ab​.

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Answer:each apple cost $1.45

Step-by-step explanation:l----------l

Answer:

Good climate.The beauty is Thomas and I am going through the whole

Answer:

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x + 16}\\\mathsf{= 9 + 16}\\\star\textsf{ START at 9 and go up 16 to the right }\star\\\mathsf{= 25}\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{25}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The angular speed of the wheel in radians per minute is 23 radians per minute and the number of revolutions is 218 revolutions per hour.

Angular speed is defined as the rate of change of the angular displacement.

Angular speed is commonly denoted as ω.

We have a relation,

v = r ω

where v is the tangential speed and ω is the angular speed. r is the radius.

Given

v = 7 miles per hour

Diameter, d = 54 feet = 0.0102 miles

r = d / 2 = 0.0051

ω = v / r

ω = 1368.89 radian per hour

   = 1368.89 / 60 radians per minute

   = 22.815 radians per minute

   = 23 radians per minute

(b) n = v / 2π r

       = 7 / (π × 0.0102)

       = 217.865 revolutions per hour

       = 218 revolutions per hour

Hence the angular speed of the Ferris wheel is 23 radians per minute and there are 218 revolutions per hour.

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The solution is Option D.

The value of the equation f ( 0 ) = 57 ; the above-room temperature of the ramen at time t = 0

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( t ) = 57 ( 0.89 ) ^ t   be equation (1)

Now , t represents time elapsed in minutes

Substituting the value of t = 0 , we get

The time elapsed be 0 minutes , the above room temperature will be

f ( t ) = 57 ( 0.89 ) ^ t

when t = 0

f ( 0 ) = 57 ( 0.89 )⁰

Any number raised to the power of 0 is 1

So , the value of the equation is

f ( 0 ) = 57

And , f ( 0 ) is the above room temperature at the time t = 0

Hence , the equation is solved

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Answer:

x = 25

Step-by-step explanation:

Answer:

x = 25°

Step-by-step explanation:

<BDC + BCD = <ABD      I know that part may seem confusing but Im just giving you a little boost of knowledge about it. So later on in math ( I imagine that your barely starting off with this stuff) it will become more complex. You have to lable the sides because later on you will have to find the decimales or whole numbers in  meters inches or whatever. But yea you dont need to worry abbout that till later. :)

x + 90° =115°

The outer dimensions are 84 feet long by 50 feet wide. The half court line is, as the name would suggest, halfway between each end line.

A basketball court for a junior high or high school is 50 feet wide and 84 feet long. For all courts, the foul line or free throw line is 15' from the front of the backboard.

For NBA or FIBA, the free throw lane is 16 feet wide; for college, high school, and junior high basketball, it is 12 feet wide. three Point lines vary in the ways that: On NBA basketball courts, a straight line that extends out 16 feet 9 inches from the baseline forms a 3-point arc that measures 22 feet to the centre of the rim on both sides.

The line continues 23 feet 9 inches past those spots from the rim's centre. 

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The value of x is, x = 7°.

What is isomorphic triangles?

Simple polygon triangulation is a common problem in computational geometry with applications in many fields of study. There are many algorithms, and it has been thoroughly studied. This page focuses on a slightly different issue: how to triangulate two straightforward polygons in a way that results in an isomorphic mapping between the two triangulations. As a result, any triangulation algorithm won't work for us.

Given:

ΔADB ≅ ΔCBD

∠ADB = 49° and ∠CDB = 7x

We have to find the value of x.

As the triangles are isomorphic, so their angles are also isomorphic.

⇒ ∠A ≅ ∠C,  ∠D ≅ ∠D,  ∠B ≅ ∠B

⇒ 49° = 7x

⇒ x = 7°

Hence, the value of x is, x = 7°.

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The equation in general form or​ slope-intercept form: y =x/4+4.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

given that,

To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 4x+y=39,

we will follow the steps below:

first write the equation 4x+y=39 in a standard form:

we will find the slope of our equation using this equation

4x+y=39

y=-4x+39

comparing the above with:

y = mx  + c

m = -4

now,

m_1.m_2 = -1  ( slope of perpendicular equations)

-4.m_2 = -1

m_2= 1/4

our slope m = 1/4

We can now go ahead and form our equation

x_1 =8 & y_1 =6

so, we get,

y-y_1 = m (x-x_1)

y-6 = 1/4(x-8)

solving, we get,

4y-24=x-8

y=x/4+4

Hence, The equation in general form or​ slope-intercept form: y =x/4+4.

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Answer: The sum of the cubes of the roots of a quadratic equation with coefficients a, b, and c can be found using the formula:

x³ + y³ = (x + y)(x² - xy + y²) = -b

Where x and y are the roots of the equation ax² + bx + c = 0.

In this case, the equation is 2x² - 10x + 12 = 0, so a = 2, b = -10, and c = 12.

So, the sum of the cubes of the roots is:

x³ + y³ = -b = -(-10) = 10

Therefore, the sum of the cubes of the roots of the equation 2x² - 10x + 12 = 0 is 10.

Step-by-step explanation:

Answer:

216 square feet

Step-by-step explanation:

Area of rectangular field = 3456 sq ft

Width = 48

So length = 3456/48 = 72

The length and width of the fenced-in area are 1/4th of that of the field

So for fenced-in area

length = 72/4 = 18

width = 48/4 = 12

Area of fenced-in portion = length x width = 18 x 12 = 216 square feet

Additional Note

Since we know the area of the field and the fact that the fenced-in area has a width and length 1/4th of the field, it can be computed by knowing the area alone

If both length and width are 1/4th, then area is reduced to 1/16th of original area

3456/16 = 216

No need to know the field width or length to answer this question

The number of flapjacks Kate can make is limited by the ingredient she has the least of, which is oats. So, Kate can make 120 flapjacks.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

First, we need to convert the ingredients from lbs to ounces:

6 lbs of oats = 6 lbs  × 16 ounces/lb = 96 ounces

5 lbs of butter = 5 lbs × 16 ounces/lb = 80 ounces

4 lbs of sugar = 4 lbs × 16 ounces/lb = 64 ounces

7 lbs of golden syrup = 7 lbs × 16 ounces/lb = 112 ounces

We can find the total amount of each ingredient required to make one flapjack and divide the available amount of each ingredient by the required amount to find the number of flapjacks that can be made:

= 96 ounces of oats / (4/5 ounces/flapjack) = 96 × (5/4) = 120 flapjacks

= 80 ounces of butter / (2/3 ounces/flapjack) = 80 × (3/2) = 120 flapjacks

= 64 ounces of sugar / (1/3 ounces/flapjack) = 64 × 3 = 192 flapjacks

= 112 ounces of golden syrup / (1/2 ounces/flapjack) = 112 × 2 = 224 flapjacks

Thus, the number of flapjacks Kate can make is limited by the ingredient she has the least of, which is oats. So, Kate can make 120 flapjacks.

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The slope of the line = rise/run = 2/3.

The slope of a line is a measure of how steep the line is and it is usually represented by the letter "m". The slope can be found using the rise and run of the line. The rise is the vertical distance between two points on the line and the run is the horizontal distance between the same two points.

The slope of a line is equal to the rise divided by the run. It is often represented as m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

For example, if you have a line that goes from point (3,5) to point (7,11), the rise would be 6 (11-5) and the run would be 4 (7-3), therefore the slope of the line would be 6/4 = 1.5

Given the graph above, the rise of the line is the blue line = 2 units.

The run is the red line = 3 units.

Slope (m) = rise/run = 2/3.

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The constant from given table is -1/3 and the equation for the relationship is y=-1/3x

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given table is

x, -6, 0, 3,  9,

y,  2,  0, -1, -3

y is directly proportional to k

y=kx

2=k(-6)

k=2/-6=-1/3

So the constant is 1/3.

Now let us find the equation

m=-3+1/9-3

=-2/6= -1/3

slope intercept form is y=-1/3x+b

Now let us find b

2=(-1/3)(-6)+b

2=2+b

b=0

so equation is y=-1/3x

Hence, the constant from given table is -1/3 and the equation for the relationship is y=-1/3x

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