A triangular lot is located at an intersection of two roads, Merivale and Clyde. The length of the lot along Merivale is 151.64 feet. The length along Clyde is 135.00 feet. The angle between the two roads is 87. There is a third road that runs along the third side of the triangular lot, connecting Merivale and Clyde. A) Draw the triangle. B) Calculate the length of the third side of the ldt, to two decimal places, and the two remaining acute angles, to the nearest degree.

Simplifying the linear equation 4a + 7 when a= 1/2 is 9

Linear equation is an equation in whi8ch the highest power of the variable is 1

From the linear equation, 4a + 7 when a = 1/2

By substituting for a in the equation

=4(1/2) + 7

By expanding the bracket

=(4x1/2) + 7

=4/2+7

=2+7

=9

Hence, The final answer to the linear equation 4a + 7 when a= 1/2 = 9

Learn more about Linear Equation on:https://brainly.com/question/2030026

#SPJ1

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the coefficient of the expression is +2 .

hope this helps.

Answer: 5b-8

Step-by-step explanation:

Answer:

179

Step-by-step explanation:

180- 2=189 this is because 2 of the students the 180 received a or b

The given question is incorrect. The correct question is:

Of the 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?

A. 75

B. 90

C. 105

D. 120

E. 135

The number of students who earned a C for the course can be represented by the fraction of 5/12 of the total number of students and is equal to 75. Hence, option A is the right choice.

A fraction in general means a part of. We represent a part of the whole using fractions. The total number of parts is taken as the denominator, while the parts used are taken as the numerator.

Fraction = Numerator/Denominator.

We are given that there are 180 students in a college course. 1/4 of them get an A for the course while 1/3 get a B. Rest of the students to get a C for the course.

We need to find the number of students who get a C.

Let the fraction of students getting a C be x.

We know that a whole fraction is always = 1.

∴ Fraction of students getting an A + Fraction of students getting a B + Fraction of students getting a C = Whole fraction.

or, 1/4 + 1/3 + x = 1

or, x = 1 - 1/4 - 1/3 = (12 - 3 - 4)/12 = 5/12

∴ 5/12 of the students get a C for the course.

Number of Students who get a C for the course = 5/12 of 180 = 5*15 = 75.

∴ The number of students who earned a C for the course can be represented by the fraction of 5/12 of the total number of students and is equal to 75. Hence, option A is the right choice.

Learn more about the fractions at

brainly.com/question/11562149

#SPJ2

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

Answer:

y=4x+2

Step-by-step explanation:

y=mx+b

replace m for 4 and b for 2

Answer:

Answer is 28

Step-by-step explanation:

Length = 5

Width = 9

Perimeter = length*2 + width*2

Perimeter = 5*2 + 9*2

Perimeter = 10 + 18 = 28

In the scenario above,  James can we create a function to combine the two by   f ( x ) = 8 x + 118.

In the question above, to be able to create a function, we have to show that;

s ( x ) = 102  

a ( x ) = 8 ( x + 2 )

So, a function that combines the two will be:

f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =

= 102 + 8 x + 16

Therefore    f ( x ) = 8 x + 118

Learn more about simplification from

https://brainly.com/question/723406

#SPJ1

To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the powers they possess, many rules of exponents are given.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The given value can be written as:

\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)

Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

Learn more about exponents here:

https://brainly.com/question/5497425

#SPJ1

Answer:

0.16 pounds. I am pretty sure you just add up all the numbers. I hope this helps!

Step-by-step explanation:

Answer:

1.62, 15/20, 16.2%

Step-by-step explanation:

Let us consider all the answers out of one. In percentages, 100% always equals 1. (If you ate 100% of a cookie, you would have eaten 1 cookie), 16.2% is much less than 100% and not even half of 100%.

16.2%<0.5

Following the same logic, imagine there are 20 cookies this time. 15/20 would be 15 out of the 20 cookies which is more than half.

15/20>0.5

Finally, 1.62 is greater than 1

1.62>1

You can tell I'm hungry rn lol, also I would appreciate if you could give Brainliest, I'm kind of on a streak

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

Learn more about integral here: brainly.com/question/18125359

#SPJ11

Answer:

The answer to ((-5) - 9+ (7+(-6)))*(-4) is 52

\(\sf Answer: \)

\(52\)

\(\sf Step-By-Step~ Explanation: \)

\(Equation\)

\(((-5) - 9 + (7+(-6))) \times (-4)\)

\(Subtract~~9~~and~~-5 = -14.\)

\((-14 + 7 - 6)~(-4)\)

\(Add~~-14~~and~~7 = -7\)

\((-7-6)~(-4)\)

\(Subtract~~6~~and~~-7 = -13\)

\(-13~(-4)\)

\(Lastly,~~multiply~~-13~~and~~-4 = 52\)

\(52\)

\(\huge\boxed{\sf Answer \ 52}\)

Answer:

a

Step-by-step explanation:

Answer: $149.8

Step-by-step explanation:

Find the 1% of the 140 which is 1.4 because 140/100 = 1.4

Times by 7 to get 7%. 1.4 x 7 = 9.8

Add them together. 140+9.8 = 149.8

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

a) The derivative of f(x) = x is f'(x) = 1.

b) The equation of the tangent line at x = 1 is y = x.

a) To find the derivative of the function f(x) = x using the limit process, we can start by applying the definition of the derivative:

f'(x) = lim(h->0) [f(x + h) - f(x)] / h

Substituting f(x)=x into formula, we have: f'(x) = lim(h->0) [(x + h) - x] / h

Simplifying the numerator: f'(x) = lim(h->0) h / h

Now, we can cancel out the h terms: f'(x) = lim(h->0) 1

Since the limit of a constant value is equal to the constant itself, we can conclude that: f'(x) = 1

b) To find the equation of the tangent line at x = 1, we need the slope of the tangent line and a point that lies on the line. We already know that the slope of the tangent line is 1, which is the derivative of f(x) = x.

Now, we can find the y-coordinate of the point on the tangent line by substituting x = 1 into the original function:  f(1) = 1

So, the point on the tangent line is (1, 1).

Using the point-slope form of a line, we can write the equation of the tangent line: y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope. Substituting the values, we get: y - 1 = 1(x - 1)

Simplifying:

y - 1 = x - 1

y = x

To learn more about tangent

https://brainly.com/question/30162650

#SPJ11

Answer:

Henry's garden:

Divide 24 and 18 by 6: you get a 4:3 ratio of tomato: green bean

Simon's garden:

divide both 30 and 25 by 5: you get a 6:5 ratio of tomato: to green bean.

Step-by-step explanation:

Hope this helps!

Elena's yearly cash inflows from the project after the payback period is $15,000. A correct answer is an option (b).

The payback period is the time it takes for the project's cash inflows to equal the initial investment. In this case, the payback period is 6 years, meaning that after 6 years, Elena will have received enough cash inflows to recover her initial investment of $150,000.

Since the project pays Elena an even amount per year for 10 years, and the payback period is 6 years, she will receive cash inflows for an additional 4 years after the payback period. Therefore, to calculate Elena's yearly cash inflows, we divide the remaining cash inflows by the number of years remaining:

Remaining cash inflows = $150,000 (initial investment) - cash inflows received during the payback period

= $150,000 - ($15,000 x 6)

= $60,000

Yearly cash inflows = Remaining cash inflows/number of years remaining

= $60,000 / 4

= $15,000

Hence, B is the correct option.

You can learn more about payback at: brainly.com/question/13978071

#SPJ11

The true relative error between the computed sum and 2π is then outputted for each value of n.

To compute the sum of the infinite series ∑(k=0 to n) 4^k (kt)^2 (2k+1) / (2k)!, we can use Python and double for loops. The outer loop iterates over the desired values of n, while the inner loop calculates the terms of the series for each value of k.

By incrementally summing the terms, we obtain the computed sum for each value of n. Next, we compare this computed sum to the value of 2π. The true relative error is calculated by subtracting 2π from the computed sum, dividing the result by 2π, and then taking the absolute value.

For the given values of n (10, 20, 30, 40, and 50), the computed sums and their respective true relative errors are outputted. Each line of the output corresponds to a different upper limit of summation.

The true relative error provides a measure of the difference between the computed sum and the expected value of 2π, indicating the accuracy of the approximation.

To know more about relative error refer here:

https://brainly.com/question/30403282

#SPJ11

Complete Question

The true relative error between the computed sum and 2π is then outputted for each value of n. Using Python and double for loops, compute the sum of the infinite series ∑(k=0 to n) 4^k (kt)^2 (2k+1) / (2k)! for the given values of n (10, 20, 30, 40, and 50). Compare the computed sum to 2π and calculate the true relative error by subtracting 2π from the computed sum, dividing the result by 2π, and taking the absolute value. Output the computed sums and their respective true relative errors, with each line of the output corresponding to a different upper limit of summation.

Answer:

first step is to add the both angles that are given =78+46

=124

second step is to minus 124 from 180 =180-124

=56 . I used 180 because that is the sum of all the angles in a triangle . so x =56

Answer:

$2300

Step-by-step explanation:

$1610 is 7/10 the original cost. Multiplying by 10/7 reverses that, and we get the starting cost of $2300

Hope this helps!

Answer:

b I think girl I don't really know

Answer:

Im sorry never did this before

The probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

The given data is

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

(a) calculate mean value of x:

μ = E(x)

  = ∑(xi.P(xi))

 = 4.13

(b)  calculate variance of x:

σ² = ∑(xi - E(x))².P(xi)

   = 1.81331

(c)  calculate standard deviation of x:

σ = √σ²

σ = √1.831

σ = 1.3539

The likelihood that the quantity of systems sold will be within one standard deviation of the its mean:

P(μ  - σ < x < μ  + σ ) = P(4.13 - 13539 < x < 4.13 + 1.3539)

                                = P(2.7761 < x < 5.4839)

                                = P(x = 3) + P(x = 4) + P(x = 5)

                                = 0.13 + 0.30 + 0.31

                                = 0.74

Thus, the probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

To know more about the Discrete Variable, here

https://brainly.com/question/18763328

#SPJ4

The complete question is-

Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

What is the probability that the number of systems sold is within 1 standard deviation of its mean value?

Answer:

Step-by-step explanation:

Given:

Room dimensions: 18 meters by 22 meters

Carpet cost: $28.50 per square meter

Carpet roll width: 12 meters

Since the carpet roll is 12 meters wide and the room's width is 18 meters, it is more efficient to lay the carpet along the width of the room.  It will look better with one large, continuous piece that is 12 x 22, seamed to one narrow piece of 6 x 22.

Number of rolls needed = Width of room / Width of carpet roll

= 18 meters / 12 meters

= 1.5 rolls

But you can't buy 1/2 roll so, round up to 2 rolls.

Length of carpet needed = Length of room

Length of carpet = 22 meters

Total area of carpet needed = Length of carpet x Width of carpet roll x Number of rolls

= 22 meters x 12 meters x 2 rolls

= 528 m²

Cost of carpet = Total area x Cost per square meter

= 528 m² x $28.50/m²

Cost of carpet = $15,048

Therefore, the most efficient way to lay the carpet is to use 2 rolls of carpet, with one roll covering 12 m of width and the other roll covering the remaining width (6 m). This arrangement requires just 1 seam. The total cost of the carpet will be $15,048.

a) the most efficient way to lay the carpet is to have one seam along the longer side, dividing it into two 12-meter sections, and a single piece along the shorter side.

b) The carpet will cost $13,680.

a) To find the most efficient way to lay the carpet, we need to minimize the number of seams required. In this case, since the carpet comes in rolls that are 12 meters wide, we should aim to minimize the number of cuts made along the width of the room.

Since the room measures 18 meters by 22 meters, we can use the 12-meter width of the carpet to cover the shorter side (18 meters) with a single piece. This leaves us with a longer side of 22 meters.

To cover the longer side, we can use two pieces of carpet, each measuring 12 meters in width. This way, we minimize the number of seams required.

So, the most efficient way to lay the carpet is to have one seam along the longer side, dividing it into two 12-meter sections, and a single piece along the shorter side.

b) Now let's calculate the cost of the carpet for the selected configuration.

The cost of the carpet is given as $28.50 per square meter. To calculate the total cost, we need to find the total area of the carpet required.

For the shorter side (18 meters), we need a single piece of carpet with a width of 12 meters, resulting in an area of 18 meters * 12 meters = 216 square meters.

For the longer side (22 meters), we need two pieces of carpet, each with a width of 12 meters. The total width covered will be 12 meters + 12 meters = 24 meters. However, since the room is only 22 meters long, we will trim off the excess, resulting in an area of 22 meters * 12 meters = 264 square meters.

The total area of the carpet required is 216 square meters + 264 square meters = 480 square meters.

Now, we can calculate the total cost by multiplying the total area by the cost per square meter:

Total cost = 480 square meters * $28.50/square meter

Calculating the value, we find that the carpet will cost $13,680.

Visit here to learn more about width brainly.com/question/30282058

#SPJ11