The common endpoint of two rays that make up an angle.

Using Heron's formula, the area of the porch is 294 squared feet

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

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Answer:

y= -x + 6

Step-by-step explanation:

-x + y =1 ---> y = x+1

the line perpendicular to this line should have negative inverse slope

the slope is 1 so the negative inverse of 1 is -1

set up

y = -x +b

since it goes through (4,2)

then we have

2 = -4 +b

b=6

so the linear equation is y = -x+6

The solution to the system of equations in the graph is (2,1) because it is the coordinate of the intersection of the lines.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations algebraically or graphically.When you solve algebraically, you can apply the substitution or addition methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other. When you solve graphically, the solution is given from the intersection point coordinates.

The question shows two lines, the solution of the system of equations will be the intersection point coordinates between these lines. Therefore, the solution is x=2 and y=1 (2,1).

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Answer:

22.6%.

Step-by-step explanation:

To calculate the percent error of a measurement, you can use the following formula:

Percent Error = (|measured value - actual value| / actual value) x 100%

Plugging in the values from the problem:

Percent Error = (|4.1 inches - 5.3 inches| / 5.3 inches) x 100% = (1.2 inches / 5.3 inches) x 100% = 0.226 x 100% = 22.6%

To the nearest tenth of a percent, the percent error is 22.6%.

Answer:

the ratio of distance descended over time

Step-by-step explanation:

Answer:

cylinder? Radius × Radius × Height × Pi ... You have a cylinder with a 5 inch diameter and it's 6 inches high. ... (5 Inch Diameter Divided by 2) = 2.5 Inch Radius

Answer:

if is the first according to the question

2+if is the second

4+ if is the third

NOTE: numerically

1 is the first even number

3 is the second which is 2+1

5 is the next which is 4 + 1

it continues

Answer:

\(a) 3.6011*10^4 \ \\ b) 8.289786223^-11\)

Step-by-step explanation:

Well, I hope it helps you heh

Answer:

C. Uniform circular motion is when a object travels on a circular path at a constant speed.

Answer:

No

Step-by-step explanation:

1+7/x=y cannot be a linear equation because x is the denominator. A variable in the denominator means it has restrictions to what it can or cannot be. For example it can never be 0.

Answer:

Step-by-step explanation:

Let's first find the coordinates of the center of the circle. Since the circle passes through the point (1, 2), we know that this point is on the circle. Therefore, the distance from the center of the circle to the point (1, 2) is equal to the radius of the circle. We can use the distance formula to find the distance from the center of the circle to the point (1, 2):

sqrt((x - 1)^2 + (y - 2)^2) = 5

Squaring both sides, we get:

(x - 1)^2 + (y - 2)^2 = 25

Expanding the left side, we get:

x^2 - 2x + 1 + y^2 - 4y + 4 = 25

Simplifying, we get:

x^2 - 2x + y^2 - 4y - 20 = 0

Completing the square for the x and y terms, we get:

(x - 1)^2 - 1 + (y - 2)^2 - 4 - 20 = 0

Simplifying, we get:

(x - 1)^2 + (y - 2)^2 = 25

Therefore, the equation of the circle is:

(x - 1)^2 + (y - 2)^2 = 2

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

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Answer: hi someone else answered this but you should report it its not an answer anyway here is the answer. 12

Step-by-step explanation:

write out the factors of both numbers:

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.

then find the highest number in both, 12.

and thats the hcf. hope this helped but report that person they are not helping. :)

Answer:

8.80

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

The hundredths place is occupied by the 9.

First, drop the last 8.

8.79

Since the digit to the right of the dropped 9 is an 8, you round up.

8.79 becomes 8.80

Answer: 8.80

Answer:

I don't understand what the question is actually trying to ask me but 45 backwards is 54 and it will greater than the original number. Or 11 + 45 is 56. I don't know! The question doesn't have good grammar so...

Step-by-step explanation:

The vertex form for the given quadratic function \(f(x)= - x ^2 - 12 x - 42\) is  \(f(x) = -1(x - 6)^2 - 150\).

To find the vertex form of the given quadratic function, we can complete the square. The vertex form of a quadratic function is given by the equation: f(x) = a(x - h)^2 + k where (h, k) represents the coordinates of the vertex.

Step 1: Identify the values of a, b, and c in the given quadratic function f(x) = \(ax^2 + bx + c\). In this case, a = -1, b = -12, and c = -42. Step 2: Determine the value of h using the formula h = -b / (2a).

Substitute the values of a and b into the formula to get h = -(-12) / (2*(-1)) = 12 / 2 = 6. Step 3: Compute the value of k by substituting the value of h into the original function.

Substitute h = 6 into f(x) to get f(6) = -\(6^2\) - 12(6) - 42 = -36 - 72 - 42 = -150. Step 4: Write the vertex form of the quadratic function. Using the values of h and k obtained in the previous steps, the vertex form of the given quadratic function is: \(f(x) = -1(x - 6)^2 - 150\)

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Answer: Diedre collected 24 cans

Step-by-step explanation:

let x be the number of cans Diedre collected

x+36=60

x=60-36

x=24

Answer:

y=10+10x using 20, 30, 40, and 50

Step-by-step explanation:

If we take the numbers 20, 30, 40, and 50, we can see that they're all 10 apart from each other, so a rule we can make with these four numbers is y=10+10x where x is the nth term.

the expression equivalent to 7k+13-4K+10+5k-6 is 8k + 17. correct option: (B) 14+72

How to do and what is expression equivalent?

Simplifying the expression by combining like terms, we get:

7k + 13 - 4k + 10 + 5k - 6

= (7k - 4k + 5k) + (13 + 10 - 6)

= 8k + 17

Therefore, the expression equivalent to 7k+13-4K+10+5k-6 is 8k + 17. correct option would be : (B)

Two expressions are equivalent if they represent the same mathematical value for all possible values of the variables. In other words, if you substitute any value for the variables in both expressions, the resulting values will be the same.

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Answer:

3w + 8 = 2

Step-by-step explanation:

product of a number and 3 is w * 3

eight more than the above is 3w + 8

which is equal to 2

3w + 8 = 2

Answer:

Step-by-step explanation:

Given

13th term is:

His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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Answer:

1/8

Step-by-step explanation:

2*2*2 = 8

There are 8 possible outcomes when flipping 3 coins

Only 1 is a winner ( HHH)

P( winning) = 1/8

Answer:

A ≈ 391.1 feet

formula to find the area of an octagon is shown below

\(area = 2(1 + \sqrt{2} )a { }^{2} \)

Answer:

\(y=-\frac{2}{3}x\)

Step-by-step explanation:

Equation: y=mx+b

we know the slope (m) and so we can write

(-2/3)x+b=y

we need to solve for b

to do this plug in 6 for x and -4 for y

(-2/3)(6)+b= -4

-4+b= -4

b=0

therefore the final answer is just

(-2/3)x

Using laws of indices, we can easily find the values of expressions below.

To solve this given problem, we have to apply different laws of indices.

12.

\((x^4 * x^-8)^3 = x^-^1^2=\frac{1}{x^1^2}\)

13.

\((a^5b^2)^-^3* (a^-^2)^-^3 = \frac{1}{a^9b^6}\)

14.

\(\frac{(m^-^3n^-^4)^8}{(m^2n^5)^-^7}=\frac{n^3}{m^1^0}\)

15.

\(\frac{(p^-^2^0^0q^1^7^0)^-^3^0}{(p^4^0q^5^0)^9^0} =\frac{p^2^4^0^0}{q^9^6^0^0}\)

16.

\(\frac{[(x^2y^8)^-^1]^3*(y^-^1^2)^6}{(x^-4y^5)^2*x^6(y^-^1)^3}=\frac{1}{x^4y^1^0^3}\)

17.

\(\frac{(2m^-^7n^8)^6}{4m^9n^-^5)^-^3}*\frac{(8m^-5n)^6}{(2mn^3)^-5} = \frac{134217728n^7^4}{m^7^6}\)

From the above calculation, we can solve the respective given expression using indices.

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Answer:

The probability that a defective ball bearing was manufactured on a Friday is 0.375.

Step-by-step explanation:

The conditional probability of an events X given that another event A has already occurred is:

\(P(X|A)=\frac{P(A|X)P(X)}{P(A)}\)

The information provided is as follows:

P (D|M) = 0.08

P (D|Tu) = 0.04

P (D|W) = 0.04

P (D|Th) = 0.04

P (D|F) = 0.12

It is provided that the Company manufactures an equal amount of ball bearings, 20% on each weekday, i.e.

P (M) = P (Tu) = P (W) = P (Th) = P (F) = 0.20

Compute the probability of manufacturing a defective ball bearing on any given day as follows:

\(P(D)=P(D|M)P(M)+P(D|Tu)P(Tu)+P(D|W)P(W)\\+P(D|Th)P(Th)+P(D|F)P(F)\)

      \(=(0.08\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.12\times 0.20)\\\\=0.064\)

Compute the probability that a defective ball bearing was manufactured on a Friday as follows:

\(P(F|D)=\frac{(D|F)P(F)}{P(D)}\)

             \(=\frac{0.12\times 0.20}{0.064}\\\\=0.375\)

Thus, the probability that a defective ball bearing was manufactured on a Friday is 0.375.

The probability that x is between 25 and 30 is 0.087.

The cumulative distribution function (CDF) of an exponential distribution with mean 25 is given by:

F(x) = 1 - exp(-x/25)

The probability that x is between 25 and 30 can be found by evaluating the CDF at x = 30 and x = 25 and subtracting the two values:

P(25 < x < 30) = F(30) - F(25) = (1 - exp(-30/25)) - (1 - exp(-25/25))

= (1 - exp(-1.2)) - (1 - exp(-1))

= 0.255 - 0.368

= 0.087

So, the probability that x is between 25 and 30 is 0.087.

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If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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