Find the perimeter of the following figure.

Answer:

A is the correct answer

Step-by-step explanation:

Mathematically if we have lengths a, b and c

For a triangle to occur, let us say that the third side is c

then a + b must be greater than or equal to c

Hence c must be equal to (4 + 8) or greater than (4 + 8)

With the options given , A is the correct answer

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

learn more about Histogram here:

https://brainly.com/question/1230107

#SPJ1

Answer:the answer is 154682

Step-by-step explanation:

Answer:

cos 25° = X/11

and

sin 65° = X/11

is this good enough or do you need more workings?

Answer:

C = 90°

Step-by-step explanation:

The interior angles in every triangle are equal to 180 degrees. So, this means that

\( \alpha + \beta + \gamma \\ = 180 \: degrees\)

Which means that A + B +C = 180 degrees

A=25°

B = 65°

C =?

C = 180° - (A + B)

C = 180° - (25° +65°)

C = 180° - 90°

C = 90°

Answer:

see explanation

Step-by-step explanation:

(1)

The axis of symmetry is situated midway between the x- intercepts, thus

x = \(\frac{-3+5}{2}\) = \(\frac{2}{2}\) = 1

Equation of axis of symmetry is x = 1 → d

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

(2)

The x- intercepts of a quadratic are the solutions, thus

x = 2 and x = - 3 → b

Answer:

(c+3b)/8 = a

Step-by-step explanation:

c = 8a -3b

Add 3b to each side

c +3b = 8a-3b+3b

c +3b = 8a

Divide each side by 8

(c+3b)/8 = 8a/8

(c+3b)/8 = a

Answer:

above sea level

Step-by-step explanation:

Answer:

11.65 km / day

Step-by-step explanation:

We can calculate the amount of daily kilometer in the following way

First day: 2 * 6 = 12 km

Second day: 1.5 * 6 = 9 km

Third day: 1.333 * 6 = 8 km

Fourth day: 2.4 * 6 = 14.4 km

Sixth day: 1.666 * 6 = 10 km

on Saturday: 2.75 * 6 = 16.5 km

the average per day

(12 + 9 + 8 + 14.4 + 10 +16.5) / 6 = 11.65

11.65 km/day

The data set is

1, 2, 4, 7

The answers are;

The median in a case where the data set is an even number, then the median would take account of both middle values and then calculate addition of both and then divide by 2

The Mode is the most frequently occuring value in the data set. In this case, all observed data occur just once, and none of them occur more than once. Hence there is no Mode

Answer:

DC = CE =33.5

Step-by-step explanation:

For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}

The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:

a) For s = {-2, -1, 0, 1, 2, 3}:

  - For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  Therefore, f(s) = {1, 0, 0, 0, 1, 3}.

b) For s = {0, 1, 2, 3, 4, 5}:

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  - For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  Therefore, f(s) = {0, 0, 1, 3, 5, 8}.

c) For s = {1, 5, 7, 11}:

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  - For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.

  - For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.

  Therefore, f(s) = {0, 8, 16, 40}.

d) For s = {2, 6, 10, 14}:

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 6, (6)²/3 = 36/3 = 12.

  - For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.

  - For 14, (14)²/3 = 196

The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.

Learn more about sets here: https://brainly.com/question/28860949

#SPJ11

Answer:

Step-by-step explanation:

Points we are interested in given:

Points C and D have 2 possible places

1. To the left from A and B on the grid. They will have coordinates:

2. To the right from A and B on the grid. They will have coordinates:

Correct answer choice reflecting these coordinates is the last one which reflects the second option

Also see attached

Answer:

The answer is C!

Explanation:

I just took the test! :)

The question is incomplete

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

Learn more about linear system

https://brainly.com/question/28977228

#SPJ4

Using Stokes' theorem, the line integral can be converted to a surface integral over the triangle bounded by the given vertices. The surface integral can be evaluated by parameterizing the triangle and calculating the dot product with the curl of the vector field.

To evaluate the given line integral using Stokes' theorem, we first need to find the curl of the vector field F = (5xyz, 3xy, x). The curl of F is given by ∇ × F = (∂Q/∂y - ∂P/∂z, ∂P/∂z - ∂R/∂x, ∂R/∂x - ∂Q/∂y), where P = 5xyz, Q = 3xy, and R = x.

Calculating the partial derivatives, we have:

∂P/∂z = 5xy

∂Q/∂y = 3x

∂R/∂x = 1

Thus, ∇ × F = (5xy - 3x, 1 - 5xy, 3x - 3x) = (2x - 3, 1 - 5xy, 0).

Now, let's find the surface integral over the triangle bounded by the given vertices. We can parameterize the triangle using two variables u and v such that (u, v) lies in the region R: u ≥ 0, v ≥ 0, and u + v ≤ 1.

Using the parameterization, we have:

x = 2u + v,

y = u + v,

z = 5u + 3v.

Calculating the cross product of the partial derivatives ∂r/∂u and ∂r/∂v, we get ∂r/∂u × ∂r/∂v = (3, -1, 1).

The surface integral becomes ∫∫R (2u - 3, 1 - 5(2u+v)(u+v), 0) ⋅ (3, -1, 1) dA, where dA is the area element.

Integrating over the region R using these expressions, we can evaluate the surface integral and obtain the final result.

To learn more about Stokes' theorem click here brainly.com/question/29751072

#SPJ11

The random variable X shows the absolute difference between the number of spots on a green die and a red die rolled.

The Probability Mass Function (PMF) refers to the probability of each possible outcome, and the sample space is the set of all possible outcomes.

Suppose the red die and the green die, both of which have six sides numbered from 1 to 6.

The random variable X represents the absolute difference between the numbers rolled on the two dice. The values that X can take range from 0 to 5, the absolute difference cannot exceed 5.

To determine the PMF, we need to calculate the probability of each possible outcome. The sample space consists of all the possible combinations of rolls from the two dice, that means 36 in total (6 possibilities for the green die multiplied by 6 possibilities for the red die).

For each value of X, we find the number of combinations that yield that difference. when the green die rolls a 2 and the red die rolls a 4, the absolute difference is 2.

We count all such combinations for each value of X and divide it by the total number of combinations (36) to obtain the probability of each outcome.

The resulting PMF for X will have six entries, corresponding to the probabilities of X taking on the values 0, 1, 2, 3, 4, and 5. These probabilities will sum to 1, as they cover all possible outcomes.

Learn more about  Probability Mass Function:

brainly.com/question/30765833

#SPJ4

Answer:

A 95% confidence interval for μ is (LIL) 4.61.

The confidence interval for the population mean μ is constructed as follows:

Here, x is the sample mean, σ is the population standard deviation,

n is the sample size, and

zα/2 is the z-value

that corresponds to a level of confidence of (1-α)100%.

Given that c = 0.95, x = 4.8, σ = 0.6, and n = 55.

Confidence interval is given by;

(LIL), (UIL) = (x - zα/2*σ/√n), (x + zα/2*σ/√n)

where LIL is the lower limit of the interval and UIL is the upper limit of the interval.

Now, we need to determine the value of zα/2 such that the level of confidence is 0.95.

In the standard normal distribution, the area to the left of

zα/2 is (1-α)/2 or

(1-0.95)/2 = 0.025.

Using the z-table, we can find that the z-value that corresponds to this area is 1.96.

Therefore, the 95% confidence interval for μ is given by;

(LIL), (UIL) = (4.8 - 1.96*0.6/√55), (4.8 + 1.96*0.6/√55)= (4.61, 4.99)

Therefore, a 95% confidence interval for μ is (LIL) 4.61. (Round to two decimal places as needed.)

Learn more about  confidence interval, visit here

https://brainly.com/question/15712887

#SPJ11

Answer: ^^heya

your answer is ≈ 8.8

Step-by-step explanation:

C=2πr

d=2r

\(\\d=\)  \(\frac{c}{\pi} =\frac{27.63}{\pi} = 8.79554\)

rounded answer ≈ 8.8

Answer:

D=8.8m

Step-by-step explanation:

d=c/π

27.632/3.14=8.8

D=8.8m

Answer:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}

Answer: D

Step-by-step explanation: Im from the future D is correct on edge yw :)

Step-by-step explanation:

Triangle

\(7 \times 8 \div 2 = 28\)

Rectangle

\(16 \times 7 = 112\)

Total

\(112 + 28 = 140\)

¿Cuanto tardara en tocar 10 campanadas?

The cost of 4 liters of petrol is 618.

To find the cost of 4 liters of petrol, we can use a proportion. Which means we will equate the two sides of equation having proportions.

We know that 7/2 liters of petrol cost 2163/8. We can write this as,

(7/2) / (2163/8) = 4 / x

where x is the cost of 4 liters of petrol.

To solve for x, we can cross-multiply,

(7/2) * x = (2163/8) * 4

Simplifying both sides, we get,

x = (2163/8) * 4 * (2/7)

x = 309 * 2

x = 618

Therefore, 4 liters of petrol is 618 in price according to question.

To learn more about cost here:

https://brainly.com/question/17369655

#SPJ4

Answer:

inches something grows every month

x&y

independent - months

dependent - inches

Step-by-step explanation:

a. look at the y and x labels and make a statement along the lines of {y} grows {x}

b. x and y axis (inches is y, months is x)

c.  the independent variable grows on its own. it is generally on the x axis

d. the dependent variable grows based on the other variable it interacts with. usually on the y axis

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

Learn more on the vectors here: https://brainly.com/question/2375446

#SPJ1

Answer:

B.18 times 2/9=4

Step-by-step explanation:

Given that :

Number of mixed nuts grabbed by pete = 18

Fraction of almonds = 2/9

Number of almonds grabbed by pete :

Fraction grabbed × number of mixed fruits grabbed

2/9 × 18

= 36 / 9

= 4

Hence, Pete grabbed 4 almonds

Answer:\(-\frac{2}{1}\)

Step-by-step explanation:

Find the slope of a line that passes through the points (-7, 3) and (-5, -1).

Plug in the two points into \(\frac{y_{2} - y_{1} }{x_{2} -x_{1} }\) and solve.

\(\frac{(-1)-(3)}{(-5)-(-7)}\) = \(\frac{-4}{2}\)

Simplify the fraction.

\(\frac{-4}{2}\) →\(\frac{-2}{1}\)

The slope of this line would be \(-\frac{2}{1}\).

Answer:

3/20

Step-by-step explanation:

Of means multiply. When it says 3/10 of 4/8, it just means 3/10*4/8 which when multiplied across gives you 12/80. Which can be simplified to 3/20.

Hope this helps.

Answer:

15.9

Step-by-step explanation: