Please help me find the missing length

Answer:

8+x/2 = 12

=> x/2 = 12 - 8

=> x/2 = 4

=> x = 4 * 2

=> x = 8

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Answer:

\(P(A\ and\ B) = \frac{3}{7}\)

Step-by-step explanation:

Your question is not well presented; (See Attachment for complete details)

Required

Find P(A n B)

where

A = Event that the place is a city

B = Event that the place is in North

The first step is to get the sample space;

Let S represent the sample space;

\(S = \{India,\ Tokyo,\ Houston,\ Peru,\ New York,\ Tijuana,\ Canada \}\)

\(n(S) = 7\)

The next is to list events A and B

A = City

\(A = \{Tokyo,\ Houston,\ New York,\ Tijuana\}\)

B = North America

\(B = \{Houston,\ New York,\ Tijuana,\ Canada\}\)

The next is to list common elements in A and B

\(A\ n\ B = \{Houston,\ New York,\ Tijuana\}\)

\(n(A\ and\ B) = 3\)

The probability of A and B is calculated as follows;

\(P(A\ and\ B) = \frac{n(A\ and\ B)}{n(S)}\)

Substitute \(n(A\ and\ B) = 3\) and \(n(S) = 7\) in the expression above

\(P(A\ and\ B) = \frac{3}{7}\)

Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Answer:

y = 1/4x + 2

Step-by-step explanation:

slope is 2/8 which is simplified to 1/4

y intercept is 2

Answer:

perimeter is 36 inches and the area is 32 square inches

According to the question a trinomial with a leading coefficient of 3 and a constant term of -5 would be 3x² + x - 5.

A trinomial is a polynomial with three terms is in the form of Ax²+Bx+C, where, A is the leading coefficient of veriable X²,  B is the middle coefficient of x and C is the constant of polynomial.

A trinomial with a leading coefficient of 3 and a constant term of -5.

Here, a=3,c=-5 and consider b=1,

Therefore, a trinomial with a leading coefficient of 3 and a constant term of -5 would be 3x² + x - 5.

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It step 3 I got The same question on khan academy

Rule: opposite sides are equal/ angles are equal.

Answer:-

900

Verification:-

\(\\ \sf\longmapsto \dfrac{900}{5}=180\)

\(\\ \sf\longmapsto \dfrac{900}{10}=90\)

\(\\ \sf\longmapsto \dfrac{900}{15}=6\)

Answer:

a) 100

→ \(\frac{100}{5}\) = 20

→ \(\frac{100}{10}\) = 10

→ \(\frac{100}{15}\) = 6⅔

100 is not divisible by 15

b) 625

→ \(\frac{625}{5}\) = 125

→ \(\frac{625}{10}\) = 62.5

→ \(\frac{625}{15}\) = 41.6

625 is not divisible by 10 and 15.

c) 900

→ \(\frac{900}{5}\) = 180

→ \(\frac{900}{10}\) = 90

→ \(\frac{900}{15}\) = 60

900 is the correct answer.

d) 225

→ \(\frac{225}{5}\) = 45

→ \(\frac{225}{10}\) = 22.5

→ \(\frac{225}{15}\) = 15

225 is not divisible by 15

900 is the correct answer.

Answer:

B C E on edge

Step-by-step explanation:

Answer:

correct answer BCE

Step-by-step explanation:

\(\\ \sf\longmapsto 1\dfrac{1}{2}+2\dfrac{3}{4}\)

\(\\ \sf\longmapsto \dfrac{3}{2}+\dfrac{11}{4}\)

\(\\ \sf\longmapsto \dfrac{6+11}{4}\)

\(\\ \sf\longmapsto \dfrac{17}{4}\)

2:-

\(\\ \sf\longmapsto 4\dfrac{3}{7}+6\dfrac{1}{5}\)

\(\\ \sf\longmapsto \dfrac{31}{7}+\dfrac{31}{5}\)

\(\\ \sf\longmapsto \dfrac{155+225}{35}\)

\(\\ \sf\longmapsto \dfrac{380}{35}\)

\(\\ \sf\longmapsto 12\)

3:-

\(\\ \sf\longmapsto 4\dfrac{2}{5}+5\dfrac{2}{6}\)

\(\\ \sf\longmapsto \dfrac{22}{5}+\dfrac{32}{6}\)

\(\\ \sf\longmapsto \dfrac{132+160}{30}\)

\(\\ \sf\longmapsto \dfrac{292}{30}\)

4:-

\(\\ \sf\longmapsto 3\dfrac{7}{7}+3\dfrac{1}{3}\)

\(\\ \sf\longmapsto \dfrac{28}{7}+\dfrac{10}{3}\)

\(\\ \sf\longmapsto 4+\dfrac{10}{3}\)

\(\\ \sf\longmapsto \dfrac{12+10}{3}\)

\(\\ \sf\longmapsto \dfrac{22}{3}\)

\( \bf \large \longrightarrow \: \: 1 \frac{1}{2} \: + \: 2 \frac{3}{4} \: = \: \\ \)

\( \bf \large \longrightarrow \: \: \frac{3}{2} \: + \: \frac{11}{4} \\ \)

\( \bf \large \longrightarrow \: \: \frac{6 \: + \:11 }{4} \\ \)

\( \bf \large \longrightarrow \: \: \frac{17}{4} \\ \)

\(\bf \large \longrightarrow \: \: 4 \frac{3}{7} \: + \: 6 \frac{1}{5} \\ \)

\(\bf \large \longrightarrow \: \: \frac{31}{7} \: + \: \frac{31}{5} \\ \)

\(\bf \large \longrightarrow \: \: \frac{155 \: + \: 217}{35} \\ \)

\(\bf \large \longrightarrow \: \: \frac{372}{35} \\ \)

\(\bf \large \longrightarrow \: \: 4 \frac{2}{5} \: + \: 5 \frac{2}{6} \\ \)

\(\bf \large \longrightarrow \: \: \frac{22}{5} \: + \: \frac{32}{6} \\ \)

\(\bf \large \longrightarrow \: \: \frac{132 \: + \: 160}{30} \\ \)

\(\bf \large \longrightarrow \: \: \frac{292}{30} \\ \)

\(\bf \large \longrightarrow \: \: 3 \frac{7}{7} \: + \: 3 \frac{1}{3} \\ \)

\(\bf \large \longrightarrow \: \: \frac{28}{7} \: + \: \frac{10}{3} \\ \)

\(\bf \large \longrightarrow \: \: \cancel\frac{28 ^{4} }{7 \: ^{1} } \: + \: \frac{10}{3} \\ \)

\(\bf \large \longrightarrow \: \: \frac{4}{1} \: + \: \frac{10}{3} \\ \)

\(\bf \large \longrightarrow \: \: \frac{12 \: + \: 10}{3} \\ \)

\(\bf \large \longrightarrow \: \: \frac{22}{3} \\ \)

Step-by-step explanation:

\( \frac{12}{6} \times \frac{12}{1} = 24\)

That is the answer

Answer:

how do we find this out

Step-by-step explanation:

Answer:

The answer is graph D

Step-by-step explanation:

Starting at trigangle ABC apply a 90-degree rotation. This puts the triangle in quadrant 1 (Q1/the top right). So this leaves you with graphs A,C or D left. The eaiest way to see the orientation of the shape wuold be to turn the page 90-degrees clockwise.

Then staring from the triangle in Q1 reflect over the x-axis. This is the tranformation of the image folded over the horizontal axis. So it would place the triangle into quandant 4 (Q4/ bottom right) and would give the answer as graph D.

Answer:

\(WX=\sqrt{970}\)

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle \(\triangle WRX\) is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that \(a^2+b^2=c^2\), where \(a\) and \(b\) are two legs of the triangle and \(c\) is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, \(XR=\frac{1}{2}\cdot 46=23\).

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

\(21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}\)

Answer:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem- \(a^{2} +b^{2} =c^{2}\)

XR=23 by taking half of 46

\(21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}\)

sqrt both sides to get your answer of 31.14

Answer:

\(yes \\ 1 : 3 = 3 : 9\)

Step-by-step explanation:

yes.

\(1 : 3 = 3 : 9\)

Let see how is it possible,

\(3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9\)

Also,

\(1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

What is extrapolation?

A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.

Predicting hypothetical values outside of a specific data set is the goal of extrapolation.

Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.

Hence, extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

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The other roots of the given polynomial equation are 2 and -2.

Given polynomial equation is:

\(x^{6} -16x^{2} =4x^{4} -64\).....(1)

A polynomial is the sum of monomials of the form axⁿ where n is a whole number.

Rewriting the (1) as:

\(x^{6} -4x^{4} -16x^{2} +64=0\)

\(x^{4} (x^{2} -4)-16(x^{2} -4)=0\)

\((x^{2} -4)(x^{4} -16)=0\)

\(x^{2} -4=0\)

\(x^{2} =4\)

\(x=2\)

\(x=-2\)

So, the other roots are 2 and -2.

Hence, the other roots of the given polynomial equation are 2 and -2.

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Answer:

its b

Step-by-step explanation:

took it

The correct form of a particular solution of the differential equation y" + 4y = cos (2x) is y_p = A cos (2x) + B sin (2x).

The complementary function of the differential equation is y_c = C_1 cos (2x) + C_2 sin (2x), where C_1 and C_2 are constants determined by the initial conditions.

To find the particular solution, we assume that y_p has the same form as the forcing function, which is cos (2x). Since the equation is linear, we can superimpose the particular solution on top of the complementary function, so we have:

y_p = A cos (2x) + B sin (2x)

Taking the first and second derivatives of y_p, we get:

y'_p = -2A sin (2x) + 2B cos (2x)

y''_p = -4A cos (2x) - 4B sin (2x)

Substituting these expressions into the differential equation, we have:

(-4A cos (2x) - 4B sin (2x)) + 4(A cos (2x) + B sin (2x)) = cos (2x)

Simplifying, we get:

(4B - 4A) sin (2x) + (4A + 4B) cos (2x) = cos (2x)

We can solve for A and B by equating coefficients of sin (2x) and cos (2x) on both sides of the equation. This leads to:

A = 0

B = 1/4

Therefore, the particular solution is y_p = A cos (2x) + B sin (2x) = 1/4 sin (2x).

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Answer:

35=3.5s =40 4.5s

Step-by-step explanation:

tell me if I'm wrong.

Answer:

D) 1/2

Step-by-step explanation:

easy its rise/run

Answer:

1/2

Step-by-step explanation:

We have a point at ( 0,-2) and a point at (4,0)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = (0- -2)/(4-0)

   = (0+2)/(4-0)

   2/4

   = 1/2

Answer:

No this is a not good experimental design

Step-by-step explanation:

In an experiment, we seek to establish cause an effect relationship. The effect of one variable on another is examined while keeping other variables constant. A control often establishes the validity of the experiment.

Now the ten rubber bands were selected at random from each box. The experimental group was put in a freezer while the control group was maintained at room temperature.

Comparison of the mean stretch before breakage of the rubber bands in both groups establishes the effect of cold temperature on elasticity of rubber bands.

However, this is not a good experimental design because the sample rubber bands should have been picked from different boxes of brand A and B and not from the same box.

Secondly, samples from the two brands should have been put in the freezer and kept at room temperature. That is, ten rubber bands from A are put on the freezer and another 10 are left at room temperature. 10 rubber bands from B are put in the freezer and another 10 are left at room temperature.

The mean elasticity of the both groups can now be meaningfully compared from the data obtained.

Therefore, \(8\sqrt{2}\) number of inches in the perimeter of new square if the perimeter of the original  square is 16 inches.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

Given: The midpoints of the adjacent sides of a square are connected to form a new square. The perimeter of the original square is 16 inches.

As perimeter is 16 in, so the side is 4 in.

Each side of the new square is the hypotenuse of an isosceles right triangle with legs of length 2 inches.

\((2 in)^2 + (2 in)^2 = s^2\\s^2 = 8 in^2\\s = 2\sqrt{2} in\)

Therefore,

Perimeter = 4s

\(P = 4(2\sqrt{2}) = 8\sqrt{2} in\)

Therefore, \(8\sqrt{2}\) number of inches in the perimeter of new square if the perimeter of the original  square is 16 inches.

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Answer:

D

Step-by-step explanation:

The coordinates of A'B'C' are:

The correct answer is A’(-3.75, -0.75); B’(0, 1.5); C’(3, -1.5).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the coordinates of the dilated triangle, we multiply the coordinates of each vertex of the original triangle by the scale factor of 0.75.

So, for vertex A, we have:

x-coordinate of A’ = 0.75 × (-5) = -3.75

y-coordinate of A’ = 0.75 × (1) = 0.75

Thus, A’ has coordinates (-3.75, 0.75)

Similarly, for vertex B, we have:

x-coordinate of B’ = 0.75 × (0) = 0

y-coordinate of B’ = 0.75 × (2) = 1.5

Thus, B’ has coordinates (0, 1.5)

Finally, for vertex C, we have:

x-coordinate of C’ = 0.75 × (4) = 3

y-coordinate of C’ = 0.75 × (-2) = -15

Thus, C’ has coordinates (3, -1.5)

Therefore, the correct answer is A’(-3.75, -0.75); B’(0, 1.5); C’(3, -1.5).

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Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs

Answer:

\(7x-11+5x-1=180\\12x-12=180\\12x=192\\\boxed{x=16}\)

Answer:

x=16

Step-by-step explanation:

The two angles form a straight line so they add to 180

7x-11 + 5x-1 = 180

Combine like terms

12x -12 =180

Add 12 to each side

12x-12 +12 =180+12

12x = 192

Divide each side by 12

12x/12 =192/12

x=16

A = l × w

Step-by-step explanation:

A = 4 × ( 90 ÷ 100 ) m

A = 4 × 0,9

A = 3,6 m²ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ

orᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ

A = ( 4 × 100 ) cm × 90

A = 400 × 90

A = 36000 cm²ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ

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The new dimensions of the garden are 8 feet and 7 feet.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rectangular garden = 5 feet,

And the width of rectangular garden = 4 feet.

The area of rectangular garden = 5 x 4 = 10 square feet.

Let the length and width are increased by x feet, to make the new area 56 square feet.

The new length = 5 + x,

and new width = 4 + x.

The area = 56

(5 + x) × (4 + x) = 56

Substitute, x= 3 which satisfies the equation,

So, the new length of garden = 5 + 3 = 8 feet,

And the new width of garden = 4 + 3 = 7 feet.

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