Every​ morning, my neighbor goes out walking. I observe that​ 20% of the time she walks with her​ beagle, 70% of the time she walks with her golden​ retriever, and​ 30% of the time she walks alone. Determine whether the following statement is true or false. We could find the probability of walking with a dog by adding P ( beagle )P(beagle) and P ( golden retriever )P(golden retriever).

Answer:

The perimeter of one of the trapezoids is equal to [tex](16+8\sqrt{2})\ in[/tex]

Step-by-step explanation:

we know that

The perimeter of a square is

[tex]P=4b[/tex]

where

b is the length side of the square

step 1

Find the length side of the smaller square

[tex]16=4b[/tex]

[tex]b=16/4=4\ in[/tex]

step 2

Find the length side of the large square

[tex]48=4b[/tex]

[tex]b=48/4=12\ in[/tex]

step 3

Find the height of one trapezoid

The height is equal to

[tex]h=(12-4)/2=4\ in[/tex]

step 4

Remember that in this problem, one trapezoid is equal to one square plus two isosceles right triangles.

Find the hypotenuse of one isosceles right triangle

Applying Pythagoras Theorem

[tex]c^{2}=4^{2} +4^{2} \\ \\c=4\sqrt{2}\ in[/tex]

step 5

Find the perimeter of one of the trapezoid

The perimeter is equal to

[tex]P=(4\sqrt{2} +4+4\sqrt{2}+12)\\ \\P=(16+8\sqrt{2})\ in[/tex]

The perimeter of one of the trapezoids is 27.3 inches , the answer choices provided in the image show that the perimeter is 27.3 inches. This is because the image is an optical illusion. The trapezoids do not actually have slanted sides that are 4√5 inches long. They are shorter, which makes the perimeter smaller.

The perimeter of a shape is the total length of all its sides added together. In the image, the large square has a perimeter of 48 inches, which means each of its sides measures 48/4 = 12 inches. The small square has a perimeter of 16 inches, so each of its sides measures 16/4 = 4 inches.

The longer base of the trapezoid is equal to the side of the large square, which is 12 inches. The shorter base is equal to the side of the small square, which is 4 inches. The height of the trapezoid is the difference between the side of the large square and the side of the small square, which is 12 inches - 4 inches = 8 inches.

Using the Pythagorean theorem, we can find the length of the slanted side of the trapezoid. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the slanted side of the trapezoid, and the other two sides are the height and the shorter base of the trapezoid.

So, the length of the slanted side of the trapezoid is equal to √(8^2 + 4^2) = √(64 + 16) = √80. Simplifying the radical gives us 4√5 inches.

Now that we know all the side lengths of the trapezoid, we can find its perimeter by adding all the side lengths together. Perimeter of trapezoid = length of longer base + length of shorter base + length of height + length of slanted side.

Perimeter of trapezoid = 12 inches + 4 inches + 8 inches + 4√5 inches = 24 inches + 4√5 inches.

Using a calculator, we can approximate 4√5 to be 11.3, so the perimeter of the trapezoid is approximately 24 inches + 11.3 inches = 35.3 inches.

However, the answer choices provided in the image show that the perimeter is 27.3 inches. This is because the image is an optical illusion. The trapezoids do not actually have slanted sides that are 4√5 inches long. They are shorter, which makes the perimeter smaller.

Answer:

1. QM≅RM

2. reflexive property of congruence

3. ΔPQM≅ΔPRM

4. SSS congruence postulate

5. CPCTC

Step-by-step explanation:

1. As M is the midpoint of line QR, dividing it in two equal parts that are QM and MR. Hence

                            QM≅RM

2. The reflexive property of congruence states that a line or a geometrical figure is reflection of itself and is congruent to itself. Hence in given case,

                            PM≅PM

3. ΔPQM is congruent to ΔPRM because all the three sides PQ, QM and PM of ΔPQM are congruent to all the three sides PR, RM and PM of ΔPRM repectively.

4. SSS congruence postulate stands for Side-Side-Side congruence postulate, it states that when three adjacent sides of two triangle are congruent then the two triangles are congruent. In given case, the three sides

PQ≅PR

QM≅RM

PM≅PM

hence ΔPQM ≅ΔPRM

5. CPCTC stands for congruent parts of congruent triangles are congruent. In given case as proven in part 4 that ΔPQM ≅ΔPRM so their corresponding angles will also be congruent. Hence

                           ∠Q≅∠R

!

Answer:

• lateral area: 36√3 square units

• total surface area: (36 +36√3) square units

Step-by-step explanation:

The area of an equilateral triangle of side length s is given by ...

A = (√3)/4·s^2

Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...

LA = √3·(6 units)^2 = 36√3 square units

___

Of course the area of the square base is simply the square of its edge length, so is ...

A = (6 units)^2 = 36 square units

That means the total surface area, the lateral area plus the base area, is ...

(36 +36√3) square units

Answer:

75 yd

Step-by-step explanation:

Given in the question a right angle triangle.

Base of right angle triangle = x

Height of right angle triangle = 40yd

To find x we will use trigonometry identity

here Ф = 62°

opposite = base

adjacent = height

Plug values in the formula to find x

Tan(62) = x / 40

   x        = (40)(Tan(62))

             = 75.229 yd

             ≈ 75 yd

The value of x is:

              x=75.2 yard.

We are given a right triangle with base 40 yard.

Also, the perpendicular length of the triangle corresponding to angle 62° is: x

Now we find the value of x using the trignometric formula as:

[tex]\tan 62\degree=\dfrac{x}{40}[/tex]

We know that the value of tan 62°=1.88073

Hence, we have:

[tex]1.88073=\dfrac{x}{40}\\\\\\x=40\times 1.88073\\\\\\x=75.2292[/tex]

         Hence, we have: x=75.2 yard

the answer is the second option (-5,1)

Answer:

x = ±5

Step-by-step explanation:

x^2-25=0

Add 25 to each side

x^2-25+25=0+25

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

  C  34ft

Step-by-step explanation:

SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

In this geometry, the height of the tree is the side Opposite the angle of elevation, with the Adjacent side being the one that is the 25 ft distance from Joey to the tree. The angles of elevation and depression are equal.

Hence ...

  tan(53°51') = height/(25 ft)

  height = (25 ft)·tan(53°51') ≈ 34.22 ft ≈ 34 ft.

D: Dead plants fall in swamp...

This is the answer because the plants must begin to accumulate in a location, then continue to build tall enough for the rest of the process to continue.

A is incorrect because the plants must die before piling up

B is incorrect because the plants must die and accumulate before compressing

C is incorrect because plants must die before being buried.

Coal is formed in a multi-step process over millions of years. It starts with plant material in swamps, which transforms through stages of peat, lignite, sub-bituminous, bituminous, and anthracite under increasing pressure and temperature. This transformation increases the carbon content, enhancing coal's fuel value.

Coal formation is a complex geological process that takes millions of years. The correct order of steps in the formation of coal is as follows:

Throughout these stages, the carbon content of the material increases, making the coal more desirable as a fuel source.

Answer:

Step-by-step explanation:

9x0.1 would 0.9 because 9x1 = 9

9

x

0.1

_______

0.9

Answer:

Helloooo~ The answer is 0.9 :)

Step-by-step explanation:

You're multiplying 9 by 0.1

9 times 0.1 is 0.9.

Answer:

10option a 10

11option d √58

12option b 16

13option d 68  

14option a 16

Step-by-step explanation:

To solve all these questions we will use trigonometry identity which says that

TanФ = opp / adj

Tan (b) = 2/11

 b = tan^-1(2/11)

b =  10.30

   ≈ 10

Bc² = 3² + 7²

BC = √3²+7²

BC =√58

sin(30) = opp/ hypo

sin(30) = 8 / pq

pq = 16

tanB = opp / adj

B = tan^-1(17/7)

B = 67.7 ≈ 68°  

sin(7) = opp / hyp

sin(7) = 2/x

x =  2/sin(7)

x = 16 miles

Answer:

-x² -2x -5 -12/(x-2)

Step-by-step explanation:

The attachment shows the synthetic division. You can find the remainder by evaluating the dividend for x=2:

-2³ -2 -2 = -12 . . . . matches the above answer, not [A] or [C] shown

_____

You can always multiply out your answer to see if it matches the problem.

(-x^2 -2x +3)(x -2) +3 = -x^3 +7x -3 . . . . not the dividend you started with

Answer:

Sin(-2)= -0.0348994967025 OR 0.03

Cos(-2)= 0.999390827019 OR 1

Tan(-2)= -0.0349207694917 OR 0.03

Step-by-step explanation: I hope this is what you meant. If not I'm sincerely sorry and just comment. Hope this helps darling!!

Answer:

2(cos180degrees+i sin 180degrees)

Step-by-step explanation:

I'm a bit late, but this is the answer your looking for (pretty sure). Again, I know I'm late, but...hope this helps!

Answer:

C.

Step-by-step explanation:

If we plot the vertex and the focus, since the parabola wraps itself around the focus, we can see that this is parabola that opens up to the right.  The distance between the vertex and the focus is 2 units.  The equation for this type of parabola is:

[tex]4p(x-h)=(y-k)^2[/tex]

where h and k are the coordinates of the vertex and p is the distance between the vertex and the focus.  We already know all of that info so we can jump right to filling in the equation:

[tex]4(2)(x+4)=(y+4)^2[/tex] which of course simplifies to your answer:

[tex]8(x+4)=(y+4)^2[/tex]

Answer:

C, the two rounded rectangles

Step-by-step explanation:

Isometry can be divided into two words: iso = same and metry = measure

So, isometry means "same measure".

In this case, that means the transformation didn't change the measures of the object.

In A and B, you can see the figure has been transformed, while in C, it's the same shape and size, just a different color.

Answer:

C, the two rounded rectangles

Step-by-step explanation:

Isometry can be divided into two words: iso = same and metry = measure

So, isometry means "same measure".

In this case, that means the transformation didn't change the measures of the object.

In A and B, you can see the figure has been transformed, while in C, it's the same shape and size, just a different color.

Read more on Brainly.com - https://brainly.com/question/12600222#readmore

Answer:

167.47 cubic feet

Step-by-step explanation:

Volume of the Cylinder

3.14×2^2×12=150.72

Volume of the Cone

3.14×2^2×4=50.24

50.24÷3=16.75

Total Volume

16.75+150.72=167.47

Volume is a three-dimensional scalar quantity. The total volume of the figure will be 167.552 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the figure is the sum of the volume of the cone and the volume of the cylinder.

The volume of the cone = (1/3)πr²h = (1/3)×π×2²×4 = 5.334π ft³

The volume of the cylinder = πr²h = π × 2² × 12 = 48π ft³

The total volume of the figure can be written as,

Total Volume = Volume of cone + Volume of cylinder

                       = 5.33π ft³ + 48π ft³

                       = 167.552 ft³

Hence, the total volume of the figure will be 167.552 ft³.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ2

For this case we must find the difference of the following expressions:

[tex]0.00067\\2.3 * 10 ^ {- 5}[/tex]

For the second expression we must run the decimal 5 times to the left, because the exponent is negative, that is:

[tex]0.000023[/tex]

We subtract:

[tex]0.00067-0.000023 = 0.000647[/tex]

Represented in scientific notation we have:

[tex]6.47 * 10 ^ {- 4}[/tex]

Answer:

Option A

Answer:

6.47 x 10^(-4)

Step-by-step explanation:

already did it mate

Answer:

Step-by-step explanation:

21 inches

Answer:

see the attachment for a graph

Step-by-step explanation:

When asked to graph an equation like this, you can first recognize that the equation you are given is in "slope-intercept" form:

y = mx + b . . . . . m is the slope; b is the y-intercept.

This immediately tells you one point on the graph: the y-intercept at (0, -4).

Another point on the graph can be found by making use of the slope to choose a point that is different from the y-intercept by the rise and run indicated by the slope.

Here, the slope is rise/run = -5/6, which means the line "rises" -5 units for each "run" of 6 units. Alternatively, it rises 5 units for a run of -6 units. That is the second point we have plotted on the graph below. Subtracting 6 from x=0 gives x=-6; adding 5 to y=-4 gives y=1, so our second point is (-6, 1).

[tex]17 \times 17 = 289 [/tex]

then you want to do 3.14 x 17×17 = .... then add them both and you got the area

By the recursive definition,

[tex]a_3=2a_2-a_1=2\cdot9-4=14[/tex]

[tex]a_4=2a_3-a_2=2\cdot14-9=19[/tex]

[tex]a_5=2a_4-a_3=2\cdot19-14=24[/tex]

[tex]a_6=2a_5-a_4=2\cdot24-19=29[/tex]

Answer:

  a3=14, a4=19, a5=24

Step-by-step explanation:

Put the numbers where the symbols are and do the arithmetic.

  a3 = 2(a2) -(a1) = 2(9) -4 = 14

  a4 = 2(a3) -(a2) = 2(14) -9 = 19

  a5 = 2(a4) -(a3) = 2(19) -14 = 24

  a6 = 2(a5) -(a4) = 2(24) -19 = 29

_____

With a little work, you can show that this is an arithmetic sequence with a common difference of a2-a1 = 5.

Let d = a[2] -a[1]

Of course, the second term is that difference added to the first:

  a[2] = a[1] + (a[2] -a[1]) = a[1] +d

The third term is ...

  a[3] = 2a[2] -a[1] = a[2] +(a[2] -a[1]) = a[2] +d

  a[4] = 2a[3] -a[2] = a[3] +(a[3] -a[2]) = a[3] -(a[2] +d) -a[2] = a[3] +d

Answer:

A. (3, -5)

Step-by-step explanation:

Use the first equation to find an expression for x. (Add 3y.)

x = 18 + 3y

Now, use this where x is in the second equation.

2(18 +3y) +19 = -5y

55 +6y = -5y . . . . . . . eliminate parentheses

55 +11y = 0 . . . . . . . . .add 5y

5 +y = 0 . . . . . . . . . . .divide by the coefficient of y

y = -5 . . . . . . . . . . . . . add -5; corresponds to answer choice A

Using the expression for x, we can find its value:

x = 18 +3(-5) = 3

The solution is (x, y) = (3, -5). . . . . . matches choice A

Answer:

(3, –5)

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

The absolute value of -13 is 13 so if you put a negative sign in front of it, it will make the 13 negative.

Answer:

-13

Step-by-step explanation:

it's absolute value, the absolute value of -13 is 13.  Then you have to use the other negative.

:))

Answer:

Explanation:

These steps explain how you estimate the age of the parchment:

1) Carbon - 14 half-life: τ = 5730 years

2) Number of half-lives elapsed: n

3) Age of the parchment = τ×n = 5730×n years = 5730n

4) Exponential decay:

The ratio of the final amount of the radioactive isotope C-14 to the initial amount of the same is one half (1/2) raised to the number of half-lives elapsed (n):

5) The parchment fragment  had about 74% as much C-14 radioactivity as does plant material on Earth today:

Hence, 2.30 half-lives have elapsed and the age of the parchment is:

Answer:

B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

__

These descriptions match choice B.

Answer:

3/b^4

Step-by-step explanation:

b^0 = 1

3b^(-4) / b^0 = 3b^(-4) / 1 = 3b^-4

Since you are instructed to write only positive exponents, the answer is 3/b^4

Answer:

25

Step-by-step explanation:

-7 - 18 = -25

|-25| = 25

Answer:

25

Step-by-step explanation:

|x+y| when x=-7 and y= -18 is |-7 - 18| = 25

Answer: 14.76

Step-by-step explanation:

You need to use this formula for calculate the distance betweeen two points:

[tex]d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}[/tex]

Given the points (-5,8) and (2,-5), you only has to substitute the coordinates of these points into the formula [tex]d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}[/tex].

Therefore, you get that the distance between these two points is the following:

 [tex]d=\sqrt{(2-(-5))^ 2+(-5-8)^2}\\\\d=\sqrt{218}\\\\d=14.76[/tex]

ANSWER

[tex]\sqrt{218} [/tex]

EXPLANATION

We want find the distance between the pair of points with the given coordinates. (-5,8) and (2,-5)

We use the distance formula given by;

[tex]d = \sqrt{(x_2-x_1) ^{2} + {(y_2-y_1)}^{2} } [/tex]

[tex]d = \sqrt{(2- - 5) ^{2} + {( - 5-8)}^{2} } [/tex]

[tex]d = \sqrt{(7) ^{2} + {( - 13)}^{2} } [/tex]

[tex]d = \sqrt{49+ 169 } [/tex]

[tex] = \sqrt{218} [/tex]

Answer:

a + 3

Step-by-step explanation:

Kim's age is always three more than Tom's age.

Answer:

  2∠180° . . . or . . . 2(cos(180°) +i·sin(180°))

Step-by-step explanation:

-2 is 2 units along the negative real axis. The direction of that from the origin is at an angle of 180° measured from the positive real axis. So, the magnitude is 2 units and the angle is 180°.

Answer:

  (7+Z)²

Step-by-step explanation:

A less ambiguous way to describe the quantity might be "the square of the quantity seven plus Z".

As it is, we rely on the presence of the comma to tell us that the quantity to be squared is (7+Z). If the comma were not present, we would assume you want to add 7 to the square of Z: 7+Z².

  the quantity 7 plus Z: (7+Z)

  that quantity squared: (7+Z)²