solve and simplify using the square root property x2-8=11

Answer:

1/3 0r 33%

Step-by-step explanation:

P(roll greater than 4) is 1/3.

If we take the ratio of number of favourable outcomes to the number of all possible outcomes of an event, then this ratio is called probability.

We roll a fair 6 sided die.

All the possible outcomes are (S) = {1, 2, 3, 4, 5, 6}

Number of all possible outcomes = n(S) = 6

Numbers greater than 4 are {5, 6}

So, n(roll greater than 4) = 2

∴ P(roll greater than 4) = n(roll greater than 4)/n(S)

                                        = 2/6 = 1/3

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Answer:

Step-by-step explanation:

The formulas for the areas of a rectangle and a parallelogram are actually the same; both involve length and width.  

It may be easier to understand this if you draw a rectangle of width w with a drawing of a parallelogram of width underneath.  The parallelogram's ends appear slanted; they are neither vertical nor horizontal.  However, so long as you measure the length of the rectangle horizontally, all measurements are equal to each other as well as equal to the length of the rectangle.

Hence the calculated areas will be one and the same.

Area formula of a rectangle to find the area formula of parallelogram, the length of the rectangle should be used as the height of the parallelogram.

Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, [tex]a[/tex] is the length rectangle and [tex]b[/tex] is the width of the rectangle.

Given information-

The area formula of parallelogram has to find using the area formula of rectangle.

Parallelogram is a closed shaped quadrilateral polygon in which opposite sides is equal and parallel and opposite angles are equal.

The shape of the parallelogram is attached below.

The area of the rectangle is the base time height. It can be given as,

[tex]A_r=l\times h[/tex]

In case of a parallelogram the height of the parallelogram is not equal to the side of it.

The area of the parallelogram is still given as the area of rectangle which is base time height, with new height.

Thus for the attached figure of parallelogram the area of it can be given as,

[tex]A_p=l\times h[/tex]

Hence, The area formula of a rectangle to find the area formula of a parallelogram, the length of the rectangle should be used as the height of the parallelogram.

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Answer: OPTION C

Step-by-step explanation:

To solve the exercise you must descompose the number 648 into its prime factors, as you can see below:

[tex]648=2*2*2*3*3*3*3[/tex]

You can rewrite the above as following:

[tex]648=2^3*3^4[/tex]

Then:

[tex]\sqrt{648}=\sqrt{2^3*3^4}[/tex]

Therefore, as you can see, the value of  a and b are the following:

[tex]a=3,b=4[/tex]

Answer:

The correct answer option is C. a=3, b=4.

Step-by-step explanation:

We are given the following expression and we need to determine whether which of the values of [tex]a[/tex] and [tex]b[/tex] should be used to make the equation true:

[tex] \sqrt { 648 } = \sqrt { 2 ^ a \times 3 ^ b } [/tex]

A. a=3, b=2:

[tex] \sqrt { 2 ^ 3 \times 3 ^ 2 } = \sqrt { 72 } [/tex]

B.  a=2, b=3:

[tex] \sqrt { 2 ^ 2 \times 3 ^ 3 } = \sqrt { 108 } [/tex]

C. a=3, b=4 :

[tex] \sqrt { 2 ^ 3 \times 3 ^ 4 } = \sqrt { 648 } [/tex]

D. a=4, b=3:

[tex] \sqrt { 2 ^ 4 \times 3 ^ 3 } = \sqrt { 432 } [/tex]

Therefore, the correct answer option is C. a=3, b=4.

Answer:

Part 7) Option C. The approximate perimeter of the patio is [tex]54\ ft[/tex]

Part 8) Option G. [tex]3\ floats[/tex]

Part 9) [tex]150.72\ minutes[/tex]

Step-by-step explanation:

Part 7) we know that

The perimeter of the figure is equal to the circumference of the larger half circle plus the circumference of the smaller half circle plus two times the length of 8 ft

step 1

Find the circumference of the larger half circle

The circumference of the larger half circle is

[tex]C=\pi r[/tex]

we have

[tex]r=8+2=10\ ft[/tex]

substitute

[tex]C=\pi(10)[/tex]

[tex]C=10\pi\ ft[/tex]

step 2

Find the circumference of the smaller half circle

The circumference of the smaller half circle is

[tex]C=\pi r[/tex]

we have

[tex]r=2\ ft[/tex]

substitute

[tex]C=\pi(2)[/tex]

[tex]C=2\pi\ ft[/tex]

step 3

Find the perimeter of the figure

[tex]10\pi\ ft+2\pi\ ft+2(8)\ ft=(12\pi+16)\ ft[/tex]

assume [tex]\pi=3.14[/tex]

so

[tex](12(3.14)+16)=53.68=54\ ft[/tex]

Part 8) we know tat

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]A=28.26\ ft^{2}[/tex]

assume [tex]\pi=3.14[/tex]

substitute the values and solve for r

[tex]28.26=(3.14)r^{2}[/tex]

[tex]r^{2}=28.26/(3.14)[/tex]

[tex]r^{2}=9[/tex]

[tex]r=3\ ft[/tex]

Find the diameter D

[tex]D=2r=2(3)=6\ ft[/tex]

Divide the width of the pool by the diameter of the floats

so

[tex]\frac{18}{6}=3\ floats[/tex]

Part 9)

step 1

Find the circumference of one coaster

The circumference of circle is

[tex]C=2\pi r[/tex]

we have

[tex]r=1.5\ in[/tex]

assume [tex]\pi=3.14[/tex]

substitute

[tex]C=2(3.14)(1.5)=9.42\ in[/tex]

step 2

Find the circumference of 48 coasters

so

[tex]48(9.42)=452.16\ in[/tex]

step 3

we know that

The laser cut woods at the rate of 3 inches per minute

By proportion find how many minutes will it take to cut out 48 coasters

[tex]\frac{3}{1}\frac{inches}{minute} =\frac{452.16}{x}\frac{inches}{minutes}\\ \\x=452.16/3\\ \\x=150.72\ minutes[/tex]

Answer:

x = 10

Step-by-step explanation:

We are given a diagram with lines AB and CD intersected by a line EH.

Given that the lines AB and CD are parallel, we are to find the value of x.

Since the lines are parallel so the angles are interior alternate angles and are equal to each other.

Therefore, we can write it as:

[tex] ( 3 x + 15 ) = ( 5 x - 5 )  [/tex]

[tex] 5 x - 3 x = 15 + 5 [/tex]

[tex] 2 x = 20 [/tex]

[tex] x = \frac { 20 } { 2 } [/tex]

x = 10

Answer:

The value of x = 10

Step-by-step explanation:

From the figure we can see that, AB║CD

And HE is a traversal. Two angles are given. These angles area alternate interior angles which are equal

To find the value of x

Two alternate interior angles are

(3x + 15)° and (5x - 5)°

(3x + 15) = (5x - 5)

5x - 3x 15 + 5

2x = 20

x = 20/2 = 10

Therefore the value of x = 10

Answer:

When x=20, y =9.

Step-by-step explanation:

Rewrite the equation into slope-intercept form.

4y=-4+2x

Divide by 4 to isolate y

y=-1+(2/4)x

y=(1/2)x -1

Then plug in 20 for x.

y=(1/2)(20)-1

y=10-1

y=9

Answer:

[tex]m\angle BAD=73^o[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the value of x

Let

O ----> the center of the circle

we know that

Triangle BOC≅Triangle COD

[tex]m\angle BOC=arc\ BC[/tex] ----> by central angle

[tex]m\angle COD=arc\ CD[/tex] ----> by central angle

[tex]m\angle BOC=m\angle COD[/tex]

therefore

[tex]arc\ BC=arc\ CD[/tex]

substitute the given values

[tex](9x-53)^o=(2x+45)^o[/tex]

solve for x

[tex]9x-2x=45+53\\7x=98\\x=14[/tex]

step 2

Find the measure of angle BAD

we know that

The inscribed angle is half that of the arc it comprises.

so

[tex]m\angle BAD=\frac{1}{2} [arc\ BC+arc\ CD][/tex]

[tex]arc\ BC=9(14)-53=73^o[/tex]

[tex]arc\ CD=2(14)+45=73^o[/tex]

substitute

[tex]m\angle BAD=\frac{1}{2} [73^o+73^o]=73^o[/tex]

The measure of mBAD is 73⁰

Given the following expression

mBC = (9x-53) and mCD = (2x + 45)

From the given diagram, both arcs are equal, hence

9x - 53 = 2x +45

7x = 98

x = 14

Get the measure of arc BC

arcBC = 9x - 53

arcBC = 9(14)-53

arcBC = 73 degrees

The measure of mBAD = 1/2(73+73) = 73 degrees

Hence the measure of mBAD is 73⁰

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Answer: The answer is (3,0).

Step-by-step explanation: We know this because we have to move the positive 5, 2 to the left. Then we have to do the -5 up 5. After you do that you get (3,0). Hope this helps!

Point P is translated by 2 units to the left and 5 units to the upward direction. Then the coordinate of the point P' is (3, 0).

It simply means that the point is being shifted from [tex]\rm (x_1, y_1)[/tex] to [tex]\rm (x_2, y_2)[/tex] in a cartesian coordinate.

Given

The point P' is the image of point P (5,-5) under a translation by 2 units to the left and 5 units up.

Then the position of the point P' will be.

Point P is translated by 2  to the left is the negative x-axis. Then coordinate of point P will be

[tex](5 - 2, -5)\\\\(3, -5)[/tex]

Point P is translated by 5  to the upward is the positive y-axis. Then coordinate of point P will be

[tex](3, -5 + 5)\\\\(3, 0)[/tex]

Then, the coordinate of the point P' is (3, 0).

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Answer:

$321.75

Step-by-step explanation:

The total area of the carpet needed is 9(11) = 99 sq yards.  If costs $3.25 per yard, so we pay..

$3.25(99) = $321.75

Answer:

Step-by-step explanation:

Given :  -(3x+y)+2(x-4y).

To find : which expression is the simplest form .

Solution : We have given

 -(3x+y)+2(x-4y).

Remove parenthesis

-3x -y + 2x -8y .

Combine like terms

-3x + 2x -y - 8y .

-x -9y.

Answer:

Step-by-step explanation:

There are several words that might well fit this sentence:

"supplemental"

"entrepreneural"

"earned"

The answer is C. $15,600

The yearly pay for Leeann will be $15600. The correct option is C.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Leeann works 20 hours per week and makes $15 per hour. The yearly pay will be calculated as below:-

There are 52 weeks in a year then the total number of hours in a year will be:-

Total hours = 52 x 20 = 1040 hours

Yearly income = 1040 x 15 = $15600

Therefore, the yearly pay for Leeann will be $15600. The correct option is C.

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Answer:

the answer is a

Step-by-step explanation:

Answer:

Many expressions would satisfy this set. One example would be y = 7x + 2

Step-by-step explanation:

To find this, give x a random coefficient, for this purpose, we'll use 7.

y = 7x + c

Now plug in and solve to get the constant.

-33 = 7(-5) + c

-33 = -35 + c

2 = c

Now model the equation.

y = 7x + 2

Cross out out comes that should happen. The others are evidence based, the one you cross out was theory based

QUESTION 1

Recall the mnemonics; SOH

[tex]\sin L =\frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L =\frac{12}{13}[/tex]

QUESTION 2

Recall the mnemonics; CAH

[tex]\cos L =\frac{Adjacent}{Hypotenuse}[/tex]

[tex]\sin L =\frac{5}{13}[/tex]

QUESTION 3

Recall the mnemonics; TOA

[tex]\tan M =\frac{Opposite}{Adjacent}[/tex]

[tex]\tan M =\frac{5}{12}[/tex]

QUESTION 4

[tex]\sin M =\frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin M =\frac{5}{13}[/tex]

QUESTION 5

a) From the Pythagoras Theorem,

[tex]AC^2+AB^2=BC^2[/tex]

[tex]AC^2+4^2=5^2[/tex]

[tex]AC^2+16=25[/tex]

[tex]AC^2=25-16[/tex]

[tex]AC^2=9[/tex]

[tex]AC=\sqrt{9}[/tex]

[tex]AC=3yd[/tex]

b) Using the cosine ratio,

[tex]\cos (m\angle B)=\frac{4}{5}[/tex]

Take the inverse cosine of both sides;

[tex] m\angle B=\cos ^{-1}(\frac{4}{5})[/tex]

[tex] m\angle B=36.86[/tex]

[tex]\therefore m\angle B=36.9\degree[/tex] to the nearest tenth.

c) [tex]m\angle B +m\angle C=90\degree[/tex]

[tex]\Rightarrow 36.9\degree +m\angle C=90\degree[/tex]

[tex]\Rightarrow m\angle C=90\degree-36.9\degree[/tex]

[tex]\Rightarrow m\angle C=53.1\degree[/tex]

QUESTION 6

a)  using the sine ratio,

[tex]\sin(51\degree)=\frac{DE}{18}[/tex]

[tex]DE=18\sin(51\degree)[/tex]

[tex]DE=13.99[/tex]

[tex]\therefore DE=14.0yd[/tex] to the nearest tenth.

b) Using the cosine ratio,

[tex]\cos (51\degree)=\frac{EF}{18}[/tex]

[tex]EF=18\cos (51\degree)[/tex]

[tex]EF=11.3yd[/tex] to the nearest tenth.

c) [tex]m\angle D+ m\angle F=90\degree[/tex]

[tex]\Rightarrow m\angle D + 51\degree=90\degree[/tex]

[tex]\Rightarrow m\angle D=90\degree-51\degree[/tex]

[tex]\Rightarrow m\angle D=39\degree[/tex]

QUESTION 7

a) Using the Pythagoras Theorem;

[tex]lG^2+GH^2=lH^2[/tex]

[tex]l15^2+GH^2=17^2[/tex]

[tex]225+GH^2=289[/tex]

[tex]GH^2=289-225[/tex]

[tex]GH^2=64[/tex]

[tex]GH=\sqrt{64}[/tex]

[tex]GH=8km[/tex]

b) Using the sine ratio,

[tex]\sin(m\angle H)=\frac{15}{17}[/tex]

[tex]m\angle H=\sin^{-1}(\frac{15}{17})[/tex]

[tex]m\angle H=61.9\degree[/tex]

c) [tex]m\angle l + m\angle H=90\degree[/tex]

[tex]m\angle l +61.9\degree=90\degree[/tex]

[tex]m\angle l =90\degree-61.9\degree [/tex]

[tex]m\angle l =28.1\degree [/tex]

QUESTION 8

We plot the points as shown in the diagram.

QUESTION 9

From the diagram, the side lengths XY and YZ can be obtained by counting the boxes. Each box is 1 unit.

This implies that;

XY =3 units

YZ=5 units.

We use Pythagoras Theorem, to obtain XZ.

This implies that;

[tex]XZ^2=XY^2+YZ^2[/tex]

[tex]XZ^2=3^2+5^2[/tex]

[tex]XZ^2=9+25[/tex]

[tex]XZ^2=34[/tex]

[tex]XZ=\sqrt{34}[/tex] units

QUESTION 10.

a) Using the tangent ratio;

[tex]\tan(m\angle X)=\frac{5}{3}[/tex]

[tex]m\angle X=\tan^[-1}(\frac{5}{3})[/tex]

[tex]m\angle X=59.0\degree[/tex]

b) [tex]m\angle Z+m\angle X=90\degree[/tex]

[tex]m\angle Z+59.0\degree=90\degree[/tex]

[tex]m\angle Z=90\degree-59.0\degree[/tex]

[tex]m\angle Z=31.0\degree[/tex]

QUESTION 11

a) Triangle BCD is shown in the attachment.

The length of side DC=|3-2|=1 unit

The length of side DB=|4-3|=1 unit

Using Pythagoras Theorem;

[tex]BC^2=DC^2+DB^2[/tex]

[tex]BC^2=1^2+1^2[/tex]

[tex]BC^2=1+1[/tex]

[tex]BC^2=2[/tex]

[tex]BC=\sqrt{2}[/tex]

b) DB is perpendicular to DC, therefore m<D=90 degrees.

The length of DB is equal the length of DC.

This implies that;

m<C=m<B=45 degrees.

QUESTION 12

[tex]\sin 30\degree=\frac{1}{2}[/tex]

QUESTION 13

[tex]\cos 30\degree=\frac{\sqrt{3} }{2}[/tex]

QUESTION 14

[tex]\tan 30\degree =\frac{\sqrt{3} }{3}[/tex]

QUESTION 15

[tex]\tan 45\degree =1[/tex]

QUESTION 16

[tex]\cos 45\degree =\frac{\sqrt{2} }{2}[/tex]

QUESTION 17

[tex]\tan 45\degree =1[/tex]

Answer:

B and D

Step-by-step explanation:

A difference of squares has the form a² - b²

4p² - 9 = (2p)² - 3² ← is a difference of squares

q² - 36 = q² - 6² ← is a difference of squares

Answer:

answer:

4p²-9 and q²-36 as it is in the form of x²-y²

Answer:

The rule or the sequence is : an = -3n - 1

Step-by-step explanation:

* Lets look to the terms of the sequence

 -4 , -7 , -10 , -13

- The difference between each two consecutive terms is:

 -7 - -4 = -3 , -10 - -7 = -3 . -13 - -10 = -3

∴ It is an arithmetic sequence

* because we add a constant value to each term to find the second term

- That means a1 = a , a2 = a + d , a3 = a + 2d , ............

* The rule of any term of the arithmetic sequence is;

- an = a + (n - 1) d , where a is the first term , d is the constant

 difference and n is the position of the number in the sequence

∵ a = -4 and d = -3

∴ The rule of any term in this sequence is:

* an = -4 + (n - 1)(-3)

* Lets simplify the formula

∴ an = -4 + -3n + 3

∴ an = -3n - 1

* The rule or the sequence is : an = -3n - 1

Answer:

its B on edge 2020

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

Solve the equation using inverse operations.

5 = 1/5x - 3          Add 3 to both sides

8 = 1/5x               Multiply by 5 on both sides

40 = x

Divide the cost to get into the park by the amount you make per day:

46.75 / 4.75 = 9.84

Round up to 10 days.

The answer is B. 10

Answer:

(-1, 5)

Step-by-step explanation:

First, you move it to the right of y-axis from -4 to -1

Then, you move it to the down of x-axis from 8 to 5

so the answer was (-1, 5).

Answer: -9,-1

Step-by-step explanation:

Subtract 5 from x coordinate

Subtract 3 from y coordinate

Answer:

∠1

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠1 is an exterior angle and ∠' s 2 and 3 are the opposite interior angles.

Hence

∠2 + ∠3 = ∠1

The measure of angle 1 is equal to the sum of the measures of angles 2 and 3.

The sum of the measures of angles 2 and 3 is equal to the measure of exterior angle B, which is angle 1.

This relationship is described by the exterior angle theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

So, we have:

[tex]\[ \text{Angle 1} = \text{Angle 2} + \text{Angle 3} \][/tex]

Therefore, the measure of angle 1 is equal to the sum of the measures of angles 2 and 3.

The probable question may be:

In the given figure, the sum of the measures of angles 2 and 3 is equal to the measure of which angle?

I can't see it you have to put it closer to the screen it is scratchy

Answer:

Step-by-step explanation:

4

Answer:

Answer is B on e2020. (4)

Step-by-step explanation:

Answer: The required value of x is 12 units.

Step-by-step explanation:  Given that the figure A is a scale image of figure B.

We are to find the value of x.

Since figure A is the scale image of figure B, so both the figures are similar to each other.

Also, the corresponding sides of the similar figures are proportional, so we get

[tex]\dfrac{30}{25}=\dfrac{x}{10}\\\\\\\Rightarrow\dfrac{6}{5}=\dfrac{x}{10}\\\\\\\Rightarrow x=5x=60\\\\\Rightarrow x=\dfrac{60}{5}\\\\\Rightarrow x=12.[/tex]

Thus, the required value of x is 12 units.

Answer:

x=12 units

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

She will have 0.09 lbs of GORP left over.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total of 19.5 lbs of GORP

She needs to divide them into 2.75 lb

So,

=19.5/2.75

=7.09

Here, 0.09 means She will have 0.09 lbs of GORP left over.

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Answer:

Finding the mean from the line plot is a matter of finding the average. My rationale for my answer is written below:

Step-by-step explanation:

1.) Add all numbers together - 0+1+2... = 136

2.) Divide by the amount of numbers given - 136/17 = 8.

3.) 8 is your final answer.

Answer:

The answer is 8.5

Step-by-step explanation:

first you add up all the numbers which is 136 then divide it by how many numbers you have which is 16. 136/16= which is 8.5

PLS MARK BRAINLIEST

Answer:

B. (4,12)

Step-by-step explanation:

The process is really easy, all you have to do is substitute the numbers of the ordered pairs into the equations.

So like for A. (-5,8)

Putting this into the equation would look like this,

10 * -5 + 2 * 8 The -5 being substituted for the x and the 8 for the y.

This equation equals to -34, not 64.

3 * -5 - 4 * 8 = -47

not equal to -36, so A is eliminated.

For B. (4,12)

10 * 4 + 2 * 12 = 64

3* 4 - 4 * 12 = -36

These equal to both of the given equations.

For C. (2, 10)

10 * 2 + 2 * 10= 40

3 * 2 - 4 * 10 = -34

These are not equal to the given answers of these equations, C is eliminated.

And D. (-3,11)

10 * -3 + 2 * 11 = -8

3 * -3 - 4 * 11 = -53

These are not equal to the given answers of these equations, D is eliminated.

So the only pair that have made both equations true is B.(4,12)