Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=

Answer:

(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

 (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

 (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

 (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

 A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)

Answer:

b because it is

Step-by-step explanation:

153.2 is a cool number

Answer:

6.228

Step-by-step explanation:

Answer:

66 inches

Step-by-step explanation:

perimeter = 2(l+b)

here, perimeter is 50 and length is 17

let the width be x,

=>    50 = 2(17+x)

=>    50 = (2*17)+(2*x)

=>    50 = 34 + 2x

=>    50 - 34 = 2x                      [transposing method]

=>    16 = 2x

=>    16/2 = x

=>     8 = x

8 inches = width of the first triangle

we know, the other rectangle's length is 17

and it is said that the width is twice the width of the first triangle

so the length = 17, width = 2*8 = 16

for the perimeter

p = 2(l+b),

=>       p =  2(17+16)

=>       p =  (2*17)+(2*16)

=>       p =   34+32

=>       p  =   66

          so the perimeter of the other rectangle is 66

Answer:

66

Step-by-step explanation:

that answer was incorrect. change your answer and try again!

The correct options are:

The probability you select a purple marble is 3/10

P(Red) + P(Yellow) + P(Purple) = 1

The probability you select a green marble is 0.

Probability calculates the chance that an event would happen. If it is certain that the event would not happen, it would have a value of 0. If it is certain that the event would happen, it would have a value of 1.

Probability of picking a red marble = total number of red marbles / total number of marbles

= 4/10

Probability of picking a purple marble =  total number of purple marbles / total number of marbles

3/10

P(Red) + P(Yellow) + P(Purple) = 4/10 + 3/10 + 3/10 = 1

Here is the complete question:

A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.

Which statements are true regarding the scenario? Check all that apply.

The probability you select a red marble is 3/10

The probability you select a purple marble is 3/10

P(Red) + P(Yellow) + P(Purple) = 1

The probability you select a green marble is 0.

The probability you select a yellow marble is 3.

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Answer:

b,c,d on edge

Step-by-step explanation:

trust

The number of unique random numbers that need to be selected from the table of random digits will be A. 3.

It should be noted that a random number simply means a number that occurs when it is impossible to predict it.

From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.

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Answer:

m = 60

Step-by-step explanation:

log is another way to write an exponent.

Example:

exponent form:

7^2 = 49

log form:

log_7 (49) = 2



In your question, we need to change to exponent form, from log form.

log_5 (2m+5)=3

5 is the base. 3 is the exponent.

Now it can be solved.

5^3 = 2m+5

125 = 2m + 5

120 = 2m

60 = m

Step-by-step explanation:

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

Hence the answer is 61....

Answer:

16

Step-by-step explanation:

50-50 chance for each

2x2x2x2=16

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

⇒Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.

The product of the force and displacement.

WD = F × d × cos θ

A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°.

Then the amount of work done if the traveler moves 120 meters will be

WD = 30 × 120 × cos 40°

WD = 30 × 120 × 0.766

WD = 2758 Nm

Then the correct option is B.

A cart weighing 180 pounds rests on an incline at an angle of 35°.

The required force to keep the cart at rest will be

Fₓ = F × cos θ

Fₓ = 180 × cos 35°

Fₓ = 147.447 pounds

Then the correct option is C.

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Answer:

if this is 4.88/16 then the answer is 0.305.

Answer: 36

Step-by-step explanation:

If there are 30 new crayons, all you have to do is subtract the 24 new crayons Angie added, thus being six new crayons. Multiply this by 6 to get 36.

Answer:

C (Square)

Step-by-step explanation:

Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.

Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.

Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.

The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on

It is to be noted that a general answer was provided here due to insufficient details in the question.

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The height of the triangular pyramid will be equal to H=12 feet.

A triangular pyramid is a pyramid having triangular faces the other sides of the pyramid are simliar triangles.

It is given that:-

The Volume of the pyramid=80 cubic meters

The Base area of the pyramid=20 square meters

The height of the pyramid=?

We know that the volume of a pyramid is given as:-

V=(1÷3)x Base area x height

V=(1÷3)x20 x H

H=(80x30)÷20

H=12 feet

Hence the height of the triangular pyramid will be equal to H=12 feet.

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The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.

Then we can frame an equation to find the value of x:

[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]

x = 15 minutes (reciprocal on both sides)

Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

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Answer:

Jimmy is correct

Step-by-step explanation:

The dimensions of the rhombus and square are probably almost the same

Answers:

P(A) = 1/6

P(B) = 5/6

=========================================================

Explanation:

Let's calculate P(A).

Refer to the dice chart below.

We have

There are 3+2+1 = 6 sums that are greater than 9.

This is out of 6*6 = 36 sums total

P(A) = 6/36 = (1*6)/(6*6) = 1/6

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

Now to calculate P(B).

The multiples of 6 in the table are: 6, 12

There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6

P(B) = 30/36 = (5*6)/(6*6) = 5/6

Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.

Answer:

The answer is D I hope this helps

The required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

Given that,
A graph of a function is shown that has 3 distinct functions for its domain, we have to determine which of these 3 functions shows an exponential function.

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Since, as we can see throughout the graph the graph constantly decreases to -4 and then shows a parabolic function from -4 to 0.9 afterward it starts increasing exponentially.

Thus, the required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

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The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

We are given the volume of the sphere as 144π cubic units.

From the attached file, we see that the radius of the sphere is 6.

Formula for Volume of a Sphere is;

V = ⁴/₃πr³

Thus;

V = ⁴/₃π * 6³

V = 288π cubic units

Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

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Answer:

I would be a right angle or 90°

Explanation:

If a square is cut out of the paper, every corner of a square is a right angle, so there's your answer.

hope i helped :)

Answer:

1/3 is the same as 0.33...(The decimal continues on from here.)

Answer:The distance is 10.8

Step-by-step explanation:

Answer:

First Figure:

Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.

E.) x° = 90° - 68°  -----> x° = 22°

Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.

H.) y° = 180° - 90° - 22°  ----->  y° = 68°

Second Figure:

A similar process can be taken for the second figure.

T.) x° = 180° - 90° - 74°  ----->  x° = 16°

E.) y = 90° - 50°  ----->  y° = 40°

Third Figure:

Again, remember that right triangles = 90° and lines = 180°.

C.) w° = 180° - 90° - 31°  ----->  w° = 59°

R.) x° = 90° - 28°  -----> x° = 62°

H.) y° = 180° - w°  ----->  y° = 180° - 59°  ----->  y° = 121°

The series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is C. reflection, translation.

It should be noted that transformation simply means the movement of object in a coordinate plane.

The common type of transformation in mathematics include translation, rotation, reflection, and dilation.

Here, the series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is reflection, and translation. Reflection is flipping the pre image and producing the mirror image while translation is movement of the pre image

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Answer:

A

Step-by-step explanation:

Answer:

21.

Step-by-step explanation:

Angles subtended by the same arc on the circumference of the circle are congruent, so:

2x = 42

x = 21.

Answer:

3.5 inches by 4 inches

Step-by-step explanation: