What is essential to remember when simplifying a cube root compared to a square
root?

Answers

Answer 1

Answer:

The cube root of a number x is the length of the side of a cube whose volume is x cubic units.

The square root of a number x is the length of the side of a square whose area is x square units.

Hence the words ‘cube’ and ‘square’.

Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square


Related Questions

Which expression is equal to the expression below?
(2x6)^4

Answers

Answer:

2^4 x 6^4

Step-by-step explanation:

solve for the measure of c pt 2 (18pts)

Answers

Answer:

d: 20

Step-by-step explanation:

alternative angle

That answer is incorrect.

Since this triangle starts at the exact centre of the circle, both of the “arms” are radii of the circle (and therefore the same length), making this an isosceles triangle (two equal sides). In isosceles triangles the angles UNDER those two sides are also identical (therefore 20 degrees in this case). The final angle must add with those two 20’s to a total of 180 degrees. Two 20 degree angles = 40, so c must equal 140 degrees. B is 40. E and d are 20.

What is one possible perimeter of the garden, in meters?

Answers

Answer:

24.1 is a possibility for the perimeter

Step-by-step explanation:

The third side between 12+0.5 and 12-0.5, or 12.5 and 11.5.

The third side is between 11.5 and 12.5.

Simce it isn't isosceles third side can't be 12.

So it's asking you to choose a number between 11.5 and 12.5 with the exclusiion of 12 for the third side measurement in meters.

So let's choose 11.6.

So the perimeter is just the sum of all side measurements.

11.6+12+0.5

11.6+0.5+12

12.1+12

24.1

24.1 is a possibility for the perimeter

Create a triangle ABC of your choice. Using GeoGebra tools, construct the angle bisectors of ∠A and ∠B. Mark the intersection point of the angle bisectors, and label it point D.
Create a line through point D perpendicular to .
Find the intersection of line segment and the perpendicular line, and label it point E. With point D as the center, create a circle passing through point E.
Measure and label the radius of the inscribed circle of ΔABC on the diagram.
Take a screenshot of your result, and paste it below.

Answers

The steps to create attached screenshot of the inscribed circle of triangle ΔABC using GeoGebra tools includes;

1) Clicking on the Geometry link, under Powerful Math Apps group

2) On the opened Geometry page click on the Polygon icon and follow the instructions that come up, which is Select all vertices and then the first vertex (selected) again (a second time)

3) Once the triangle is created, select the Angle Bisector icon, under the Construct group; A message will appear, asking to Select three points or two lines, select three vertex, of the triangle created with a mouse click, with the vertex A in the center, such as BAC, or CAB a straight line representing the angle bisector of angle ∠A is created

4) Repeat the above to create the angle bisector of angle ∠B

5) Click on the Point button under the Basic Tools group, then click on the intersection of the two angle bisectors created above, the point will be automatically labelled point D

6) Click on the Perpendicular Line, icon under the Construct group, then click on point D, and then the line AB to draw the perpendicular from D to AB

7) Click on the point Point icon and then the intersection point of the perpendicular from D and AB to label the point E

8) Click on the Circle with Center basic tool and then points D and E above, to create the inscribed circle of triangle ΔABC

9) Select the Segment tool, then select the center of the circle and a point

on the circumference. Click on the label, from the pop up options, select

the label option AA then change the label of the segment created to Radius

and select Show Label and Show Value. The inscribed circle of ΔABC created with GeoGebra tools is attached

Learn more about GeoGebra hear;

https://brainly.com/question/10400398

Answer:

Step-by-step explanation: from edmentum

pleaseee help help

The sign at the tee off area for a hole on a golf course indicates the hole is 340
yards from the tee. The golfers drive went to the right. The caddie paced the
drive to be 230 yards. The yardage markers indicate the ball is still 175 yards
from the hole. Determine the angle the golfer went off line from the tee when they
drove the ball.

Answers

The angle the golfer went off line from the tee when they  drove the ball

is [tex]\phi=28.2 \textdegree[/tex] because the cosine rule has been applied to calculate the angle

From the question we are told that:

Distance of hole from tee [tex]d_h=340yards[/tex]

Distance to the right [tex]d_r=230yards[/tex]

Ball distance from hole [tex]d_b=175 yard[/tex]

Given that the three points form a triangle x,y,z respectively

Where

[tex]d_h=xz[/tex]

[tex]d_r=xy[/tex]

[tex]d_b=yz[/tex]

Using Cosine Rule

[tex]yz^2=xy^2+xz^2-2(xy)(xz)cos\phi[/tex]

Therefore

[tex]cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}[/tex]

[tex]cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}[/tex]

[tex]cos\phi=0.88[/tex]

[tex]\phi=28.2 \textdegree[/tex]

In conclusion the angle the golfer went off line from the tee when they

drove the ball is mathematically deducted and give as

[tex]\phi=28.2 \textdegree[/tex]

For more information on this visit

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What is the solution set of { x | x <-5} n { x | x >5 }? Help needed!

Answers

Answer:

The Empty set............

Answer:

There is no solution for the intersection of these two sets, as they do not intersect! They don't have any numbers in common and thus form an empty set. The correct answer choice is option D. the empty set.

Step-by-step explanation:

The solution for { x | x <-5} is ---> x < -5

The solution for { x | x >5 } is ---> x > 5

If you placed the two sets on a number line close to each other, you would see that they do not intersect. Thus there is no solution for the intersection of set A and set B as defined in the given problem.

See the graph for better understanding. You see how there's an empty space or area between -5 and 5? Yeah, this is called the empty set which is option D from your answer choices.

PLS HELP ME OB THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

D. Positively skewed

Step-by-step explanation:

hello i need help someone please!!

find the inverse of this relation
h(t) = -6t + 7

Answers

Answer:

73

Step-by-step explanation:

Answer:

[tex]h^{-1}[/tex] (t) = [tex]\frac{7-t}{6}[/tex]

Step-by-step explanation:

let y = h(t) and rearrange making t the subject

y = - 6t + 7 ( add 6t to both sides )

6t + y = 7 ( subtract y from both sides )

6t = 7 - y ( divide both sides by 6 )

t = [tex]\frac{7-y}{6}[/tex]

Change y back into terms of x with t = [tex]h^{-1}[/tex] (t)

[tex]h^{-1}[/tex] (t) = [tex]\frac{7-t}{6}[/tex]

f(x) =-x^2+x+13
find f(9)

Answers

Answer:

f(9) = - 59

Step-by-step explanation:

Substitute x = 9 into f(x) , that is

f(9) = - (9)² + 9 + 13

     = - 81 + 22

    = - 59

Answer:

-59

Step-by-step explanation:

f(x) =-x^2+x+13

Let x = 9

f(9) = - (9)^2 +9+13

       = -81 +9+13

      = -59

Round 4746.13662611 to the nearest whole number.

Answers

Answer:

4746

Step-by-step explanation:

4746 is the answer. since 1(the first number after the point) is less then 5 so we dont need to round the last number (before the point)

could someone help me with these questions please i’m really confused

Answers

Answer:

C

Step-by-step explanation:

c

If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:

Answers

Answer:

176 cm

Step-by-step explanation:

The shorter arc is 22 cm.

Arc length formula:

s = πrθ/180

Circumference formula:

C = 2πr

Use the first formula to work out the value of C:

22 = πr*45/180πr/4 = 22πr = 88 2πr = 176C = 176 cm

Length of arc=L=22cm

We know

[tex]\boxed{\sf L=\dfrac{\Theta}{360}\times πr}[/tex]

[tex]\\ \sf\longmapsto 22=\dfrac{45}{360}\times 2πr[/tex]

[tex]\\ \sf\longmapsto \dfrac{2πr}{8}=22[/tex]

[tex]\\ \sf\longmapsto {2πr=176}[/tex]

[tex]\\ \sf\longmapsto Circumference=176cm[/tex]

What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?

Answers

Here’s the answer to your question
Hope you understand it!,

Answer:-3\2

Step-by-step explanation:

slope is difference y axis by x axis

4-12/-2+6=-6/4=-3\2

The mean of 14 numbers is 49. Removing one of the numbers causes the mean to decrease to 43. What number was removed?

Answers

Answer:

126 was removed.

Step-by-step explanation:

The total before division took place was

Total = mean * 14

mean = 49

Total = 49 * 14

Total = 685

Now you subtract x from the total

685 - x

And divide by 13 [one number is missing]

(685 - x)/13

and the result = 43

(685 - x ) / 13 = 43                Multiply both sides by 13

685 - x  = 43 * 13

685 - x = 559                       Subtract 685 from both sides

- x = - 126                             Multiply by - 1

x = 126

Which lists all of the shapes that are in a two-dimensional net of a square pyramid? 6 squares 4 triangles 1 square and 3 triangles 1 square and 4 triangles

Answers

Answer:

4 triangles and 1 square

Step-by-step explanation:

Required

The shapes in two-dimensional net of a square pyramid

To do this, I will attach an attachment of a 2D net of a square pyramid (see attachment)

From the attachment, we can see that:

The 2d shape of the pyramid is made of 4 triangles and 1 square

Answer:

D

Step-by-step explanation:

Scale the numerator and the denominator down by a factor of 3 (divide) to write a fraction equivalent to \frac{3}{12}
12
3

.

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{12}[/tex] ← divide numerator and denominator by 3

= [tex]\frac{1}{4}[/tex]

The hypotenuse of a right triangle measures nem and one of its legs measures o em.
Mnd the measure of the other leg. If necessary, round to the nearest tenth.
Sun
attempt to

Answers

H=11cmB=9cmP=?

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=121-81[/tex]

[tex]\\ \sf\longmapsto P^2=40[/tex]

[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]

[tex]\\ \sf\longmapsto P=6.2cm[/tex]

Step-by-step explanation:

Given,

Hypotenuse = 11 cm

Base (One of the given leg) = 9 cm

Therefore,

According to Pythagoras Theorem,

[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]

[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]

[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]

[tex] = > {height}^{2} = 121 - 81[/tex]

[tex] = > {height}^{2} = 4 0[/tex]

[tex] = > height = \sqrt{40} [/tex]

=> height = 6.3245553203

When rounded to nearest tenth,

=> height = 6.3

Hence,

Required length of other leg is 6.3 (Ans)

PLEASE HELP DUE IN 15 MNUTES MARKING BRAINLIEST AND 15 POINTS YOU DONT HAVE TO EXPLAIN MUCH

Answers

Answer:

see below

Step-by-step explanation:

11a   -2(x^2 -3)

Distribute

-2*x^2 -2(-3)

-2x^2 +6

11b  2x(x+4)

 Distribute

2x*x +2x*4

2x^2 +8x

12 The perimeter is the sum of all sides

The top is equal to the bottom and the left side is equal to the right

x-10 + x+20+x-10+x+20

Combine like terms

4x +20

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x

x + a = ¾

Answers

Answer:

x = ¾-a

Step-by-step explanation:

x + a = ¾

Subtract a from each side

x + a -a= ¾-a

x = ¾-a

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]x+a=\dfrac{3}{4}\\\\x=\dfrac{3}{4}-a\\\\x=\dfrac{3-4a}{4}[/tex]

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

1. 42.78 + 19.56
2. 0.0997 + 1.4
3. $62.74 + $1.75 + $12
4. 40.75 – 17. 46
5. 0.95 – 0.68
6. $60 - $31.74
7. 5.4 x 0.07
8. 5.9 x 1.2
9. 0.24 ÷ 0.8
10. 6.56 ÷ 4

Answers

1.  - 62.34

2. - 1.4997

3. - $76.49

4. - 23.29

5. - 0.27

6. - $28.26

7. - 0.378

8. - 7.08

9. - 0.3

10. - 1.64

Answer:

1. 62.34

2. 1.4997

3. $76.49

4. 23.29

5. 0.27

6. $28.26

7. 0.378

8. 7.08

9. 0.3

10. 1.64


What will be the first term of a geometric series which has its sum 280, common ratio 3 and the last term 189 ?

Answers

Answer:

b1=7

Step-by-step explanation:

If we deal with geometric series, we should use the formulas for it. If there is the last term, it is not infinite geometric series. The sum of geometric series which isn't infinite is equal to b1(r^n-1)/(r-1)   where b1 is the first term and r is the common ratio.

So 280= b1(3^n-1)/(3-1)

560= b1(3^n-1)

560= b1*3^n-b1

Then express bn=b1*r^(n-1)

189= b1*3^(n-1)

189= b1*3^n*1/3

567= b1*3^n when

560= b1*3^n-b1

560=567-b1

b1=7

Estimate the solution to the following system.

Answers

Answer:

(-150, 45)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

My best guess from the graph is

(-150, 45)

If T is the midpoint of SU what are ST, TU, and SU?

a. ST = 7, TU = 63, and SU = 126


b. ST = 63, TU = 63, and SU = 126


c. ST = 80, TU = 80, and SU = 160


d. ST = 18, TU = 18, and SU = 36

Answers

Answer:

B

Step-by-step explanation:

As T is the midpoint of SU, ST=TU. 9x=5x+28, 4x=28, x=7. ST=TU=63 and SU=126

Find the value of a. A. 57 B. 104 C. 26 D. 52​

Answers

Answer:

Option D, 52

Answered by GAUTHMATH

2. Write an equation that can be used to find M-Angle M. Then Solve it. Round to the nearest degree​

Answers

Answer:

M = sin ^-1 (5/11)

M = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin M = 5/11

Taking the inverse sin of each side

sin ^-1 sin M = sin ^-1 (5/11)

M = sin ^-1 (5/11)

M=27.03569

To the nearest degree

M = 27

The Vertices of a quadrilateral are A(4,-3),B(7,10),C(-8,2)and D(-1,-5).Find the length of each diagonal.Show me with the steps Please!​

Answers

Answer:

13 and 17 units

Step-by-step explanation:

explaination is in pic.

The length of the diagonals of the quadrilateral AC and BD are 13 units and 17 units respectively, as per length between two points.

What is the length between two points in a plane?

The length between two given points (x₁, y₁) and (x₂, y₂) will be:

√[(x₂ - x₁)² + (y₂ - y₁)²] units

Given, the vertices of a quadrilateral are A(4,-3),B(7,10),C(-8,2)and D(-1,-5).

Therefore, the diagonals of the quadrilateral will be AC and BD.

The coordinates of the diagonal AC are (4, - 3) and (- 8, 2).

Now, the length of the diagonal AC will be:

= √[(-8 - 4)² + (2 - (- 3))²] units

= √[(- 12)² + (5)²] units

= √[144 + 25] units

= √(169) units

= 13 units                                  (length can't be negative)

Similarly, the coordinates of the diagonal BD are (7, 10) and (- 1, - 5).

Now, the length of the diagonal BD will be:

= √[(-1 - 7)² + (- 5 - 10)²] units

= √[(- 8)² + (- 15)²] units

= √[64 + 225] units

= √(289) units

= 17 units                                  (length can't be negative)

Learn more about the length between two points on a plane here: https://brainly.com/question/14898312

#SPJ2

Is 3584 a term of the series 7+14+28+56........?
(please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
(No spam answers or else you'll be reported )​

Answers

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then

[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]

Equate [tex]a_{n}[/tex] to 3584 and solve for n

7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )

[tex]2^{n-1}[/tex] = 512 , that is

[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

What is the value of x?

Answers

answer: 112. ——i think :)

Answer:

x = 46

Step-by-step explanation:

Assuming DE is an angle bisector , then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{HD}{DG}[/tex] = [tex]\frac{EH}{EG}[/tex] , substitute values

[tex]\frac{x+4}{58}[/tex] = [tex]\frac{55}{63.8}[/tex] ( cross- multiply )

63.8(x + 4) = 3190 ( divide both sides by 63.8 )

x + 4 = 50 ( subtract 4 from both sides )

x = 46

Serena hits a tennis ball downward from the top of the net at which the angle of
depression is 20°. If the net is 0.9 m high, how far from the net does the ball land to
the nearest tenth of a metre?

Answers

Answer:

2.5 meter

Step-by-step explanation:

in a right triangle, tan of an angle  = opposite side /adjacent side

tan 70° = x/ 0.9 , multiply both sides by 0.9

0.9 * tan 70° = x, solve on a calculator

x ≈ 2.5 m

Help pls!! I’m bad at geometry lol

Answers

Answer:

The perimeter of a shape is the length around it.

Step-by-step explanation:

We will be using the x and y values and add them together to find the total perimeter.

To do this, let's find all the values of the 2 axis:

(2 to 4) = 2

(1 to 3) = 2

(4 to 10) = 6

(3 to 1) = 2

(10 to 12) = 2

(1 to 8) = 7

(12 to 2) = 10

(8 to 1) = 7

We now add these values together which gives us 38. Don't forget to add the units afterwards (cm, m and so forth).

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