Show that a to the 6th an be written as a perfect square and as a perfect cube.

Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor k from ΔBAC to ΔDEF:

[tex]\displaystyle 5 k = 4[/tex]

Solve for the scale factor k:

[tex]\displaystyle k = \frac{4}{5}[/tex]

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]

In conclusion, the area of ΔEDF is 9.6 square inches.

Answer:

4

Step-by-step explanation:

Answer:

The dad is 36 and the son is 12

Answer:

40,960

Step-by-step explanation:

To find the multiplier, set up an equation like this:

[tex]5x=-10[/tex]

The above equation will allow us to find what number, when multiplied with 5 will result in -10. If we divide both sides of the equation by 5, we'll find that the number, x, is -2:

[tex]x=-2[/tex]

We need to find the 14th term. To do this, simply multiply the lattermost number in the sequence by our multiplier, -2.

[tex]20*(-2)=40[/tex]

Since 5 is the first term in the sequence, -10 is the second term in the sequence, and 20 is the third term in the sequence, 40 is the fourth term. Now we just need to find the next ten so that we can find the 14th term. To do that, repeat the process of multiplying the lattermost number by -2 ten more times:

[tex]40*-2=-80\\-80*-2=160\\160*-2=-320\\-320*-2=640\\640*-2=-1280\\-1280*-2=2560\\2560*-2=-5120\\-5120*-2=10240\\10240*-2=-20480\\-20480*-2=40960[/tex]

Therefore, the 14th term is 40,960.

Answer:

-40,960

Step-by-step explanation:

you have to add the negative because there partners in crime

a18 − a12 = 24 == 24

d == 24

I hope this is correct and helps..

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

Answer:

A square root

Step-by-step explanation:

A square root is one of two equal factors of a number.

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]

[tex] \large \sf \: x+28=-8 [/tex]

[tex] \large \sf \: x=-8-28 [/tex]

[tex] \large \boxed{ \bf \: x=-36 }[/tex]

answer is option B 480 because it is getting reduced by 4 times at Evey step

Answer:

30*4=120

120*4=480

answer=480

Step-by-step explanation:

Answer:

[tex] \frac{ {x}^{2} + 9 }{3 \sqrt[3]{ {x}^{2} } + 3( {x}^{2} + 3)} [/tex]

Step-by-step explanation:

attached

Answer:

Step-by-step explanation:

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

Step-by-step explanation:

The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).

So far this gives us L∗W=300in2

Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:

4x∗3x=300in2

Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:

4∗x∗3∗x=300in2

From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:

12x2=300in2

From here, simply divide through by 12 to isolate x on one side,x2=25

And finally take the square root of both sides to work out what your common factor is,

x=5

Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.

(4∗5)in∗(3∗5)in=300in2

20in∗15in=300in2

Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in

Answer:

functional relationship

Step-by-step explanation:

2 goldfish per month

how many in a year

12 months in a year

24 goldfish in one year

Answer:

A) ahead 1 space

Step-by-step explanation:

2-3 = -1

-1-2 = -3

-3+4= 1

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

Answer:

25

Step-by-step explanation:

The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

Below.

Step-by-step explanation:

I'll  write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs  = 1 + s - c + c + cs - c^2

s  + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

Answer:

Step-by-step explanation: please do mark as brainliest

Step-by-step explanation:

Just Subtract

32-18

14 Answer

Answer:

Answer is 14

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

8

if u look closely,triangle abc has 4 identical triangle def in it.

Answer:

y < -2

Step-by-step explanation:

7 - 6y > 19

Subtract 7 from each side

7-7 - 6y > 19-7

-6y > 12

Divide each side by -6. remembering to flip the inequality

-6y/-6 < 12/-6

y < -2

First, let's declare our variables

B = x+2

A = 3(x+2)

Now, let's create our expression.

A + B = 128

Plug in the values for A and B

x+2 + 3(x+2) = 128

We need to solve for x. Start off by simplifying the left side.

x+2 + 3x + 6 = 128

Combine like terms.

4x + 8 = 128

Subtract 8 from both sides.

4x = 120

Divide both sides by 4

x = 30

B = x+2 = 30 + 2 = 32 degrees

A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees

Answer:

4565 cm

Step-by-step explanation:

55 * 83