michael is making a square pyramid out of paper for a school project .he cuts a piece of paper with the dimensions shown to make the pyramid .what is the approximate surface area of the pyramid ?

[tex] {v}^{2} = {u}^{2} + 2as \\ {v}^{2} = 144 - 108 \\ {v}^{2} = 36 \\ v = 6 , -6 \: [/tex]

Part (i)

I'm going to use the notation T(n) instead of [tex]T_n[/tex]

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

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Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

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Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

Answer:

Option d, ln 54.6 = 4

Step-by-step explanation:

54.6 = e⁴

taking log both side (where base of log is e)

ln 54.6 = log e⁴

or, ln 54.6

or, ln 54.6 = 4×ln e

or, ln 54.6 = 4 (ln e = 1)

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

peter can buy pack of nine pencils

6 divided by 1.68 =3.5

9 divided by 2.34=3.8

package 2 is just 0.3 more

it give 3 more pencils for 0.3

Answer:

.5 < 2 - sqrt(2) < .6

Step-by-step explanation:

sqrt() is larger than 1.4 and less than 1.5

2 - sqrt(2)    2 -1.4 = .6

2 - sqrt (2) 2 - 1.5 = .5

.5 < 2 - sqrt(2) < .6

[tex]1.4 < \sqrt{2} <1.5 \\ - 1.5 < - \sqrt{2} < - 1.4 \\ 2 - 1.5 < 2 - \sqrt{2} < 2 - 1.4 \\ 0.5 < 2 - \sqrt{2 } < 0.6[/tex]

Answer:

None

Step-by-step explanation:

No lines can be folded over to match up with the opposite side

Answer:

60

Step-by-step explanation:

Multiply length times width times height

Answer:

C or 104

Step-by-step explanation:

I assume this is surface area, and I don't know what kinda sadist person would make everyone learn in "Total Area," but it is what it is.

So, to find total area, we need to literally multiply every different number with the other.

(You should not do it the way I did, as I did it in the easiest and simpliest way to understand possible.)

Actually, you get the length, width, and height of a figure and do what is below pretty much.

You multiply the length by the width, the length by the height, and the width by the height (doesn't have to be in this order, this is just to make it easy to remember which ones you did.)

We multiply the

5 * 6

5 * 2

and then the

6 * 2

This accounts for every possible case, as multiplying 2 * 5 gives the same thing as the second expression anyways.

So we then solve these three expressions.

5 * 6 = 30

5 * 2 = 10

and then the

6 * 2 = 12

And we add them to get

30 + 10 + 12

= 52.

Then we multiply by 2, because there are two cases of each face of the shape.

You need to remember that there is 3 other faces on the shape you are looking at, it's just that the shape/figure is facing you in a way that you can't see them.

After multiplying by 2, we get

52 * 2

= 104, which is C.

TAKE A SCREENSHOT NOT A PICTURE AS WE DON'T NEED TO SEE SOME 420P MONITOR FROM 1987 THAT SHOWS EVERY PIXEL PLEASE AND THANK YOU :D

Answer:

$16000

Step-by-step explanation:

let Amount Erica received be 'x'

Tatia received = 2x

Mary received = 2/3(2x) = 4x/3

x + 2x + 4/3(x) = 52000

3x + 4x/3 = 52000

(9x+4x)/3 = 52000

13x/3 = 52000

x = (52000 x 3) / 13

x = 4000 x 3

x = 12000

Mary Received = 4x/3 = 4(12000)/3 = 16000

Answer:

$16000

Step-by-step explanation:

erica would get -n

tatia gets -2n

Mary gets -2/3 of 2n

2n +( 2/3 of 2 n ) + n =$52000

2n + 4/3n+ n=$52000

3 4/3 n=$52000

13/3 n= $52000

n= $16000

Answer:

hlo buddy

are u free now.. nhjm....

Answer:

10 miles

Step-by-step explanation:

6 in 24 min 6÷24=4

60÷6 =10

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

Here's one approach:

(6 miles)/(24 minutes) = (x miles)/(60 minutes)

6/24 = x/60

6*60 = 24*x

360 = 24x

24x = 360

x = 360/24

x = 15

She travels 15 miles in 60 minutes (aka 1 hour). So we can say her speed is 15 mph.

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

Here's another approach:

If she travels 6 miles in 24 minutes, then her unit rate is distance/time = 6/24 = 1/4 = 0.25 miles per minute.

So if she travels for 60 minutes, then she'll cover a distance of 60*0.25 = 15 miles

Answer:

40 oranges are there in 100 fruites.

Answer:

y < 5/2x + 5

Step-by-step explanation:

slope goes up 5, then over 2 ( 5 on top, 2 on bottom --> 5/2)

y intercept is +5

Answer:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2

Answer:

Four cars that can hold 3 passengers

Step-by-step explanation:

The number of cars on the Cyclone Coaster = 16 cars

The number of passengers some cars hold = 2 passengers

The number of passengers the other cars hold = 3 passengers

The number of people altogether the Cyclone Coaster has room for = 36 people

Let x represent the number of cars that can hold 3 passengers, and let y represent the number of cars that can hold 2 passengers, we have;

3·x + 2·y = 36...(1)

x + y = 16...(2)

The value of x can be found by making y the subject of equation (1) and equation (2) and equating both values of y given in x as follows;

The value of y from equation (1) is, y₁ = (36 - 3·x)/2 = 18 - 3·x/2

∴ y₁ = 18 - 3·x/2

The value of y from equation (2) is, y₂ = 16 - x

Equating both y values, to find the coordinates of the common point to both equations, gives;

At the common point y₁ = y₂

By the substitution property of equality

∴ 18 - 3·x/2 = 16 - x

3·x/2 - x = 18 - 16 = 2

x/2 = 2

∴ x = 4

The number of cars that can hold 3 passengers, x = 4

(From y₂ = 16 - x, we have

y₁ = y₂ = 16 - 4 = 12

y = 1

The number of cars that can hold 2 passengers, y = 12).

Answer:

a) its root 2

b) 2

c) 3,4,5,6 (just all x numbers)

d) inverse is just reverse of points ex: (2,1) for the first set

also what is that equation up top am i suppose to use that for something

Step-by-step explanation:

Answer:

x>-5 x ≤10

Step-by-step explanation:

-35/7=-5

7x/7=x

3x/3=x

30/3=10

Answer: -5 < x _< 10

Step-by-step explanation:

Answer:

Confidence interval of the population mean

Step-by-step explanation:

The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.

The statement above gives the confidence interval at α = 95%

Answer:

C)3/2

Step-by-step explanation:

Perpendicular lines have a negative reciprocal slopes.

Therefore  C)3/2

Answer:

dont understand clearly

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

Given

tan34° = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )

20 × tan34° = x , then

x ≈ 13.5 ( to the nearest tenth )

Answer:

BW = 132.59

Step-by-step explanation:

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

tan theta = opp /adj

tan 9 = 21 / BW

BW tan 9 = 21

BW = 21/ tan 9

BW = 132.5887818

BW = 132.59

Answer:

Step-by-step explanation:

Side BW is the height, aka as the side adjacent to the reference angle of 9 degrees. We have the side opposite the reference angle (21) and we are looking for the side adjacent to the reference angle. The trig ratio that we use for this, the one that relates the sides opposite and adjacent, is the tangent ratio, namely:

[tex]tan(9)=\frac{21}{BW}[/tex] and solving for BW:

[tex]BW=\frac{21}{tan(9)}[/tex] so

BW = 132.59

Answer:5

Step-by-step explanat[tex]\sqrt{5} = 5[/tex]

[tex]\sqrt{5}[/tex]  = 2.23

Answer:

We want to "chop and round" the periodic number 0.9 at 3 digits.

First, remember that we can write our periodic number as:

0.9 = 0.9999...

Such that the nine repeats infinitely.

Now we want to chop it at the third digit, and then round.

To chop at the third digit we just "cut" the number at the third digit after the decimal point, we will get:

0.9 ≈ 0.999

Now we round.

Remember that to round a number, we need to look at the last digit after the decimal point.

If the last digit is 5 or larger, we round up, adding 1 to the previous decimal.

If the last digit is 4 or smaller, we round down, don't adding anything to the previous decimal.

in our number:

0.999

The last digit is a 9, so we round up.

Then we add "1" to the previous decimal

but the previous decimal is a 9, so when we add 1, it will transform into a 10.

So it also adds one to the previous decimal, which also is a 9, so the process repeats, this time adding 1 to the decimal to its left, in this case, that decimal will be the first decimal at the left of the decimal point.

So after rounding, we will get:

0.999 ≈ 1

Then we can conclude that:

he 3 digit chopping and rounding approximately of the number 0.9 is 1"

Answer:

40. A c=60

41 B z= 40

Step-by-step explanation:

The sum of the angles in a triangle is 180

40.  61+59+c = 180

Combine like terms

120+c = 180

c = 180-120

c =60

41.  90+50+z = 180

140 +z = 180

z = 180-140

z = 40

Answer:

A' (-5, 5)

B' (20, 0)

C' (5, -15)

Step-by-step explanation:

Multiply each coordinate by 5, and your result is given above.

Answer:

Step-by-step explanation:

The answer is B

Eplanation:

V = pi * r² * (h/3)

Then from here you just make h the subject of the formula:

h = (V * 3)/(pi * r²)

h = (393*3)/[3.14* (10/2)²]

h = 15.01910828 ft

which is rounded to 15 ft...B

:)

Answer:

[tex]f(x) = 3x - 5[/tex]

For a zero, f(x) = 0:

[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]

Answer:

gansjehensjhebebsbbvevbeb

Step-by-step explanation:

bebbdnxnbahwv sbbhw €6%×:nbbe

Solution :

Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.

So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.

Thus in the quadrilateral ABCD we see that :

1. AC and DB are the diagonals of quadrilateral ABCD.

2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)

3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )

4. Angle ABE is congruent to angle CDE. (Angle side angle)

5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)

Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.

Answer:

△ABE and△CDE by side-angle-side

Answer:

becouse 4×960 will give you

3840