Therese filled a rectangular pool with water. The pool measured 2 1/4 yards long, 2 yards wide and 1 2/3 yards tall. If the pool was filled to the top, how many cubic yards of water did Therese use?

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561

Answer:

oh no i dunno how to do this

Step-by-step explanation:

Answer:

36, 6, (1/)36

1/6 ^ -2 = 6^2 = 36

1/6 ^ -1 = 6^1 = 6

1/6 ^2 = 1/36

Answer:

27 degrees

Step-by-step explanation:

So looking at this rhombus, we can make out 4 seperate traingles.

How many degrees are in a traingle? 180.

Looking at the traingle with z angle in it, we can see that it is a right traingle.

Now, lets subtract that 90 degrees from the 180.

This leaves us with the 63 degrees and x that make up the 90 degrees that are left.

Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.

90 minus 63 is 27, so the angle of z is:

27 degrees

I hope this helps!

Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.

AnswThe answer would be 5 and 86

Step-by-step explanation:

sulitions are 5 and 86

Answer:

x = 1/5 , -3/5 ??

Step-by-step explanation:

Hi, Which math? Alegbra,calculus, or geometry?) lol

Step-by-step explanation:

Answer:

Nosotros teníamos 120 dólares.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:

(i) Tu tienes la mitad de lo que tenías:

[tex]y = \frac{1}{2}\cdot x[/tex] (1)

(ii) Tendrás el triple lo que tienes:

[tex]z = 3\cdot y[/tex] (2)

(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:

[tex]x+y+z = z + 180[/tex]

[tex]x + y = 180[/tex] (3)

En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:

[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)

[tex]3\cdot y - z = 0[/tex] (2)

[tex]x + y = 180[/tex] (3)

La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].

Nosotros teníamos 120 dólares.

Answer:

97

Step-by-step explanation:

exterior angle property of triangle

64+33 equals 97

in other ways

By Angle sum property of triangle, the measure of 3rd angle is 83 and

angle 1 and 3rd angle are supplementary

so,

180 - 83 = 97

Answer:

X= y/2-2

Step-by-step explanation:

Well to isoalte x just do the same thing you would do for y,

Isolate the numbers without a variable buy subtravting 4 on each side.

y-4=2x

Now isolate 2 and x by divide 2 on both sides

y/2-2=x

This can be determined by the simple mathematical concepts.  Therefore the value of x is,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]   the subject of he formula y=2x+4.

Given that the subject of the formula y=2x+4.

We have to find x.

According to the question,

To obtained the value of x by the  given formula

i.e.  y = 2x+4                   .....(1)

Now the value of x is from the above equation (1)...

[tex]\bold{x=\dfrac{y-4}{2} }[/tex]

Hence, the value of x ,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]    makes x the subject of the formula y=2x+4.        

For further details,please refer this link:

https://brainly.com/question/20632687

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Answer:

the answer is 20

Step-by-step explanation:

in the question they want the shortest side length of the triangle and they gave you the perimeter.

what we want to find is the x value.

so,

perimeter= the sum of all sides.

substituting,

80= 5x + 32 + 2 (3x+2)

80= 5x +32+6x+4

80=11x+36

80-36=11x

44=11x

44/11=x

4=x

so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.

5*4=20

32

2 (3*4+2)=28

so the shortest length is 20.

we can also check our answer to see if it is correct.

20+33+28= 80.

Answer:

d

Step-by-step explanation:

[tex]x 1= \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ x2 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ x1 = \frac{ - 2 + \sqrt{ {2}^{2} - 4\times 1 \times ( - 3)} }{2} = 1 \\ x2 = \frac{ - 2 - \sqrt{ {2}^{2} - 4 \times 1 \times ( - 3)} }{2} = - 3[/tex]

Answer:

d

Step-by-step explanation:

Solving by factorising

Given

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Answer:

39 degrees

Step-by-step explanation:

tan^-1(100/125)

=39 degrees (cor. to the nearest degree)

Answer:

6.8cm

Step-by-step explanation:

I dont have an explanation

Answer:

v=-16

Step-by-step explanation:

-2=2+v/4

(we know that 2+-4=-2 so we can see if that works)

(4*-4=-16)

2+-16/4=-2

(-16/4=-4)

2+-4=-2

Answer:

try clicking on another option?

Answer:

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

The following examples to illustrate

[tex]\sqrt{2}[/tex] is irrational

[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 ← which is rational

[tex]\sqrt{3}[/tex] is irrational and

[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] ← which is irrational

Result is therefore sometimes

Answer:

226 inches cube

Step-by-step explanation:

The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.

Answer:

151 in^3

Step-by-step explanation:

pi x 3^2 x 5.5 (the approximate water level)

= 155

151 is the closest answer

Answer:

Step-by-step explanation:

q = 51

Writing these statements symbolically, we get p = k/q.  This is inverse variation.

Solving for k, we get k = pq.  Thus the governing equation is k = pq, or k = (17)(15) = 255.

We then have a specific equation:  p = 255/q, or q = 255/p.

If p is 5, q is   q = 255/5 = 51

A is your answer just multiply it by 14 then add it by 5 it looks as if all sides are equal.

Answer:

91.61

Step-by-step explanation:

A=πr2=π·5.42≈91.60884

hope this helps give me crown

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

How many volunteers worked a total of 4 hours

Step-by-step explanation:

Its right i got a one hundred my test

Answer:

How many volunteers worked at a total of 4 hours?

Step-by-step explanation:

Answer:

The answer is D

Answer:

1.101, 1.001, and 0.113

Step-by-step explanation:

the first on is the highest

plz leave a like and brainlest!! i need 10 to ask a quistion!!!

Answer:

               Tenths place is a zero

               ↓

0.113       1.001        1.101

↑

One's place is a zero

Answer:

12cm

Step-by-step explanation:

pythagoras theorem

Find the unknown length

a

of right triangle.

Formula :

a

=

√

c

2

−

b

2

Solution :

a

=

√

13

2

−

5

2

=

√

169

−

25

=

√

144

a

=

12

Answer: 6 for $4.99

Step-by-step explanation: You would be better off buying 6 for $4.99 because the unit rate of each bottle is cheaper. You can find the unit rate by dividing 4.99 by 6 which equals .83

If you were to buy 6 for .89 you would end up spending $5.34.

Hope this helps :)

Answer:

6 for 4.99

Step-by-step explanation:

.89 x 6= 5.34

Answer:

240 units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

178^2 units

Answer:

40

Step-by-step explanation:

it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry