A betta fish tank is in the shape of a cube. The volume of the fish tank is 216
cubic inches. What is the edge length, in inches, of the fish tank?
6)
Type the number in the box.
inches

Answer:

Area of polygon = 42.63 mm²

Step-by-step explanation:

Given:

To find the area of the polygon (rectangle), multiply the length with the width.

⇒ Area of polygon = LW

Substitute the values into the area:

⇒ Area of polygon = (8.7)(4.9)                                [L = 8.7 mm; W = 4.9 mm]

⇒ Area of polygon = 42.63 mm²

As it's a rectangle

Area:-

Answer:

the #1 one is about 307.88 & the #2 on is 100.53

Step-by-step explanation:

Answer:

308 in³, 101 in³ (from left to right)

Step-by-step explanation:

Volume of cylinder= πr²h, where r is the radius and h is the height.

Cylinder on left

radius= 7 in

height= 2 in

Volume

= π(7²)(2)

= 98π

= 308 in³ (3 s.f.)

Cylinder of right

radius= 4 in

height= 2 in

Volume

= π(4²)(2)

= 32π

= 101 in³ (3 s.f.)

Answer:

  A.  50°

Step-by-step explanation:

The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.

  ∠ACB = 180° -AB

  ∠ACB = 180° -130°

  ∠ACB = 50°

Answer:

y=-2x+2

Explanations:

the slope is -2 and the y-intercept is (0,2)

Answer: Alternate interior angles theorem

Step-by-step explanation:

Answer:

x = 53.15

Step-by-step explanation:

use Pythagoras theorem

first find for the triangle that has both sides given and then solve for the other

Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms is given by:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:

{0, 1, 2, 3, ..., 11}

In which [tex]a_1 = 0, a_11 = 11, n = 12[/tex].

Then:

[tex]T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132[/tex]

The clock chimes 132 times in a 24-h period.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Answer:

the area would be 11/6 yards^2

or 1 5/6 yards^2 or 1.8333333...yards^2

Step-by-step explanation:

turn 2 3/4 into 11/4 and multiply with 2/3 to get 22/12 divide by 2 to get 11/6 then simplify

Step-by-step explanation:

Turn 2 3/4 into an improper fraction

11/4

Multiply both fractions

2/3 × 11/4 = 22/12

Simplified is 11/6 (you divide 22/12 by 2)

4374

Step-by-step explanation:

We are multiplying by 3 each time

2*3 = 6

6*3 =18

18*3 = 54

The formula is

an = 2 * 3^(n-1)  where n is the term number

a8 = 2 * 3^(8-1)

a8 = 2 * 3^7

a8 = 2*2187

a8 = 4374

Answer:

4374

Step-by-step explanation:

First term, a =2

Common ratio, r = 3

nth term = a.r^(n-1)

where , n is the number of terms

8th term = 2.(3)^(8–1)

=2(2187)

=4374

⇒ A geometric progression, sometimes termed a geometric sequence, is a series of integers in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.

Answer:

  b.  4x^2 -7x +5

Step-by-step explanation:

When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...

  (7x^2 -5x +4) - (3x^2 +2x -1)

  = (7 -3)x^2 +(-5 -2)x +(4 -(-1))

  = 4x^2 -7x +5 . . . . . matches B

The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.

In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.

Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

Learn more about decimals on:

https://brainly.com/question/1015576

first off let's change the mixed fractions to improper fractions, and let's Hailey's account first.

[tex]\stackrel{mixed}{9\frac{1}{4}}\implies \cfrac{9\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{37}{4}} ~\hfill \stackrel{mixed}{8\frac{7}{8}}\implies \cfrac{8\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{71}{8}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &\stackrel{43000(2)}{\$86000}\\ P=\textit{original amount deposited}\dotfill & \$43000\\ r=rate\to \frac{71}{8}\%\to \frac{~~ \frac{71}{8}~~}{100}\dotfill &0.08875\\ t=years \end{cases} \\\\\\ 86000=43000e^{0.08875\cdot t}\implies \cfrac{86000}{43000}=e^{0.08875t}\implies 2=e^{0.08875t}[/tex]

[tex]\ln(2)=\ln(e^{0.08875t})\implies \log_e(2)=\log_e(e^{0.08875t})\implies \ln(2)=0.08875t \\\\\\ \cfrac{\ln(2)}{0.08875}=t\implies 7.81\approx t[/tex]

ok, now we know how long it takes for Hailey's money to double, how much money does Aiden have by then?

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$43000\\ r=rate\to \frac{37}{4}\%\to \frac{~~ \frac{37}{4}~~}{100}\dotfill &0.0925\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &\frac{\ln(2)}{0.08875} \end{cases}[/tex]

[tex]A=43000\left(1+\frac{0.0925}{12}\right)^{12\cdot \frac{\ln(2)}{0.08875}}\implies A=43000\left( \frac{4837}{4800} \right)^{\frac{12\ln(2)}{0.08875}}\implies \boxed{A\approx 88311}[/tex]

notice, in Hailey's amount we used the logarithmic value for "t", just to avoid any rounding issues.

Answer:

Step-by-step explanation:

Convert the volume from L to mL according to capacity of the can.

Answer:

2320 milliliters

Step-by-step explanation:

1 liter = 1000 milliliters

If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:

⇒ 2.32 liters = 2.32 × 1000

                     = 2320 milliliters

**To multiply a number by 1000, simply move the decimal point 3 places to the right**

Answer:

First one.

Step-by-step explanation:

Quantity is usually the best way to know people's preference, that's why Family Feud asks 100 people for their question's answers. This answer may be wrong, since this question is a bit due to opinion. Hope this helps! <3

Answer:

The answer is 6.

Step-by-step explanation:

The degree is the largest exponent on the variable. And in this case the answer is 6.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(86) < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 +430 < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 420 + 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 \div 4 < - s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 106.25 < - s [/tex]

Inequalities change when it is multiplied by -ve number

[tex]\qquad \sf  \dashrightarrow \: - 106.25 > s [/tex]

Answer:

6. $62.74 7.$331

Step-by-step explanation:

6. The original cost= $119.5

After 30% of discount = (70/100)× 119.5

= $83.65

After 25% discount = (75/100)× 83.65

= $62.74

7. Original cost= 679

Price after 35% discount = (65/100)×679=$441.35

Price after 25% discount = (75/100)× 441.35

=$331

So the final price will be = $331

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

Answer:

The length of the diagonal is 8 cm.

Step-by-step explanation:

The side length of the square is √32 cms.

The diagonal divide the square into 2 congruent right triangles.

We use Pythagoras Theorem here:

d^2 = (√32)^2 +  (√32)^2

d^2 = 32 + 32 = 64

d = √64 = 8.

Answer: C

Step-by-step explanation:

This is a Pythagorean triple.

The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches

The volume of the container is given as:

V = 64 cubic inches

When it increases by a maximum of 100 cubic inches, the new volume becomes

V = 164 cubic inches

The volume of a cube container is calculated using:

V = l³

Where l represents the edge length of the cube

Substitute 164 for V

l³ = 164

Take the cube root of both sides

l = 5.5

Hence, the maximum measurement of the edge of the larger cube is 5.5 inches

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

i. 31/25

ii. 1/5

Step-by-step explanation:

you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.

Answer:

y = 4

Step-by-step explanation:

Use slope intercpet form: y = mx + b

Answer:

1. Acute, because it is less than 90 degrees or less than a right angle.

2. that is obtuse because it is bigger than 90 degrees

3. acute, because it is less than 90 degrees.

Answer:

1. Acute 2. Obtuse 3. Acute

Step-by-step explanation:

1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.

Answer:

[tex]\orange{ \rule{100pt}{999999pt}}[/tex]

Using the slope concept, it is found that the rarmp will rise 12.4 inches at it's highest end.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the horizontal change is of 34 inches with an angle of 20º, hence:

[tex]\tan{20^\circ} = \frac{h}{34}[/tex]

h = 34 x tan(20º)

h = 12.4.

The rarmp will rise 12.4 inches at it's highest end.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:I just got it wrong the answer is 11.6

Step-by-step explanation:

Answer:

its Y (bottom left graph)

Step-by-step explanation:

i graphed the function on desmos and matched it

Answer:

Below in bold.

Step-by-step explanation:

x /18 = 12/10

10x = 18*12

x = 216/ 10

= 21.6.

10/w = 18/24

10/w =  3/4

3w = 40

w = 40/3 =  13 33   to the neaest hundredth.

Answer:

33 Is your answer :)

Step-by-step explanation:

Always do P.E.M.D.A.S ( always go in order it gives you) parenthesis, exponets, multiply/divide, and add/subtract

5^3+6*3=

15+18= 33