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ankoles [38]
1 year ago
13

Evaluate the expression. 6^3

Mathematics
1 answer:
solong [7]1 year ago
3 0
The answer for this equation is 216 because 6x6x6 is 216
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I really need help on this it’s really urgent.<br> Thank you :)
Flauer [41]

Answer:

Step-by-step explanation:

-\frac{1}{3}y - \frac{1}{3} x

6 0
2 years ago
100%
creativ13 [48]

Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Aspherical balloon has a radius of 6 feet, hence the volume is:

V = \frac{4\pi 6^3}{3} = 905

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:

V(t) = 0.8(905) - 30t

V(t) = 724 - 30t

It will be completely empty when:

V(t) = 0

724 - 30t = 0

30t = 724

t = \frac{724}{30}

t = 24.1

Rounding, it will take 24 hours for the balloon to become completely empty.

More can be learned about the volume of a sphere at brainly.com/question/25608353

7 0
1 year ago
In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?
erica [24]

In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?

Answer:

BD = c*sin(A)

BD = c*cos(B)

BD = b*tan(A)

Step-by-step explanation:

∆ABD is a right triangle.

Recall: trigonometric ratios of any right triangle can easily be understood or remembered with the acronym, SOHCAHTOA.

SOH => sin(θ) = opposite/hypotenuse

CAH => Cos(θ) = adjacent/hypotenuse

TOA = tan(θ) = opposite/adjacent

Thus, the length of segment BD, in terms of trigonometric ratios for ∆ABD can be done as follows:

Let BD = x

AB = c

AD = b

=>The sine ratio for the length of line segment BD = x, using SOH.

θ = A

Opposite = DB = x

hypotenuse = AB = c

sin(A) = \frac{x}{c}

Make x the subject of formula.

c*sin(A) = x

BD = x = c*sin(A)

=>The Cosine ratio for the length of line segment BD = x, using CAH

θ = B

Adjacent = DB = x

hypotenuse = AB = c

cos(B) = \frac{x}{c}

Make x the subject of formula.

c*cos(B) = x

BD = x = c*cos(B)

=>The Tangent ratio for the length of line segment BD = x, using TOA

θ = A

Adjacent = DB = x

hypotenuse = AD = b

tan(A) = \frac{x}{b}

Make x the subject of formula.

b*tan(A) = x

BD = x = b*tan(A)

5 0
3 years ago
What is the final amount if 1920 is increased by 5% followed by a further 15% increase? Give your answer rounded to 2 DP.
Monica [59]

2318.4 is the correct wander

7 0
3 years ago
John is mixing nuts and raisins to sell at the school store. Nuts are sold in 4 pound packages and raisins are sold in 1 pound p
RideAnS [48]

Answer:

Why won't the shrimp share it's treasure?

Step-by-step explanation:

because it's shellfish

What do you call a shoe make out of a banana?

A slipper

6 0
2 years ago
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