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3 years ago

The formula for the volume of a cube is V=s3 where V is the volume and s is the length of a side solve the formula for s

Mathematics

2 answers:

Evgen [1.6K]3 years ago

5 0

Answer:

$s = \sqrt[3]{v}$

xxTIMURxx [149]3 years ago

3 0

Answer:

the fourth choice

Step-by-step explanation:

cubic root both sides

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What is the leading coefficient of the polynomial?<br><br> 12 − 6x3 − 9x2 − 15x

oksian1 [2.3K]

The Leading Coefficient Of The Polynomial Is -6

4 0

4 years ago

Read 2 more answers

Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.

zvonat [6]

Answer:

13. x = 52.8°

14. 663.65 ft

15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

x° = arctan(2.5/1.9) ≈ 52.8°

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

Tan = Opposite/Adjacent

tan(11°) = (129 ft)/(distance to shore)

distance to shore = (129 ft)/tan(11°)

distance to shore ≈ 663.65 ft

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

Sin = Opposite/Hypotenuse

sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

ladder length ≈ 30.7 ft

3 0

2 years ago

Simplify the product. (5 − 6)(2 + 7)

Nat2105 [25]

5 - 6 = -1
2 + 7 = 9
-1 × 9 = -9

-9 would be the simplified answer.

Hope this helps!

8 0

3 years ago

If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$