If f(x) = -X^3+3x+2. Find f(-1).

a sculpture is formed from a cylinder resting on top of a cuboid. the cylinder has a radius 40cm and height 70cm. the cuboid mea

frosja888 [35]

<u>Answer-</u>

$\boxed{\boxed{\text{Mass}=10.0447256\ ton}}$

<u>Solution-</u>

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be $=80\times80\times140=896000$ cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be $\pi r^2h=\pi\times40^2\times70=351792$ cm³

Total volume,

$V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3$

As we know,

$\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}$

$\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}$

$\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g$

$\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton$

8 0

3 years ago

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0

3 years ago

In triangle ABC shown below, side AB is 6 and side AC is 4:

sveticcg [70]

To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>

Dilation is the increase or decrease in the size of a figure.

To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

5 0

1 year ago

What is the value of i^n in if the remainder of n/4 is 2?

LekaFEV [45]

The value of ${i^n}$ is $\boxed{ - 1}$ if the remainder of $\dfrac{n}{4}$ is 2.

Further Explanation:

Given:

The remainder of $\dfrac{n}{4}$ is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

$\boxed{z = a + ib}$

Here, a is the real part of the complex number and $\text{ib}$ is the imaginary part of the complex number.

$\sqrt{ - 1}$ can be denoted by i.

The value of ${i^2}$ is -1.

${i^2} = - 1$

The value ${i^3}$ can be obtained as follows,

$\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}$

The value ${i^4}$ can be obtained as follows,

$\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}$

The value of ${i^n}$ is $\boxed{ - 1}$ if the remainder of $\dfrac{n}{4}$ is $2$ .

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, $i^ n$ , remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.

5 0

2 years ago

Read 2 more answers

Help me Guess just help please

Andrew [12]

Answer:

maybe 2 only?

Step-by-step explanation:

I'm just guessing but it sounds right

7 0

3 years ago

Read 2 more answers