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Elanso [62]
3 years ago
13

Please help !!!! for 45 POINTS

Mathematics
1 answer:
solniwko [45]3 years ago
3 0
Two sides are: x+2 and x+4
(x+2)(x+4) = x² + 6x + 8

volume = 2x³ + 17x² + 46x + 40

third side = (2x³ + 17x² + 46x + 40) ÷ (x² + 6x + 8) = 2x + 5
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A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy
DedPeter [7]

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ tan(\phi) = \frac{opposite}{hypotenuse}

⇒  tan(\phi) = \frac{324}{54}

⇒ (\phi) = tan^-^1(\frac{324}{54})

⇒ \phi=80.53

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

7 0
3 years ago
The table shows the weights of onions at a grocery store.
zmey [24]

Answer:

Formula: 0.12x = y

Step-by-step explanation:

5 × 0.12 = 0.60

3 × 0.12 = 0.36

14 × 0.12 1.68

4 0
3 years ago
A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a
kkurt [141]

Answer:

b=h=\sqrt{6} m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box=2b^2+4bh

2b^2+4bh=36

b^2+2bh=18

2bh=18-b^2

h=\frac{18-b^2}{2b}

Volume of box, V=b^2h

Substitute the values

V=b^2\times \frac{18-b^2}{2b}

V=\frac{1}{2}(18b-b^3)

Differentiate w. r.t b

\frac{dV}{db}=\frac{1}{2}(18-3b^2)

\frac{dV}{db}=0

\frac{1}{2}(18-3b^2)=0

\implies 18-3b^2=0

\implies 3b^2=18

b^2=6

b=\pm \sqrt{6}

b=\sqrt{6}

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

\frac{d^2V}{db^2}=-3b

At  b=\sqrt{6}

\frac{d^2V}{db^2}=-3\sqrt{6}

Hence, the volume of box is maximum at b=\sqrt{6}.

h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}

h=\frac{18-6}{2\sqrt{6}}

h=\frac{12}{2\sqrt{6}}

h=\sqrt{6}

b=h=\sqrt{6} m

7 0
3 years ago
1. What is the reason for Statement 3 of the two-column proof?
OLEGan [10]

1. Angle addition postulate (this could be wrong)

2. Definition of bisect

3. Definition and postulate

4. Screenshot at the bottom

Last one I can't help, my bad.

3 0
3 years ago
Read 2 more answers
What the polynomial in standard form of (X-3)(X-4)=
Anna007 [38]

Answer:X^2-7x-12

Step-by-step explanation:

That’s how it is

4 0
3 years ago
Read 2 more answers
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