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juin [17]
3 years ago
15

Captain Two-Pegs is going to load his pirate ship with cannons. He has room for 10 cannons. He has allotted for 111 pounds of ca

nnon on his ship. He can choose from 9-pound cannons (the variable n) or 12-pound cannons (the variable t). Which equations would be a constraint to Captain Two-Pegs maximizing his cannon load?
(a) n - t = 10
(b) n = 10 + t
(c) 9n = 111 - 12t
(d) 9n = 111 + 12t
Mathematics
2 answers:
mr_godi [17]3 years ago
6 0
9n + 12t = 111
9n = 111 - 12t
stepan [7]3 years ago
3 0

Answer:

C. 9n=111-12t

Step-by-step explanation:

Let us assume that,

n is the number of 9-pound cannons and,

t is the number of 12-pound canons.

As captain Two-Pegs has room for 10 cannons, so

n+t=10 ---------------------------1

He has allotted for 111 pounds of cannon on his ship, so

9n+12t=111    -------------------2

i.e 9n=111-12t

Therefore, option 3 is the equations that would be a constraint to Captain Two-Pegs maximizing his cannon load.


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Step-by-step explanation:

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4 0
3 years ago
There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant
Serjik [45]
We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)

Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft

Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
8 0
3 years ago
In the quotation in lines 61-64, George Will
nexus9112 [7]

The correct answer is option e) the extent to which a cloned person might differ from the original person.

In the quotation in lines 61-64, George Will primarily draws attention to the extent to which a cloned person might differ from the original person.

What is human(person) cloning?

Human cloning is the process of creating a genetically identical replica of a human (or clone).

The phrase is most commonly used to refer to artificial human cloning, or the replication of human cells and tissue. It does not relate to identical twins being conceived and delivered naturally.

The prospect of human cloning has sparked debate. Because of these ethical considerations, numerous countries have passed laws prohibiting human cloning.

Therapeutic cloning and reproductive cloning are the two most widely discussed kinds of human cloning. Therapeutic cloning would include cloning human cells for use in medicine and transplantation.

Context of lines 61-64

Satan is disoriented in a completely black pool of fire. Beelzebub, Satan's second-in-command, stands next to him. Satan addresses him and laments their current situation.

Satan advises them to flee the flaming lake and seek refuge on a distant beach. Beelzebub requests that Satan assemble his soldiers. Satan dons his armor and summons his armies to join him on land.

He addresses his troops and vows to continue his battle against God. The demons use their superhuman abilities to build Pandemonium, a huge temple for meetings.

EXPLANATION

The poet depicts the classic landscape of Hell in these verses. After their rebellion against God, Satan and his minions were hurled down from Heaven to Hell.

For nine days, they lay comatose in Hell's burning lake. When they regain consciousness, Satan notices that the location in which they are imprisoned is a horrifying, circular, and burning dungeon like a large furnace.

This analogy vividly conjures up the image of Hell's lake. Satan notes that there is fire but no light in Hell; it is complete darkness, complete darkness, without any residue, mixture, or prospect of light.

It will always be the blackness of darkness. The poet here employs the universal symbolism of light and dark to represent good and evil.

Satan, as Lucifer, was the brightest of all the angels before his fall; as he grows progressively more evil after his fall, he eventually loses all of his brightness.

Satan comes to the conclusion that the fires will never go out and the pain will never cease. In essence, the poet's description of Hell in these verses is a horrifying, scorching, and murky realm of sorrow and pain.

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brainly.com/question/4736686

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4 0
1 year ago
Write as a fraction <br>3÷151​
stepan [7]

Answer:

3/151

Step-by-step explanation:

That's the answer

3 0
2 years ago
Read 2 more answers
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