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ki77a [65]
2 years ago
10

Solve the word problems. Round the answer to the nearest tenth.

Mathematics
1 answer:
damaskus [11]2 years ago
4 0

Option A:

The shortest distance Mark can cover to reach home early is 54.7 miles.

Solution:

Towards North  = 35 miles

Towards West = 42 miles

Using Pythagoras theorem,

<em>In right triangle, squares of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

Let x be the hypotenuse.

x^2=35^2+42^2

x^2=1225+1764

x^2=2989

Taking square root on both sides, we get

\sqrt{x^2}=\sqrt {2989}

x = 54.67

x = 54.7

The shortest distance Mark can cover to reach home early is 54.7 miles.

Option A is the correct answer.

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I need help with this and fast if possible
11Alexandr11 [23.1K]

Answer:

<em>The answer is Hence Proved</em>

Step-by-step explanation:

       Given that CB║ED ,  CB ≅ ED

       To prove Δ CBF ≅ Δ EDF

  •       CB ≅ ED   ( Given )

        This means that the length of CB is equal to ED

        As CB║ED The following conditions satisfies when a transversal cut

        two parallel lines

  •    ∠ EDF = ∠ FBC   ( Alternate interior points )
  •    ∠ DEF = ∠ FCB   ( Alternate interior points )

       ∴ Δ CBF ≅ Δ EDF    ( By ASA criterion)

        The Δ CBF is congruent to Δ EDF By ASA criterion .

    <em>    Hence proved </em>

6 0
3 years ago
Given the right triangle shown below.if Cos A =15/17 and tan A=8/15 which of the following represents the length of BC
otez555 [7]

Answer:

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

Step-by-step explanation:

Given:

Consider a right triangle ABC, Such that

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC, Cosine and Tangent identity

\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}

BUT,

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15} ....Given

On Comparing,

Adjacent side to angle A = AB = 15

Opposite side to angle A = BC = 8

Hypotenuse = AC =17

Also Pythagoras theorem is Satisfies,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

(\textrm{Hypotenuse})^{2} = 17^{2}=289

(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

7 0
3 years ago
Which equation is not a linear function?<br> y = x-2<br> y = 2x<br> y = x2<br> y = x + 2
lora16 [44]
As they are written, they are all linear. I think you meant for the third one to be y=x^2. if that is true then y=x^2 is a quadratic and therefore is the answer
8 0
2 years ago
Can you please answer these 2 questions? Thx
tamaranim1 [39]
What exactly is the question I need to answer
5 0
3 years ago
What if violation of the civil rights of a minority increases the sum total of pleasure pf the majority?
shutvik [7]

Answer:

The question that you have posed is rather interesting. However, it indicates a misunderstanding of the nature of civil/human rights as they are currently framed.

Step-by-step explanation:

The key thing to recall is that human and civil rights are, for the most part, individual rights, as opposed to group/societal rights. See, for example, the USA Bill of Rights, European Convention on Human Rights, Universal Declaration, and the International Covenant on Civil and Political Rights. Therefore, there is no greater societal sum equation to assess when looking at high rights. Indeed, individuals from minorities are often given special protections within human rights treaties/regimes.

However, it should not be forgotten that many rights are not inalienable, for example the right to family life, or freedom of expression. In these instances the right may be legitimately violated, if, on balance it is required to protect another individuals human right (note that it's individual as opposed to societal), or if it is deemed proportionate to violate that right (eg, to detain an individual because they have breached a provision of criminal law). But, it must be noted that this has nothing to do with minorities or majorities.

The often cited reason for this formulation is that the majority of the human rights treaties mentioned above emerged following the atrocities of the Second World War. In this regard, it must be recalled that one of the underlying philosophical beliefs of he Nazi regime related to the greater good of society, with it being perfectly permissible to violate the rights of one in order to further the welfare of others.

8 0
3 years ago
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