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3 years ago

The last line of a proof represents the given information. the argument. the conclusion. the assumptions.

Mathematics

2 answers:

aleksandrvk [35]3 years ago

8 0

<h2>Answer:</h2>

The last line of a proof represents:

The conclusion.

<h2>Step-by-step explanation:</h2>

While proving an argument or a statement we proceed in the following steps--

Firstly we write the condition or the statement that are given to us.

Then we write the argument that is to be proven i.e. we could provide it with a heading as To prove-- (Argument)

Then we use certain axioms or corollaries or previous theorems in order to proceed the proof.

At the last i.e. in the last line of the proof represents the conclusion.

Hence, the correct answer is:

Conclusion.

guajiro [1.7K]3 years ago

4 0

The last line of a proof represents <span>the conclusion. The correct option among all the options that are given in the question is the third option or the penultimate option. The other choices can be easily neglected. I hope that this is the answer that has actually come to your desired help.</span>

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an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

3 years ago

To measure a stone face carved on the side of a mountain, two sightings 900 feet from the base of the mountain are taken. If th

olga nikolaevna [1]

Answer:

Height of the stone face = 66.29 feet

Step-by-step explanation:

Refer the given figure, here we need to find height of the stone face,

Height of the stone face = CD

CD = AD - AC

In ΔABC we have

$tan31=\frac{AC}{AB}\\\\tan31=\frac{AC}{900}\\\\AC=540.77feet$

In ΔABD we have

$tan34=\frac{AD}{AB}\\\\tan34=\frac{AD}{900}\\\\AD=607.06feet$

CD = AD - AC = 607.06 - 540.77 = 66.29 feet

Height of the stone face = CD = 66.29 feet

7 0

3 years ago

I need help please and thank you so much

nikitadnepr [17]

Answer: first choice

Step-by-step explanation

F= v+at

-v=-v

F-v=at

Divide by t

F-V/t= a

6 0

3 years ago

21 is 84 percent of what number

marysya [2.9K]

Let the required no. be x then according to question
(84/100)*x = 21
x = 21*(100/84)
x = 2100/84
x = 25

hence the required no. is 25

hope it helped

5 0

3 years ago

Find the equation of the line with a slope of 4 that goes through the following point: (6,2)

Rasek [7]

Answer:

y=4x-22

Step-by-step explanation:

4 0

2 years ago