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3 years ago

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

3- False,
4- True

Step-by-step explanation:

<h3>Garden A</h3>

<u>Rectangle with sides</u>

Width ⇒ 2x - 3 feet
Length ⇒ 5(2x - 3) = 10x - 15

<u>Perimeter is</u>

2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36

<h3>Garden B</h3>

<u>Triangle with sides</u>

5x + 5, 4x + 2, 8x - 8

<u>Perimeter is</u>

5x + 5 + 4x + 2 + 8x - 8 = 17x - 1

<h3>Statement 3</h3>

<u>The difference in perimeters is the difference is fencing:</u>

24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35

Since it is different from 7x - 37 the statement is FALSE

<h3>Statement 4</h3>

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

<u>So the perimeter is going to be:</u>

24x - 36 + 20 =
24x - 16

This statement is TRUE

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I need help proving this ASAP

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Answer:

See explanation

Step-by-step explanation:

We want to show that:

$\tan(x + \frac{3\pi}{2} ) = - \cot \: x$

One way is to use the basic double angle formula:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) \cos( \frac{3\pi}{2} ) + \cos(x) \sin( \frac{3\pi}{2}) }{\cos(x) \cos( \frac{3\pi}{2} ) - \sin(x) \sin( \frac{3\pi}{2}) }$

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) ( 0) + \cos(x) ( - 1) }{\cos(x) (0) - \sin(x) ( - 1) }$

We simplify further to get:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ 0 - \cos(x) }{0 + \sin(x) }$

We simplify again to get;

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{- \cos(x) }{ \sin(x) }$

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$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = - \cot(x)$

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3 years ago

Does this set of ordered pairs represent a function? Why or why not. Don’t need a step to step just the answer

Scrat [10]

Answer:

D. Yes,because every x-value corresponds to exactly one y-value.

Step-by-step explanation:

The given ordered pairs are;

{ $(-5,-5),(-1,-2),(0,-2),(3,7),(8,9)$ }

We do not have the same x-value corresponding to more than one y-value.

We can see from the ordered pairs that every x-value corresponds to exactly one y-value.

Therefore the graph of this relation will pass the vertical line test.

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3 years ago

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Who became president after the 1876 presidential election?<br> Nfnf

REY [17]

Answer:

Rutherford B. Hayes

Step-by-step explanation:

It was controversial, however Hayes was declared the winner of the election.

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3 years ago

Mai and Tyler work on the equation 2/5b+1=-11 together. Mais soulution is b=-25 and Tyler’s is b=-28. Here is their work. Do you

Anika [276]

Answer:

No I don't agree with their solution; both their answers are wrong.

Correct answer is $b=-30$ .

Step-by-step explanation:

Given:

$\frac{2}{5}b+1=-11$

Now given:

According to Mai $b = -25$ and According to Tyler $b = -28$

Now we need to find which of them is correct.

So we will solve the given equation we get;

$\frac{2}{5}b+1=-11$

Subtracting both side by 1 we get;

$\frac{2}{5}b+1-1=-11-1\\\\\frac{2}{5}b =-12$

Now Multiplying both side $\frac{5}{2}$ we get;

$\frac{2}{5}b\times\frac{5}{2}= -12 \times \frac{5}{2}\\\\b=-6\times 5\\\\b=-30$

Hence both of them are incorrect, correct answer is $b=-30$ .

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3 years ago

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GarryVolchara [31]

Answer:

v= 17

Step-by-step explanation:

Start with the given equation.

19v – 18 = 16 + 17v

Move -18 to the other side, and swap it's sign.

19v = 16 + 18 + 17v

Move 17v to the other side and swap it's sign.

19v - 17v = 16 + 18

Combine like terms.

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Divide by 2v.

v = 17

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3 years ago

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