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3 years ago

See attachment below and find the equivalent of tan(∠QSR)

Mathematics

2 answers:

solmaris [256]3 years ago

7 0

I hope this helps you

Charra [1.4K]3 years ago

7 0

Answer:

$tan QSR = tan 30 \\=\frac{1}{\sqrt{3} }$

Step-by-step explanation:

Given in the attachment is a picture of a triangle with sides QR, RS and QS

The triangle is right angles at R

One exterior angle QST is given as 150 degrees.

Angle QSR is the linear pair of QST

Hence QSR and QST are supplementary

i.e. Angle QSR = 30 degrees

$tan QSR = tan 30 \\=\frac{1}{\sqrt{3} }$

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45+ 46+47+ 48+ ... 113 + 114Gauss approach

Doss [256]

Answer:

$5565$

Step-by-step explanation:

$1+2+3+4...+113+114=\frac{114*115}{2} =6555$

$1+2+3+4 ... +43+44=\frac{44*45}{2} =990$

Thus, $45+46+47+48...+113+114=$ $6555-990=5565$

3 0

3 years ago

Pleasee help(GIVING BRAINILEST) Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explo

salantis [7]

Not exactly sure if I’m right but

1. $56 < $60

2. $60 - $36 = $24/4 hours = 6.

36+24 = 60, we want to use LESS than 60 so we use see how much it’ll take to spend 5 hours for parking.

5 x $4 = $20.

$36 + $20 = $56

I’m not exactly sure though...

6 0

2 years ago

Read 2 more answers

Can someone please explain how to do these?

Pani-rosa [81]

Answer:

First question answer: The limit is 69

Second question answer: The limit is 5

Step-by-step explanation:

For the first limit, plug in $x=8$ in the expression $(9x-3)$ , that's the answer for linear equations and limits.

So we have:

$9x-3\\9(8)-3\\72-3\\69$

The answer is 69

For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value $x=1$ into the simplified expression to get the correct answer. Shown below:

$\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}$

Now putting 1 in $x$ gives us the limit:

$\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5$

So the answer is 5

3 0

3 years ago

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the larg

katovenus [111]

Problema Solution

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Answer provided by our tutors

Make a drawing and denote:

x = half of the length of the enclosure

2x = the length of the enclosure

y = the width of the enclosure

P = 800 ft the perimeter

The perimeter of the two enclosures can be expressed P = 4x + 2y thus

4x + 3y = 800

Solving for y:

........

click here to see all the equation solution steps

........

y = 800/3 - 4x/3

The area of the two enclosure is A = 2xy.

Substituting y = 800/3 - 4x/3 in A = 2xy we get

A = 2x(800/3 - 4x/3)

A =1600x/3 - 8x^2/3

We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum:

x max = -b/2a, a = (-8/3), b = 1600/3

x max = (-1600/3)/(2*(-8/3))

x max = 100 ft

y = 800/3 - 4*100/3

y = 133.33 ft

2x = 2*100

2x = 200 ft

3 0

3 years ago

The time, t, required to complete a job

tigry1 [53]

Answer:

19 hrs

Step-by-step explanation:

t varies inversely with number of people p

t = k/p

If it takes 7.125 hrs for 8 workers to do the job

K = tp

= 7. 125 x 8

= 57

How many hours will it take if there are 3 workers .

Recall t = k/p

t = 57/3

= 19 hrs

Therefore, It’ll take 19 hrs to Complete the job if there are only three workers.

3 0

3 years ago