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3 years ago

Help ASAP!!

Mathematics

1 answer:

VMariaS [17]3 years ago

7 0

Answer:All answers are to 2 decimal places for accuracy.

1. Width is 27.71"

2. TV Size is 69.84"

3. Width is 51.96"

4. TV Size is 40.13"

5. Height is 26.06"

Part 1: Diagonal is 61.91"

Part 2: Diagonal is 60.21"

Step-by-step explanation:

You might be interested in

Find a number in the closed interval [1/2,3/2] such that the sum of the number and its reciprocal is

sattari [20]

Let's assume that number as x

so,

the sum of the number and its reciprocal is

$S(x)=x+\frac{1}{x}$

Firstly, we will find derivative

$S'(x)=1-\frac{1}{x^2}$

now, we can set it to 0

and then we can solve for x

$S'(x)=1-\frac{1}{x^2}=0$

$x=-1,x=1$

Since, only x=1 lies on [1/2,3/2]

so, we will consider only x=1

now, we can plug end values and x=1 into S

At x=1/2:

we can plug x=1/2

$S(\frac{1}{2})=\frac{1}{2} +\frac{1}{\frac{1}{2}}$

$S(\frac{1}{2})=\frac{1}{2} +2$

$S(\frac{1}{2})=\frac{5}{2}$

At x=1:

we can plug x=1

$S(1)=1 +\frac{1}{1}$

$S(1)=1 +1$

$S(1)=2$

At x=3/2:

we can plug x=3/2

$S(\frac{3}{2})=\frac{3}{2} +\frac{1}{\frac{3}{2}}$

$S(\frac{3}{2})=\frac{3}{2} +\frac{2}{3}$

$S(\frac{3}{2})=\frac{13}{6}$

(a)

Smallest value:

The smallest value among them

$S(1)=2$

So, a number is 1..........Answer

(b)

Largest value:

The largest value among them

$S(\frac{1}{2})=\frac{5}{2}$

So, a number is $\frac{1}{2}$ ........Answer

6 0

4 years ago

What is a num between 234,457.7 and 234,457.8.

antoniya [11.8K]

234,457.71
234,457.72
234,457.73
234,457.74
234,457.75
234,457.76
234,457.77
234,457.78
234,457.79

6 0

3 years ago

general admission tickets to the fair cost $3 per person ride passes cost an additional $5 per person parking tickets cost 7 dol

chubhunter [2.5K]

Answer:

5 people attended the fair.

Step-by-step explanation:

The parking tickets were 7 for the whole fam. You can subtract that off to get you $40. Each person cost $3+$5=$8. 40/8=5.

Hope this helps!

8 0

3 years ago

What is the mode of 49,41,46,28,33,47,29,27,47,52,32

arsen [322]

47 is the mode in the set.

The mean is 38

Median 41

7 0

4 years ago

Read 2 more answers

You own a motel and have a pricing structure that encourages rentals of rooms in groups.

zheka24 [161]

Answer:

$41

Step-by-step explanation:

One room rents for $68,
Two rooms for $65 each,
In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.

So,

$a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...$

where $a_n$ is the rate per nth room rented.

This is an arithmetic sequence, so

$a_n=a_1+(n-1)\cdot d$

In your case,

$a_1=68\\ \\n=10\\ \\d=-3$

Hence

$a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41$

This means if a group rents 10 rooms, the charge per room is $41.

5 0

3 years ago