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sergey [27]
3 years ago
14

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

s.
Two students are told that the perimeter of this rectangle is at least 30 inches. The first student says, "The length of the long side must be at least 13 inches". The second student says, "The unknown number must be at least 10 inches". Which of the following statements is true?

The first student is correct.
The second student is correct.
Both students are correct.
Neither student is correct.
Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0
First student is correct. explanation: 2+2+13+13=30, if the perimeter has to be at least 30 13 is the option that adds up to it.
Delicious77 [7]3 years ago
5 0
The first student is correct because 30-4=26
26 divided by 2=13 hope this helps :)
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a boutique handmade umbrella factory currently sells 22500 umbrellas per year at a cost of 9 dollars each. in the previous year
sergij07 [2.7K]

Answer:

The maximum revenue of the two years is $ 394,500 .

Step-by-step explanation:

Given as :

The current number of selling of umbrellas = 22500

The price of each umbrellas = $ 9

So, The Total price of 22500 umbrellas at $ 9 per umbrellas = $ 9 × 22500

I.e The Total price of 22500 umbrellas at $ 9 per umbrellas = $ 202,500

Again ,

The total number of umbrellas sold previous year = 12000

The price of umbrellas = $ 16

So, The Total price of 12000 umbrellas at $ 16 per umbrellas = $ 16 × 12000

I.e The Total price of 12000 umbrellas at $ 16 per umbrellas = $ 192,000

So, The maximum revenue of the two years = $ 202,500 + $ 192,000

I.e The maximum revenue of the two years = $ 394,500

Hence The maximum revenue of the two years is $ 394,500 . Answer

3 0
3 years ago
In Circle O, centrally angle AOB measures π/3 radians.What is the length of arc AB?
Oksanka [162]

Answer:

s=r*\pi /3

Step-by-step explanation:

The length of any arc is calculated using the following equation:

s = r*θ

Where s is the length of the arc, r is the radius of the circle and θ is the angle in radians.

So, if we have a Circle O and a centrally angle AOB that measures π/3 radians, the value of the length of arc AB is calculated as:

s=r*\pi /3

Where r is the radius of the circle O.

5 0
3 years ago
What is the solution set of the following equation? 6x^2 = 13x + 5
fiasKO [112]

Answer:

2nd

Step-by-step explanation:

using the quadric formula

- ( - 13) +  -  \sqrt{( - 3) {}^{2} - 4 \times 6( - 5) }   \div 2 \times 6

do the math and you get the second one.

{-1/3,5/2}

6 0
3 years ago
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. In y
bekas [8.4K]
F(x) = 2^x; h(x) = x^3 + x + 8

Table


x      f(x) =  2^x             h(x) = x^3 + x + 8

0      2^0 = 1                0  + 0 + 8 = 8

1     2^1 = 2                 1^3 + 1 + 8 = 10

2      2^2 = 4                2^3 + 2 + 8 = 8 + 2 + 8 = 18

3      2^3 = 8                3^3  + 3 + 8 = 27 + 3 + 8 = 38

4      2^2 = 16              4^3 + 4 + 8 = 76

10    2^10 = 1024       10^3  +10 + 8 = 1018

 9      2^9 =   512        9^3 + 9 + 8 = 729 + 9 + 8 = 746

Answer: an approximate value of 10
7 0
3 years ago
Find the missing value. Show your work. Round to the nearest hundredth. SOMEONE PLEASE HELP ME W THIS ! ILL VOTE BRAINIEST ANSWE
Olenka [21]
Since the side which measures 10 is a vertical projection of the hipotenuse x on a 20 degree angle:

10 = x*sin(20°)

x = 29.238044

Since we have to round to the nearest hundreth:

x = 29.24 m


8 0
3 years ago
Read 2 more answers
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