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Makovka662 [10]
2 years ago
13

Question 5 (Essay Worth 5 points)

Mathematics
1 answer:
omeli [17]2 years ago
4 0

Answer: 266.7 sq feet


Step-by-step explanation:

Given scale is 1:40 which means 1 inch of rectangle drawn= 40 inches

The length of the room = 40\times6=240\ inches

The width of the room= 40\times4=160\ inches

Now, the area of the rectangular room = length \times width

⇒ The area of the rectangular room=240\times160=38400\ sq\ inches

Also 1 inch=\frac{1}{12}\ feet

Therefore, the area of the rectangular room=\frac{38400}{12\times12}=266.666\approx266.7\ sq feet

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Rewrite each expression as a polynomial in standard form.a)(x+i)(x-i)b)(x+5i)(x-5i)
Nitella [24]

Answer:

a) x² +1

b) x² +25

Step-by-step explanation:

a) (x+i)(x− i)

   = x² - ( i ) x + ( i ) x - ( i)²

   = x² -  i²                       ∵ i² = -1

   = x² -  (-1)

   = x² +1

b) (x+5 i)(x− 5i)

 = x² - ( 5 i ) x + ( 5 i ) x - ( 5 i)²

   = x² - 25 i²                       ∵ i² = -1

   = x² -  25(-1)

   = x² +25

we can also solve

using identity

   (a + b)(a - b) = a² - b²

   = (x+5 i)(x− 5i)    

   = x² - (5 i)²

   = x² - 25 i²

   = x² +25

8 0
3 years ago
Plz answer..........
Jobisdone [24]

Answer:

2210.6 m^3

Step-by-step explanation:

Volume of a cylinder is \pi r^2h

V=(3.14)(8)^2(11)\\\\=(3.14)(64)(11)\\\\=2210.56

they want to the nearest tenth, so ≈ 2210.6

6 0
2 years ago
Find a 20 given that a 3 = 9 and a 8 = 24
Nimfa-mama [501]

Answer:

<u>a₂₀ = 60</u>

Step-by-step explanation:

<u>Given :-</u>

a₃ = 9

a₈ = 24

<u>To find :-</u>

a₂₀

<u>Solving :-</u>

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

<u>Final answer :-</u>

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

<u>a₂₀ = 60</u>

8 0
1 year ago
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
IrinaK [193]

Answer:

D

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is equivalent to 5(6×+3y)
meriva

Answer:

   3*y/5-(6)=0

Step-by-step explanation:

           y

Simplify   —

           5

Equation at the end of step  1  :

      y      

 (3 • —) -  6  = 0  

      5      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        6     6 • 5

   6 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3y - (6 • 5)     3y - 30

————————————  =  ———————

     5              5    

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3y - 30  =   3 • (y - 10)  

Equation at the end of step  3  :

 3 • (y - 10)

 ————————————  = 0  

      5      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(y-10)

 ———————— • 5 = 0 • 5

    5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (y-10)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

8 0
3 years ago
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