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kicyunya [14]
3 years ago
7

an airplane can ascend a rate of 53 1/2 meters in 2/3 of a second. how many meters can the airplane ascend in one second

Mathematics
1 answer:
nalin [4]3 years ago
8 0
107 meters pretty sure anyway

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The room and the hallway shown in the floor plan below have different dimension but the same area. Find value of w.
nordsb [41]
Check the picture below

if their areas are equal then A =A or
(3w)(w-2) = (w+1)(w)

solve for "w"

7 0
2 years ago
7.8x = 32.76<br><br><br> Show your work
castortr0y [4]

Answer:

x=4.2

Step-by-step explanation:

7.8x  =   32.76

/7.8          /7.8

x=4.2

6 0
2 years ago
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
Given: f(x)=x^(2)-3 and g(x)=x+1 the composite function g*f is
Ivenika [448]

Answer:

<h2>x³ + x² - 3x - 3</h2>

Step-by-step explanation:

I'm assuming g*f means g times f,  so you want to multiply the two functions together.  

(x² - 3)(x + 1)                 Since the product is 2 binomials, use FOIL

                      =  x²(x) + x²(1) - 3(x) - 3(1)

which simplifies to

<h2>x³ + x² - 3x - 3</h2>
8 0
3 years ago
Read 2 more answers
The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
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