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fiasKO [112]
3 years ago
13

Most staircases in use today have 9−inch treads and 8 12 −inch risers. What is the slope of a staircase with these measurements?

Give your answer as a fraction or rounded to four decimal places, if necessary
Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

The value is  m  = 0.9022

Step-by-step explanation:

From the question we are told that

    The length of the treads is  a =  9 \  inch

     The length of the risers is  b  =  8.12 \  inch

Generally the slope of the staircase is

         m  =  \frac{b}{a}

=>       m  =  \frac{8.12}{9}

=>       m  = 0.9022

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Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters
Naily [24]

Answer:

Length = 29 m

Width = 29 m

Step-by-step explanation:

Let x and y be the length and width of the rectangle, respectively.

The area and perimeter are given by:

A=xy\\p=116=2x+2y\\y=58-x

Rewriting the area as a function of x:

A(x) = x(58-x)\\A(x) = 58x-x^2

The value of x for which the derivate of the area function is zero, is the length that maximizes the area:

A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m

The value of y is:

y = 58-29\\y=29\ m

Length = 29 m

Width = 29 m

4 0
3 years ago
pls hurry what is the area if the parallelogram that has a base of 10 cm longer and a height of 7 inches taller than the paralle
Len [333]

Answer:

Area=bh

10.5 in^2 =(3/4 in) (h in)

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7 0
3 years ago
Can someone please help me with this
UkoKoshka [18]

Answer:

ABC = 113°

Step-by-step explanation:

If ABD is 70° and DBC is 43°

ABC is 70°+43° = 113°

6 0
3 years ago
Simplify the one step equation
MAVERICK [17]
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the answer to the question
5 0
3 years ago
John needs to produce a scale diagram of a bedroom using a scale of 1:40. The length of the room is 3.4 metres. What is the leng
Varvara68 [4.7K]

Answer:

8.5cm

Step-by-step explanation:

convert 3.4metres to cm that is by multiplying by 100

3.4×100=340cm

1rep 40

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5 0
3 years ago
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