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umka21 [38]
3 years ago
8

John wants to put tiles in his kitchen. The room is rectangular and measures 20 ft. by 10 ft. If tiles cost $2.50 per square fee

t, how much will it cost John to tile his kitchen?
Mathematics
1 answer:
Ber [7]3 years ago
8 0
First we need to find out the area of the rectangular kitchen room.
Length of room is 20 ft and width is 10 ft.

So, area of rectangle = 20 x 10 = 200 ft²

The tiles costs $2.50 per square feet. Since the total area is 200 square feet, the total cost will be:

Total cost = Cost of tile per square feet x Total area
Total cost = 2.5 x 200
Total cost = $500

Thus, it will cost John $500 to tile his kitchen
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Find the slope of the curve below at the given points. Sketch the curve along with its tangents at these points. R = sin 2 theta
mr Goodwill [35]

Answer:

<u>    </u><u>-1     </u>

Step-by-step explanation:

Given that:

r = sin 2θ  , θ = ± π/4 , ± 3π/4

Recall that:

x = r cosθ

y = r sinθ

The  differential of y with respect to x

\dfrac{dy}{dx} = \dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}}

\dfrac{dy}{dx} =\dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}} = \dfrac{ r cos \theta + sin \theta* \dfrac{dr}{d \theta} } {\dfrac{dr}{d \theta} *cos \theta- sin \theta \ r}

at  θ = π/4  , r = sin π/2

r = 1

\dfrac{dy}{dx} = \dfrac{ r cos \theta + 2 cos (2 \theta)*sin \ \theta } {2 \ cos (2 \theta) *cos \theta- sin 2 \theta * sin \theta}

where;

θ = π/4

\dfrac{dy}{dx} = \dfrac{ 1 \times  cos (\dfrac{\pi}{4}) + 2 cos  (\dfrac{\pi}{2})*sin  (\dfrac{\pi}{4}) } {2 \ cos  (\dfrac{\pi}{2})*cos  (\dfrac{\pi}{4})- sin  (\dfrac{\pi}{2}) * sin  (\dfrac{\pi}{4})}

\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}}+0 }{0-1 * \dfrac{1}{\sqrt{2}}}

\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}} }{- \dfrac{1}{\sqrt{2}}}

\mathbf{\dfrac{dy}{dx} =-1}

slope of the curve (dy/dx) at theta(θ)  = pi/4 is -1

7 0
3 years ago
How do I factor x^2+4x+20
icang [17]
Its like x² + 4x +20 = 0,
x = [-4 + √[(4²) - (4*1*20)]]/(2*1) = [-4 + √(16-80)]/2 = [-4 + √(-64)]/2 = [-4 + 8√(-1)]/2 = -2 + 4i,
x = [-4 - √[(4²) - (4*1*20)]]/(2*1) = [-4 - √(16-80)]/2 = [-4 - √(-64)]/2 = [-4 - 8√(-1)]/2 = -2 - 4i,
here i = √(-1), its a complex number.
so solution is a complex number,
x = -2 - 4i & -2 + 4i.
8 0
3 years ago
Which number is greater:<br>-100 101 or -110 100?​
AleksandrR [38]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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John wrote the binomial 2x - 7. Sus wrote the binomial 3x + 5 . The teacher told the two to find the product. What is the produc
klemol [59]

Answer:

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Step-by-step explanation:

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this leaves you with 2x=3x+12

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this leaves -x=12

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4 years ago
Points A,B, and C are collinear. Points M and N are the midpoints of segments AB and AC. Prove that BC = 2MN
irinina [24]
Look at the picture.

1)|AM| = |MB| = x
|AN| = |NC| = y
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|MN| = y - x
Therefore |BC| = 2|MN|
2)|AM| = |MB| = x
|AN| = |NC| = y

|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|

6 0
4 years ago
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