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Marina86 [1]
3 years ago
5

A carpet layer can put down 400 square feet of carpet in 2.5 hours. How many hours will it take to lay down 600 square feet of c

arpet?

Mathematics
1 answer:
Tresset [83]3 years ago
5 0
First take 400 and divide it by 2.5 to find the hourly rate. Then divide 600 by the hourly rate (160) to get 3.75 hours. My work is listed below.

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Given: KLMN is a trapezoid m∠N = m∠KML ME ⊥ KN , ME = 3 5 , KE = 8, LM KN = 3 5 Find: KM, LM, KN, Area of KLMN
prisoha [69]
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the 
KM² = KE² + ME²KM² = 8² + (3√5)²       = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N  Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the  formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM)          = 1/2 * 3√5 * (40 + 24)         = 1/2 * 3√5 * 64         = 3 x 2.23 * 32         = 214.66 units²
7 0
3 years ago
What is 2 15/16 as a decimal
Bad White [126]

Answer:

2.9375

2 15/16 as a decimal = 2.9375

2 15/16 in decimal form = 2.9375

Two and fifteen sixteenths as a decimal = 2.9375

2 and 15 over 16 as a decimal = 2.9375

7 0
3 years ago
Read 2 more answers
How do you calculate the midpoint of question e)? I am very desperate. please help
andrey2020 [161]

Answer:

(-1,-1)

Step-by-step explanation:

Midpoint equation: (\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})

= (\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )

= (\frac{-2}{2},\frac{-2}{2})

=(-1,-1)

Use the formula and plug it in :)

7 0
2 years ago
Find the length of QT if Q is between M and T, if MT=18.3 and MQ=7.8
creativ13 [48]

Answer: QT= 10.5

Step-by-step explanation:

18.3-7.8

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3 years ago
What is the simplest form of 67/100?
Dafna1 [17]
That's the simplest lololol
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