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Annette [7]
3 years ago
9

Evan is landscaping his backyard. The yard is shaped like a rectangle and measures 80 feet by 70 feet. He wants to spread topsoi

l evenly over the entire surface. One load of topsoil will cover 400 square feet, 4 inches deep. How many loads of dirt does Evan need in order to cover his entire yard?
Mathematics
1 answer:
mafiozo [28]3 years ago
8 0

80 x 70 = 5600 square feet total

5600 / 400 = 14

he would need 14 loads

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Sovle the following equation by factorization 2x-9x=0
nikitadnepr [17]

Answer:

11x=0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the zeros of y = x2 – 6x – 4 by completing the square.
katrin [286]

Answer:

The solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

Step-by-step explanation:

Given the function

y\:=\:x^2\:-\:6x\:-\:4

substitute y = 0 in the equation to determine the zeros

0\:=\:x^2\:-\:6x\:-\:4

Switch sides

x^2-6x-4=0

Add 4 to both sides

x^2-6x-4+4=0+4

Simplify

x^2-6x=4

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2

x^2-6x+\left(-3\right)^2=13

Apply perfect square formula:  (a-b)² = a²-2ab+b²

\left(x-3\right)^2=13

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-3=\sqrt{13}

Add 3 to both sides

x-3+3=\sqrt{13}+3

Simplify

x=\sqrt{13}+3

now solving

x-3=-\sqrt{13}

Add 3 to both sides

x-3+3=-\sqrt{13}+3

Simplify

x=-\sqrt{13}+3

Thus, the solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

4 0
2 years ago
Hi, can someone help me on this. I'm stuck --
CaHeK987 [17]

Answer:

a) Fx=-5N  Fy=-5*sqrt(3) N   b) Fx= 5*sqrt(3) N    Fy=-5N

c) Fx=-5*sqrt(2) N    Fy=-5*sqrt(2)   N

Step-by-step explanation:

The arrow's F ( weight) component on axle x  is Fx= F*sinA  and on axle y is

Fy=F*cosA

a) The x component and y component both are opposite directed to axle x and axle y accordingly.  So both components are negative.

So Fx = - 10*sin(30)= -5 N      Fy= -10*cos(30)= -10*sqrt(3)/2= -5*sqrt (3) N

b) Now the x component  is co directed to axle x , and y component is opposite directed to axle y.

So x component is positive and y components is negative

So Fx = 10*sin(60)= 5*sqrt(3) N       Fy= -10*cos(60)= -10*1/2= -5 N

c)The x component and y component both are opposite directed to axle x and axle y accordingly.  So both components are negative.

So Fx = - 10*sin(45)= -5*sqrt(2)  N    

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8 0
3 years ago
Please help me with this im really stuck​
makvit [3.9K]
THE ANSWER IS: y = -x+9

y=mx+b
m=slope=(y2-y1)/(x2-x1)
use the points (0,9) and (9,0)
(0-9)/(9-0) = -9/9 = -1
so m=-1

b is the y-intercept which is where x=0
the line crosses the y axis at y=9
so b=9

plugging in m and b into y=mx+b,
you get y=-x+9
3 0
3 years ago
An architect is designing a building each floor will be 12 ft tall write the equation for the number of floors the building can
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H = 12f
h = height of the building in feet
f = number of floors
3 0
2 years ago
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