Help me please !!!!!!!

The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o

Anna11 [10]

The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism

we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft

4 0

2 years ago

A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a

zmey [24]

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

$P = P_{1} + P_{2}$

$P_{1}$ is the probability of the first sprinkler being triggered and activated. So:

$P_{1} = 0.5*0.9 = 0.45$

$P_{2}$ is the probability of the second sprinkler being triggered and activated. So:

$P_{2} = 0.5*0.8 = 0.40$

$P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85$

There is an 85% probability that the sprinkler head will be activated.

6 0

2 years ago

Without solving, NO SOLUTION describes which equation?

CaHeK987 [17]

Answer:

The equation 'y = y + 1' represents NO SOLUTION.

Hence, option 'C' is true.

Step-by-step explanation:

a)

6a = 9a

subtract 9a from both sides

6a - 9a = 9a - 9a

-3a = 0

divide both sides by -3

-3a / -3 = 0/-3

Simplify

a = 0

b)

5x = 28

divide both sides by 5

5x/5 = 28/5

x = 28/5

c)

y = y + 1

subtract y from both sides

y - y = y+1-y

0 = 1

These sides are not equal, so

NO SOLUTION!

d)

y + 5 = 12

subtract 5 from both sides

y + 5 - 5 = 12 - 5

y = 7

Conclusion:

Therefore, the equation 'y = y + 1' represents NO SOLUTION.

Hence, option 'C' is true.

5 0

2 years ago

Read 2 more answers

PLEASE HELPPPPPPPPPPPPPP THANK YOUUH

almond37 [142]

For A B and C, you just plug in the given number

A
$2(15) + 5 = 35$
B
$4(20) + 2 = 82$
C
$6(10) + 5 = 65$
And for D, you set the equation to 26 and solve for n
$3x + 5 = 26 \\ 3x = 21 \\ x = 7$
I had to use x instead of n, but for D n=7. :)

8 0

3 years ago

Find the product -3,-4.-2.5

Assoli18 [71]

Answer:

$-30$