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natali 33 [55]
2 years ago
9

A town recreation hall needs to build a ramp. The height of the ramp must be 2 ft. The ramp will start 6 ft from the door. To th

e nearest tenth of a foot, how long will the ramp be
Mathematics
1 answer:
zimovet [89]2 years ago
3 0

Answer:

6.32 feets

Step-by-step explanation:

Given that:

Height of ramp = 2 feets

Length of base = 6 feets

Length of ramp = l

Using Pythagoras rule :

Hypotenus = sqrt(opposite² + adjacent²)

Length of ramp = sqrt(height of ramp² + length of base²)

l = sqrt(2² + 6²)

l = sqrt(4 + 36)

l = sqrt(40)

l = 6.3245

Length of ramp = 6.32 feets

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Add 4 to both sides:
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Take the square root of both sides:
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3 years ago
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
vaieri [72.5K]

Given:

The system of equations that represent the constraints for the given situation is

x+y=4.25

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To find:

The solution of given system of equations.

Solution:

We have,

x+y=4.25           ...(i)

16.90x+4y=36.35           ...(ii)

Multiply equation (i) by 4.

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Subtracting (iii) from (ii), we get

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16.90x+4y-4x-4y=19.35

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y=2.75

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

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Answer:

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The height h of the ball is modeled by the following equation

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The problem want you to find the times the ball will be 48 feet above the ground.

It is going to be when:

h(t) = 48

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0=-16t^{2}+32t+48 - 48

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We can simplify by 16t. So

16t(t-2)= 0

It means that

16t = 0

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So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

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Answer:

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Step-by-step explanation:

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