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2 years ago

A rectangular garden has a width of 90 feet.The perimeter is 500 feet.What is the length of the garden?

Mathematics

2 answers:

34kurt2 years ago

7 0

160 feet because you have to double the width and get 180 then subtract that from 500 and you get 320 and divide it by 2 and get 160

Lorico [155]2 years ago

5 0

Perimeter for a rectangle equals 2W + 2L where W - width and L - length

We are given that:
2 (90) + 2L = 500

or, 180 + 2L = 500

Subtracting 180 from both sides of the equation, we get

2L = 320

or, L = 160 ft

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An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck

kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

$\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300$

$\text{Weight of tires of the fully loaded semi-truck}=59,400$

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

$\text{Weight of 26 pallets of cargo}=59,400-30,000$

$\text{Weight of 26 pallets of cargo}=29,400$

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

$\text{Average weight of one pallet of cargo}=\frac{29,400}{26}$

$\text{Average weight of one pallet of cargo}=1130.769230769$

$\text{Average weight of one pallet of cargo}\approx 1131$

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0

2 years ago

You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W

stellarik [79]

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

$h(t) = -0.08t^{2} + 1.6t + 2$

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

$h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2$

The initial height of the balloon is 2 feet.

4 0

2 years ago

A prisoner is trapped in a cell containing three doors. The first door leads to a tunnel that returns him to his cell after two

Greeley [361]

Answer:

The expected number of days until the prisoner reaches freedom is 2.8.

Step-by-step explanation:

Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.

Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.

Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.

What is the expected number of days until the prisoner reaches freedom?

We multiply the probability of each door being used by the time that it leads to the cell. So

E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8

The expected number of days until the prisoner reaches freedom is 2.8.

4 0

2 years ago

Which of the following are possible equations of a parabola that has no real solutions and opens downward?

bekas [8.4K]

Answer:

$y = - {(x - 4)}^{2} - 2$

$y = - {(x + 4)}^{2} - 2$

Step-by-step explanation:

The vertex form of a parabola is given as

$y = a {(x - h)}^{2} + k$

If this parabola opens downward, then a<0.

This means for a function opening downward not to have a solution, the k value must also be negative and taking a square root of a negative number will not give real solution.

From the given options, examples of such functions are:

$y = - {(x + 4)}^{2} - 2$

and

$y = - {(x - 4)}^{2} - 2$

6 0

2 years ago

Read 2 more answers

Elena measured the perimeter of a square desk and found 359 cm. Andre measured the perimeter of the same desk and found 3,579 mm

kherson [118]

Answer:

Step-by-step explanation:

Since 1cm=10mm

(big to small multiply, small to big divide)

3579/10=357.9

so 1.1 cm or 11 mm

3 0

1 year ago