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3 years ago

A rectangular field is twice as long as it is wide. if the perimeter of the field is 450 yards. what are the fields dimensions?

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Let width = x
let length = 2x
x + 2x = 450
3x = 450
x = 150
width = 150
length = 2x = 2 (150) = 300

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Is (0,0) a solution to 6x - 7y > 20 please include the steps!

leonid [27]

Answer:

No.

Step-by-step explanation:

To determine if (0,0) is a solution to the inequality, substitute 0 for x and 0 for y and check to see. Thus:

$6x-7y>20$

Substitute 0 for x and 0 for y:

$6(0)-7(0)\stackrel{?}{>}20$

Multiply:

$0-0\stackrel{?}{>}20$

Subtract:

$0\not>20$

So, (0,0) is <em>not</em> a solution.

And we're done!

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2 years ago

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Elenna [48]

Answer:

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3 years ago

Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity

iris [78.8K]

Answer:

(a) 7.5 seconds

(b) The horizontal distance the package travel during its descent is 1737.8 ft

Step-by-step explanation:

(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀

The initial height of the object s₀ = 900 feet

The initial vertical velocity of the object v₀ $_y$ = 0 m/s

The time it takes the package to strike the ground is found as follows;

0 = -16·t² + 0×t + 900

900 = 16·t²

t² = 900/16 = 62.25

t = √62.25 = 7.5 seconds

(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have

158 miles/hour = 231.7126 ft/s

The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place

The horizontal distance the package travel during its descent = 1737.8 ft.

4 0

2 years ago

Write the fractions as fractions with a common denominator 3/4 and 1/3

JulijaS [17]

3/4 and 1/3

4x3 = 12 that will be the common denominator.

For 3/4 we first divide 12/4 = 3 and then multiply 3 x3 = 9 that's the numerator

For 1/3 we first divide 12/3 = 4 and then multiply 1x4 = 4 that's the numerator

The fractions will be rewrited as: 9/12 and 4/12

3 0

1 year ago

Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago