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3 years ago

Please help asap 45 pts

Mathematics

1 answer:

rosijanka [135]3 years ago

5 0

A. The area must be 1/2 x^2, so x must be 7.3. (7.3^2=53.29), 53.29/2=26.645.

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The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

3 years ago

A ratio is in its simplest form 7:9. if its consequent is 117, find the antecedent

a_sh-v [17]

Answer:

Let the income and saving rs7x and respectively 2x

then

2x=500

Step-by-step explanation:

3 0

3 years ago

WORTH 100 POINTS need the answers asap

Lena [83]

Answer:

$f(x) = x^2 , x < 2$

$f(x) = 5, 2\leq x < 4$

Step-by-step explanation:

We have a parabola and a small line shown in the graph.

The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.

Therefore, this function can be modeled by:

$f(x) = x^2 , x < 2$

$f(x) = 5, 2\leq x < 4$

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3 years ago

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which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag are similar? A. ASA s

Damm [24]

A. ASA similarity theorem
B. SSS similarity theorem

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3 years ago

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How you know its smallest to greatest 10, negative 10, 5 ,Negative 5 , 0

zmey [24]

This is the order from smallest to greatest: -10,-5,0,5,10

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3 years ago