Marely walked around 2 rectangular parks.One measures 54 feet by 38 feet and the other measures 32 feet by 22

An arrow is shot vertically upward from a platform 19ft high at a rate of 163ft/sec. When will the arrow hit the ground? Use the

Triss [41]

Answer: 10.3 s

Step-by-step explanation:

Given

The height of the arrow is given by $h=-16t^2+v_ot+h_o$

At $t=0, h=19\ ft$ and $v_o=163\ ft/s$

When arrow hits ground, h becomes 0 i.e.

$\Rightarrow 0=-16t^2+163t+19\\\Rightarrow 16t^2-163t-19=0\\\\\Rightarrow t=\dfrac{163\pm \sqrt{(-163)^2+4(16)(19)}}{2(16)}\\\\\Rightarrow t=-0.115,10.30\ s$

Neglecting the negative value of t

So, the arrow hits the ground after 10.30 s

7 0

3 years ago

The arena set-up team’s work schedule is shown in the table below. Convert the minutes worked into hours.

Sladkaya [172]

Answer:

$Mike\ Chewer = 14\frac{1}{2}\ hr$

$Jennifer\ Glass = 3\frac{3}{4}\ hr$

$Fred\ Carlton = 1\frac{1}{4}\ hr$

$Amy\ Amaretto = 12\ hr$

Step-by-step explanation:

Given

$Mike\ Chewer = 870\ minutes$

$Jennifer\ Glass = 225\ minutes$

$Fred\ Carlton = 75\ minutes\\$

$Amy\ Amaretto = 720\ minutes$

Required

Convert to hours (in fraction)

To do this, we simply divide the time by 60

$Mike\ Chewer = 870\ minutes$

Divide by 60

$Mike\ Chewer = \frac{870}{60}\ hr$

$Mike\ Chewer = \frac{87}{6}\ hr$

Express as mixed numbers

$Mike\ Chewer = 14\frac{3}{6}\ hr$

Simplify

$Mike\ Chewer = 14\frac{1}{2}\ hr$

$Jennifer\ Glass = 225\ minutes$

Divide by 60

$Jennifer\ Glass = \frac{225}{60}\ hr$

Express as mixed numbers

$Jennifer\ Glass = 3\frac{45}{60}\ hr$

Simplify

$Jennifer\ Glass = 3\frac{3}{4}\ hr$

$Fred\ Carlton = 75\ minutes\\$

Divide by 60

$Fred\ Carlton = \frac{75}{60}\ hr$

Express as mixed numbers

$Fred\ Carlton = 1\frac{15}{60}\ hr$

Simplify

$Fred\ Carlton = 1\frac{1}{4}\ hr$

$Amy\ Amaretto = 720\ minutes$

Divide by 60

$Amy\ Amaretto = \frac{720}{60}\ hr$

$Amy\ Amaretto = 12\ hr$

3 0

3 years ago

Which us the simplified form of <br><img src="https://tex.z-dn.net/?f=%20%7Bp%7D%5E%7B0%7D%20" id="TexFormula1" title=" {p}^{0}

Mice21 [21]

1
anything with the power of 0=1

3 0

3 years ago

Evaluate the expression.<br><br> 2.15(3)2=

Elina [12.6K]

Answer:

12.9

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Meenu bought two fans for ₹1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of e

Vinvika [58]

<h3><u>Solution: </u></h3>

Overall<u> </u>CP of each fan = ₹1200 .

One is sold at a loss of 5% .

( This means if CP is ₹100, SP is ₹95 ) .

• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.

$= > \frac{95}{100} \times 1200 = 1140$

Also,Second fan is sold at a profit of 10% .

It means , If CP is ₹100 , SP is ₹110.

Therefore , When CP is ₹1200 , Then SP is ₹1320.

<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>

Total CP = ₹ 1200 + ₹ 1200 = ₹ 2400.
Total SP = ₹ 1140 + ₹ 1320 = ₹ 2460.

Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..

<h3>Hope this helps you :)</h3>

4 0

3 years ago