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2 years ago

7

Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an eq

uation to find your age a. Let me know asap

1 answer:

Papessa [141]2 years ago

5 0

Brother=b
b+9=11
b=2
2=1/5a
10=a
a=10

The answer is 10

Hope this helps :)

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A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know $\frac{dx}{dt}=31 ft/s$ and we want $\frac{dD}{dt}$ when he is halfway (at x = 45).

Using Pythagoras theorem

$D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}$

When x=45

$D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}$

$2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s$

Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.

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2 years ago

If the boundary lines of two half planes are parallel, then they have no solution area.

jenyasd209 [6]

Answer: True

Step-by-step explanation:

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3 years ago

How do you simplify the expression 7 - 2(2 + 5) -8?

krek1111 [17]

7 - 2 (7) -8
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3 years ago

Read 2 more answers

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Answer:

1

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2 years ago

Estimate a 20% tip on a dinner bill of $161.86 by first rounding the bill amount to the nearest ten dollars.

MAXImum [283]

Answer:

See below

Step-by-step explanation:

<u>If you just want the tip</u>

<u /> $0.20*161.86\approx\frac{1}{5}*160=32$

<u>If you want the total bill</u>

<u /> $1.20*161.86\approx160+32=192$

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1 year ago