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3 years ago

10

a rectangle is 15 ft longer than it is wide and its area is 324ft^2. find its length and width. choices for the width: 10, 12, 1

4

1 answer:

mezya [45]3 years ago

6 0

Answer:

12

Step-by-step explanation:

15+12=27

27x12=324

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The probability of a basketball player missing a foul shot is . What is the

iren [92.7K]

The probablitity would be 44%

7 0

4 years ago

The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is t

Butoxors [25]

Answer:

0.44237 units

Step-by-step explanation:

Given

$v(t) = e^t*sin(e^t)$

$0 \le t \le \frac{\pi}{2}$

Required

The distance traveled in this interval

We have:

$v(t) = e^t*sin(e^t)$

The distance is calculated as:

$d(t) = \int\limits^a_b {v(t)} \, dt$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

Let:

$u = e^t$

Differentiate

$\frac{du}{dt} = e^t$

So:

$dt = e^{-t} du$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du$

Rewrite as:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du$

Integrate:

$d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0$

Substitute $u = e^t$

$d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0$

Split

$d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)]$

$d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)$

$d(t) = -0.09793 + 0.5403$

$d(t) = 0.44237$

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

4 0

3 years ago

Solve for d. -5d – 16d + -14d + 8d – -13d = -14

gizmo_the_mogwai [7]

-5d – 16d + -14d + 8d – -13d = -14
-5d-16d-14d+8d+13d=-14
-21d-14d+8d+13d=-14
-35d+8d+13d=-14
-27d+13d=-14
-14d=-14
÷-14 both sides
d=1

4 0

3 years ago

helena makes an 8% commission on any artwork she sells if she sells $125 worth of artwork how much is her commission

irga5000 [103]

Answer:

$10

Step-by-step explanation:

125x.08= $10

8 0

3 years ago

Read 2 more answers

I need help guys help me plzz could u guys help me plzz

Zanzabum

It's D.
.
Why?
.
Ok, your variable is x.
.
x stands for WHAT( the VALUE ) that you want to find.
.
So, assume you know what x is.
.
Pretend it's 10 or like infinity or what-not.
.
So, x + $32.25 = $45.32.
.
But you don't know x.
.
But it's easy to find it.
.
Subtract $32.25 on both sides, and BOOM!!
.
Hope this helped!.
.
Any question, ASK AWAY!!

3 0

3 years ago

Read 2 more answers