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3 years ago

Solve for the perimeter and area of a rectangle that has a length of 4in. and a width of 2 in

2 answers:

7 0

The perimeter is either 10 (if the rectangle has two sides that are 4in and one side that is 2in) or 8 (if the rectangle has two sides that are 2in and one side that is 4in)

ioda3 years ago

5 0

P=4+4+2+2
=8+4
=12in

A=l×w
=4×2
=8in^2

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A particle is moving with the given data. Find the position of the particle. a(t)=10sin(t)+3cos(t) s(0)=0 s(2pi)=12

zubka84 [21]

$a(t)=10\sin t+3\cos t$

$v(t)=\displaystyle\int a(t)\,\mathrm dt$
$v(t)=\displaystyle\int(10\sin t+3\cos t)\,\mathrm dt$
$v(t)=-10\cos t+3\sin t+C_1$

$s(t)=\displaystyle\int v(t)\,\mathrm dt$
$s(t)=\displaystyle\int(-10\cos t+3\sin t+C_1)\,\mathrm dt$
$s(t)=-10\sin t-3\cos t+C_1t+C_2$

With the boundary conditions $s(0)=0$ and $s(2\pi)=12$ , we have

$\begin{cases}0=-3+C_2&s(0)=0\\12=-3+2\pi C_1+C_2&s(2\pi)=12\end{cases}\implies C_1=\dfrac6\pi,C_2=3$

so that the position of the particle is given by

$s(t)=-10\sin t-3\cos t+\dfrac{6t}\pi+3$

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3 years ago

Elijah has a loyalty card good for a discount at his local grocery store. The item he

Snowcat [4.5K]

Answer:

Step-by-step explanation:

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3 years ago

How to find degrees in triangle using trig?

nordsb [41]

Remember SOHCAHTOA

Sine- opposite/hypotenuse
Cosine- adjacent/hypotenuse
Tangent- opposite/adjacent

Look at the angle (x) you are trying to figure out and pick which one of these it is.

In your calculator, do the equation first to get a decimal

Then press whichever one you chose on the calculator, so if you got like 0.2 by doing opposite/adjacent for tangent, you would type in 0.2 and then the TAN button

hope this makes sense!!

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3 years ago

The sum of three consecutive numbers is equal to 4 times the largest number minus 29. What is the smallest of the three numbers?

gulaghasi [49]

The smallest of the three consecutive integers is 24.

<h3>How to solve algebraic word problems?</h3>

Let the 3 consecutive integers be;

x, y and z

Thus;

y = x + 1

z = x + 2

Now, we are told that their sum is equal to 4 times the largest number minus 29. Thus;

x + x + 1 + x + 2 = 4(x + 2) - 29

3x + 3 = 4x + 8 - 29

4x - 3x = 3 + 21

x = 24

Thus, we can conclude that the smallest of the three consecutive integers is 24.

Read more about algebra word problems at; brainly.com/question/13818690

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Ber [7]

Answer: 2: a 3: b 4:b

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