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soldier1979 [14.2K]
3 years ago
10

the length of a rectangle is 12 cm more than the width. the perimeter is 74 cm. find the length and the width

Mathematics
1 answer:
stellarik [79]3 years ago
7 0

Answer:

Width = 12.5 cm

Length = 24.5 cm

Step-by-step explanation:

Width: x

Length: x + 12

2x + 2 (x+12) = 2x + 2x + 24 = 74

4x + 24 = 74

4x = 74 - 24

x = 50/4

x = 12.5

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3|3t+1|=2|6t+3| Need hep
mars1129 [50]

Answer:

your answer would be  t=-1 or t=1

Step-by-step explanation:

-(2t-3) = 3t-2

Multiply

     -2t+3 = 3t-2

Rearrange and Add up

     -5t = -5

Divide both sides by 5

-t = -1

Multiply both sides by (-1)

t = 1

Which is the solution for the Negative Case

Solve the Positive Case

     (2t-3) = 3t-2

Rearrange and Add up

     -t = 1

Multiply both sides by (-1)

     t = -1

have a great day!

4 0
3 years ago
Find the work done by the force field F(x, y) = xi + (y + 5)j in moving an object along an arch of the cycloid r(t) = (t − sin(t
Nimfa-mama [501]

Integrate the force field along the given path (call it <em>C</em>):

W=\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=\int_0^{2\pi}\mathbf F(x(t),y(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^{2\pi}\bigg((t-\sin t)\,\mathbf i+(6-\cos t)\,\mathbf j\bigg)\cdot\bigg((1-\cos t)\,\mathbf i+\sin t\,\mathbf j\bigg)\,\mathrm dt

=\displaystyle\int_0^{2\pi}(t-t\cos t+5\sin t)\,\mathrm dt=\boxed{2\pi^2}

5 0
3 years ago
Watch help video
julia-pushkina [17]
The 38th term in the sequence is -51
6 0
2 years ago
A square has a perimeter of 40 m. What is the length of each side?
bekas [8.4K]

Answer:

10 m

Step-by-step explanation:

A square has all equal side lengths. If that is the case, the we have 4 sides that equal each other:

x + x + x + x = 40 m

4x = 40m

x = 10m

So each side is 10 m long.

7 0
3 years ago
Read 2 more answers
Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.
kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

a=\sqrt{a}\times \sqrt{a}

The given algebraic equation in the problem is,

(x+ 9)^2 = 25

Take the square root, in both sides,

\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}

Cancel out the square root with the square of the number as,

(x+9)=\pm5\\

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

Learn more about the square root of number here;

brainly.com/question/664132

7 0
2 years ago
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