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Nikitich [7]
3 years ago
5

The length of a rectangle is 6m more then the width. The area is 40m^2 . What is the length and the width?

Mathematics
1 answer:
erastova [34]3 years ago
4 0

let the width of the rectangle be x

area of rectangle is l*b

x * (x + 6) = 40^2

x^2 + 6x = 40^2

x^2 + 6x = 1600

x + 6x =√1600

x + 6x = 40

7x = 40

x = 5.7

Hope you found this useful

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Right format of question:

Plot two points that are 7 units from Point D and also share the same x-coordinate as Point D.

Answer:

D' = (-4,-6) and D' = (-4,8)

Step-by-step explanation:

Given

D(x,y) = (-4,1)

Required

Determine a point 7 points from D and in the same x coordinate

Represent this point with D'.

From the requirement of the question, D' has two possible values and these values are:

D' = D(x,y-7) ----> 7 units down and

D' = D(x,y+7) ----> 7 units up

Substitute values for x and y in D' = D(x,y-7) and D' = D(x,y+7)

So, we have:

D' = D(x,y-7)

D' = (-4,1 - 7)

D' = (-4,-6)

D' = D(x,y+7)

D' = (-4,1+7)

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3 years ago
I need someone to help me with my math assignments
Nonamiya [84]

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What is the sum of the first 75 even numbers starting with 2? Enter your answer in the box.
vova2212 [387]

Answer:

5700

Step-by-step explanation:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 150.

The first term a = 2

The common difference d = 2

Total number of terms n = 75

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 75/2 x (2 + 150)

= (75 x 152)/ 2

= 11400/2

2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 150 = 5700

Therefore, 5700 is the sum of first 75 even numbers.

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Romashka [77]

Answer:

The amplitude=|A|=\frac{1}{2}, period=3 and \text{phase shift}=\frac{2\pi}{3}.

Step-by-step explanation:

The given function is

f(t)=-\frac{1}{2}\sin (3t-2\pi)      .... (1)

The general form of sine function is

F(t)=A\sin (Bt-C)+D                 ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

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Therefore amplitude=|A|=\frac{1}{2}, period=3 and \text{phase shift}=\frac{2\pi}{3}.

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Answer:

Step-by-step explanation:

27 degrees

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