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Roman55 [17]
2 years ago
15

Find the missing length

Mathematics
1 answer:
kirza4 [7]2 years ago
4 0

Answer:

9, 10, 3 and 1/3

Step-by-step explanation:

21 = 7 x 3

Therefore divide each side of the larger triangle by three to get the smaller one.

27/3 = 9

30/3 = 10

10/3 = 3.33333...

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Determine the amount you need to invest to have $22,000 dollars in 4 years if you invest at 5% annual interest, compounded quart
zvonat [6]

Answer:


Step-by-step explanation:

Метод

сложных процентов:

S = 100 (1+

0,10/2)^2*2 = 100*1,2155

= 121,55

ΔР = 121,55

– 100 = 21,55 тыс. руб.

6 0
4 years ago
The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
3 years ago
Please please please please help i need to pass please
labwork [276]

Answer:

D

Step-by-step explanation:

Solution:-

The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:

                                   f ( x ) = sin ( w*x ± k ) ± b

Where,

                 w: The frequency of the cycle

                 k: The phase difference

                 b: The vertical shift of center line from origin

We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).

We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.

The resulting sinusoidal waveform can be expressed as:

                           f ( x ) = sin ( 2x )  ... Answer

4 0
4 years ago
Can someone help me out on this plz?
serious [3.7K]

Answer:

c.) 36cm

Step-by-step explanation:

:))

6 0
3 years ago
The distance between Capeton and Jonesville is 80 miles. The scale on the map is 0.75 in. : 10 miles. How far apart are the citi
Mnenie [13.5K]
The answer to this question is 6 in. Hope this helps.
7 0
4 years ago
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