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Artist 52 [7]
3 years ago
8

What number is 1/10 the vaule of 237

Mathematics
1 answer:
Nady [450]3 years ago
3 0
23.7 is 1/10 the value of 237
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Given a rectangle with length of (2x+9)cm and width of (3x+1)cm.Two squares, each with sides x cm is removed from the rectangle.
il63 [147K]

Answer: The length is 13cm and the width is 7cm

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = W*L

In this case we have:

L = (2*x + 9) cm

W=(3*x + 1) cm

Then the area of the rectangle is:

A = (2*x + 9)*(3*x + 1) cm^2

A = (6*x^2 + 2*x + 27*x + 9) cm^2

A = (6*x^2 + 29*x + 9) cm^2

now we remove two squares with sides of x cm

The area of each one of these squares is (x cm)*(x cm)  = x^2 cm^2

Then the area of the figure will be:

area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2

area = (4*x^2 + 29*x + 9) cm^2

Now we know that the area of this shape is 83 cm^2, then we need to solve:

83 cm^2 = (4*x^2 + 29*x + 9) cm^2

0 =  (4*x^2 + 29*x + 9) cm^2 - 83 cm^2

0 = (4*x^2 + 29*x - 74) cm^2

Then we need to solve:

0 = 4*x^2 + 29*x - 74

Here we can use Bhaskara's equation, the solutions of this equation are given by:

x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)}  }{2*4} = \frac{-29 \pm 45}{8}

Then the two solutions are:

x = (-29 - 45)/8 = -9.25  (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).

The other solution is:

x = (-29 + 45)/8 = 2

x = 2

Then the length and width of the rectangle are:

Length = (2*2 + 9)cm = 13 cm

Width = (3*2 + 1)cm = 7cm

4 0
3 years ago
What is the scientific notation for number of kilometers light will travel in 60 seconds?
Natalka [10]
Travel distance by light in a second = 3*10^5 kms
Travel distance by light in 60 seconds = 
3*10^5 * 60
180 * 10^5
1.8 * 10^7 kms 
3 0
3 years ago
Help please need help <br>​
alexandr402 [8]

Answer:

sorry I'm too nood for that

3 0
3 years ago
Help plz it’s my final grade besties
Furkat [3]

a)

blank table values:

1, 2, 4, 8, 16, 32, 64

(2,4) and (6,64)

b)

y = 1 * 2^{x}

2^{20} = 1048576

5 0
3 years ago
1. Find the distance between two
BigorU [14]

Answer:

\mathrm{D)\:}9.4\: \mathrm{units}

Step-by-step explanation:

<u>Solution 1:</u>

Notice the x coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between 4.7 and -4.7 is |4.7-4.7|=\fbox{$9.4$}.

<u>Solution 2:</u>

The distance between two points (x_1,y_1) and (x_2,y_2) is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in given values, we have:

d=\sqrt{(-2.6-(-2.6))^2+(4.7-(-4.7))^2},\\d=\fbox{$9.4$}.

8 0
3 years ago
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