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3 years ago

Solve for x: Sin(2x-15)=Cos(x-12)

Mathematics

1 answer:

Archy [21]3 years ago

7 0

<span>$\mathrm{Periodicity\:of}\:\sin\left(2x-15\right)+\cos\left(x-12\right):\quad2\pi$</span>

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The lengths of the diagonals of rectangle ABCD intersect at E. If AE =x+4 and CE= 3x-12. What is the length of BD?

swat32

Answer:

DB = 24

Step-by-step explanation:

First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.

Also, AE + CE = CA

So, using this, we can write this equation:

AE = CE

x + 4 = 3x -12

Subtract 4 from both sides.

x = 3x -16

Subtract 3x from both sides.

-2x = -16

Divide both sides by -2

x = 8

Then, substitute this into AE + CE = CA

x + 4 + 3x - 12 =

8 + 4 + 24 - 12 = 24

Then, because CA = DB,

DB = 24

I hope this helps! Feel free to ask any questions! :)

5 0

3 years ago

Read 2 more answers

The circumference of a circle exceeds the radius by 74 cm. Find the radius of the circle.

saw5 [17]

Answer:

14 cm.

Step-by-step explanation:

Let the radius of the circle = r cm.

Then circumference of circle = 2 π r.

Since circumference exceeds the radius by 74 cm

Therefore, according to the question,

$\sf \:2 π r = r+ 74$

$\sf \: = > 2 \times \frac{22}{7} \times r = r \: + 74$

$\sf \: = > \frac{44r}{7} -r = 74$

$\sf \: = > \frac{44r - 7r}{7} = 74$

$\sf \: = > \frac{37r}{7} = 74$

$\sf \: = > r = \frac{7 \times 74}{37}$

$\sf \: = > r = 14$

Hence, the radius of the circle is 14 cm.

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3 0

2 years ago

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Explain how to describe the data on a histogram.

AnnZ [28]

A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the amount of data points that fall within a given range of values.

8 0

2 years ago

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60° 2x + 149 degrees

MAXImum [283]

Answer:

x = 23

Step-by-step explanation:

60°=x+14

60+14=84=X

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3 years ago

Find the intercepts of 2x-y=-4

-Dominant- [34]

Answer:

Y intercept: y=2x+4

And x intercept: x=1/2y-2

Step-by-step explanation:

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3 years ago