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2 years ago

What is the area of this figure?

Mathematics

1 answer:

Agata [3.3K]2 years ago

5 0

Answer:

179 square meters

Step-by-step explanation:

you can look at the figure into 3 different rectangles. 2*7=14, 2*6=12, 17*9=153. 14+12+153=179.

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How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

2 years ago

A sample of 4 different calculators is randomly selected from a group containing 19 that are defective and 36 that have no defec

Liono4ka [1.6K]

The probability of all calculators having no defects is 16.8%. The probability of at least one defect is the complement of that probability.
ie an 83.2% probability of at least one defect.

6 0

2 years ago

A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe

Talja [164]

Answer:

cost of ribeye steak dinners = $10.36

cost of grilled salmon= $11.581

Step-by-step explanation:

Let the cost of one steak dinners be x

Let the cost of one grilled salmon be y

One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as

12(x)+39(y)= $575.53-------------------------------------(1)

On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as

25(x)+ 13(y)= $582.43-------------------------------------(2)

solving the equation (1) and (2)

eq(1) x 1 $12x+39y= 575.53$

eq(2) x 3 $125x+ 39y= 1747.29$ -------------------------(3)

Subtracting these equation we get,

$113x=1171.76$

$x=\frac{1171.76}{113}$

x= 10.36

Now substituting this in equation (1)

$12(10.36)+39(y)= $575.53$

$123.84+39y=575.53$

$39y=575.53 - 123.84$

$y=\frac{451.69}{39}$

y=11.581

7 0

2 years ago

Describe diagram....

sweet [91]

Answer:

(B ^ C) U (A U B UC)'

4 0

3 years ago

0.045x10° in scientific notation is A)4.5x 10 B) 4.5x 10- C) 4.5x 104 D) 4.5x10

bixtya [17]

The answer in scientific notation is 4.5x10^-2

6 0

1 year ago