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andreyandreev [35.5K]
3 years ago
8

What it the area of triangle PQR on the grid. Please answer quick and detailed and if your right I will mark you brainliest. pic

ture below
Mathematics
1 answer:
shtirl [24]3 years ago
6 0
I believe the answer to your question is 11. Once you add the squares that aren't cut from the lines, you get 6.You then ad the bottom squares and you get 7, and then you keep adding the squares on the outside. Eventually you get 11 cubic squares.
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Cos x cos (-x) -sin x sin (-x) = 1. Verify the Identity. Please Show All Steps.
umka21 [38]

Answer:

cos x cos (-x) -sin x sin (-x) = 1 ⇒ proved down

Step-by-step explanation:

* Lets revise the angles in the four quadrants

- If angle x is in the first quadrant, then the equivalent angles to it are

# 180 - x ⇒ second quadrant (sin (180 - x) = sin x , cos (180 - x) = -cos x

  tan (180 - x) = -tan x)

# 180 + x ⇒ third quadrant (sin (180 - x) = -sin x , cos (180 - x) = -cos x

  tan (180 - x) = tan x)

# 360 - x ⇒ fourth quadrant (sin (180 - x) = -sin x , cos (180 - x) = cos x

  tan (180 - x) = -tan x)

# -x ⇒fourth quadrant (sin (- x) = -sin x , cos (- x) = cos x

  tan (- x) = -tan x)

* Lets solve the problem

∵ L. H .S is ⇒ cos x cos (-x) - sin (x) sin (-x)

- From the rules above cos x = cos(-x)

∴ cos x cos (-x) = cos x cos x

∴ cos x cos (-x) = cos² x

- From the rule above sin (-x) = - sin x

∴ sin x sin (-x) = sin x [- sin x]

∴ sin x sin (-x) = - sin² x

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x - (- sin² x)

∴ cos x cos (-x) - sin (x) sin (-x) = cos² x + sin² x

∵ cos² x + sin² x = 1

∴ R.H.S = 1

∴ L.H.S = R.H.S

∴ cos x cos (-x) -sin x sin (-x) = 1

8 0
2 years ago
Devaughn's age is three times Sydney's age. The sum of their ages is <br> . What is Sydney's age?
g100num [7]

Answer:

syd is 23 and dev is 69


Step-by-step explanation:

Let Dev's age be x and Syd's age be y

Since Dev is 3 times older than Syd, we may write  

x

=

3

y

Since the sum of their ages is 92, we may write  

x

+

y

=

92

Now replacing x with 3y, we get :  

3

y

+

y

=

92

Hence  

y

=

92

4

=

23

and so Syd is 23 year old.

Back substituting we get Dev is 69 years old.

8 0
3 years ago
Read 2 more answers
Find the zero of the function:<br> y= 11x^2+25x-24
Ann [662]
X=8/11,-3 is the answer to your question.
4 0
3 years ago
(71 +29) x 26<br> HAKSJA HELP RN
jenyasd209 [6]

Answer:

2600

Step-by-step explanation:

(71+29) * 26

(100) * 26

2600

5 0
3 years ago
Read 2 more answers
Explain how to write 3x3/8 as a product of a whole number and a unit fraction
Sonja [21]
Hi there!

To write 3 x 3/8 as a unit fraction it is 9/8.

To write 3 x 3/8 as a whole number it is 1 1/8.

Explanation:

When you multiply 3 x 3/8 you get 9/8.

But when you make it to a proper fraction you get 1 1/8.

Hope this helps ;)
3 0
3 years ago
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