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Novosadov [1.4K]
3 years ago
14

Each square in the grid is a unit square with an area of 1 square unit.

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

We just count squares.  Those two half-squares will add to one whole square.  So this is a 3x4 rectangle plus a triangle of area 2.

Answer: 14

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Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and
andreyandreev [35.5K]

Split up each force into horizontal and vertical components.

• 300 N at N30°E :

(300 N) (cos(30°) i + sin(30°) j)

• 400 N at N60°E :

(400 N) (cos(60°) i + sin(60°) j)

• 500 N at N80°E :

(500 N) (cos(80°) i + sin(80°) j)

The resultant force is the sum of these forces,

∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i

… … …  + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N

∑ F ≈ (546.632 i + 988.814 j) N

so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.

4 0
2 years ago
the ratio of dogs to cats at a local animal shelter is 9:3 if there was a total of 33 cats at the shelter how many of them were
wel
So for every 9 dogs, there are 3 cats. So if I multiply 3 by 11, to get 33. I will also have to multiply 9 by 11.
8 0
3 years ago
Read 2 more answers
During game play, Juan threw 2 darts onto the board.
OlgaM077 [116]

Answer:

likely, impossible, unlikely

Step-by-step explanation:

8 0
3 years ago
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points)
NemiM [27]
If you would like to solve the equation -5x - 25 = 78, you should do this using the following steps:

<span>-5x - 25 = 78
</span>-5x - 25 + 25 = 78 + 25
-5x + 0 = 103
-5x = 103 /(-5)
x = 103 / (-5)
x = - 103/5 = - 20.6

The error was already made at step 1.
7 0
3 years ago
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Five cats each ate 1/4 cup of canned food . How much food did they eat altogether?
Sauron [17]

We have FIVE cats that each ate 1/4 cup of canned food.

Then, the five of them together ate:

5 times 1/4 cup This in mathematical expression is a profduct of an integer value (5) times the fraction (1/4) which we know how to multiply based on the problems we solved a few minutes ago:

5 * 1/4 = 5/1 * 1/4 = (5 * 1) / (1 * 4) = 5/4 cups

This answer can also be written as a MIXED number given that 5/4 is an IMPROPER fraction (a fraction with numerator larger than the denominator)

5/4 = 1 1/4

Not sure what answer your teacher would prefer. It depends on whether he/she wants you to use fractions or mixed numbers.

4 0
1 year ago
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