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3 years ago

How can I use operations to model real world problems?

1 answer:

5 0

Word problems are the best to model real world problems. Most word problems use real world situations and problems that need a solution that can be solved through operations

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Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = − 1/2 , cos(x) > 0

vodomira [7]

Answer:

sin(2x) = -4/5
cos(2x) = 3/5
tan(2x) = -4/3

Step-by-step explanation:

It may be easiest to start with tan(2x).

tan(2x) = 2tan(x)/(1 -tan(x)²)

tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)

tan(2x) = -4/3 . . . . . still a 4th-quadrant angle

Then cosine can be found from ...

cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)

cos(2x) = 3/5

Sine can be found from these two:

sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)

sin(2x) = -4/5

5 0

4 years ago

−20=−4x−6x Find the value of x

xeze [42]

Answer:

$\huge\boxed{x=2}$

Step-by-step explanation:

$-20=-4x-6x\qquad|\text{combine like terms}\\\\-20=-10x\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-20}{-10}=\dfrac{-10x}{-10}\\\\2=x\to x=2$

4 0

3 years ago

a sack of potatoes weighs 14 pound 9 ounces. after wendy makes potato salad for a picnis, the sack weighs 9 pounds 14 ounces. wh

olganol [36]

14 pounds 9 ounces = 233 ounces
9 pounds 14 ounces = 158 ounces

233-158=75 ounces=4 pounds 11 ounces

4 0

3 years ago

Read 2 more answers

Solve : X^2 - 3x = -8 And Solve : -2x^2 - 16x - 44 = 0

Aleonysh [2.5K]

Answer:

X = 8/3 + X^2/3

X = -4 ± i $\sqrt{6}$

Step-by-step explanation:

5 0

3 years ago

Three brothers share 2 sandwiches equally how much of a sandwich does each brother get?

Valentin [98]

Answer:
Each brother gets $\frac{2}{3}$ of a sandwich

Explanation:
We know that the total number of sandwiches is 2 and that the number of brothers is 3.

Since we are given that the sandwiches will be divided equally among the three brothers, this means that each will get an equal share.

Therefore, to get the share of each, we will simply divide the number of sandwiches by the number of brothers as follows:
each one will get = $\frac{# sandwiches}{# brothers}$ = $\frac{2}{3}$ of a sandwich

Hope this helps :)

8 0

4 years ago

Read 2 more answers