MATHEMATICS HIGH SCHOOL

Solve the inequality
2w-3>14

Answers

Answer 1
Answer: Try to follow my steps:

1).  Copy the problem:

2w - 3 > 14

2).  Add 3 to each side:

2w > 17

3).  Divide each side by 2 :

w > 8.5
Answer 2
Answer: 2w-3 > 14\ \ \ \ /+3\n\n2w > 17\ \ \ \ /:2\n\nw > 8.5\n\nw\in(8.5;\ \infty)

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chad poured a sidewalk that is 42 ft long. He is going to start at the beginning and make a cut every 20 inches. How many cuts will Chad make?

Answers

So The First Step in tackling this problem is first do 42x12 , The reason why we do this is because we are converting feet to inches. After that we will get 504 inches. The next and final step is to do 504÷20. Then we will get 25.2 so the final answer is that Chad will make 25 cuts.
Twice because you would divide the 2 numbers together, and you get a small decimal. But since you can't cut a decimal then It would be 2, so 2 cuts. :)

Your mother bought a three-liter bottle of water. When she got home, she discovered a small leak in the bottom and asked you to find a container to transfer the water into. All you could find were two half-gallon jugs. Will your containers hold all of the water

Answers

Answer:

The two half-gallon jugs will hold all of the water.

Step-by-step explanation:

The gallon and the liter are two units of volume. Let's write the equivalent expression between them :

1gal=3.78541L

To solve this problem, we need to find out which volume is greater : The volume of the three-liter bottle or the volume of the two half-gallon jugs.

The volume of two half-gallon jugs is equal to :

Volume=(2).((1)/(2))gal=1gal

Two half-gallon jugs can storage 1 gallon in total.

1 gal is equal to 3.78541 L (We write this at the beginning of the answer). Now, given that the volume of water stored by the three-liter bottle is 3 L or less (because of the small leak) :

3.78541L>3L

Therefore, the volume of the two containers is greater than the maximum volume of water stored in the three-liter bottle ⇒ The containers will hold all of the water.

No it will not because if you put the two half gallons together, one gallon is equal to 3.785411784 liters

Solve: sec b cosec b=2 cosec b

Answers

Answer:

b = 60° or 300°

Step-by-step explanation:

We can solve the equation sec b csc b=2 csc b in terms of sin and cos as follows:

We can write sec b and csc b in terms of sin and cos:

\sf sec \:b = (1)/(\:cos\: b)

\sf csc b = (1)/(sin \:b)

Substituting these expressions into the equation, we get:

\sf (1)/(cos b) \cdot (1)/(sin b) = 2 \cdot (1)/(sin b)

Multiplying both sides of the equation by sin b cos b, we get:

\sf 1 = 2\cdot (cosb\cdot sinb)/(sinb)

\boxed{\sf (sin b)/(sinb)=1}

so,

\sf 1 = 2\: cos b

Dividing both sides of the equation by 2, we get:

\sf (1)/(2) =cos b

\sf cos 60^\circ = cos b

Since cos is positive in 1st and 4th quadrant, so

\sf cos 60^\circ \:\:or\:\:cos(360^\circ-60^\circ)= cos b

Therefore, the solutions to the equation sec b \csc b=2 \csc b for b is 60° or 300°

The resultant force, R, is related to two concurrent forces, X and Y, acting at right angles to one another, by the formula R2=X2+Y2. Rewrite the formula for Y.

Answers

R^2 = X^2 + Y^2
Y^2 = R^2 - X^2
Y = sqrt(R^2 - X^2)

Answer:

Y = √(R² - X²)

Step-by-step explanation:

Write 0.5 in words.?write 0.5 in words? Write 0.5 in words?

Answers

Here are 3 possible answers that all work:
one half
five tenths
I would stick to the 2 answers listed above, but this also works:
fifty percent

Answer:

Half

Step-by-step explanation:

Any time that you see .5 it means it is half. EX. 2.5 means 2 and a half!

Simplify the square root of 5/32

Answers

√5/√32

Multiply both numerator and denominator by √32
√160/32
4√10/32
=√10/8
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