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KiRa [710]
3 years ago
13

a paper airplane can be made out of two different pieces of paper: a circular piece 10 inches wide and a square piece 11 inches

wide. Which piece of paper will provide the greater area for flight?
Mathematics
1 answer:
madreJ [45]3 years ago
5 0
Compare the areas of the 2 different pieces of paper.

For the circle, the area is A=pi * r^2, which works out to A = pi(5 inches)^2.

For the square, the area is A = s^2, where is the side length, which here is 11 inches.

Finish these calculations, and then compare your two areas.  Which is the larger?
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Why is cosine positive in the 4th quadrant and sine isn’t?
kari74 [83]

Answer:

Because sine can only be positive in quadrant II according to the CAST rule.

8 0
3 years ago
If you stand next to a wall on a frictionless skateboard and push the wall with a force of 36 N, how hard does the wall push on
VARVARA [1.3K]

The wall pushes back with an equal and opposite force. So it pushes with a force of 36N in the opposite direction of the push. This allows you to move away from the wall.

7 0
3 years ago
Jack and Jill both start at point A. They each walk in a straight line at an angle of 105° to each other. After 45 minutes Jack
ASHA 777 [7]

Answer: The distance between them is 8.38 km

Step-by-step explanation:

Let's suppose both of them start at the point (0km, 0km), and that Jack walks along the positive x-axis, then Jill walks at an angle of 105° measured from the positive x-axis.

After 45 minutes, jack has walked 4.5km, then if his initial position was (0 km, 0 km)

Then his new position will be (4.5km, 0km)

Jill has walked 6km, but we need to write this in rectangular components.

We can think in this as a triangle rectangle, then the components will be:

x-component = 6 km*cos(105°) = -1.55 km

y-component = 6km*sin(105°) = 5.80 km

Then the new position of Jill is ( -1.55km, 5.80km)

Now, we know that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Jill and Jack will be equal to the distance between ( -1.55km, 5.80km) and (4.5km, 0km)

This is:

Distance = √( (-1.55km - 4.5km)^2 + (5.80km - 0km)^2)

Distance = 8.38 km

This means that they are 8.38km apart.

4 0
3 years ago
Perform the requested operation or operations.
MrRissso [65]

Answer:

4x+7+3x^2

Step-by-step explanation:

We have given two function f(x) and g(x)

We need to operate (f+g)(x)=f(x)+g(x)

Substituting the values in the above format we will get

(4x+7)+(3x^2) after opening the parenthesis we will get

\Rightarrow 4x+7+3x^2

We will get after simplification the above expression

Addition of these two functions give us a quadratic expression means an expression with degree or highest exponent two.

4 0
3 years ago
Read 2 more answers
You need to spend at least $50 in one day to receive a store discount. You have already spent $30. Let s be the amount of money
Allushta [10]

Answer: s + 30 ≥ 50; s ≥ 20

Step-by-step explanation:

let s be the amount you have yet to spend in order to reach $50 or more

you already have $30.

This means you need to spend at least $20 more ($50 - $30 = $20)

S can be greater than or equal to $20 because your total will be 50 or more, therefore qualifying for the discount.

5 0
2 years ago
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