Answer: 2 dollars per mask
Step-by-step explanation:
100 000/50 000 = 2
2 dollars per mask
Answer:
She is about 14.765 miles (
miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = ![\sqrt{218}](https://tex.z-dn.net/?f=%5Csqrt%7B218%7D)
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles (
miles) from where she started.
Answer:
Step-by-step explanation: 26+2c=312
Now we solve for c.
Subtract 26 on both sides giving 2c=286
So c=143
To solve this, you need to have a common denominator for both terms. In order to get the equivalent fraction with the common denominator, you multiply each fraction by a version of 1. Here, it seems like our least common denominator (or LCD) is 12. Therefore, you multiply 1/4 by 3/3 and you multipy 2/3 by 4/4 to get 3/12 plus 8/12 = 11/12.
Hope this helps!
<h3>
Answer: 2072.4 square cm</h3>
===============================================================
Explanation:
If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.
The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.
The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.
The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly
The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.
The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.
If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm
Let's bump this up by 10%. To do so, we'll multiply by 1.10
1.10*1884 = 2072.4