Zoe's mom is making super hero capes for the guests at her little brother's birthday party. Each cape uses of a yard of fabric.
1 answer:
Answer:
Part A: 10 complete capes.
Part B: 120 minutes.
Step-by-step explanation:
Part A:
Given:
Amount of fabric required for 1 cape is 1 yard.
Total amount of fabric bought by Zoe's mom are 10 yards.
Using unitary method,
∵Number of capes made from 1 yard fabric = 1
∴ Number of capes made from 10 yard fabric =
Part B:
Given:
Time taken to make 1 cape is 12 minutes.
Using unitary method,
∵Time taken to make 1 cape = 12 minutes.
∴ Time taken to make 10 capes = minutes.
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Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:
Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:
Hence, the point of y-intercept: (0,6).
Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation .
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well.
And finally we have . We input to calculator.
See the attached picture below showing the shore with the boat out at sea and the position of the person.
