Answer:
64.3 lumens
Step-by-step explanation:
Data provided in the question:
Length of the testing chamber = 35 cm
Light at one end = 10 lumens
Light at other end = 200 lumens
now,
since the variation is linear,
therefore, the gradient of the variation
= 
= 5.43
also,
the darkest end is the end with 10 lumens
therefore,
The lumens at 10 cm from the darkest end
= 10 + 5.43(10)
= 10 + 54.3
= 64.3 lumens
Answer:
6
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
2² + b² = 3²
4 + b² = 9
5 = b²
2.2 ≈ b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(2 x 2.2)
1/2(4.4)
2.2
Calculate the area of the bigger triangle:
<em>We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.
</em>
1/2(bxh)
1/2(2 x 3.8)
1/2(7.6)
3.8
Add both areas to find the area of the largest triangle:
3.8 + 2.2 = 6
2 would be the base and 3 will be the square
The best design for Camille is the one in which the area matches the total of material she wants to use for each pillow.
<h3>What should Camille consider for her design?</h3>
Camille's main restriction is the material per pillow since she needs every pillow to use only 36 inches of material. Due to this, she needs to make sure the design meets this requirement.
<h3>How to determine how much material each design requires?</h3>
The best method for this is to calculate the area of the design by using the sides. Here are the most common formulas:
- Triangular design: Base x height/ 2
- Squared or rectangular design: side x side
- Circular design: A = π r²
Based on this, the best design is the one that adjusts to the material available.
Note: This question is incomplete because there is no information about the designs; due to this, I answered it based on general knowledge.
Learn more about area in: brainly.com/question/16151549
Let X be the number of households.
so they sent the promotional material to 21% which means 0.21X number of households get the material.
out of the 0.21x households only 0.14 respond which is
0.14(0.21x) = 0.0294x or 2.94%
2.94% is the probability that a household receives and responds.
