Answer:
Rate of change is 6/7 Initial value: 6
Step-by-step explanation:
To find the slope (which is the rate of change), use (y1 - y2)/(x1 - x2).
x1 and y1 will be (0, 6)
x2 and y2 will be (7, 0)
Note that x1 x2 y1 y2 can be any points on the line, I just chose these because they were x and y-intercepts.
(6 - 0)/(0 - 7) = 6/7
The initial value is simply the y-intercept, which is 6.
The result is: {5,6,9}
Step-by-step explanation:
Given
U = {0,1,2,......,10}
A = {5,6,9}
B = {0, 6, 7, 10}
We have to find
(A∩B)U(A∩B')
First of all,
<u>B':</u>
B' = U -B = {0,1,2,......,10} - {0, 6, 7, 10}
= {1,2,3,4,5,8,9}
<u>A∩B':</u>
A∩B' = {5,6,9} ∩ {1,2,3,4,5,8,9}
= {5,9}
<u>A∩B:</u>
A∩B = {5,6,9} ∩ {0, 6, 7, 10}
={6}
At the end we have to find union
(A∩B)U(A∩B') = {6} U {5,9}
(A∩B)U(A∩B') = {5,6,9}
Hence,
The result is: {5,6,9}
Keywords: Sets , Union
Learn more about sets at:
#LearnwithBrainly
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer:
4,000 meters
Step-by-step explanation:
The conversion from kilometers to meters is 1 kilometer equals 1,000 meters. So times the conversion by 4 to get 4,000 meters.
61.23 square inches of metal is needed to create a cylindrical can.
Solution:
Diameter of the base = 3 in
Radius of the base = 3 ÷ 2 = 1.5 in
Height of the cylinder = 5 in
The value of π = 3.14
<u>To find the surface area of the cylinder:</u>
Surface area of the cylinder = 
= 2 × 3.14 × (1.5)² + 2 × 3.14 × 1.5 × 5
= 14.13 + 47.1
Surface area of the cylinder = 61.23 sq. in
Hence 61.23 square inches of metal is needed to create a cylindrical can.
