<h3>Answer: approximately 63.43 degrees</h3>
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Work Shown:
Locate the intersection points
f(x) = g(x)
x^2 + 2x + 1 = 1
x^2 + 2x = 1-1
x^2 + 2x = 0
x(x+2) = 0
x = 0 or x+2 = 0
x = 0 or x = -2
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Compute the derivative
f(x) = x^2 + 2x + 1
f ' (x) = 2x + 2
Then plug in each solution x value we found earlier
f ' (0) = 2(0) + 2 = 2
The slope of the tangent line at the intersection point (0,1) is m = 2
The tangent line is y = 2x+1
The angle between the lines y = 1 and y = 2x+1 is arctan(2) = 63.43 degrees approximately
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Plug x = -2 into the derivative function
f ' (x) = 2x+2
f ' (-2) = 2(-2)+2
f ' (-2) = -2
The slope of the tangent line at (-2,1) is m = -2
The tangent line here is y = -2x-3
The angle between the lines y = 1 and y = -2x-3 is also 63.43 through similar reasoning as before.
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See the diagram below.
Answer:
Step-by-step explanation:
Given that there are six different toys and they are to be distributed to three different children.
The restraint here is each child gets atleast one toy.
Let us consider the situation as this.
Since each child has to get atleast one toy no of ways to distribute
any 3 toys to the three children each. This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways
So 3 toys to each one in 6x5x4 =120 ways
Now remaining 3 toys can be given to any child.
Hence remaining 3 toys can be distributed in 3x3x3 =27 ways
Total no of ways
= 120(27)
= 3240
The number which is express in each of the models as given in the image attached to the task content are as follows;
a). 1.37
b). 1.37
c). 1.37.
<h3>What numbers are expressed according to the given models in the task content?</h3>
It follows from the task content that the models describe that One flat represents 1 whole, One rod represents 1 tenth and one unit represents 1 hundredth.
It therefore follows from the task content that in each of the models, the algebraic sum of flat(s), rods and units as the case may be results in the value; 1.37 as the utmost number represented by the models.
Read more on place values;
brainly.com/question/2041524
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Answer:
Percentage decrease in surface area =
Step-by-step explanation:
Given: A right circular cylinder has a radius of 6 inches and a height of 4 inches.
To find: percent change in surface area of the cylinder if height and radius are decreased by 10%
Solution:
Original radius of cylinder (r) = 6 inches
Original height of cylinder (h) = 4 inches
Original surface area of cylinder (a) =
New radius of cylinder (R) = inches
New height of cylinder (H) =
New surface area of cylinder (A) =
Decrease in surface area =
Percentage decrease in surface area =