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3 years ago

Solve for x: x = Answers: 22.5 30 45

Mathematics

1 answer:

AVprozaik [17]3 years ago

6 0

Answer: 22.5 degrees

Step-by-Step Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS

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Which example illustrates an improper use of deductive reasoning?

Nikitich [7]

"All isosceles triangles have two congruent sides. abc is a triangle. Therefore abc has two congruent sides" is the statement that is an example that illustrates an improper use of deductive reasoning.

I hope it helps you. :)

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4 years ago

How do I do question 9? Please give answer thank you

kvasek [131]

<h3>Given</h3>

a cone of height 0.4 m and diameter 0.3 m
filling at the rate 0.004 m³/s
fill height of 0.2 m at the time of interest

the rate of change of fill height at the time of interest

<h3>Solution</h3>

The cone is filled to half its depth at the time of interest, so the surface area of the filled portion will be (1/2)² times the surface area of the top of the cone. The filled portion has an area of

... A = (1/4)(π/4)d² = (π/16)(0.3 m)² = 0.09π/16 m²

This area multiplied by the rate of change of fill height (dh/dt) will give the rate of change of volume.

... (0.09π/16 m²)×dh/dt = dV/dt = 0.004 m³/s

Dividing by the coefficient of dh/dt, we get

... dh/dt = 0.004·16/(0.09π) m/s

... dh/dt = 32/(45π) m/s ≈ 0.22635 m/s

_____

You can also write an equation for the filled volume in terms of the filled height, then differentiate and solve for dh/dt. When you do, you find the relation between rates of change of height and area are as described above. We have taken a "shortcut" based on the knowledge gained from solving it this way. (No arithmetic operations are saved. We only avoid the process of taking the derivative.)

Note that the cone dimensions mean the radius is 3/8 of the height.

V = (1/3)πr²h = (1/3)π(3/8·h)²·h = 3π/64·h³

dV/dt = 9π/64·h²·dh/dt

.004 = 9π/64·0.2²·dh/dt . . . substitute the given values

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3 years ago

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uysha [10]

Answer:B. 42, 43

Step-by-step explanation:

STEP 1 Listing out the data set

Country Time with dad

Belgium 30

Canada 44

China 54

Finland 50

Germany 36

Nigeria 42

Sweden 46

United States 42

STEP 2--- finding the mode and median

Mode----The mode of this data set is the number that occurs most frequently in this research date.

Time with dad in ascending order is given as 30, 36, 42, 42, 44,46,50,54

The number that occurred the most is 42 = mode

Median The median is the middle value in a data set

Since these data set is an even number, we take the average of the two middle numbers

Arranging in ascending order, we have

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3 years ago

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3 years ago

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Serhud [2]

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Step-by-step explanation:

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