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Which type of logical fallacy is being presented in the argument below? “Officer, I apologize for running through the tollbooth without paying. I really think you should let me go with a warning because I just got laid off from my job today. I was crying and I didn’t even see the tollbooth and if you give me a ticket, I don’t know how I’m going to pay for it now that I’m unemployed.” A. appeal to common opinion B. personal attack C. false dilemma D. appeal to pity



Which type of logical fallacy is being presented in the argument below? “Officer, I apologize for running through the tollbooth without paying. I really think you should let me go with a warning because I just got laid off from my job today. I was crying and I didn’t even see the tollbooth and if you give me a ticket, I don’t know how I’m going to pay for it now that I’m unemployed.” A. appeal to common opinion B. personal attack C. false dilemma D. appeal to pity

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I ___ in bed for several hours because i have such a bad headache. A. am laying B. have lain C. have laid D. lay * Most Likely Its C But To Be On The Safe Said, Im Not Sure *



I ___ in bed for several hours because i have such a bad headache. A. am laying B. have lain C. have laid D. lay * Most Likely Its C But To Be On The Safe Said, Im Not Sure *

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A barrel shaped like a cylinder is laid on its side and rolled up a ramp that is 92m long. The barrel has a circular base that turns 46 times in being rolled up the ramp. What is the diameter of the circular base?


Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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Which of the following statements best explains why tensions exist between Israel and the Arab world? A. They speak different languages but live in the same region. B. Israel has rejected the peace process and failed to meet peace obligations. C. Arabs have been involved in terrorist attacks on Israel. D. Both have laid claim to the same land that has cultural importance to both Arabs and Jews.


President Andrew Jackson’s policies affected American Indians as they called for the relocation of American Indians to western lands.

In his first annual message to Congress on December 8, 1829, Jackson argued that the best place for indigenous tribes would be the lands west of the Mississippi River. Congress, in turn, was in the process of creating its own legislation regarding the relocation of indigenous people. There were many congressmen who supported Jackson’s goals. On May 26, 1830 the Congress approved the Indian Removal Act, legislation that Jackson signed. The law gave the President the power to negotiate treaties where lands were purchased in the east in exchange for land to the west, outside the American border. The passage of the bill was Jackson’s first legislative triumph and marked the true entrance of the Democratic Party to American society.