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- 411 ? Of The Day

kyler s.

Size:
21
!

The picture above shows the front view of a tunnel that extends 250 meters. The shaded area is the concrete roof of the tunnel. Approximately how much concrete was used to build the tunnel?

7850m9760^{3}m14140^{3}m15700^{3}m28280^{3}m^{3}

Cheers! The volume of the roof layer is equal to the volume of the cylinder formed by the outer edge minus the volume of the cylinder formed with the inner edge.

The outer cylinder is (1/2) **lr*^{2} = (1/2)**250*6*^{2}

The inner cylinder is (1/2) **lr*^{2} = (1/2)**250*4*^{2}

Subtracting the two we get 7850*m*^{3}

The outer cylinder is (1/2) *

The inner cylinder is (1/2) *

Subtracting the two we get 7850

Let **z||w** be defined for all **z,w** as **z+w+12**

What is the value of **12||12**?

**12** **24** **36** **48** **144**

The expression **12||12** is defined as the sum of the two numbers, plus **12**. That gives **36**. The math on this one is pretty straightforward, but it can be a little confusing to have so many twelves running around...

Here are the answers that other people have chosen (on their first try)

Let

z||wbe defined for allz,wasz+w+12What is the value of

12%12||12?128%2467%2%364811%144

Unlike her ---- sister, Maria would boldly join the conversation at any gathering.

brash obstinate apathetic timid humorless

brash obstinate apathetic timid humorless

The sentence tells you that Maria and her sister are not alike. **Bold** and **timid** are antonyms or OPPOSITES. Well done!

Here are the answers that other people have chosen (on their first try)

Unlike her ---- sister, Maria would boldly join the conversation at any gathering.

1% brash 7% obstinate 1% apathetic 88%timid3% humorless

Science and justice are two great ---- institutions that fostered Western society's ---- wealth and freedom.

academic . . current European . . detrimental oppressive . . continual secular . . unprecedented financial . . impressive

academic . . current European . . detrimental oppressive . . continual secular . . unprecedented financial . . impressive

How many points are there on the line that are1/2as far fromvas they are fromu?

0 1 2 4 An infinite number of points.

There is one point between **u** and **v**, and one point to the right of **v**. The point between **u** and **v** is 1/3 of the distance from **v** to **u**. The point to the right of **v** is a point beyond **v** a distance equal to the distance between **u** and **v**. That last part sounds complicated, but it just means that you have to travel a certain distance from the point to **v**, and then the same distance again to **u**. The final result is that it is twice as far to **u** as it is to **v**. All points to the left of **u** are closer to **u** than **v**.

Today's question of the day is from the algebra category.Click on an answer choice and then click on 'submit answer' to see if you got it right!

x + 4y = 11x + z = 10

Ifzis one less thany, what is the value ofx?

-1 0 4 11 There is not enough information to solve forx.

There are three equations and three unknowns in this problem. The third equation is just given in words, but you should be able to write out ** y = z + 1** from the sentence. The quickest way to solve this is to subtract the second equation from the first one (this will eliminate **x**), to get ** 4y - z = 1**. Now if we substitute for **y** using the third equation, we get ** 4( z + 1) - z = 1**. So **z = -1** and we quickly find that **x = 11**.

Here are the answers that other people have chosen (on their first try)

x + 4y = 11x + z = 10

Ifzis one less thany, what is the value ofx? 11% -1 15% 0 8% 4 50%1116% There is not enough information to solve forx.

veteran professional detractor child novice

510.823 620.439 126.750 982.453 563.929

0 2 4 5 9

articulated . . uncompromising elucidated . . empirical elaborated . . pacifistic castigated . . apathetic edulcorated . . radical

-5 -3 -2 0 There is not enough information

The movie's ---- tone alienated many viewers; even those who normally liked romantic stories believed it to be too saccharine.

violent

melancholic

sensual

erotic

mawkish

When the wheel spins freely, a point on the outer edge rotates through 720

!

How many degrees is angle y?

35 45 55 65 75

What is the value of

6 9 15 18 24

drifted . . institutions exploded . . realities meandered . . rebellions improved . . landscape stagnated . . environment

tyrannical . . despotic literate . . progressive autocratic . . laconic authoritarian . . reformist demagogic . . liberal

abundance . . formulae absence . . theory battery . . hearsay lack . . experience want . . academics

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