The diagram shows a sphere with center O and a radius of 6 inches that has been cut by a plane. The cross-section formed by the plane is shaded.




Which shape is a possible representation of the cross-section?

The collinear points with A and B are:

- A, B, R

- B, D, T

- C, D, U

- B, S, G (where G is the centroid of AEDC).

In the given pyramid BAEDC, the collinear points with points A and B are determined by the midpoints and the line coming from B.

1. Midpoint of BA is R:

  - Points A, B, and R are collinear.

2. Midpoint of BD is T:

  - Points B, D, and T are collinear.

3. Midpoint of CD is U:

  - Points C, D, and U are collinear.

4. Line coming from B meets at S, the midpoint of AEDC:

  - Points A, E, D, C, and B are vertices of the pyramid, and S is the midpoint of the line segment connecting B to the centroid of the base AEDC.

  - Therefore, points B, S, and the centroid (G) of AEDC are collinear.

In summary, the collinear points with A and B are:

- A, B, R

- B, D, T

- C, D, U

- B, S, G (where G is the centroid of AEDC).

Answer:

False.

Step-by-step explanation:

[tex] \dfrac{1}{x^{-3}} = x^3 [/tex]

[tex] x^3 [/tex] is a simplified expression. The given expression is not simplified.

The median is 6. I hope this helps you out.

The Answer would be 5.5 because it splits between 6 and 5 and the median would be 5.5.

Answer:

4 tickets were sold

Step-by-step explanation:if you have 100 of anything. 5 sets of 20=100

Answer:

Answer: x = 100

Step-by-step explanation:

(20)(x) = (5)(x) = 20/5 = 5x/5 = 100

I just answered and got it correct.

Answer: 93 grams Zinc

Step-by-step explanation:

3 Zinc : 13 Copper

x 31       x 31            

93 Zinc,     403 Copper

or

set up a proportion, cross multiply, and solve for the variable:

[tex]\frac{Zinc}{Copper}: \frac{3}{13} = \frac{x}{403}[/tex]

3(403) = 13(x)

[tex]\frac{3(403)}{13} = x[/tex]

3(31) = x

93 = x

The amount of zinc in the chemical is determined by using the given ratio of zinc to copper and applying it to the given amount of copper. Step-by-step calculations reveal the quantity of zinc to be 93 grams.

The question is asking for the amount of zinc in a chemical where the ratio of zinc to copper is 3:13. To find out this, we need to solve for zinc in terms of the given amount of copper.

First, understand that the ratio means for every 3 grams of zinc, there are 13 grams of copper. Now, simply set up a proportion where 3/13 = x/403. Here x is the amount of zinc in grams we are trying to find. 3/13 is the zinc to copper ratio and 403 is the known amount of copper in grams.

When you cross multiply and solve for x, you'll find that x = 3 * 403 / 13 = 93 grams. This means, if there are 403 grams of copper, then there must be "93 grams of zinc".

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Answer: Option D. 1,778

Solution:

Standard brick:

Width: w=3.625 in

Height: h=2.25 in

Length: l=7.625 in

Volumen of one standard brick: v

v=w*h*l

v=(3.625 in)*(2.25 in)*(7.625 in)

v=62.19140625 in^3

Pallet of bricks:

Side: s=4 feet

s=(4 feet)*(12 in / 1 feet)→s=48 in

Volume of a pallet of bricks: V=s^3

V=(48 in)^3

V=110,592 in^3

Number of bricks could be in  a pallet: n

n=V/v

n=(110,592 in^3) / (62.19140625 in^3)

n=1,778.252119

n=1,778

Can someone confirm if this is the answer or not?

[tex]\left\{\begin{array}{ccc}-\dfrac{1}{4}x+y=-2&|\cdot4\\-x+4y=-8\end{array}\right\\\\\left\{\begin{array}{ccc}-x+4y=-8\\-x+4y=-8\end{array}\right\\\\-x+4y=-8\ \ \ \ |+x\\4y=x-8\ \ \ \ |:4\\y=\dfrac{1}{4}x+2\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\\\y=\dfrac{1}{4}x+2\end{array}\right[/tex]

Let x represent the amount of savings

[tex]\frac{3}{4}[/tex] of savings minus tv equals zero

[tex]\frac{3}{4}x[/tex] - 200 = 0

[tex]\frac{3}{4}x[/tex] = 200

3x = 4(200)

[tex]x = \frac{4(200)}{3}[/tex]

x = 266.67

Answer: $266.67

629g < box + cereal < 633g

629g - 5g = 624g

633g - 5g = 628g

Answer: a. 624 < x < 628

Total number of baseball cards Jessica has = 1368 cards.

Total number of baseball cards Thomas has = 1633 cards.

We need to find who has more baseball cards.

We can see 1633 is greater than 1368, because we have hundreds digit in 1633 is 6 and hundreds digit in 1368 is 3.

6 is greater than 3.  Therefore 1633 is greater than 1368.

Answer:Thomas

Step-by-step explanation:

1633 > 1368

We are given that initially there were 40 people in the audience.

And an up-and-coming band has seen a 50% monthly increase in the the number of audience members at their concerts.

The number of audience members is represented by y variable and

Number of months is represented by x variable.

So, the exponential function would be

y= a(b)^x

Where a is the initial value, b is the growth factors.

a= 40 and b= 1+ 0.50 = 1.50.

Therefore,

y= 40(1.50)^x is the exponential function situation.

Let us check some point on the graph.

If we plug x=0, we get initial value 40.

If we pug x=2, we get

y=40(1.50)^2 = 40(2.25) = 90.

Graph C represents y=40 at x=0 and y=90 at x=2.

If you're on Plato the answer would be C

We are given

edge of cube =x

we know that formula for volume of cube

[tex]V=x^3[/tex]

we are given

[tex]V=\frac{1}{8} cm^3[/tex]

we can plug value

[tex]x^3=\frac{1}{8} cm^3[/tex]

now, we can solve for x

[tex]\sqrt[3]{x^3} =\sqrt[3]{\frac{1}{8} cm^3 }[/tex]

[tex]x=\frac{1}{2} cm[/tex]............Answer

Answer:

1/2 cm

Step-by-step explanation:

<PTS = <RTQ (vertical angles are equal)

11(y - 10) = 4y - 5

11y - 110 = 4y - 5

7y = 105

y = 15

so

<PTS = 11(15 - 10) = 11(5) = 55

Answer

<PTS = 55°

Answer:

14.64 cm

Step-by-step explanation:

this problem is finding radius of a circle from the circumference given.

Circumference of a circle = 2(3.14) r

Using the above we can find one if we know the other.  In our case we know circumference and calculate radius.

Circumference = 2(3.14)r= 92 cm

Hence r = 92/2(3.14) = 14.6497cm

apprxoximately 14.64 cm is close to the answer

Hence answer is 14.64 cm.

Answer:

14.64 cm

Step-by-step explanation:

The circumference of a planting pot = 92 cm

To find the measurement of the plant which is planted directly planted in the middle of the pot, we need to find the radius of the planting pot.

We know that the formula of the circumference of a circle is:

Circumference = [tex]2\pi r[/tex]

Therefore, putting the value of the circumference in the formula to get:

92 = 2 x 3.14 x r

r = 92 / (3.12 x 2) = 14.64 cm

Therefore the plant is 14.64 cm long.

18x8 is 144

The answer is 144 units^Squared

Answer:  Yolanda's mistake is that she is assuming 105 is same as 10 x 5 .

Explanation:Here 105 represents a three digit number where 1 is at hundreds place,0 is at tens place and 5 is at once place and it can be written as the product  of its factors 5 and 21 i.e 105=5×21 =21+21+21+21+21+21=105(by adding once place and tens place), where as 10×5 represents 5 times number 10 i.e.10+10+10+10+10=50(by adding once place and tens place)

So ,assuming 105 is same as 10 x 5 is her mistake.

Answer:

Option a

Step-by-step explanation:

Given that temperature originally was t.

It was decreasing continuously overnight.

finally the temperature reading was -12.8 degree C

Given that it decreased by 15.2 degree C

This means original temperature -15.2 = new temperature -12.8

i.e. t-15.2 = -12.8 is the correct equation.

Option a is right.

Verify:

Solve to get t = 15.2-12.8 = 2.4

Hence when 2.4 decreases by 15.2 we get new temperature

= 2.4-15.2 = -12.8

Answer:

The ferry can travel [tex]\frac{7}{18}[/tex] of the distance between the two ports in one hour.

Step-by-step explanation:

A ferry traveled [tex]\frac{1}{6}[/tex] of the distance between two ports in [tex]\frac{3}{7}[/tex] hour.

Suppose, the ferry traveled [tex]x[/tex] of the distance between the two ports in one hour.

So, the equation according to the ratio of "distance" to "time" will be.......

[tex]\frac{\frac{1}{6}}{\frac{3}{7}} =\frac{x}{1} \\ \\ x=\frac{1}{6}\times \frac{7}{3}= \frac{7}{18}[/tex]

Thus, the ferry can travel [tex]\frac{7}{18}[/tex] of the distance between the two ports in one hour.

1) Given

2) m∠1 + m∠2 = 90°

3) BD bisects ∠ADC

4) definition of angle bisector

5) definition of congruency

6) m∠1 + m∠3 = 90°

7) ∠1 is complementary to ∠3          (7) definition of complementary

If there is a drop down box, and my answer is not an option, type in the options in the comment box and I will let you know which theorems (or definitions) are the same as my answer.

how did you gett such a hard question (yes im asking in an awnser box)

Answer:

t = 3.5 sec

Step-by-step explanation:

The equation that represents the position of the ball as a function of time is the following:

[tex]h(t) =P_{o} + V_{o}t+\frac{1}{2}2at^2[/tex]

Where:

[tex]P_{o}[/tex] = Initial position of the ball (4 feet tall)

[tex]V_{0}[/tex] = Initial speed of the ball (55feet / s)

a = acceleration (9.8 [tex]\frac{m}{s^2}[/tex], or in this case 32.16[tex]\frac{ft}{s^2}[/tex])

t = time in seconds

Then we want to know how long it takes to get to the ground, for this we equal h (t) = 0 and clear t.

So:

[tex]0 = 4 + 55t -16.08t ^ 2[/tex]

Solving the second degree equation we have:

[tex]\frac{-b+\sqrt{b ^ 2-4ac}}{2a} \\ \frac{-b-\sqrt{b ^ 2-4ac}}{2a}[/tex]

[tex]\frac{-55+\sqrt{55^2-4 (-16.08) 4}}{2 (-16.08)}= -0.0712\\\frac{-55-\sqrt{55^2-4 (-16.08) 4}}{2 (-16.08)} = 3.492[/tex]

t = -0.071 sec

t = 3.5 sec

We must take the positive solution.

So:

t = 3.5 sec

t + 23 > 1     subtract 23 from both sides

t + 23 - 23 > 1 - 23

t > -22

[tex]\dfrac{2}{3}x=26\\\\x=26\div \dfrac{2}{3}=26\cdot\dfrac{3}{2}=39[/tex]

Answer:

Jenni spent 44

Step-by-step explanation:

Let the amount spent by Jenni be x

Let the amount spent by Sara be  2x which also equals 88

2x = 88

x = ?

Cross multiplying gives:

x/2x × 88 = 44

Jenni therefore spent 44

Answer: 4,398,200

Step-by-step explanation:

4, 398, 202    

the underlined 2 is in the 100's place.  look at the number to the right of it.  If that number is greater than or equal to 5, then the 2 is rounded up.  Otherwise, the 2 remains the same.

The number to the right of the underlined 2 is 0, so the 2 remains the same.  All digits to the right will become 0s.

For this case, we have the expression given by:

[tex]a + b = c\\[/tex]

This expression turns out to be generic.

The commutative property of the addition states that the order of the addends does not alter the sum. Thus it is concluded that the previous expression above can be written as:

[tex]b + a = c\\[/tex]

In this way [tex]7 + 4 = 11[/tex], applying the commutative property of the addition, it can be written as:

[tex]4 + 7 = 11\\[/tex]

Answer:

Option A

First take note he only has $20 and the bag he must buy is $12.55. Also the loose seeds are $1.49 per pound.

To solve subtract 12.55 from 20

20-12.55=7.45

So after buying the 10 lb bag he has $7.45 left now divide that by 1.49

7.45/1.49=5

So after buying the 10 lb bag he can also buy 5 lb of the loose seeds!