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exis [7]
4 years ago
7

Need help ASAP.

Mathematics
1 answer:
hram777 [196]4 years ago
3 0

Answer:

Option A. Rectangle

Step-by-step explanation:

we know that

If a cross section of the paperweight is cut parallel to the base, then the shape of the cross section will be equal to the base

The base is a rectangle with dimensions length 10 cm, width 4 cm

therefore

The cross section is a rectangle  with dimensions length 10 cm, width 4 cm

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An ellipse is centered at the origin. Find it’s equation.
MA_775_DIABLO [31]

Answer:

(x)^2        (y)^2

---------- + --------- = 1

 4              3

Step-by-step explanation:

The standard equation for an ellipse is

(x-h)^2     (y-k)^2

---------- + --------- = 1

a^2            b^2

The center is at (h,k)

The vertices are at (h±a, k)

The foci are at (h±c,k )

Where c is sqrt(a^2 - b^2)

It is centered at the origin so h,k are zero

(x)^2        (y)^2

---------- + --------- = 1

a^2            b^2

The center is at (0,0)

The vertices are at (0±a, 0)

The foci are at (0±c,0 )

The vertices are (±2,0)  so a =2

The foci is 1

c = sqrt(a^2 - b^2)

1 = sqrt(2^2 - b^2)

Square each side

1 = 4-b^2

Subtract 4 from each side

1-4 = -b^2

-3 = -b^2

3= b^2

Take the square root

b=sqrt(3)

(x)^2        (y)^2

---------- + --------- = 1

 4              3

4 0
3 years ago
Which equation matches the graph of the greatest integer function given
bekas [8.4K]

The equation that matches the graph of the greatest integer function is y = [x] - 2

<h3>How to determine the equation?</h3>

The parent function of an step function is represented as:

y = [x]

From the given graph, we can see that the lines are shifted 2 units down.

This means that:

(x,y) = (x,y - 2)

So, we have:

y = [x] - 2

Hence, the equation that matches the graph of the greatest integer function is y = [x] - 2

Read more about step function at:

brainly.com/question/4074174

#SPJ1

6 0
2 years ago
your class is taking a field trip. you can travel in school district buses and chartered buses. a school bus holds 50 people and
Zinaida [17]
Do we divide this.....
5 0
3 years ago
Answer C and D please
DENIUS [597]

Answer:

C. solution:

3(3c-2) = 5(2c-1)

or, 9c-6 = 10c-5

or, -6+5 =<em> </em>10c-9c

or, -1 = 1c

Hence, c = -1.

D. solution:

5(5-2a) = 4(6-a)

or, 25-10a = 24 - 4a

or, 25-24 = -4a+10a

or, 1 = 6a

or, 1/6 = a

Hence, a = 1/6.

6 0
3 years ago
Dobbs Bowling Company made a profit of $1,588 during the month of December. The company models its profit, P, using the formula
quester [9]

Answer: 42  bowls were sold in the month of December.

Step-by-step explanation:

Here, The company models its profit, P, using the formula P=u^2-4 u-8, where u is the number of bowling balls the company sells.

Since, Dobbs Bowling Company made a profit of $1,588 during the month of December.

Therefore,  1588=u^2-4 u-8

⇒  u^2-4 u-8=1588

⇒  u^2-4 u-1596=0

⇒   u^2-42u+38u-1596=0

⇒   u(u-42)+38(u-42)=0

⇒   (u+38)(u-42)=0

⇒  u = 42 and -38    

Since, The number of balls can not be negative.

Therefore, total number of the bowling balls in December that are sold = 42


7 0
3 years ago
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