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VMariaS [17]
3 years ago
5

The width x of your iris decreases from 4 millimeters to 2 millimeters when you enter a dark room. How many times greater is the

area of your pupil after entering the room than before entering the room?
Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

The area of the Iris is 4 times greater.

Step-by-step explanation:

Firstly, we have to realize that we cannot solve this problem without knowing the radius of the iris. because from the information given, the radius of the iris could well be the size of the galaxy and contract from width of 4mm to 2mm and we wouldn't know!

The average radius of the iris is 6mm, so we take this value.

Now, initially the width of the iris is 4mm, that means the radius of the pupil is:

6mm-4mm=2mm

Therefore it's area A is:

A=\pi r^2=\pi (2)^2=4\pi

When the iris contracts to 2mm, the radius of the pupil becomes:

6mm-2mm=4mm

Then it's area is A:

A=\pi r^2=\pi (4)^2=16\pi

To find how many times greater this final area is than the initial area, we just divide it by the initial area:

\frac{16\pi }{4\pi } =4

This is 4 times greater than the initial area.

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Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box
dsp73

we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).

If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.

There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.

Now the volume of rectangular box would also be 630 cubic inches.

We know the formula for volume of rectangular box = length × width × height.

So we need to find any three positive integers whose product is 630.

Out of all given choices, only option A satisfies the condition of factors of 630.

Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.

7 0
3 years ago
Write an equation of a parabola that opens to the left, has a vertex at the origin, and a focus at (–4, 0).
8_murik_8 [283]

Answer:

y^{2}=-16x

Step-by-step explanation:

we know that

The standard equation of a horizontal parabola is equal to  

(y-k)^{2}=4p(x-h)

where

(h,k) is the vertex

(h+p,k) is the focus

In this problem we have

(h,k)=(0,0) ----> vertex at origin

(h+p,k)=(-4,0)

so

h+p=-4

p=-4

substitute the values

(y-0)^{2}=4(-4)(x-0)

y^{2}=-16x

8 0
3 years ago
In a video game, you score p game points and b triple bonus points. an expression for your score is p+3b. what is your score whe
Simora [160]
245+3(20)
245+60
So the final score would be 305
7 0
3 years ago
Read 2 more answers
Divide 25/11 by 5/22<br>​
Igoryamba

Answer:

25/11 divided by 5/22 = 10

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 11 on the left side and the dividend 25 on the right side like this:

           

 1 1 ⟌ 2 5  

Step 2:

The divisor (11) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 1 1 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (11 x 0 = 0) and write that answer below the dividend.

       0    

 1 1 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 1 1 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

 1 1 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (11) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (11 x 2 = 22) and write that answer at the bottom:

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

      2 2  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 22 = 3) and write the answer at the bottom.

       0 2  

 1 1 ⟌ 2 5  

     - 0    

       2 5  

     - 2 2  

         3  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 25 divided by 11 calculated using Long Division is:

7 0
3 years ago
Which equation represent the line which passes through the point (-3, -4) and has a slope of -2?
Oliga [24]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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