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Rina8888 [55]
3 years ago
7

Help please...............

Mathematics
1 answer:
Amanda [17]3 years ago
3 0
The scale factor is 8
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The optimum diameter d (in millimeters) of the pinhole in a pinhole camera can be modeled by d=1.9[(5.5×10−4)L]1/2, where is the
amid [387]

The optimum pinhole diameter for a camera box with a length of 10 centimeters is 0.446 mm

<h3><u>Solution:</u></h3>

Given that,

<h3><u>The optimum diameter d (in millimeters) of the pinhole in a pinhole camera can be modeled by:</u></h3>

d = 1.9[(5.5 \times 10^{-4})l]^{\frac{1}{2}}

where l is the length (in millimeters) of the camera box

<h3><u>Find the optimum pinhole diameter for a camera box with a length of 10 centimeters</u></h3>

l = 10 cm

We know that,

10 cm = 100 mm

<em><u>Therefore, plug in l = 100 in given formula</u></em>

d = 1.9[(5.5 \times 10^{-4}) \times 100]^{\frac{1}{2}}\\\\d = 1.9[5.5 \times 10^{-4} \times 10^2]^{\frac{1}{2}}\\\\d = 1.9[5.5 \times 10^{-2}]^{\frac{1}{2}}\\\\d = 1.9 \times 5.5^{\frac{1}{2} \times 10^{-1}}\\\\d = 0.19 \times 2.345207\\\\d = 0.4455 \approx 0.446

Thus the optimum pinhole diameter for a camera box with a length of 10 centimeters is 0.446 mm

6 0
3 years ago
How do I solve this problem?
FrozenT [24]
You do

5x2/3

5x2 /3

10/3

3 1/3 is your answer.
4 0
2 years ago
Rudy says that the sum of the measures of the exterior angles of a regular hexagon is 720°. Is Rudy correct? Why or why not?
Leviafan [203]

Answer:

Yes, Rudy is correct

Explanation:

Number of sides of a hexagon = 6

The sum of all interior angles of a polygon with n sides  = (n-2)*180

Here, since a regular hexagon has 6 sides, n = 6

= (6 - 2)*180

= 4*180

= 720 degrees

<em>Hope it helps :)</em>

<em>Have a great day!</em>

7 0
2 years ago
Read 2 more answers
Find the slope line (- 6, 1), (4, 8)
AVprozaik [17]

Answer:

The slope is \frac{7}{10}

Step-by-step explanation:

☆Remember:

m =  \frac{y_2 - y_1}{x_2 - x_1}

☆We just plug in now!

m =  \frac{8 - 1}{4 - ( - 6)}  =  \frac{7}{10}

6 0
3 years ago
Two number are in the ratio 5:6 and their sum is 44 .Use z as variable
Mariulka [41]

Answer:

the numbers are 20 and 24

Step-by-step explanation:

The numbers are in the ratio 5 : 6 = 5z : 6z , where z is a multiplier

The numbers sum to 44, thus

5z + 6z = 44

11z = 44 ( divide both sides by 11 )

z = 4

Hence

5z = 5 × 4 = 20

6z = 6 × 4 = 24

The two numbers are 20 and 24

8 0
3 years ago
Read 2 more answers
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