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ElenaW [278]
3 years ago
12

A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating the parabola x^2=4y around

its axis of symmetry (assume that x and y are in units of inches). In order to have the brightest, most concentrated light beam, how far from the vertex should the bulb be placed? Express your answer as a fraction or a decimal rounded to two decimal places.
Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

  1.00 inches

Step-by-step explanation:

The distance from vertex to focus is "p" in the quadratic equation ...

  x^2 = 4py

In the given equation, p=1. Since units are inches, ...

the bulb should be placed 1.00 inches from the vertex.

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The length of a rectangle is five centimeters less than width. Find the dimensions of the
kondaur [170]

Answer:

w is 10 and l is 5

Step-by-step explanation:

l=w-5

lw=50

w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10

8 0
3 years ago
2. Lawn tickets cost $30 each and seat tickets cost $50
Andreas93 [3]
Okay so.
If lawn tickets are $30 and seat tickets are $50 and they sold 200 seat tickets.
50 multiplied by 200 is = $ 10,000
And the goal is $14,000.
So $14,000 subtract $10,000 is $4000
$4000 is how much they made in Lawn Tickets. In order to calculate how much lawn tickets were sold, is dividing $4000 by $30 since lawn tickets are $30.
4000 divided by $30 = 133
Not sure if this is correct but all the working and steps are correct! Hope this helps.
6 0
3 years ago
enkeli has a bottle that holds 2.4 liters of juice. he divides it evenly into 6 cups. how many milliliters of juice does each of
liberstina [14]

Answer:400

Step-by-step explanation: multiply the volume value of 2.4 liters by 1000 then divide by 6

2.4*1000/6

3 0
3 years ago
What is 120 degrees radians
jek_recluse [69]

Answer:

A 120 degrees in radians=2.0944

Hope this helps.

7 0
3 years ago
Please solve!!! Will make Brainliest!!
posledela

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

3 0
3 years ago
Read 2 more answers
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