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Lubov Fominskaja [6]
3 years ago
14

a cross section of a parabolic satellite dish can be modeled by the equation y=1/48x^2. How far from the vertex of the cross sec

tion? Explain
Mathematics
1 answer:
KiRa [710]3 years ago
7 0
<span>place vertex at (0,0) basic equation: x^2=4py p=distance from vertex to focus) y=at ends of parabolic cross section y = x^2/4p Given y= 1/48x^2 So, 1/48x^2=X*2/4p 1/4p = 1/48 4p = 48 p = 48/4 = 12 ft</span>
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George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George weigh?
lyudmila [28]

Easy Algebra question!

Let's use "x" as a variable.

The equation would be x+x+60 = 240 with "x" being George's weight.

Subtract 60 from both sides and you get 2x = 180.

From there you divide both sides by 2, getting x=90.

"x" is George's weight, so he weighs 90 pounds.

ANSWER: 90 POUNDS

7 0
3 years ago
Tom made 5,000 mL of soup. He packed 2.5 liters of the soup in his kids' lunches. He froze the rest of the soup. How many millil
MakcuM [25]

Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

5000 - 2500 = 2500 ml

7 0
3 years ago
A bedroom has a length of x+ 3 feet and a width of x-1 feet. Write a polynomial to express the area of the bedroom. Then calcula
jekas [21]

Answer:

Step-by-step explanation:

Length = x+3

Width = x-1

Area = l*b

where l is the length of the bedroom

and b is the breadth or width of the bedroom

The polynomial can be written as:

Area=(x+3)(x-1)

Now we will find the area of the room when x=10

First we will find the values of length and width.

Length = x+3

Length = 10+3 = 13

Width = x-1

Width = 10-1=9

Now put the values in the formula:

Area=l*b

Area=13*9

Area = 117 square feet....

3 0
3 years ago
What is 16,407 decreased by 8,300
storchak [24]
The answer would be 8,107
4 0
4 years ago
The hypotenuse of a right triangle is 4 feet
zaharov [31]

Answer:

514 feet

Step-by-step explanation:

Just simply use the pythagorean thereom:

a^2 +b^2 = c^2

put in the values of a, b, and c with the side lengths of the triangle:

x feet, 64 feet, and x+4 feet

x^2 +64^2 = (x+4)^2 , thus x =510

the hypotenuse = x+4 feet = 510 + 4 = 514

ANSWER: 514 feet

3 0
3 years ago
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