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3 years ago

What is the equation of a circle with the center at (-4,12) and a radius of square root of 3

Mathematics

1 answer:

Wittaler [7]3 years ago

6 0

Answer:

(x + 4)² + (y - 12)² = 3

Step-by-step explanation:

form of circle

(x - h)² + (y - k²) = r²

(h, k) is the center = (-4, 12

r is the radius =√3

------------------------

plug in the givens

(x + 4)² + (y - 12)² = 3

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A dragonfly can beat its wings 30 times a second. write an equation in slioe intercept form that shows the relationship between

ivanzaharov [21]

Answer:

1800

Step-by-step explanation:

Since there is the tragon fly beat his wings 30 times a second ,there is 60 hundredths of a second in a second multiply 30 x 60 and you should get 1800.

mulitiply 0x0 = 0

2. mulitiply 6x0=0

3. multiply 3x0=0

4. mulitiply 6x3 = 18

5. have 1800

or you can just multiply 6x3 = 18 and add the two zeros

6 0

3 years ago

Find the area of the figure plz

uranmaximum [27]

Answer:

72.5ft

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Pavel [41]

Answer:

Length $=25$ inches

Width $= 15$ inches

Step-by-step explanation:

Let $l$ = length of rectangle, $w$ = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

$lw = 375$

$2l+2w=80$

So:

$l+w = 80\div2$

$=40$

$l=40-w$

Now, we can use substitution to find the value of $w$ :

$lw = 375$

$(40-w)w = 375$

$40w-w^2 = 375$

$375+w^2-40w = 0$ (Quadratic equation)

$(w-15)(w-25) = 0$

∴ $w = 15, 25$

We can use substitution again to find the value of $l$

$lw = 375$

$l=375\div w$

$=25,15$

∵ Length usually refers to the longer side of a rectangle, ∴ length $=25$ inches and width $=15$ inches.

Hope this helps :)

8 0

3 years ago

Find the value of x.

Leona [35]

Answer:

$\boxed{\text{\sf \Large 3}}$

Step-by-step explanation:

Angles in a triangle add up to 180°

$180-(24x+3+25x)$

$-49x+177$

Angles on a straight line add up to 180°

$-49x+177+150=180$

$x=3$

5 0

3 years ago

Convert the following:<br> 110110two to base ten<br> 25ten to base two<br>

blagie [28]

Answer:

110110 in base 2 when converted in base 10 will be equal to 54
25 in base 10 is equal to 1001 base 2

Step-by-step explanation:

Part 1: 110110two to base ten

For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2

$=1*2^5 + 1 * 2^4 + 0 * 2^3 + 1 *2^2 + 1* 2^1 + 0*2^0\\ =1*32+ 1* 16 + 0 + 1*4 + 1*2 +0\\ =32 + 16 +4 + 2\\ = 54$

So 110110two when converted in base 10 will be equal to 54

Part 2: 25ten to base two

For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:

25/2 = 12 remainder 1

12/2 = 6 remainder 0

6/2 = 3 remainder 0

3/2 = 1 remainder 1

Now the remainders will be written in inverse order as:

=1001 base 2

So 25 in base 10 is equal to 1001 base 2

I hope it will help you!

7 0

4 years ago