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3 years ago

In circle O, MAXB = 250. What is mZAOB?

Mathematics

1 answer:

lions [1.4K]3 years ago

4 0

Answer:

Radius of a circle

Step-by-step explanation:

1. A line from the center of a circle to a point on the circle.

2. The distance from the center of a circle to a point on the circle.

Try this Drag the orange dot. The blue line will always remain a radius of the circle.

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NO LINKS!! Please help me with this problem

Vera_Pavlovna [14]

Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.

Now,

it's vertex is given, I.e (7 , -5)

so, length of semi transverse axis will be equal to distance of vertex from centre, i.e

a = 7 - 3 = 4 units

Now, it's focus can be represented as ;

$\qquad \sf \dashrightarrow \: (3 + ae, - 5 )$

so,

ae + 3 = 9

and we know, a = 4

$\qquad \sf \dashrightarrow \: 4e + 3 = 9$

$\qquad \sf \dashrightarrow \: 4e = 6$

$\qquad \sf \dashrightarrow \: e = \cfrac{3}{2}$

Now, let's find the measure of semi - conjugate axis (b)

$\qquad \sf \dashrightarrow \: {b}^{2} = {a}^{2} ( {e}^{2} - 1)$

$\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{9}{4} - 1)$

$\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{9 - 4}{4} )$

$\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{5}{4} )$

$\qquad \sf \dashrightarrow \: {b}^{2} = 20$

$\qquad \sf \dashrightarrow \: b = \sqrt{20}$

So, it's time to write the equation of hyperbola, as we already have the values of a and b ~

$\qquad \sf \dashrightarrow \: \cfrac{ {(x - h)}^{2} }{ {a}^{2} } - \cfrac{( {y - k)}^{2} }{ {b}^{2} } = 1$

[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]

$\qquad \sf \dashrightarrow \: \cfrac{ ({x-3)}^{2} }{ {16}^{} } - \dfrac{ {(y+5)}^{2} }{ { {20} }^{} } = 1$

6 0

2 years ago

Read 2 more answers

The number of points scored by the home team at a basketball game is represented by (x+6). The number of points scored by the vi

Ket [755]

Answer:

Step-by-step explanation:

(x + 6) - (3x - 6) Remove the brackets.

x + 6 - 3x + 6 Collect like terms

Difference in points = 12 - 2x

If x = 5 then

Difference in points = 12 - 2*5

Difference in points = 12 - 10

Difference in points = 2

3 0

3 years ago

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.

oksano4ka [1.4K]

Answer:

2 cans

Step-by-step explanation:

Given that :

Radius of pool = 30 feets

Using the relation for the Area of a circle :

Area = pi*r^2

Thus,

Area of pool = 3.14 * 30^2

Area of pool = 3.14 * 900 = 2826feet²

Paints are sold in cans of 5 gallon

5 gallon of paint = 1500 feet²

Least number of 5 gallon can required :

2826 feet² / 1500 feet² = 1.884 cans

Hence,

Least number of 5 gallon can required = 2 cans

7 0

3 years ago

Thxs this is rlly hard part 2

MA_775_DIABLO [31]

41. b
42. c
43. b
44. im not sure

7 0

4 years ago

A bill originally amounting Rs 1550, now amounts to Rs 1736 after adding VAT. Find the VAT rate.kaabil original amounting

Vlad [161]

Answer: 12%

Step-by-step explanation:

Original amount = Rs 1550

VAT = Rs 1736 - Rs 1550 = Rs 186

VAT rate = VAT/Original amount × 100

= 186/1550 × 100

= 18600/1550

= 12%

Therefore, the VAT rate is 12%.

Check:

= Rs 1550 + (12% × Rs 1550)

= Rs 1550 + $186

= Rs 1736

4 0

3 years ago