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anastassius [24]
3 years ago
5

If you have the circumference of a circle. How do you find the radius?

Mathematics
1 answer:
algol133 years ago
6 0

The formula for finding c...” No, you would divide it. The formula for finding circumference is 2 x pi x r, where r is the radius. 2 x r = d, where d is diameter.

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Find the equation of the line with a slope of 2/5 and containing the point (10,6).
Kipish [7]

Use the poin-slope form of the equation of a line:-


y - y1 = m(x - x1) (where m = slope and the point is (x1, y1))


Plugging in the given values:-


y - 6 = 2/5(x - 10)


multiplying through by 5:-


5y - 30 = 2(x - 10)

5y - 30 = 2x - 20

5y = 2x + 10


In standard form the equation is


2x - 5y = -10 (answer)



4 0
3 years ago
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelog
natita [175]

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}

\angle GAB = cos^{-1} \left (\dfrac{36}{39}  \right )

∠GAB = 22.62°

cos(\angle GAB) =  \dfrac{36}{39} = \dfrac{12}{GH}

GH =  \dfrac{39}{36} \times {12}

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

7 0
3 years ago
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At 11:30 am the bottle is 1/4 of the way full . At what time will the bottle be 1/2 full
Marta_Voda [28]

Answer:

Step-by-step explanation:

11:35 or b

5 0
3 years ago
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For a giveaway, a local radio station is putting together goodie bags. The bags include tickets and posters. Each bag will recei
Doss [256]
36 goodie bags can be created in total because there are only 36 posters.
4 0
3 years ago
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Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael's accoun
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$30.75 x 12 = 369
$550-$369 =$181
7 0
3 years ago
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