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2 years ago

A spherical balloon has a circumference of 25 cm.

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

4 0

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

C = 2πr
25 = 2 x 3.14 x r
r = 25 / 6.28
r = 3.98 cm ≅ 4 cm

Surface Area

4πr²
4 x 3.14 x 4 x 4
3.14 x 64
200.96
201 cm²

Volume

4/3πr³ = 4πr² x r/3
201 x 4/3
67 x 4
268 cm³

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Solve the system by substitution. 2.5x-3y=-13 3.25x-y=-14

MrMuchimi

Answer:

x=-4

y=1

Step-by-step explanation:

For the given system of equations,

2.5x-3y=-13.....eqn(1)

3.25x-y=-14.....eqn(2)

We first make y the subject of eqn (2)

This implies that,

y=3.25x+14.....eqn(3)

We substitute eqn (3) into eqn (1)

2.5x-3(3.25x+14)=-13

2.5x-9.75x-42=-13

-42+13=9.75x-2.5x

-29=7.25x

Dividing through by 7.25, we obtain

x=-4

We now put the value of x into eqn (2)

3.25(-4)-y=-14

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-13+14=y

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3 years ago

Use a protractor to draw a pentagon so that the bottom side is horizontal and the left and right sides are perpendicular to the

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3 years ago

Rectangle has diagonal of 28 and forms a60 degree angle with the bases what are the side lengths

Anna71 [15]

Sine (28) = opposite / hypotenuse =
0.46947 = opposite / 28
opposite = 0.46947 * 28
opposite side = 13.14516 

cosine (28) = adjacent / hypotenuse =
0.88295 = adjacent / 28
adjacent = 28 * .88295
adjacent side = 24.7226 

Double Check

 13.14516^2 + 24.7226^2 = 28^2

 172.7952314256 + 611.20695076 = 784

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3 years ago

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Answer:

a) Cruz = 80000 + 35g + 25a

Gortan = 60000 + 20g + 18a

McKinnon = 100000 + 42g + 30a

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Step-by-step explanation:

g = bonus for goals

a = bonus for assists

a) Cruz = 80000 + 35g + 25a

Gortan = 60000 + 20g + 18a

McKinnon = 100000 + 42g + 30a

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3 years ago

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For what value(s) of x are the following undefined? a 5x^2+x+11/x^2−4

irga5000 [103]

Answer:

Undefined at x = 2 and x = -2

Step-by-step explanation:

(5x²+x+11)/(x²-4)

Function becomes undefined when the denominator goes to zero.

x² - 4 = 0

x = 2, -2

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