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3 years ago

C equals 2 pie r can you solve for r

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

5 0

$C=2 \pi r \ \ \to \ \ r= \cfrac{C}{2 \pi }$

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Calculate the perimeter of the figure below.

mote1985 [20]

Well, we know perimeter is just adding all the lengths together.

And we already know 2 of the lengths, so we know the rest. 11 1/2 is the same as the opposite side, and 6 1/3 is the same as the opposite side.

So the sides are 6 1/3, 6 1/3, 11 1/2, 11 1/2.

Add them up:

6 1/3 + 6 1/3 + 11 1/2 + 11 1/2.

Improper fractions:

19/3 + 19/3 + 23/2 + 23/2.

Common denominator, (6):

38/6 + 38/6 + 69/6 + 69/6 = 214/6.

Simplify:

214/6 = 35 2/3

7 0

3 years ago

If g( n ) = 3 n - 2, then what is the value of g(10)? 4 28 308 24

tino4ka555 [31]

Answer:

Step-by-step explanation:

g(10)=3n-2

10=n

3(10)-2

REMEMBER PEMDAS

Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction.

3(10)=30

30-2=28

Hope this helps have a wonderful evening!

8 0

2 years ago

Simplify the ratio 20:50:100

ad-work [718]

Answer:

2:5:10

Step-by-step explanation:

8 0

3 years ago

A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak

IgorC [24]

Answer

According to newton law of cooling

$\dfrac{d T}{dt} = k (T - T_a)$

and

$T = Ce^{kt} + T_a$

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

$T(0) = Ce^{0} + T_a$

10 = C + 100

C = -90

now,

$12 = -90e^k + 100$

$e^k = \dfrac{88}{90}$

$k = ln{\dfrac{88}{90}}$

at time equal to t

T(t) = 70

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$70 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{3}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})$

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$98 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{45}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})$

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

5 0

2 years ago

Audrey gave a 0.90 tip to a waitress for serving a meal costing $6.00. what percent of the bill was her tip?

maw [93]

Answer:

15% percent of the bill was her tip.

Step-by-step explanation:

Given:

Audrey gave a $0.90 tip to a waitress for serving a meal costing $6.00.

Now, to find the percent of the bill was her tip.

The bill was = $6.00.

The tip she gave = $0.90.

Now, to get the percent of the bill was her tip:

$\frac{The\ tip}{The\ bill}\times 100$

$=\frac{0.90}{6.00} \times 100$

$=0.15\times 100$

$=15\%.$

Therefore, 15% percent of the bill was her tip.

7 0

3 years ago