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Anna35 [415]
3 years ago
12

A spinner travels around a circle. The radius is 3 inches. Mike spins the spinner and it travels completely around the circle 5

times. About how far did the tip of the spinner travel?
Mathematics
2 answers:
nignag [31]3 years ago
7 0

Answer:

The spinner travelled 94.2 inches.

Step-by-step explanation:

In order to solve this question we first need to calculate the length of the circle, that is given by the following formula:

length = 2*pi*r

length = 2*3.14*3 = 18.84 inches

Since the spinner revolved around the circle 5 times, the distance travelled by the tip is the length of the circle multiplied by 5, as shown below:

distance = length*5

distance = 18.84*5 = 94.2 inches

The spinner travelled 94.2 inches.

Elis [28]3 years ago
4 0

Answer:

94.2 inches.

Step-by-step explanation:

The length of the circle can be determined by

length 'l'= 2πr

l = 2 x 3.14 x 3 = 18.84 inches

As the spinner and it travels completely around the circle 5 times, therefore, we'll have the distance of

distance = l x 5

distance = 18.84 x 5 => 94.2 inches

Thus, the tip of the spinner traveled 94.2 inches.

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At the ice cream parlor,sundaes cost $4.25 and waffle cones cost $3.75.You and your friends have $50 to spend.Your group buys 5
stich3 [128]

Answer:

You can buy 7 waffle cones.

Step-by-step explanation:

Let sundae = x

Let waffle cones = y

4.25x + 3.75y ≤ 50

4.25 (5) + 3.75y ≤ 50

21.25 + 3.75y ≤ 50

3.75y ≤ 28.75

y ≤ 7.666666666

* round to the nearest whole to get 7

6 0
3 years ago
Add 19 to me. Then subtract 4. If you divide me by 3 and then
Misha Larkins [42]

Answer:

Step-by-step explanation:

3 0
2 years ago
Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> In 2x - In(3x - 1) = 0
LenKa [72]

Answer:

\frac{-1}{3x^2-x}

Step-by-step explanation:

  1. If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
  2. When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)=\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}

h(x)=In(3x - 1) then h'(x)=\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}

7 0
3 years ago
Renee was able to plant 15 plant in 5min at this rate how many flowers could she paint plant in 45 min
Sedbober [7]

Answer:

Answer is 135 plant

Step-by-step explanation:

We have given that,

In 5 min Renee can plant 15 plant.

That means in one minute Renee can plant \frac{15}{5} plant.

i.e. Rate of planting = 3 plant per minute

So, In 45 minutes , she can plant  45×3 plant

i.e Plant she can plant in 45 minute = 135 plant

6 0
3 years ago
Question 10 (7 points) d Elizabeth borrowed $20,000 for five years at a 5% annual interest rate, what is her monthly payment, to
zhenek [66]

Answer:

monthly payment is $377

C is the correct option.

Step-by-step explanation:

The formula for the monthly payment is given by

C=\frac{Prt(1+r)^n}{(1+r)^n-1}

Given that,

P =  $20,000

n = 5 years = 60 months

r = 0.05

Substituting these values in the formula

C=\frac{20000\cdot \frac{0.05}{12}(1+\frac{0.05}{12})^{60}}{(1+\frac{0.05}{12})^{60}-1}

On simplifying, we get

C=\$377.425\\\\C\approx \$377

Therefore, the monthly payment is $377

C is the correct option.

4 0
3 years ago
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