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omeli [17]
2 years ago
13

Find the circumference in feet.

Mathematics
1 answer:
Rama09 [41]2 years ago
3 0

Answer:

C≈25.13ft

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274ft

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Question 1: Find the distance between the points (1, 4) and (5, 1).
Anit [1.1K]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(5-1)^2+(1-4)^2}\implies d=\sqrt{4^2+(-3)^2} \\\\\\ d=\sqrt{16+9}\implies d=\sqrt{25}\implies d=5

6 0
3 years ago
Read 2 more answers
For his exercise today, Manuel plans to both run and swim. Let r be the number of laps he runs and lets be the number of laps he
QveST [7]

Answer:

The Inequality describing the situation is 3r+2s>45.

Step-by-step explanation:

Let the number of laps he runs be 'r'

Let the number of laps he swims be 's'

Now Given:

Time required to run each lap = 3 min

Time required to swim each lap = 2 min

Total minutes he need to exercise more than 45

we need to write the Inequality representing the same.

Solution:

Now we can say that;

Time required to run each lap multiplied by the number of laps he runs plus Time required to swim each lap multiplied by the number of laps he swims should be greater than Total minutes he need to exercise.

framing in equation form we get;

3r+2s>45

Hence The Inequality describing the situation is 3r+2s>45.

6 0
2 years ago
Find the solution(s) of the system of equations:
murzikaleks [220]

The solutions are (0, - 6) ,(7, 8)

The given system of equations is expressed as

y = x² - 5x - 6- - - - - - - - - - - - (1)

y = 2x - 6- - - - - - - - - - - (2)

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² - 5x - 6 = 2x - 6

x² - 5x - 6 = 2x - 6

x² - 5x - 2x - 6 + 6 = 0

x² - 7x = 0

x(x - 7) = 0

x = 0 or x - 7 = 0

x = 7 or x = 0

Substituting x = 0 into equation 2, it becomes

y = 2 × 0 - 6

y = - 6

Substituting x = 7 into equation 2, it becomes

y = 2 × 7 - 6

y = 14 - 6

y = 8

For more information about quadratic equations, visit brainly.com/question/1214333

#SPJ9

7 0
1 year ago
In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at
GrogVix [38]

Answer:

$18.15  

Step-by-step explanation:

We have been given that In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.

To find sales tax paid by Yuki for her handbag purchase we will find 4.6% of $220 and 3.65% of $220 and add amount of both taxes.  

\text{Total sales tax amount}=\text{State sales tax amount}+\text{ County sales tax amount}

\text{State sales tax for handbag}=220\times\frac{4.6}{100}        

\text{State sales tax for handbag}=22\times 0.46

\text{State sales tax for handbag}=10.12

Now let us find county sales tax for handbag purchase.

\text{County sales tax for handbag}=220\times\frac{3.65}{100}

\text{County sales tax for handbag}=22\times 0.365

\text{County sales tax for handbag}=8.03

Now let us add both amount to get total tax paid by Yuki.

\text{Total sales tax}=10.12+8.03

\text{Total sales tax}=18.15

Therefore, Yuki paid $18.15 sales tax for her handbag purchase.  


8 0
2 years ago
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Convert the following angle from degrees to radians. Express your answer in simplest form.
NeX [460]

Answer:

3.40 rad

Step-by-step explanation:

8 0
2 years ago
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