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LuckyWell [14K]
3 years ago
11

find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0
(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²

Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²

143.92 = R²  → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :

circumference of a circle = 2π.R = 2.π.12 = 75.41 m

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Solve the equation:<br><br> a) -3 = 7+2t/3<br><br> b) 4(5x-2) = 7(2x+3) <br><br> c) 2x-6 = 30-2.5x
Umnica [9.8K]
Let's start by solving the first equation.

a) -3 = 7 + 2t/3 
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8


Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)
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3 years ago
The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.
Marat540 [252]

<em>Answer:</em>

<em>2</em><em>5</em><em> </em><em>units</em>

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3 years ago
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Ahh, basic shapes. Split up the weird shapes into easier ones. #1 can be truned into 2 trapezoids. #2 can be turned into 2 circles. #3 is a triangle and a trapezoid. #4 is 2 right triangles. #5 is a rectangel and a traingle. Finally, #6 is 3 traigles and a rectangle. Do you see how we broke the hard shapes into easier shapes?
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_______ the problem by formulating assumptions and recognise certain variables and their relations
patriot [66]

Answer:

Research Hypothesis solves the problem by .....

Step-by-step explanation:

Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships

The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.

  • Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
  • Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable

Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement

Y = b0 + b1X ; where

Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y  

  • H0 : b1 = 0 {No significant relationship between X & Y}
  • H1 : b1 ≠ 0 {Significant relationship between X & Y}

This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null  or alternate hypothesis gives the final research conclusion & interpretation

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