The answer to this is 2 nickles and 6 quarters
Using the points (5, 1273) and (10, 2546), equation for the line is 5y = 1273x.
<h3>Define equation.</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Given,
Coordinates (5, 1273) and (10,2546)
For slope, m
m = y₂ - y₁/ x₂ - x₁
m = 2546 - 1273/10 -5
m = 1273/5
Equation in y = mx form,
y = 1273/5 x
Cross multiplying,
5y = 1273x
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Answer:
37.9 cm
Step-by-step explanation:
Arc length is:
s = 2πr (θ/360°)
where r is the radius and θ is the arc angle.
40π cm = 2πr (190°/360°)
20 cm = r (190°/360°)
r = 37.9 cm
Answer: b=13.75
Step-by-step explanation:
Use Pythagorean theorem
a^2+b^2=c^2
We know c, the hypotenuse, because the hypotenuse is opposite the right angle. It is 17
We also know a, one of the legs. It is 10.
Plug the number we know into the formula
10^2+b^2=17^2
100+b*2=289
Subtract the 100 on both sides
b^2=189
Take the square root of both sides
b=13.7477271
Rounded to the nearest Hundredth,
b=13.75
Hope this helped! :)
If the length of the garden is 5 more than twice the width, then length = 2 X width + 5.
P = 70
L= 2W + 5
P = 2 X (L + W)
70 = 2 X ((2W+5) + W))
You can take the + 5 out at this point by multiplying it by the 2 outside the brackets (5 for each length)
70 - (2X5) = 2X ((2W) + W)
70 - 10 = 2 X (2W + W)
60 = 2 (3W)
60 = 2*3W
60 = 6W
10 = W
The width is 10.
So what's the length? 2W + 5
Length = 2 * 10 + 5
Length = 25.
Length is 25, width is 10.
Check: 70 = 2 (25 + 10)
70 = 2(35)
70 = 70
Correct!
