<h3>
Answer: B. 781.6 feet approximately</h3>
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Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
Answer:
<em>x = -10</em>
Step-by-step explanation:
(9/2)(8 - x) + 36 = 102 - (5/2)(3x + 24)
Multiply both sides by 2.
9(8 - x) + 2 * 36 = 2 * 102 - 5(3x + 24)
Distribute on both sides.
72 - 9x + 72 = 204 - 15x - 120
Combine like terms on each side.
144 - 9x = 84 - 15x
Subtract 144 from both sides. Add 15x to both sides.
6x = -60
Divide both sides by 6.
x = -10
Answer:
The sample size is 
Step-by-step explanation:
From the we are told that
The population proportion is p = 0.90
The margin of error is E = 0.01
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally the sample size is mathematically represented as
![n =[ \frac{ Z_{\frac{\alpha }{2} } }{E} ]^2 * p(1-p)](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7B%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%20%7D%7BE%7D%20%5D%5E2%20%2A%20p%281-p%29)
=> ![n =[ \frac{ 1.96 }{0.01} ]^2 * 0.90(1-0.90)](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7B%201.96%20%20%7D%7B0.01%7D%20%5D%5E2%20%2A%200.90%281-0.90%29)
=>
Answer:
11
Step by step explanation:
2x4=8
8+3=11
The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
<h3>What is equation?</h3>
Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.
All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.
We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1
Let solve for y = 2/5x-1
in 6x - 15y = 15
⇒ 6x - 15(2/5x-1) = 15
⇒ 6x - 6x + 15 = 15
⇒ 15 = 15
⇒ This mans they have slope
⇒ 6x - 15y = 15 in y-intercept form
⇒ 15y = 6x - 15
⇒ 15y = 6x - 15
⇒ y = (6x - 15)15
⇒ y = 2/5x - 1
Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
Learn more about equation
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