Answer:
Check the graph below to see the Budget constraint (1,000)
Step-by-step explanation:
To answer this question firstly we have to label this value $1,000, as our budget constraint. It means our budget cannot be surpassed.
Let's work with this equation x+y=1000. Rewrite into this form y=1000-x then graph it, like a regular linear function.
The Budget line represents graphically all the combinations x+y=1,000. The range shows us all values y∈ [0, 1000] and the domain are the values such as 0 ≤x≤1000. Each point over the Budget line represents a possible combination such as x+y=100.
x | y | x+y
50(20) =1000 | 0 | 1000
200 | 800 | 1000
10x+8y
(...)
Answer:
![c=4 \sqrt{2}](https://tex.z-dn.net/?f=c%3D4%20%5Csqrt%7B2%7D)
Step-by-step explanation:
<u>Pythagoras Theorem</u>
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
where:
- a and b are the <em>legs</em> of the right triangle
- c is the <em>hypotenuse </em>(longest side) of the right triangle
Given values:
Substitute the given values into Pythagoras Theorem formula and <u>solve for c</u>:
![\begin{aligned}a^2+b^2 & = c^2 \\\implies 4^2+4^2 & =c^2\\16+16 & =c^2\\32 & =c^2\\ \sqrt{c^2}& =\sqrt{32}\\ c & =\sqrt{16 \cdot 2}\\& = \sqrt{16}\sqrt{2}\\& =4\sqrt{2}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Da%5E2%2Bb%5E2%20%26%20%3D%20c%5E2%20%5C%5C%5Cimplies%204%5E2%2B4%5E2%20%26%20%3Dc%5E2%5C%5C16%2B16%20%26%20%3Dc%5E2%5C%5C32%20%26%20%3Dc%5E2%5C%5C%20%5Csqrt%7Bc%5E2%7D%26%20%3D%5Csqrt%7B32%7D%5C%5C%20c%20%26%20%3D%5Csqrt%7B16%20%5Ccdot%202%7D%5C%5C%26%20%3D%20%5Csqrt%7B16%7D%5Csqrt%7B2%7D%5C%5C%26%20%3D4%5Csqrt%7B2%7D%5Cend%7Baligned%7D)
Therefore, the measure of the third side of the given right triangle is ![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D)
Learn more about Pythagoras Theorem here:
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Answer:
its something common to most i think just dont worry about it the messages you do see are the real stuff if you really want to get rid of that problem tho contact support or who ever is incontrol of brainly
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
(2)2 + 5 = 4 + 5 = 9
Answer:
A. 45°
Step-by-step explanation:
The smallest interior angle measure of any regular polygon is that of an equilateral triangle: 60°.
___
The corresponding exterior angle measure for interior angle x will be its supplement: 180° -x. This value must be a divisor of 360° 360° is not evenly divisible by 180°-45°=135°.