Answer:
x = 46
Step-by-step explanation:
Here, we want to get the value of the angle marked x
From the diagram given , the two angles that are other than x can be gotten from the value of their supplements
Angles on a straight line are supplementary as they add up to 180
Thus, mathematically;
(180-130) + (180-96) + x = 180
50 + 84 + x = 180
x = 180-50-84 = 46
I believe it is 17,400,100. :)
Answer:
8 cylinders
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +l) . . . . . for radius r and length l
__
The cylinders Rufus has each have an area of ...
A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²
That means 2500 cm² of paint will cover ...
2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders
Rufus has enough paint to cover 8 cylinders completely.
![\frac { 7 }{ 28 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%207%20%7D%7B%2028%20%7D%20)
28 is 4 times 7, so we will rewrite it like that.
![28=4\cdot 7\\ \\ \frac { 7 }{ 28 } =\frac { 7 }{ 4\cdot 7 }](https://tex.z-dn.net/?f=28%3D4%5Ccdot%207%5C%5C%20%5C%5C%20%5Cfrac%20%7B%207%20%7D%7B%2028%20%7D%20%3D%5Cfrac%20%7B%207%20%7D%7B%204%5Ccdot%207%20%7D%20)
7 is 7 times 7, so we will rewrite it like that.
![\frac { 7 }{ 28 } =\frac { 7 }{ 4\cdot 7 } =\frac { 1\cdot 7 }{ 4\cdot 7 } =\frac { 1 }{ 4 } \cdot \frac { 7 }{ 7 } =\frac { 1 }{ 4 } \cdot 1=\frac { 1 }{ 4 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%207%20%7D%7B%2028%20%7D%20%3D%5Cfrac%20%7B%207%20%7D%7B%204%5Ccdot%207%20%7D%20%3D%5Cfrac%20%7B%201%5Ccdot%207%20%7D%7B%204%5Ccdot%207%20%7D%20%3D%5Cfrac%20%7B%201%20%7D%7B%204%20%7D%20%5Ccdot%20%5Cfrac%20%7B%207%20%7D%7B%207%20%7D%20%3D%5Cfrac%20%7B%201%20%7D%7B%204%20%7D%20%5Ccdot%201%3D%5Cfrac%20%7B%201%20%7D%7B%204%20%7D%20)
So the simplest form is,
Answer:
x-intercept ⇨ -1/3
y-intercept ⇨ 1
Step-by-step explanation:
⟺ Finding the x-intercept, substitute y = 0
![y=3x+1\\0=3x+1\\3x+1=0\\](https://tex.z-dn.net/?f=y%3D3x%2B1%5C%5C0%3D3x%2B1%5C%5C3x%2B1%3D0%5C%5C)
Move 1 to subtract the another side.
![3x=-1](https://tex.z-dn.net/?f=3x%3D-1)
Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.
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⟺ Finding the y-intercept, substitute x = 0
![y=3x+1\\y=3(0)+1\\y=0+1](https://tex.z-dn.net/?f=y%3D3x%2B1%5C%5Cy%3D3%280%29%2B1%5C%5Cy%3D0%2B1)
#
Tips:
Here's the tips about finding the intercepts of the graph.
⟺ For x-intercept, It's like solving an equation to find the x-term.
⟺ For y-intercept, It's like using the constant to answer.
As for y = mx+b where m = slope and b = y-intercept.
For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.