384 m²
Explanation:
Since an octogon has 8 sides, it can be split into 8 different triangles.
To find the area of one triangle, use the formula a=bh½, or area=base×height×½. The base it 12m and the height is 8m, so do 8×12=96, then divide by 2 to get 48.
Since there are 8 triangles, multiply the area of 1 triangle by 8, and 48×8=384m².
Hope this helps!
Answer:
The value comes out to be
![x=\frac{1}{2}+\frac{\sqrt{17}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B%5Csqrt%7B17%7D%7D%7B2%7D)
Step-by-step explanation:
The quadratic equation is an equation containing a single variable of degree
. Its general form is
.
The discriminant is the part of the quadratic formula underneath the square root symbol: b²- 4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
The equation we are given is :![x+4=x^{2} \\x^{2} -x-4=0\\](https://tex.z-dn.net/?f=x%2B4%3Dx%5E%7B2%7D%20%5C%5Cx%5E%7B2%7D%20-x-4%3D0%5C%5C)
We know the formula as :
±
×![\frac{1}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2a%7D)
±
×![\frac{1}{2(1)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%281%29%7D)
±![\frac{\sqrt{17} }{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B17%7D%20%7D%7B2%7D%20%7D)
Since
≥![0](https://tex.z-dn.net/?f=0)
Other negative option is neglected
![x=\frac{1}{2}+\frac{\sqrt{17}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B%5Csqrt%7B17%7D%7D%7B2%7D)
Learn more about quadratic equations - brainly.com/question/1214333
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15x over 2 dont know how to do it on computer
Answer:
![x=3](https://tex.z-dn.net/?f=x%3D3)
Step-by-step explanation:
![60/4=15\\15/5=3\\x=3](https://tex.z-dn.net/?f=60%2F4%3D15%5C%5C15%2F5%3D3%5C%5Cx%3D3)
Answer:
2.5 km/h
Step-by-step explanation:
Here we have a distance problem where we are given the distance the time time:
Rate = ?
Time = 2hrs
Distance = 5km
The simplest way to do this is to rearrange the formula to suit our need and plug in the numbers:
![R*T=D\\R*\frac{T}{T}=\frac{D}{T} \\R=\frac{D}{T}](https://tex.z-dn.net/?f=R%2AT%3DD%5C%5CR%2A%5Cfrac%7BT%7D%7BT%7D%3D%5Cfrac%7BD%7D%7BT%7D%20%5C%5CR%3D%5Cfrac%7BD%7D%7BT%7D)
Now, plug in the numbers and solve:
![R=\frac{D}{T}\\R=\frac{5}{2} \\R=2.5](https://tex.z-dn.net/?f=R%3D%5Cfrac%7BD%7D%7BT%7D%5C%5CR%3D%5Cfrac%7B5%7D%7B2%7D%20%5C%5CR%3D2.5)