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valkas [14]
3 years ago
7

Tell whether the sequence is arithmetic if it is identify the common difference -7,-3,1,5

Mathematics
1 answer:
seraphim [82]3 years ago
7 0
Yes it is an arithmetic sequence because a specific number is being added to each previous number. So starting from -7, if you add 4 you get -3, add 4 again to get 1, add 4 one last time to get 5

So, yes the sequence is arithmetic and the common difference is +4
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Find the measure of the arc or angle indicated.
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The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
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Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
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Area=√85*[85-250/3]*[85-140/3]*[85-40]
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the answer is
26558.21 ft²
6 0
3 years ago
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