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sineoko [7]
3 years ago
13

the two perpendicular sides of a right angled triangle are in ratio 8:15 and its perimeter is 200. find the other side​

Mathematics
1 answer:
levacccp [35]3 years ago
8 0
The hypotenuse is 17
8+15+17=40
200/40=5
All sides of triangle
l\
75 l \85
| \
|__\
40
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What is the sum of the first 51 terms of the sequence?<br><br> −282,−266,−250,−234,...
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Answer:

The sum of the first 51 terms of the sequence is 6018

Step-by-step explanation:

AP: −282,−266,−250,−234,...

First term = a = -282

Common difference = d = a_2-a_1=a_3-a_2

Common difference = d = -266-(-282)=-250-(-266)=16

Formula of sum of first n terms =S_n=\frac{n}{2}(2a+(n-1)d)

Substitute n = 51

So,S_{51}=\frac{51}{2}(2(-282)+(51-1)(16))

S_{51}=6018

Hence the sum of the first 51 terms of the sequence is 6018

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3 years ago
A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a
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3 years ago
What is the range of the absolute value function shown in the graph?
Alex787 [66]

Answer:

Range : [-6, ∞)

Step-by-step explanation:

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Similarly, Range of  function is represented by the y-values or output values of the function on a graph.

Therefore, domain of the given absolute function will be (-∞, ∞) Or set of all real numbers.

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3 years ago
What is NOT a characteristic of a polyhedron?<br> A. faces<br> B. vertices<br> C. edges<br> D. lines
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4 0
2 years ago
The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular
victus00 [196]

<u>Answer:</u>

29 years

<u>Step-by-step explanation:</u>

  • Given the function f(x)= 200(0.5)^{\frac{x}{50} }, where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
  • Another way of doing this is to change the function to f(x)=200(0.5^{\frac{1}{50} })^{x} which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
  • I'll use the 1st function because the question doesn't ask for the rate

f(x)= 200(0.5)^\frac{140}{50}}

From here I'll just use a calculator & get 28.7, or 29 years.

4 0
2 years ago
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