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vampirchik [111]
3 years ago
10

Diagonals of an isosceles trapezoid are perpendicular to each other and the sum of the lengths of its bases is 2a. What is its

area?
PLEASE HELP!!!!!
Mathematics
2 answers:
sergey [27]3 years ago
7 0
Area= a*height
the formula for an isosceles trapezoid is 1/2(base1+base2)*height. 1/2 base 2 and 2a will simplify to a  base length of a. a times height or a*height
ira [324]3 years ago
5 0
It's a^2 

the altitude is a 
so....

(b1+b2)/2*h=
(2a)/2*a
a*a=a^2
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Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $186 in tips for a total
Iteru [2.4K]

291-186=105 (total earned through wages)

105/5=21

Therefore she worked 21 hours

6 0
3 years ago
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Find the range from 54 to (-13)
Korolek [52]
If you were at 54 on the number line you would have to cross zero and go an extra 13 steps to get to -13.
So we want the difference between 54 and -13   or 54- -13 which becomes 54+13 which is 67 - that is the range
5 0
3 years ago
What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
Help me please thank you
barxatty [35]

Answer:

99 feet

Step-by-step explanation:

55 plus 44 ur welcome pus sy

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Find the value of (343)^(-1/3)​
mojhsa [17]

Step-by-step explanation:

(343)^(-1/3)

>(7)³×-⅓

>(7)-¹

>1/7 .

>hope this helps you & thank you.

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