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statuscvo [17]
3 years ago
10

If you know that two legs of a right triangle are 7 and 16 units long, what is the triangle's area? If necessary, round your ans

wer to two decimal places.
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0
The answer is always A
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Sam needs a web designer. Designer A is offering her services for an initial $550 in addition to $105 per hour. Designer B is of
Wewaii [24]
After two hours the prices will meet a 760

$550+105=655 |655+105= 760

660+50= 710 |710+50= 760

They meet in the second hour so in the second hour they will charge the same.
5 0
3 years ago
Can somebody prove this mathmatical induction?
Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

\sum \limits_{j=1}^k2^j=2(2^k-1)

3 step:

Check for n=k+1 whether the statement

\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)

is true.

Start with the left side:

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)

According to the 2nd step,

\sum \limits_{j=1}^k2^j=2(2^k-1)

Substitute it into the \ast

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)

So, you have proved the initial statement

4 0
3 years ago
I don’t understand this. The number line question the first one.
Mama L [17]

Answer:

-2 + 5 = 3

Step-by-step explanation:

The arrow represents an addition, you start with -2 and add 5, so you end up at +3.

8 0
3 years ago
Danny poured 78 liters of water into containers x, y, and z. The ratio of the volume of water in container x to the volume of wa
STatiana [176]
A) -
b) 1.82 times more. (5/2)(8/11)
3 0
3 years ago
Please help....What is a problem that makes sense for this question? ASAP!!
ddd [48]

Explanation:

250 can be used as a total, with 10 being how much something subtracted multiple times takes away, and 20 being the end result. So, we could make the problem about a lot of things, but I'll go ahead and write the first one that comes to mind.

Answer:

Arata has $250 in his bank account, and plans on buying several CDs. Each one costs $10, and by the end of the trip, there is only $20 left in his account. How many CDs did Arata buy, assuming there was no tax or other additional charges?

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3 years ago
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