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2 years ago

PLS HELP!! NO LINKS!! WILL MARK YOU BRAINLIEST!!

Mathematics

1 answer:

finlep [7]2 years ago

5 0

Answer:

(d) -11

Step-by-step explanation:

The sum of the acute angles of a right triangle is 90°. (That makes the sum of all angles be 180°, as it is for any triangle.)

65° +(36 +x)° = 90°

x = 90 -101 . . . . . . . . divide by °, subtract 101

x = -11

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3/2 x 4/3 x 5/4… x 2006/2005

Lady_Fox [76]

Answer:

1003

Step-by-step explanation:

The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.

The simplest form of a telescoping product $a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}$ , in which the products of <em>n</em> terms is

$a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.$ .

In this particular case, $t_{1} \ = \ 2$ , $t_{2} \ = \ 3$ , $t_{3} \ = \ 4$ , ..... , in which each term follows a recursive formula of $t_{n+1} \ = \ t_{n} \ + \ 1$ . Therefore,

$\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003$

6 0

3 years ago

What do you call a frog with a cast on each of its back legs

CaHeK987 [17]

I call it the frog position

7 0

4 years ago

Here are the first 4 terms in the sequences

balu736 [363]

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. Given that each term has a common difference, this is an arithmetic sequence.

In this instance, the result is obtained by adding 6 6 to the prior term in the sequence.

What is the arithmetic progression formula?

a {n}=a {1}+(n-1) The nth term in the series is d a n.

The first term in the sequence is a 1.

d is the common distinction between the terms.

To learn more about Arithmetic progression refer to:

brainly.com/question/24191546

#SPJ13

6 0

1 year ago

Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the

Archy [21]

You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.

7 0

3 years ago

Read 2 more answers

An angle measures 96 degrees less than the measure of its complementary angle.What is the measure of each angle?

Semmy [17]

Answer:

42 degrees

Step-by-step explanation:

angle is x

supplement is 180-x

x+96=180-x, since it is 96 less than its supplement

2x=84

x=42

180-x=138

The angle is 42 degrees.

3 0

3 years ago