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2 years ago

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm.

Mathematics

1 answer:

Zarrin [17]2 years ago

6 0

Answer:

11.6cm

Step-by-step explanation:

a^2+b^2=c^2

11^2+b^2=16^2

121+b^2=256

b^2=135

b=11.6

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40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

2 years ago

Help please <br>I DONT understand <br>

RideAnS [48]

Answer:

it is B i thinkif im wrong im sorry

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

If 23 people shake each others hands once how many hands are shook in all

AURORKA [14]

This is the number of combinations of 2 from 23
23C2 = 23! / 2! 21!

A quick way to do this is 23*22 / 2 = 253

7 0

2 years ago

PLEASE HELP I REALLY NEED HELP ON THIS

jeka94

Answer:

One piece of fabric: 10 x 6, or 60.

If one triangle is 15, she can cut 4 triangles from each piece of fabric.

If she has 24 pieces of fabric, she can cut 4 x 24, or 96 triangle patches.

Let me know if this helps!

4 0

2 years ago

Combine like terms : 2x+5x+10x

8090 [49]

Answer: =17x

Step-by-step explanation: hope this help, hope you understand it too.

Let's simplify step-by-step.

2x+5x+10x

Combine Like Terms:

=2x+5x+10x

=(2x+5x+10x)

=17x

7 0

2 years ago