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3 years ago

Help!!!! Rational or Irrational 1. 61π 2. 42 3. 75.641523 4. 101 5. 6/5

Mathematics

2 answers:

MissTica3 years ago

5 0

Answer:

just getting the poinst

sciense its oladStep-by-step explanation:

Musya8 [376]3 years ago

3 0

#1 is irrational.
The other four are all rational.

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What is the additive inverse of -2 + 8i?

tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

An example:

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

To solve

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i) With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i) → and it does equal 0

ANSWER: 2 - 8i

Hope you understand and that this helps with your question! :)

8 0

2 years ago

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

4 0

2 years ago

Triangle X Y Z is shown. Line Z X is extended through point W to form exterior angle W X Y.

Y_Kistochka [10]

Answer:

C: m∠WXY + m∠YXZ = 180°

Step-by-step explanation:

edu is annoying to do, i got you :)

4 0

3 years ago

A submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters. A

balu736 [363]

-340 + 60 = -280 meters

3 0

2 years ago

Find the 61st term of -12, -28, -44,

Citrus2011 [14]

Answer:

$a_{61}=-972$

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$

Where

an = nth term

a1 = first term

r = common difference

n = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

$a_{61}=-12+(61-1)(-16)$

$a_{61}=-12-60*16=-12-960$

$\mathbf{a_{61}=-972}$

6 0

2 years ago