Can someone please show and explain how you got the answer for these please

andreev551 [17]

Answer:

$-10+i\sqrt{2}$

Step-by-step explanation:

One is given the following expression:

$\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}$

In order to simplify and solve this problem, one must keep the following points in mind: the square root function ( $\sqrt{}$ ) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ( $\sqrt{-1}=i$ ). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

$\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}$

$\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}$

Take factors from out of under the radical:

$\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}$

$2-7i\sqrt{2}-12+8i\sqrt{2}$

Simplify,

$-10+i\sqrt{2}$

8 0

3 years ago

Sin2alpha+cos2alpha-cos6alpha/sin4alpha+2sin²alpha-1<br><br> if alpha is -135°

balandron [24]

Answer:

$= \frac{\sin(2 \alpha ) + \cos(2 \alpha ) - \cos(6 \alpha ) }{ \sin(4 \alpha ) + 2 { \sin }^{2} \alpha - 1} \\ = \frac{ \sin( - 270) + \cos( - 270) - \cos( - 810) }{ \sin( - 540) + 2 { \sin }^{2}( - 135) - 1 } \\ = \frac{1}{ - 2} \\ = - 0.5$

5 0

2 years ago

Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to t

PolarNik [594]

Answer:

it would be like 90 feet

Step-by-step explanation:

hope this helps give me brainiest please

8 0

3 years ago

The one selected is wrong please help meee!

GREYUIT [131]

Answer:

(a) ΔARS ≅ ΔAQT

Step-by-step explanation:

The theorem being used to show congruence is ASA. In one of the triangles, the angles are 1 and R, and the side between them is AR. The triangle containing those angles and that side is ΔARS.

In the other triangle, the angles are 3 and Q, and the side between them is AQ. The triangles containing those angles and that side is ΔAQT.

The desired congruence statement in Step 3 is ...

ΔARS ≅ ΔAQT

5 0

2 years ago

For every 6,000 batches of 100 cards that are printed, she examines every 100th batch to make sure the logo is aligned and the m

Gennadij [26K]

Using sampling concepts, the population and the sample are given as follows:

d. population: 6,000 batches of 100 cards sample: every 100th batch.

<h3>What is sampling?</h3>

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a <u>group containing elements of a population</u>. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:

The population is: All New York State residents.

The sample is the 1000 randomly selected New York state residents.

Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.

More can be learned about sampling concepts at brainly.com/question/25122507

#SPJ1

3 0

2 years ago

Can someone please show and explain how you got the answer for these please ​

Can someone please show and explain how you got the answer for these please