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3 years ago

Simplify radical 12 please

Mathematics

2 answers:

Butoxors [25]3 years ago

4 0

About 3.

hope this helped! :)

Law Incorporation [45]3 years ago

4 0

2 radical 3. My teacher taught me to make a factoring tree
12
/ \
3 4
/ \
2 2
The twos make a pair so they're on the outside and the three is alone so its on the outside

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Find sin(a+b) if tan(a)=7/24 where a is in the third quadrant

ludmilkaskok [199]

The complete question in the attached figure

we have that
tan a=7/24 a----> III quadrant
cos b=-12/13 b----> II quadrant
sin (a+b)=?

we know that
sin(a + b) = sin(a)cos(b) + cos(a)sin(b<span>)
</span>
step 1
find sin b
sin²b+cos²b=1------> sin²b=1-cos²b----> 1-(144/169)---> 25/169
sin b=5/13------> is positive because b belong to the II quadrant

step 2
Find sin a and cos a
tan a=7/24
tan a=sin a /cos a-------> sin a=tan a*cos a-----> sin a=(7/24)*cos a
sin a=(7/24)*cos a------> sin²a=(49/576)*cos²a-----> equation 1
sin²a=1-cos²a------> equation 2
equals 1 and 2
(49/576)*cos²a=1-cos²a---> cos²a*[1+(49/576)]=1----> cos²a*[625/576]=1
cos²a=576/625------> cos a=-24/25----> is negative because a belong to III quadrant
cos a=-24/25
sin²a=1-cos²a-----> 1-(576/625)----> sin²a=49/625
sin a=-7/25-----> is negative because a belong to III quadrant

step 3
find sin (a+b)
sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
sin a=-7/25
cos a=-24/25
sin b=5/13
cos b=-12/13
so
sin (a+b)=[-7/25]*[-12/13]+[-24/25]*[5/13]----> [84/325]+[-120/325]
sin (a+b)=-36/325

the answer is
sin (a+b)=-36/325

8 0

3 years ago

Factor and Solve. Show work.

Naddik [55]

Step-by-step explanation:

1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.

2. We will use the same process.

6x² + 14x - 3x - 7 = 0

2x (3x+7) - 1 (3x+7) = 0

(3x + 7)(2x - 1) = 0

3x + 7 = 0, 2x - 1 = 0

x = -7/3, x=1/2

Hope this helps!

4 0

3 years ago

Factor 20a + 45.............................................

Delvig [45]

Answer:5(4a+9)

Step-by-step explanation:

3 0

2 years ago

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Your firm has a new strategy that will make its established product obsolete. However, it will take a year before you are ready

pogonyaev

Answer:

The transition between launching a new product or strategy and discontinuing the current product is a crucial business decision because it involves financial risk, customer relation and overall brand of the organization.

Step-by-step explanation:

I would choose to announce the new business strategy with a risk of short-term financial loss because of the following reasons:-

Competitive Business Environment:- In a competitive world, an organization must update the current line of products or introduce a new one to meet the growing demand and expectations of its customers. Even though a new strategy or product may incur additional cost or a loss, product development is key to having an edge over its competitors.

Long-Term Goal:- Organizations that develop strategies keeping the long-term vision of the company in mind tend to survive and sustain profits in the long run. Business is an on-going process so it’s important to stay relevant to customer demands in the future as well. Loyal customers always expect the company to deliver new products and services which can outperform the existing products and creates brand loyalty.

Business Integrity:- An organization must exercise effective stakeholder’s relationship management not just with customers but with other stakeholders like suppliers and shareholders. Announcing a new business strategy in advance built trusts and opportunities for your stakeholders to engage with you in a B2B partnership in future. This strengthens the existing partnerships and relations, where others would want to continue doing business with you in future and beyond.

6 0

3 years ago

456 divided by n=4.56

Arlecino [84]

To find this out, just divide 456, by the answer of 4.56
So once you divide that, you get 100.
So, n=100
CHECK:
456 divided by 100=4.56
~~~~~~~~~~~~~~~~~~~
Hope this helped :)

8 0

3 years ago

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