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dmitriy555 [2]
3 years ago
6

What are two angles within 0°-360° that has a cosine of negative root three over 2? Show work please

Mathematics
1 answer:
alekssr [168]3 years ago
6 0

Answer:

150° and 210°

Step-by-step explanation:

1) according to the condition the required cosine is <0, it means the required angles are in the II-d and III-d quaters (see the attached picture no. 1);

2) it is known, that arccos(√3/2)=30°- the angle is between 0° and 90°, - but the requred angles are between 90° and 270° (see the picture no. 2), then

3) (angle)₁=180°-arccos(√3/2) and (angle)₂=180°+arccos(√3/2), then finally

(angle)₁=180°-30°=150°; (angle)₂=180°+30°=210°.

PS. note, the suggested way is not the only one.

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The amount of interest accrued on<br> a $7,000 loan with 6% interest after t years.
Misha Larkins [42]

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

6 0
3 years ago
After reading the story “First Day of School,” pick up where the story left off and add a climax, falling action and resolution.
Anit [1.1K]

Although this question asks for original work, and therefore, only you can complete it, we can provide an example to help you guide your work:

<em>"My sister and I said goodbye to mom, and we were ready to finally approach the school and begin one of the most important days of our lives. We were nervous, and worried about whether this year was going to be a good one. I turned around to my sister and asked:</em>

<em>- Are you ready?</em>

<em>- I'm so not ready...</em>

<em>We approached the school, and as we pulled the door, the most delicious smell hit us. It smelled like sweetness, and like a day in the park. We walked in, and what we saw left us in awe.</em>

<em>The school had organized a festival! In order to make the first day of school easier, the morning classes had been cancelled, and we were instead allowed to run and play for a few hours, in order to get to know each other. I saw donuts, corndogs and ice cream. I also saw many kids running around. My sister could not believe her eyes.</em>

<em>- This is the best day ever! - she yelled, while she ran to grab a donut."</em>

In this addition, the conflict is an internal one, as the children feel worried about school. However, this is resolved by the festival that was organized. The climax occurs when the children notice the festival, while the falling action and resolution occur when the children are able to relax and their worries about school disappear.

8 0
3 years ago
Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°) and z2 = 6(cos 145° + i sin 145°).
Oduvanchick [21]
For two complex numbers z_1=re^{i\theta}=r(\cos\theta+i\sin\theta) and z_2=se^{i\varphi}=s(\cos\varphi+i\sin\varphi), the product is

z_1z_2=rse^{i(\theta+\varphi)}=rs(\cos(\theta+\varphi)+i\sin(\theta+\varphi))

That is, you multiply the moduli and add the arguments. You have z_1=7e^{i40^\circ} and z_2=6e^{i145^\circ}, so the product is

z_1z_2=7\times6(\cos(40^\circ+145^\circ)+i\sin(40^\circ+145^\circ)=42(\cos185^\circ+i\sin185^\circ)=42e^{i185^\circ}
3 0
3 years ago
Read 2 more answers
Quick Math, 75% of 180?
sdas [7]
75% = 3/4
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5 0
3 years ago
The Hu family goes out for lunch, and the price of the meal is $58. The sales tax on the meal is 7%, and the family also leaves
Alexxx [7]

58  plus tip of .20  

so

58 times 0.2 = 11.6 is the tip

now we add tax (Presuming we son't tax the tip)

58 times 0.07 = 4.06 the tax

so its

58 + 11.6  + 4.06  = $73.66 total cost


8 0
3 years ago
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