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vlabodo [156]
2 years ago
13

Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant s

peed
Mathematics
1 answer:
Nikolay [14]2 years ago
5 0

Answer:

Step-by-step explanation: This is the answer

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Can you please answer this question
tamaranim1 [39]
3tan^{2} \theta +7sec\theta=3
First I converted the equation terms into sine and cosine.
tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta} and sec\theta= \frac{1}{cos\theta}
Substitution:
\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3
Common Denominator Created:
\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3
Multiply each term by the LCD:
3sin^2\theta+7cos\theta=3cos^2\theta
Substitution: Recall ⇒sin^2\theta =1-cos^2\theta 
3(1-cos^2\theta)+7cos\theta=3cos^2\theta
Distribute and collect all terms on one side:
6cos^2\theta-7cos\theta-3=0
Factor and set each factor equal to 0:
(2cos\theta-3)(3cos\theta+1)=0
2cos\theta-3=0⇒theta=cos^{-1} \frac{3}{2}
3cos\theta+1=0⇒theta=cos^{-1} \frac{-1}{3}
The 2nd factor provides only possible answer 109.5 degrees

4 0
3 years ago
What are the following numbers writen as powers? 243
puteri [66]

Answer:

243=3^5

Step-by-step explanation:

We have to write 243 as a power of some number.

So, if we factorize 243 we get,

243 = 3 × 3 × 3 × 3 × 3

Therefore, we can write 243 as a power of 3.

No other number can be written in powers of 243 because it do not contain any other factor than 3.

Hence, 243 can be written as :

243=3^5

6 0
3 years ago
A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band m
kodGreya [7K]

Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

<u>First, we determine the systems of equations:</u>

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

<u>Now, we isolate x in one equation, and substitute it in the other one:</u>

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

<u>Prove: </u>

15*100 + 10*50= 2,000

100 + 50 = 150

3 0
3 years ago
Read 2 more answers
SHOW WORK PLEASEEE 18 POINTS
Agata [3.3K]

Answer:1,587,301.587 final

48,941 per month

4 0
3 years ago
Read 2 more answers
If A = (0,2,3,4,9,11), B = {2,3,6,8,9,10) and C= {0,2,3,9), then (A-B) n(A-C) is​
timofeeve [1]

Answer:

(A-B)n(A-C) ={ }

<h3><em>hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em>.</em></h3>

<em>Wishing</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>.</em>

8 0
2 years ago
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