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MA_775_DIABLO [31]
3 years ago
6

What is the answer?? Please

Mathematics
1 answer:
Amanda [17]3 years ago
8 0
One must use the division property 
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Determine weather the statement is true or false. Justify your answer
topjm [15]
\begin{gathered} \cos (-\frac{7\pi}{2})=\cos (\pi+\frac{\pi}{2}) \\ \cos (-\frac{7\pi}{2})=\cos (\frac{3\pi}{2}) \end{gathered}

As we know:

\begin{gathered} \cos (x)=0 \\ for \\ x=\pi n-\frac{\pi}{2} \\ n\in Z \end{gathered}

For:

\begin{gathered} n=2 \\ x=2\pi-\frac{\pi}{2}=\frac{3\pi}{2} \\ for \\ n=-3 \\ x=-3\pi-\frac{\pi}{2}=-\frac{7\pi}{2} \end{gathered}

Therefore:

\begin{gathered} \cos (-\frac{7\pi}{2})=0 \\ and \\ \cos (\frac{3\pi}{2})=0 \\ so\colon \\ 0=0 \\ This_{\text{ }}is_{\text{ }}true \end{gathered}

Therefore, the statement is true

7 0
1 year ago
Teresa has $451 in a personal bank account,and then withdraws $10 per week.Andrew has $10 in a personal bank account,and then de
Wittaler [7]

Given:

Teresa has $451 in a personal bank account,and then withdraws $10 per week.

Andrew has $10 in a personal bank account,and then deposits $53 each week.

To find:

After how many weeks will they have the same amount of money in the bank.

Solution:

Let x be the number of weeks after which they have the same amount.

Teresa has $451 in a personal bank account,and then withdraws $10 per week. So, the amount in Teresa's account is:

\text{Teresa's account}=451-10x

Andrew has $10 in a personal bank account,and then deposits $53 each week. So, the amount in his account is:

\text{Andrew's account}=10+53x

They have equal amount after x weeks. So,

451-10x=10+53x

Isolate variable terms.

451-10=10x+53x

441=63x

Divide both sides by 63.

\dfrac{441}{63}=x

7=x

Therefore, they will have the same amount of money in the bank after 7 weeks.

5 0
3 years ago
40 POINTS AVAILABLE<br> real answers please
Aleks [24]

Answer:

ABD = 40, CD = 143, X = 43.5, AB = 140, BC = 126

Sorry I'm in a hurry right now so I can't give explanations but I hope this helps!

4 0
3 years ago
He formula d = rt gives the distance traveled in time t at rate r a
Flura [38]
(76 Miles)/(1.5 Hours) = 50.7 miles per hour.
8 0
3 years ago
Can someone help me solve this​
laila [671]

Answer: x=-30

Step-by-step explanation: -1/5x(-5)=6(-5) x=-30

3 0
3 years ago
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