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Ad libitum [116K]
3 years ago
5

See below to answer this question

Mathematics
2 answers:
Zinaida [17]3 years ago
6 0

Answer: OPTION A.

Step-by-step explanation:

Observe the figure attached.

The first step is the find "a". In order to find this side, we need to use this Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case:

\alpha=45\°\\\\opposite=12\\\\hypotenuse=a

Then, substituting values and solving for "a", we get:

sin(45 \°)=\frac{12}{a}\\\\a=\frac{12}{sin(45 \°)}\\\\a=12\sqrt{2}

Now we must apply this Trigonometric Identity:

tan\theta=\frac{opposite}{adjacent}

In this case:

\theta=60\°\\\\opposite=12\sqrt{2}\\\\adjacent=x

Then, substituting values and solving for "x", we get:

tan(60\°)=\frac{12\sqrt{2}}{x}\\\\x=\frac{12\sqrt{2}}{tan(60 \°)}\\\\x=4\sqrt{6}

ipn [44]3 years ago
5 0

Answer:

c. 6√2

Step-by-step explanation:

The step by step explanation is shown in the picture above

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The angle of rotation of triangle ABC to A'B'C is 105°

<h3>How to illustrate the information?</h3>

It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.

Point B is also on the x axis and point B' is in the second quadrant.

In this case, the angle that depicts the second quadrant is 105°.

In conclusion, the correct option is D.

The complete question is:

Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)

Determine the angle of rotation

A. -105 degrees

B. -75 degrees

C. 75 degrees

D. 105 degrees

Learn more about triangles on:

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8 0
2 years ago
In a grade seven class, 18 students have pets, and 12 do not. What percent of the class has a pet?
Svetradugi [14.3K]
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If 18+12 is 30 and only 18 of them has pets then 70 percent have pets
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4 years ago
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Pani-rosa [81]
20000*0.45 = 9000 in the bond
20000*0.15 = 3000 in the CD
20000*0.20 = 4000 in stocks
20000*0.029 = 580 in savings

A=9000(1 + 4.35%)^3 = 10,226.33
A=3000(1 + 2.90%)^3 = 3,268.64
A=4000 (1 + 8%) x (1 - 4%) x (1 + 6%) = 4,396.03
A=580(1 + 4.35%)^3 = 4,545.04
Total value = 22,436.04
Gain = 22,436.04 - 20,000 = 2,436.04
6 0
3 years ago
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Does anyone understand this if so can someone tell me how I do this and explain how to do it thank you!
dexar [7]

The ending balance for January 2018 was $1056.37

Step-by-step explanation:

Step 1; Whenever you make a payment, make a cash withdrawal, a payment through debit card or an automatic payment the money in your account decreases as you're giving your money to someone else. So the amount of money spent or taken is reduced from the balance in your account.

Whenever you get your paycheck or make a deposit the money you have in your account increases. So the amount of money put in or the money you are paid is added with the balance you have in your account.

Step 2; Total deposits mean all the money that was added into your account. In this month's summary, the individual didn't deposit any money into their account but did get paid twice. They got paid their paycheck twice. The amount paid was $645.30. So total amount deposited was 2 * $645.30= $1290.60.

Step 3; Total withdrawals were all the payments you made to someone else. In the month of January payments were; $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill and $148.46 for the phone bill. All these amounts were deducted from the account balance.

Step 4; So this is how to calculate the final balance.

$398.26 was the initial balance, $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill, $645.30 was paid through a paycheck, $148.46 for the phone bill and another $645.30 was another paycheck.

So the balance was = $398.26 - $158.25 - $168.36 - $157.42 + $645.30 - $148.46 + $645.30 = $1,056.37

6 0
3 years ago
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