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alukav5142 [94]
3 years ago
12

Vertical/supplementary/Complementary Angles (Algebraic)​

Mathematics
1 answer:
Serga [27]3 years ago
3 0
These are vertical angles, and t=12.
the angle measurements are 97°, 97°, 83°, 83°. is this what you were looking for? here’s the work on how i got this:

97= 8t+1
subtract 1 from both sides
96=8t
divide both sides by 8
12=t


because 97 and 8t+1 are vertical angles, they are automatically equivalent.

to find the other angles, you would do

180-97=83

the last angle is 83° because it is a vertical angle to the other 83° angle.

if this helped please mark brainliest and if you need more to this answer or more of an explanation lmk
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Write a real world problem for: 80-3x=53
Oxana [17]

Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

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3 years ago
A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
. 25% of 900 = 225, 25% is called____ *
posledela

Answer:

25% is called a quarter of 900

Step-by-step explanation:

{ \tt{25\% =  \frac{25}{100}  =  \frac{1}{4} }} \\

4 0
3 years ago
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I need help with this question
malfutka [58]

Answer:


Step-by-step explanation:


7 0
3 years ago
A gardener wishes to plant plants in such a way that each row contains as many plants as the number of rows. He has 2624 plants.
vagabundo [1.1K]

Answer:

80

Step-by-step explanation:

we search for a square number so that rows*plantsInARow gives us the number

The number should be around 50², guessed

50² = 2500 (to low)

51² = 2601 (still to low)

52² = 2704 (bingo)

now to get from 2624 to 2704 plants he needs 80 more. That is the least number.

He could also go to plant 60² plants an than need slot more.

(would really appreciate the brainliest)

8 0
3 years ago
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