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lina2011 [118]
3 years ago
13

PLEASE HELP ASAP!!

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Step-by-step explanation:

e = 20sin(πt/4 - π/2)

= 20[(sinπt/4)(cosπ/2) - (cosπt/4)(sinπ/2)]

Used sin(x - y) = sinxcosy - cosxsiny.

= 20[0 - cosπt/4]

Since cosπ/2 = 0 and sinπ/2 = 1.

= -20cosπt/4.

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Write an equation for the line in the given form.
nexus9112 [7]

Answer:

  5x +y = 34

Step-by-step explanation:

Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.

For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...

  y -k = m(x -h)

For m=-5 and (h, k) = (6, 4), the equation is ...

  y -4 = -5(x -6)

  y -4 = -5x +30 . . . . . eliminate parentheses

__

Standard form looks like ...

  ax + by = c

where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.

  5x +y -4 = 30 . . . . . . add 5x

  5x +y = 34 . . . . . . . . . add 4 to get standard form.

3 0
3 years ago
Steven converted $1,000 to ×105,000 for a trip to Japan. However, he spent only ×50,000. During this period, the value of the do
Mariulka [41]

Answer:

E

Step-by-step explanation:

We were told Steven spent an amount of 50,000. Although the value of the dollar against the yen has changed. So therefore, to calculate the amount of money he spent, we would be needing to divide the amount he spent over the present exchange rate of the dollars to yen.

We then divide the 50,000 by 100 and that equals $500.

Hence, the amount of money spent by Steven is simply $500

5 0
3 years ago
A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average sp
Tju [1.3M]

Answer:

<h2>Average speed is 15km/h</h2>

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

3 0
3 years ago
The same price of an item is $48 after a 40% discount what was the original price
Sonja [21]
Let, the original price = x
It would be: x*60% = 48
x = 48 / 0.60
x = 80

In short, Your Answer would be $80

Hope this helps!
8 0
3 years ago
Triangle FGH with vertices F(1,8), G(5,7), and H(2,3) in the line y=x.
sergiy2304 [10]
Check Hathaway they will
4 0
3 years ago
Read 2 more answers
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