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lesya [120]
3 years ago
5

Find the slope of the tangent to y= -7Sin(x)+2cos(x) at x= 3π/4

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0
Y = -7sin(x) + 2cos(x)
y = -7sin(3π/4) + 2cos(3π/4)
y = -7sin(9.42/4) + 2cos(9.42/4)
y = -7sin(2.355) + 2cos(2.355)
y = -7(0.03698381721) + 2(0.9993158646)
y = -0.2588867205 + 1.998631729
y = 1.739745009
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Preeta’s book has 300 pages. Each day she reads 10 more pages than the day before. She finishes her book in 6 days. How many pag
Scilla [17]

Step-by-step explanation:

1. if the number of pages in the 1st day is 'x', then the 2d day - 'x+10', the 3d day - 'x+20', the 4th day - 'x+30', the 5th day - 'x+40' and the last day - 'x+50' pages;

2. if the sum of all the pages is 300, then it is possible to make up the equation:

x+x+10+x+20+x+30+x+40+x+50=300;

3. x=25, it means:

1st day - 25;

2d day - 35;

3d day - 45;

4th day - 55;

5th day - 65;

6th day - 75 pages.

3 0
2 years ago
The formula to convert Celsius to Fahrenheit is f=9/5c+32 convert 62F to Celsius round to the nearest degree.
larisa86 [58]

The Answer is B= 17c

62 = 9/5c + 32

62 - 32 = 30

30 / (9/5) = 17

C = 17

6 0
3 years ago
Read 2 more answers
Ron practiced piano 1 2/3 hours on monday and 5/6 hour on tuesday. how much did he practice in all those two days
insens350 [35]
2.5 hours i think but i might be wrong :)
4 0
3 years ago
ou live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discus
Alenkinab [10]

Answer:

1.3

Friend is wrong

Step-by-step explanation:

Given:

friend's claim: height of his building is more than 1.50 times the height of yours

line of sight to the top edge of the other building makes an angle of 21° above the horizontal

line of sight to the base of the other building makes an angle of 52° below the horizontal

Solution:

Let A be the height of your building is A

Let B+A his building is B higher than yours.

Let the distance between the buildings is x.  

then

tan 52 = A/x

tan 21 = B/x  

A/B = tan 52 / tan 21

      =  1.27994 / 0.38386

A/B = 3.33

(A + B) / A = 1.5 0

A/A + B/A = 1.50

1 + B/A = 1.50

B/A is basically (B/x) / (A/x)

So

1+ 3.33 / 3.33

= 4.33/3.33

= 1.3

Since 1.3 is not equal to 1.5

Hence the friend's claim is wrong.

5 0
3 years ago
The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?
dimaraw [331]
The area of a rectangle is length times width or base times height

so 5 times 2x-3

if you multiply them together 5(2x-3) you would get 10x-15

there is no value of x

so the area would be 10x-15ft^2
7 0
2 years ago
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