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aleksley [76]
2 years ago
10

HElP mE wItH tHiS pLeAsE

Mathematics
1 answer:
kvv77 [185]2 years ago
3 0

Answer:

1. n = -3.2

2. n = - 5

3. n = -0.2

4. n = - 32

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The sides of a triangle are (x+5), and (x+8) units. Find the value of x if the perimeter of the triangle is 106 units.
lutik1710 [3]
106=x+x+5+x+8

106=3x+13

3x=93

x=31

(the sides are 31, 36, 39 respectively)
5 0
2 years ago
The observation deck is about 20 m above sea level. From the observation deck, the angle of depression of the boat is 6 degrees.
Leno4ka [110]
 θ\ 6 degrees
     \
       \     so the θ= 180-90-6 =84 degrees so we need to find x  
20m   \      tan (84)=x/20 
  ____  \      x=20 tan(84) 
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7 0
3 years ago
Evaluating integral by net area
N76 [4]

The graph of f(x)=2 is a horizontal line. So the area under f(x) on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of g(x)=\sqrt{64-x^2} is the upper half of a circle with radius \sqrt{64}=8. It's symmetric about x=0, so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is \frac{\pi 8^2}4=16\pi.

Then use the fact that the definite integral is distributive over sums, meaning

\displaystyle\int_0^8f(x)+g(x)\,\mathrm dx=\int_0^8f(x)\,\mathrm dx+\int_0^8g(x)\,\mathrm dx=16+16\pi

8 0
3 years ago
Simplify: (7x^2 − 8x − 4) + (−2x^2 + 3x + 5) + (5x^2 − 10x − 8)
kramer
Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify 

10x^2 - 15x - 7
5 0
3 years ago
Please help!!!!!!!!!!
steposvetlana [31]

9514 1404 393

Answer:

  -203.1875

Step-by-step explanation:

The ends of the interval are ...

  (-4, g(-4)) = (-4, 1023 15/16)

  (1, g(1)) = (1, 8)

The average rate of change is the slope of the line between these two points:

  m = (y2 -y1)/(x2 -x1)

  m = (8 -(1023 15/16))/(1 -(-4)) = (-1015 15/16)/5 = -203 3/16

The average rate of change on the interval is -203 3/16.

5 0
2 years ago
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