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Nikolay [14]
3 years ago
12

Estimate the sum of 487 and 310

Mathematics
2 answers:
Anika [276]3 years ago
8 0
487 and 310 round to 800
Finger [1]3 years ago
7 0

Answer:487 is almost 500, so we will approximate 487 as 500. 310 is just over 300, so we will approximate 310 as 300

Step-by-step explanation:

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Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
pochemuha

!

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2        

    Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

     = 4 so the semicircle area is

    (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

   First of all, angle ACB is a right angle ( i.e. 90 degrees).

     * This is the Theorem of Thales from elementary Plane Geometry. *

  so by Pythagoras

    AC^2 + BC^2 = AB^2

 But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

 Substituting these in Pythagoras gives

    AC^2 + 4^2 = 8^2 or

    AC^2 = 8^2 - 4^2- = 64 - 16 = 48

    Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

   (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

8 0
3 years ago
Find the measurements of <CAH and <EAG what is the value of x ​
kirza4 [7]

Answer:

x = 14

Step-by-step explanation:

4x + x + 90 = 160

5x + 90 = 160

     - 90    -90

<u>5x</u> = <u>70</u>

5      5

x = 14

Hope this helps!

6 0
3 years ago
For f(x) = 4x +1 and g(x) = x2 - 5, find (f - g)(x)
9966 [12]

(f - g)(x) = 4x +1 - ( x^2 - 5)

(f - g)(x) = 4x + 1 - x^2 + 5

(f - g)(x) = -x^2 + 4x + 6

Answer is C.

-x^2 + 4x + 6

7 0
3 years ago
If f(x) = x4+ 5x-3,them land the value of (-1), f(1 by -2)<br>2x-1x2​
Bezzdna [24]

Answer:

-12

Step-by-step explanation:

-1 multiple by x and -1 multiple by 5 all together is -12

6 0
3 years ago
What is the solution to the system of equations.
Mashcka [7]

Answer:

x = -2 y = -1

Step-by-step explanation:

5 0
2 years ago
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