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____ [38]
2 years ago
8

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Mathematics
1 answer:
algol132 years ago
3 0
Cut the square in half and use pythagorean thereom to solve for the long side of the triangle or it’s diameter.
a^2 + b^2 = c^2

8^2 + 8^2 = c^2
64 + 64 = c^2
128 = c^2 …square root both sides
c = 11.3137 (diameter)

radius is half diameter

r = 5.6569

Then you can subtract the area of a square a=bh from the area of the circle a = pi(r)^2.

a = (8)(8) the square’s area is 64.

a = pi (5.6569)^2
a = pi (32) the circle’s area is 32pi

so subtracting the area of the square from the circle is 32pi - 64.

Therefore it is the last selection 32pi - 64.




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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
The table lists several points that form a line on a coordinate plane.
omeli [17]

Answer:

Slope is 1/4 (0.25) while y-intercept is 5

Step-by-step explanation:

Here, we are interested in getting the y intercept and slope of the line joining the given points.

We can get the slope by using any two points

Let’s say (4,6) and (12,8)

Mathematically; slope

= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25

To get the y-intercept, we proceed

kindly recall that the equation of a straight line is;

y = mx + c

where m is the slope and c is the y-intercept

Let’s take any of the points (28,12)

Thus:

12 = 0.25(28) + c

12 = 7 + c

c = 12-7

c = 5

6 0
3 years ago
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