Answer:
x = 15
Step-by-step explanation:
by solving;
- 4x + 8x +14 -14 = 180
- 12x = 180
- x = 180 / 12
- x = 15
<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em> </em><em>^</em><em>_</em><em>^</em>
We'll do it their way, but first let's find OC another way.
AB is the hypotenuse, so AB² = 5² + (5×2)² = 5²(1+2²) = 5³
AB = 5√5
OC is an altitude so the area of the triangle is
(1/2) OA OB = (1/2) OC AB
5(10) = OC (5√5)
OC = 10/√5 = 2√5
OK, we'll check that later.
a)
Equation of AB. Point point form for the join of (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
A(0,5), B(10,0)
(10 - 0)(y - 5) = (0 - 5)(x - 0)
10y - 50 = -5x
Answer: AB is x + 2y = 10
OC is perpendicular so we swap the coefficients on x and y, negating one. Through the origin means a zero constant.
Answer: OC is 2x - y = 0
b)
We find the meet, second equation times 2:
4x - 2y = 0
Add first equation,
5x = 10
x = 2
y = 2x = 4
Check 2(2) -4 = 0, good
Answer: C is (2,4)
distance d satisfies
d² = 2² + 4² = 4 + 16 = 20
d = 2√5
Answer: Distance 2√5
That's what we got at the outset. Math works!
Answer: 7.722 cm²
Step-by-step explanation:
Since the area of a square is equal to length × width, the area of the square would be 6 × 6. ( A square is a polygon with sides of equal lengths)
Area of square = 36 cm²
Then, we find the are of the circle.
Area of the circle: πr²
Since the circle's diameter is the same length as the square's length, 6 cm, the radius of the circle would be 3 cm.
Area of the circle: 3.142(3²)
simplify: 9(3.142) = 28.278 cm²
Because we are finding the area of the shaded region, we subtract the area of the circle from the area of the square.
36- 28.278 = 7.722 cm²
Refer to the attached image.
Let us plot the points (-7,7) , (-7,1) , (-4,7) , (-4,1) , (-7,4) and (-4,4) on the graph paper.
After plotting the points, lets us observe the shape.
Since, we observe that the lengths of opposite sides are equal. And each angle is a right angle.
Hence, the shape is a rectangle.
Answer:
3/16
Step-by-step explanation:
start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2
then set up your equation:
3/2 x 1/8
you do the resipricol of one of the numbers so instead of 8/1 we do 1/8
3 times 1= 3
2 times 8 is 16
3/16 does not simplify so thats your answer
