Answer:
5.65685424 (not rounded)
Step-by-step explanation:
(
1
,
3
)
, (
5
,
7
)
Use the distance formula to determine the distance between the two points.
Distance
= (
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substitute the actual values of the points into the distance formula.
(
5
−
1
)
2
+
(
7
−
3
)
2
Simplify.
4
√
2
The result can be shown in multiple forms.
Exact Form:
4
√
2
Decimal Form:
5.65685424
Answer:
28
Step-by-step explanation:
Neat Question.
Thanks for posting.
The straign line (horizontal) makes an isosceles triangle inside the circle. So the bottom angle of the triangle is also 59 degrees. The central angle of the interior triangle is
180 - 59 - 59 = 62.
x and the 62 degree angle are complementary -- both are in the 90 degree angle triangle made by the tangent. x + 62 = 90
x = 90 - 62 = 28
Answer:
Step-by-step explanation:
whole number No
integer No
rational
: No, because pi is irrational.
irrational: YES. π/2 is the ratio of pi to 2, BUT pi is irrational.
Answer:
Allie got $120, Barbara got $240 and Carson got $80.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
Allie got x.
Barbara got y.
Carson got z.
Divide $440 among themselves
This means that ![x + y + z = 440](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%3D%20440)
Barbara gets 2 times as much as allie.
This means that ![y = 2x](https://tex.z-dn.net/?f=y%20%3D%202x)
Carson gets 1/3 as much as barbara.
This means that ![z = \frac{y}{3} = \frac{2x}{3}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7By%7D%7B3%7D%20%3D%20%5Cfrac%7B2x%7D%7B3%7D)
Finding x:
Replacing in the first equation.
![x + y + z = 440](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%3D%20440)
![x + 2x + \frac{2x}{3} = 440](https://tex.z-dn.net/?f=x%20%2B%202x%20%2B%20%5Cfrac%7B2x%7D%7B3%7D%20%3D%20440)
Multiplying everything by 3
![3x + 6x + 2x = 1320](https://tex.z-dn.net/?f=3x%20%2B%206x%20%2B%202x%20%3D%201320)
![11x = 1320](https://tex.z-dn.net/?f=11x%20%3D%201320)
![x = \frac{1320}{11}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1320%7D%7B11%7D)
![x = 120](https://tex.z-dn.net/?f=x%20%3D%20120)
Finding y and z:
![y = 2x = 2(120) = 240](https://tex.z-dn.net/?f=y%20%3D%202x%20%3D%202%28120%29%20%3D%20240)
![z = \frac{y}{3} = \frac{240}{3} = 80](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7By%7D%7B3%7D%20%3D%20%5Cfrac%7B240%7D%7B3%7D%20%3D%2080)
Allie got $120, Barbara got $240 and Carson got $80.
2(x-3)5x = 5(2x6)
2(x-3)5x = 60
2x -6 x 5x = 60
2x -30x = 60
-28x = 60
28x = -60
x = -15/7
Not sure if I'm correct, but hope it helped