Given points (-5,-1) and (5,9):
Let (x1,y1) = (-5,-1)
(x2,y2) = (5,9)
Use the following distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(5 — (-5))^2 + (9 — (-1))^2]
d = √[(5 + 5)^2 + (9 + 1)^2]
d = √[(10)^2 + (10)^2]
Add similar elements:
d = √[(10)^2 • 2]
The squared root of 10^2 is 10, so it goes outside the square root:
d = 10 √2
Therefore, the correct answer is Option 3:
d = 10 √2
Hope this helps :)
Finishing the angles of the smaller triangle if E is 90 and F is 30 then G needs to be 180-90-30 = 60 degrees.
Angles G and C are supplementary angles which need to equal 180 degrees
Angle c = 180-g = 180-60 = 120
Angle c = 120 degrees.
Answer:
Miriam walks for 1.8 miles and jogs for 0.9 miles.
Step-by-step explanation:
The path for jogging is 2.7 miles.
One lap of the path, that is 2.7 miles, is completed by Miriam by jogging part and walking part.
Let the jogging part be x miles.
It is given she jogs half the distance she walks , therefore we can say that she walks for 2x miles.
So we can say that 2x + x = 2.7 miles ⇒ 3x = 2.7 miles
⇒ x = 0.9 miles.
Therefore Miriam walks for 1.8 miles and jogs for 0.9 miles.
Answer:
3.5 in²
Step-by-step explanation:
Given:
Radius (r) = 1.5 in.
Formula for area of half circle = (πr²)/2
Required:
Area of the half circle
Solution:
Plug in the values into the formula for area of half circle.
Thus:
Area = (π × 1.5²)2
= 7.06858347/2
Area = 3.5 in² (nearest tenth)
Answer:
2 tickets
Step-by-step explanation:
because if a no member ticket is 6 dollars than than two 3 dollar tickets will equal 6 dollars
