Answer:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:
Let's plug in what we know.
Evaluate the parentheses.
Evaluate the exponents.
Add.
Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!
Answer:
the subtraction
Step-by-step explanation:
Answer :
<u>A the triangle is not a right </u><u>triangle</u>
<u>D </u><u>costheta</u><u> </u><u><0</u>
The law of cosines says:
a²=b²+c²−2bccos(θ)
Rewriting:
2bccos(θ)=b²+c²−a²<0
So cos(θ)<0cos(θ)<0 since 2bc>02bc>0. Since 0<θ<π0<θ<π in any triangle,
π/2<θ<π
So:
1. θ is not an acute angle.
2 The triangle is not a right triangle. In a right triangle, one of the angles is 90 degrees and the other two are then less than 90 degrees. This triangle has an angle greater than 90 degrees.
3. cos(θ)<0 is true.
4. cos(θ)>0 is false -3 says cos(θ) is negative; a number can't be both positive and negative.
Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
