Answer:
The length of side AC is 5 units.
The areas of triangle ABC is 10 square units.
Step-by-step explanation:
From point A (1,3) to point C (1,-2) is 5 units
To check this:
3 - (-2) = 3 + 2 =5
We're subtracting since the point went down (from positive 3 to negative 2)
Now for the area:
Area formula for a triangle: 
bh = ⋅b⋅h
We already found the height (length) : 5
The base is from point C (1,-2) to point B (5,-2), which is 4 units
To check this:
5 - 1 = 4
Now that we have found the base and height, Let's solve:
⋅4⋅5 = ⋅20 = 10
Our area is 10 square units.
Hope that helps :)
Answer:
the answer is -32t + 67
Step-by-step explanation:
-16t2 +64 + 3
= -16t x 2 +64 +3
= -32t +67
Answer:
54
Step-by-step explanation:
Diagonals are perpendicular so
2x+ 90 + 3x = 180 since this forms a triangle
Combine like terms
5x+ 90 = 180
Subtract 90 from each side
5x +90-90 =180-90
5x = 90
Divide each side by 5
5x/5 = 90/5
x =18
We want to find Angle ABD
ABD = 3x = 3*18 = 54
Answer:
7.28 m
Explanation:
Use the Pythagorean Theorem. The length of the ladder is the hypotenuse.
a^2 + b^2 = c^2
a = 2, b = 7, c = ?
Plug in the values into the equation.
2^2 + 7^2 = c^2
4 + 49 = c^2
Square root both sides to get c = 7.28
√3(√6)
= √3(6)
=√3(3·2)
=3√2
B. No the product will not be rational as 3√2 cannot be expressed as a simple fraction
