2r-20 is the answer combining the like terms and solving.
Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
The value of the acute angle is 40°
Step-by-step explanation:
Let the angle be 'θ'
Length of the ramp = 1 m
Height = 0.643 m
To find :
The angle of elevation.
we can use sine to find the angle of elevation.
sin θ = 0.643/1
sin θ = 0.643
0.643 = sin 40°
sin θ = sin 40°
So, θ = 40°
The angle of elevation is 40°
If you're looking for the solution to the system of equations, here's how we solve using substitution
We know that y = x - 1, so we can plug that into the first equation giving
2x - 3(x-1) = -1
Now distribute the 3 giving 2x - 3x + 3 = -1. After combining like terms we get -x + 3 = -1. Now subtract 3 from both sides, -x = -4, and multiply both sides by -1 to make x positive. x = 4
Now we can plug that into the second equation to get y
y = x - 1, and we know that x = 4, so y = 4 - 1, y = 3. The solution is (4, 3)
An item that costs $205000, when discounted 15 percent, will cost $174250. The easiest way of calculating discount is, in this case, to multiply the normal price $205000 by 15 then divide it by one hundred. So, the discount is equal to $30750. To calculate the sales price, simply deduct the discount of $30750 from the original price $205000 then get $174250 as the sales price. which mean is C