Take the area of the rectangle as a whole and subtract the triangle piece.
We know the dimensions of the triangle are 3x4 so you can multiply it out using the formula to find the triangle's area to get 6.
Then you calculate the area of the whole rectangle. 10x12=120.
Finally subtract the triangle from the rectangle. 120-6=114.
The Area of the deck is 114.
Answer:
x = 20
I am not sure if you wanted the answer. Sorry!
Step-by-step explanation:
Let's solve your equation step-by-step.
1/10 x + 5 = - 3x - 13 + 4x
Step 1: Simplify both sides of the equation.
1/10 x + 5 = - 3x - 13 + 4x
1/10 x + 5 = - 3x + - 13 + 4x
1/10 x + 5 = (<em>- 3x + 4x</em>) + (- 13)
1/10 x + 5 = <em>x</em> + - 13
1/10 x + 5 = x - 13
Step 2: Subtract x from both sides.
1/10 x + 5 - <em>x </em>= x - 13 - <em>x</em>
- 9/10 x + 5 = - 13
Step 3: Subtract 5 from both sides
- 9/10 x + 5 - <em>5</em> = - 13 - <em>5</em>
- 9/10 x = - 18
Step 4: Multiply both sides by 10/(- 9).
(<em>10/ - 9</em>) * (- 9/10 x) = (<em>01/ - 9</em>) * (- 18)
x = 20
Hope this helps!
Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force 
applied to an object with mass 
is directly proportional to its acceleration 
:
(1)
If we isolate :
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):
(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of 
, its mass 
will be:
(6)
(7)
Finding :
This is the mass of the object
Divide 5.00 by 1.5 and you get (it's pretty long) 3.3333333333333333333333333333333
Given BD and AC is a diameter of the circle:
We need to find the following:
1. measure of the arc BA
So,
the measure of the minor arc BA = 44
The measure of the major arc BA = 360 - 44 = 316
2. the measure of the arc ACB = 360 - 44 = 316
3. The arc BCD is a semicircle of the circle
So, the measure of the arc BCD = 180
