Answer:
96 square units
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
- The length of the large rectangle is: 5
- The width of the large rectangle is: 7
=> Area of the large rectangle = length × width = 7*5 = 35 square units
- The length of the middle rectangle is: 7
- The width of the middle rectangle is: 4
=> Area of the middle rectangle = length × width = 7*4 = 28 square units
- The length of the small rectangle is: 7
- The width of the small rectangle is: 3
=> Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* 
Total surface area = 35 + 28 + 21 + 12 = 96 square units
Only 2 forces are out of balance - the 22N and the 14N
So the resultant force is 22-14 = 8N.
4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
Answer:
5 units
Step-by-step explanation:
An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:
2L + B = 14 units
Where:
L is the measure of one leg
B is the measure of the base
Since two legs are the same and the base is 1 less, this means the measure of each leg would be:
B = L -1
Now we have two equations:
2L + B = 14 units
B = L- 1
We plug one equation into the other and make 1 equation:
2L + (L-1) = 14 units
Get rid of the parentheses:
2L + L - 1 = 14
Combine like terms:
3L - 1 = 14
Add 1 to both sides of the equation:
3L - 1 + 1 = 14 + 1
3L = 15
Divide both sides by 3:
3L/3 = 15/3
L = 5
So the length of a leg is 5 units
Let's check!
B = L - 1
B = 5 - 1
B = 4
Then we use that to solve for the perimeter:
2L + B
2(5) + 4
10 + 4 = 14
