Answer:
Step-by-step explanation:
If the ratio of triangle = 3:5:7
Total ratio = 3+5+7 = 15
The sum of angle in a triangle is 180°
1st angle= 3/15× 180 = 3 × 12 = 36°
2nd angle= 5/15 × 180 = 5 × 12 = 60°
3rd angle= 7/15 × 180 = 7 × 12 = 84°
A.
Circumference = π * diameter or
π * 2*radius (diameter = 2 * radius).
So you would divide by π to get the diameter, then divide by 2 to get the radius. So A.
Answer: it's 6x + 8 if you solve it
1. The fractions shown are 3/4 and 6/8.
2. The multiplier is 2.
3. The fractions shown are 12/18 and 4/6
4. The divisor is 3.
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
