A numeric form using exponents.
Step-by-step explanation:
with the starting definition of PT = TQ we know that T is the midpoint between P and Q.
that means there is the same distance between P and T as between T and Q.
14a.
the answer is already above
PT = TQ = 5
14b.
since T is the midpoint, its distance to the endpoints P and Q is half of the overran distance bergen P and Q.
PQ = 2×5 = 10
Answer:
• lateral area: 36√3 square units
• total surface area: (36 +36√3) square units
Step-by-step explanation:
The area of an equilateral triangle of side length s is given by ...
A = (√3)/4·s^2
Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...
LA = √3·(6 units)^2 = 36√3 square units
___
Of course the area of the square base is simply the square of its edge length, so is ...
A = (6 units)^2 = 36 square units
That means the total surface area, the lateral area plus the base area, is ...
(36 +36√3) square units
Answer:
63
Step-by-step explanation:
Each day is 9 minutes more than the last
Answer:
B. 36°
Step-by-step explanation:
According to the sum of angles of triangles, in a triangle, the three interior angles always add to 180°: A + B + C = 180°.
We are given two angles, so we must solve for the third so their sum is 180.
65 +79 + x = 180. Add.
144 + x = 180. Subtract 144 from both sides.
x = 36.
Therefore, the missing angle is 36°.
Hope this helps!