Answer:
m2 = 145
m3 = 145
m4 = 35
Step-by-step explanation:
m<1 = m<4 because of vertical angles
m<2 + m<1 = 180
m<2 + 35 = 180
m<2 = 145
m<2 = m<3 because of vertical angles
The lateral area is the area of everything but the base. A shortcut formula for this area is Ph. (where P is the perimeter of the base and h is the height of the prism).
So the lateral area is (3+9+9.49)x37 = 795.13 m^2 or 795 m^2
The surface area is the lateral area plus the area of the 2 bases. The base is a triangle. (area = 1/2 bh)
Since there are two identical bases, the total area of the base is just 3x9 = 27
So the surface area is 795.13 + 27 = 822.13 m^2 or 822 m^2.
Answer:
Step-by-step explanation:
The sunflower then began to grow at a rate of 2 inches per week. This means that the rate of growth of the sunflower is in arithmetic progression. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 25 inches
d = 2 inches
To determine the height after 7 weeks, T7
n = 7
T7 = 25 + 2(7 - 1)
T7 = 25 + 12
T7 = 37 inches
To determine the height after w weeks, Tw
n = w
Tw = 25 + 2(w - 1)
Tw = 25 + 2w - 2
Tw = 23 + 2w
Answer:
20.9
Step-by-step explanation: