Answer:
Only Figure 4
Step-by-step explanation:
A regular polygon has all congruent sides and angles. Only Figure 4 has these qualities.
Figure 1 doesn't have congruent angles.
Figure 2 doesn't either.
Figure 3 doesn't have a congruent sides.
Answer:
20mm
Step-by-step explanation:
base=20mm
base x 2 because there are two long lines
20 x 2 = 40
42-40=2
amount needed on either side to balance
height=1mm
20 x 1 = 20mm
area = 20mm
Answer:
30
Step-by-step explanation:
We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.
Answer:
<u>M(t) = 6.7 * 10⁷ (67 million)</u>
<u>Minutes (t) =55</u>
Step-by-step explanation:
1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.
For answering this question, we will use the following formula:
M(t) = B₀ * g ^(t/m), where:
- M(t) represents the total number of bacterial microbes in millions.
- B₀ represents the initial population of bacteria in millions.
- g represents the growth factor.
- t represents the total number of minutes we will observe the bacteria growing.
- m represents the time in minutes it takes to the growth factor g to occur.
2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.
M(t) = B₀ * g ^(t/m)
Replacing with the values we know:
6.7 * 10⁷ = 10⁷ * 2 ^(t/20)
6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)
ln 6.7 = ln 2 ^(t/20)
ln 6.7 = t/20 ln 2
ln 6.7/ ln 2 = t/20
t = ln 6.7/ln 2 * 20
t = 2.74 * 20
t = 54.88
<u>t ≅ 55 (rounding to the nearest minute)</u>
If 1/3 = 12, then multiply 12 by 3 to get the number, which is 36
then split 36 in half, and you get 18.
hope this helps!