1. What is the verbal expression for m<4?
1 answer:
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It would take 26 years.
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have
The side RS is 7 cm. For a similar triangle, the ratio of the opposite side of the two similar triangle are the same.
<h3>What is SAS similarity theorem?</h3>ΔABC ~ ΔDEF only if the ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal, and the angle included in both sides are congruent.
Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then for SAS similarity, we need
For the similar triangle;
Hence, the side RS is 7 cm.]
To learn more about the SAS similarity theorem, refer to link;
#SPJ1
Answer:
15.1
Step-by-step explanation:
We know that the area of the circle is , but we are looking for the portion of the circle, this means we multiply it by the portion of the circle that is shaded.
Area of shaded region =
where r = 4 and x = 108, the 360 comes from the fact that the total degrees around the circle is 360, so dividing the total amount of degrees by the angle will give us the portion we are looking for.
Area of shaded region = = 15.1
Another way to think about it is that the area of the total circle is , multiplying it by a fraction, a number less than 1, would give us a smaller value.
Hope this helps.