COS = Adjacent / Hypotenuse
CosZ = 24/30
Answer:
The third option, x < -2 or x ≥ 4
Step-by-step explanation:
First, we need to interpret the graph.
There is an open circle at -2 and a closed circle at 4, which means that x does not include 2 and includes 4.
The left arrow points to numbers lower than -2, and the right arrow points to numbers greater than 4, so X is less than -2 and greater than 4.
Answer:
1.6 times or 60% more than
Step-by-step explanation:
The question seems to be asking about the growth factor in the given exponential function.
<h3>Exponential function</h3>
A generic exponential function will have the form ...
quantity = (initial value) × (growth factor)^(number of intervals)
Comparing this form to the given formula ...
f(x) = 58 × 1.6^x
we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.
Each year the expected number of birds is <u><em>1.6 times</em></u> the number the year before.
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Additional comment
A <em>growth factor</em> is sometimes expressed in terms of a <em>growth rate</em>, usually a percentage.
growth factor = 1 + growth rate
1.6 = 1 + 0.60 = 1 + 60%
The growth rate of this bird population is 60% per year. Each year, the population is <u>60% more than</u> the year before.
isosceles triangle has its 2 side equals and thus 2 angles opposite to equal side are equal.
consider in a triangle ABC
AB = AC then Angle B = Angle C
so here given angle B = 36
so angle C = 36
now in a triangle sum of all 3 angles is 180
so
angle A + angle B +angle C = 180
angle A + 36 +36 = 180
angle A = 180 - 72 = 108
2)
in a right angle triangle one angle is 90. another one is given as 28
so we kNow sum of all 3 angles is 180
so
third angle + 90 + 28 = 180
third angle = 180 - 118 = 62
a. Answer: m = 2
<u>Step-by-step explanation:</u>
f(x) = x² - 4x + 1
f(m) = m² - 4m + 1 = -3
m² - 4m + 4 = 0
(m - 2)(m - 2) = 0
m = 2
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b. Answer: k = 2 and k = 5
<u>Step-by-step explanation:</u>
f(x) = x² - 7x + 14
f(k) = k² - 7k + 14 = 4
k² - 7k + 10 = 0
(k - 2)(k - 5) = 0
k = 2 k = 5