The tangent ratio is
tan(38°) = opposite/adjacent = (height of cliff)/(distance to base)
Multiplying the equation by the denominator gives
height of cliff = (80 ft)*tan(38°) ≈ 62.5 ft
Answer:
The angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees
Given the following angles from the diagram;
m<5 = 55 degrees
m<9 = 80degrees
From the diagram
m<5 = m<1 = 55 degrees (corresponding angle)
m<1 + m<2 = 180 (sum of angle on a straight line)
Hence;
55 + m<2 = 180
m<2 = 180 - 55
m<2 = 125degrees
Also;
m<5 = m<8 = 55 degrees (vertically opposite angle)
m<9 = m<13 = 80degrees
m<13 + m<14 = 180
Hence;
80 + m<14 = 180
m<14 = 180 - 80
m<14 = 100 degrees
Hence the angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees
Step-by-step explanation:
A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.
Now, the total number of credit cards that are opened at both the location together will be,
Total number of credit cards = A(t) + B(t)
= 20 + 4t + 25 - t
= 20 + 25 + 4t - t
= 45 + 3t
Hence, the total amount of credit cards opened at the two locations is given as 45+3t.
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D) y=0.75x+1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
