That is adjacent and huptonuse
soh cah toah
so that is cos
cos(x)=15/21
so tehrfor
cos⁻¹(15/21)=x
where cos⁻¹ means inverse not 1/cos
use your calculator to evaluate cos⁻¹(15/21) in degrees
it is about 44.4153 degres, rounded to 44 degrees
Answer:
To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.
Step-by-step explanation:
A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -4 has even multiplicity of 4 so it only touches and does not cross through.
Root -1 has odd multiplicity of 3 so crosses through.
Root 5 has even multiplicity of 6 so it only touches and does not cross through.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.
To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.
Answer:
Step-by-step explanation:
Corresponding sides of these triangles are proportional, so you have ...
x/5 = 20/x
x² = 5·20 . . . . . . . cross multiply
x = √100 = 10
and ...
y/15 = 5/y
y² = 15·5 . . . . . . cross multiply
y = √75 ≈ 8.7
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For more on the subject, see ...
brainly.com/question/26276659
Answer:
y = 1 - 3x
Step-by-step explanation:
hopes this helps
Answer:
b. n
d. 2^lgn
c. n^2.1
a. 4^2lgn
Step-by-step explanation:
Logarithm is a function of mathematics which is used to calculate inverse function of exponents. The asymptotically smallest function will be the one that has smallest or no exponents. The exponent function is calculated in reverse when log is applied. The function with highest exponents will be largest asymptotically.
