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Brums [2.3K]
3 years ago
8

If point D is placed on AC, how will the measure of

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

a

Step-by-step explanation:

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If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what
Lisa [10]
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
=\cfrac{y}{r}
=\cfrac{1}{csc(\theta)}
\\ \quad \\\\
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}
=\cfrac{x}{r}
=\cfrac{1}{sec(\theta)}
\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
=\cfrac{y}{x}
=\cfrac{sin(\theta)}{cos(\theta)}

\bf cot(\theta)=\cfrac{adjacent}{opposite}
=\cfrac{x}{y}
=\cfrac{cos(\theta)}{sin(\theta)}
\\ \quad \\\\
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
=\cfrac{r}{y}
=\cfrac{1}{sin(\theta)}
\\ \quad \\\\
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}
=\cfrac{r}{x}
=\cfrac{1}{cos(\theta)}\\\\
-------------------------------\\\\
P(x,y)\implies \delta\qquad tan(\delta)=\cfrac{y}{x}
5 0
3 years ago
How do you solve 2 and 3? Please simplify the answer also
quester [9]
1. 2/3
2. 19/24

Hope I helped!
5 0
3 years ago
What happens to the value of the expression 150-j as j decrease
astraxan [27]

Answer:

As j decreases, the expression increases.

Step-by-step explanation:

As j decreases, the expression will increase. This is because once it becomes a lower number, it will subtract less from 150, and it will soon eventually add towards with 150, if j is negative.

Hope this helps!

3 0
4 years ago
A two-factor research study has 2 levels of factor A and 3 levels of factor B with a separate sample of n = 5 subjects in each t
amid [387]

Answer:

option (b) df = 1, 24

Step-by-step explanation:

Data provided in the question:

levels of factor A, a = 2

levels of factor B, b = 3

Subjects in each Sample, s = 5

n = 5 × 3 × 2 = 30

Now

df for Factor A = a - 1

= 2 - 1

= 1

df for Factor B = b - 1

= 3 - 1

= 2

df for Interaction AB = ( a - 1 ) × ( b - 1 )

= 1  × 2

= 2

df for Total = n - 1

= 30 - 1

= 29

df for error = 29 - 5

= 24

Hence,

df values for the F-ratio evaluating the main effect of factor A is 1, 24

The correct answer is option (b) df = 1, 24

6 0
4 years ago
Write the equation of the line that satisfies the following conditions:
eduard

Answer:

a. y=-x+-5

b. y=\frac{4}{3}x+\frac{5}{3}

Step-by-step explanation:

to solve part a we have the slope of the line and a point, so we use the point-slope equation

y=m(x-x_{1})+y_{1}

where m is the slope: m=-1, and (x_{1},y_{1}) is the point, so in this case the point is (0,-5) thus x_{1}=0 and y_{1}=-5.Thus the equation is:

y=-1(x-0)+(-5)

y=-x+-5

And for part b we have two points. With the two points we can find the slope and then use the point-slope equation again.

To find the slope we use:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

for the points (x_{1},y_{1}) and (x_{2},y_{2}). Since we have the poits: (1,3) and (-2,-1)

x_{1}=1\\y_{1}=3\\x_{2}=-2\\y_{2}=-1

Thus, the slope:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-1-3}{-2-1}

m=\frac{-4}{-3}

m=\frac{4}{3}

and now using the point-slope equation:

y=m(x-x_{1})+y_{1}

y=\frac{4}{3}(x-1)+3\\y=\frac{4}{3}x-\frac{4}{3} +3\\y=\frac{4}{3}x+\frac{5}{3}

7 0
3 years ago
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