Answer:
Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:
we can substitute the value of sec(θ) in this equation:
and solve for for cos(θ)
side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by 
b) since right triangle is mentioned in the question. We can use:
we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.
- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:
and since 
Answer:
A = 52°, a = 149.2, c = 174.3
Step-by-step explanation:
Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.
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The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.
c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice
Answer:
32 MPH
Step-by-step explanation:
MPH= Distance/Time
24/(3/4)= 24*4/3 = 96/3 = 32 MPH
we conclude that the point on this line that is apparent from the given equation is (-6, 6)
<h3>
Which point is on the line, only by looking at the equation?</h3>
Remember that a general linear equation in slope-intercept form is:
y = a*x + b
Where a is the slope.
Here we have the linear equation:
y - 6= (-23)*(x + 6)
Now, for a linear equation with a slope a and a point (h, k), the point slope form of the linear equation is:
(y - k) = a*(x - h)
Now we can compare that general form with our equation, we will get:
(y - k) = a*(x - h)
(y - 6) = (-23)*(x + 6)
Then we have: k = 6 and h = -6.
Thus, we conclude that the point on this line that is apparent from the given equation is (-6, 6).
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
The area of a triangle is A=1/2b*h
You have the base (b) and you have the area (A)
So, if you plug in what you know, you get this:
45.5=1/2*10*h
Simplify it:
45.5=5h
Now solve for h
Divide by 5 to get h alone:
9.1=h
Your height is 9.1cm
Hope this helps :)
