Answer:
12;16
Step-by-step explanation:
The Pythagorean theorem states that
a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.
This means that we have to find 2 values that once squared, add up to 400. (20^2)
Based on this, we can use the values of 12 and 16 to satisfy this.
12^2+16^2=144*256=400
Therefore, the legs of the triangle are 12 and 16.
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
The question is an illustration of arithmetic operations.
The integer that represents the vertical rise is 76
<em>Upward movements are represented with positive, while downward movements are represented with negative.</em>
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So, the given parameters are:
The vertical rise is:
So, we have:
Hence, the integer that represents the vertical rise is 76
Read more about arithmetic operations at:
brainly.com/question/15385899
You dident give us a picture of it so we cant tell
Answer:
B. 45°
Step-by-step explanation:
recall that Thales' theorem states that the diameter of a circle always subtends a right angle on any point on the circle.
what this means is that if ABC is the diameter of the circle, then AD and DC always meet at the circumference at 90°
in this case, if ∠ADC is 90° (by thales theorem), and AD = DC, then we have an isoceles triangle.
This also means that the base angles of the isoceles triangle, ∠DAC and ∠ACD must be equal.
recall that all interior angles of a triangle add up to 180°
180° = ∠ADC + ∠DAC +∠ACD
180° = ∠ADC + 2 ∠ACD
180° = 90° + 2 ∠ACD
2 ∠ACD = 90°
∠ACD = 45°
