Ok now that i understand the question better i say it is D
Answer:
a = ![\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B7%7D)
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.:
<em>Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.
My answer:
We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
Given that: b=3 and c=4
![a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7](https://tex.z-dn.net/?f=a%5E2%2B3%5E2%3D4%5E2a%5E2%2B9%3D16a%5E2%2B9-9%3D16-9a%5E2%3D7)
so a =
We know that tangent relates opposite side of a right triangle with adjacent side.
![\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%28B%29%3D%5Cfrac%7Ba%7D%7Bb%7D%5C%5C%5Ctext%7Btan%7D%28B%29%3D%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B3%7D)
Please have a look at the attached photos.
Answer:
78.54
Step-by-step explanation:
first you have to divided 31.4 by 3.14 to get your diameter so you can get your radius. 31.4 divided by 3.14 equals 10 and 10 divided by 2 equals 5 which is you radius. The formula for area for a circle is πr². 5 squared is 25 and 3.14 times 25 equals 78 .54 which is your answer.
Answer:
Q = 146
Step-by-step explanation:
We know that angle S and T are equal because the sides are equal
The measure of the exterior angle is equal to the sum of the opposite interior angles in a triangle
Q = S+T
Q = S+S
Q = 2S
Q =2* 73
Q = 146