Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
The distance from A to B is the radius, as point A is the center of the circle, and B is a point on the circle.
AB is 5 inches, so the radius will be 5 inches.
D is another point on the circle, so AD would also be considered a radius. This means that the distance from A to D would be 5 inches.
Answer
500
Step-by-step explanation:
If the biologist tags 25 birds and lets them go, and then catches 100 and 5 of them have the tags, that would mean 20 of them are still out in the wild.
The way to solve this is if you put it into a proportion.
5/100 = 25/x
5x = (100)(25)
5x = 2500
5x/5 = 2500/5
x = 500
5/100=25/500
Answer:
y = 15x + 8
Step-by-step explanation:
Hey there!
15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.
Hope this helps!
