Answer:
it'll just be 140º
Step-by-step explanation:
because the central angle and the arc value are both congruent
Answer:
80
Step-by-step explanation:
No of types of car model = 8
No of color = 10
we can solve this problem by using fundamental principle of counting.
It states that if there are "m" ways to do a thing and there are "n" ways to do other thing then there are "m*n* ways of doing two things together.
For example if there are 3 shirts and 4 pants then there are 3 * 4 different ways to wear combination of shirts and pants.
Similarly in this problem there 8 different car model and 10 different colors hence there are 8 * 10 = 80 different ways to select combination of car model and colors.
Thus there are 80 number of cars Nick could design
answer is 25
Step-by-step explanation:
for something like this you need to use the law of sins. First identify all the angles. There is a 90 degree angle and a 59 degree angle and those are clear. the missing angle is = 59 + 90 = 149
since a triangle has 180 degrees in total you say 180 - 149 = 31. the missing angle is 31 degrees. so we give the angles names. angle with 59 degrees will be angle A, 90 will be B and 31 will be C. So now we just give the sides names. let's replace that x with an a since it's across angle A. the side along angle B will be named b and the side along angle C will be named c. so you say:
Sin A/ a (sin A over a) = Sin B/b = Sin C/c
Sin A is what we are looking for so we say
59 degrees over/ x = sin 31 degrees/ 13 (we leave out the 90 degrees since we don't know the side and also we are not interested in it)
now we do cross multiplying.
say x ×sin 31 degrees = 13× sin 59
now divide these by sin 31
x = 13 × sin 59 ÷ 31 = 25