A kite is stuck in a tree and Joe is holding the string. The angle formed between the kite string and the tree is 50°. The distance between Joe
and the tree is 12 feet. How long is the kite string? Round to the nearest
tenth.

15 feet

Step-by-step explanation:

u04- (Saresp–2008) Nas Lojas Compre Aqui, um micro-ondas pode ser vendido de duas formas: à vista por R$ 299,00 ou em 12 parcelas iguais de R$ 32,15. As amigas Giovana e Mariana compraram, cada uma, um micro-ondas nessa loja: a primeira, à vista e a segunda, a prazo. Assinale a alternativa que mostra a quantia que Mariana pagou a mais do que Giovana.

2 pontos

a) R$ 22,50.

b) R$ 86,80.

c) R$ 129,30.

d) R$ 266,85.

e) Não houve diferença

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8