Using cosine law:
24 ^ 2 = 10 ^ 2 + 16 ^ 2 -2 * 10 * 16 * cos (G)
Clearing we have:
cos (G) = (24 ^ 2-10 ^ 2-16 ^ 2) / (- 2 * 10 * 16)
cos (G) = - 0.6875
Clearing the angle:
G = acos (-0.6875)
G = 133.4325366
Rounding:
G = 133.4
Answer:
G = 133.4
option 4
Mary's backpack: 25% of 65 = 0.25 * 65 = 16.25; 65 - 16.25 = $48.75
Roberto's backpack: 30% of 75 = 0.3 * 75 = 22.5; 75 - 22.5 = $52.5
Mary's backpack was a better buy because it was cheaper.
Answer: The family would have three cats. Hoped that Helped
Set up a proportion. Let h = the statue height. h/statue shadow = boy height/boy shadow.
h/25 = 4.5/3.6
Cross multiply and solve for h.
We want to calculate the following

Using the properties of exponents, we have that

So we have

So, if factor 10^-4 on the right side, we have

Note that

Then,

So we have that