Answer:
10000000
Step-by-step explanation: Multiply 10*10*10*10*10*10*10
Let’s convert all their jumps into inches.
Breanna’s is already in inches (62)
Myquisha jumped 5 feet 4 inches
There are 12 inches in a foot, so
5 feet * 12 inches= 60 inches
Then add the 4 inches
60+4= 64
So Myquisha jumped 64 inches.
Ariana jumped 1 yard, 2 feet, 7 inches
1 yard is equal to 3 feet.
So, she jumped 5 feet 7 inches
12 inches in a foot, so
5*12=60 inches
Add the 7
60+7= 67 inches
So Breanna jumped 62, Myquisha 64 and Ariana 67
In order of shortest to longest:
Breanna, Myquisha, Ariana
What is x+1^2 is equivalent
As soon as I read this, the words "law of cosines" popped
into my head. I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
could have done that), and I found that it's exactly what
you need for this problem.
The "law of cosines" relates the lengths of the sides of any
triangle to the cosine of one of its angles ... just what we need,
since we know all the sides, and we want to find one of the angles.
To find angle-B, the law of cosines says
b² = a² + c² - 2 a c cosine(B)
B = angle-B
b = the side opposite angle-B = 1.4
a, c = the other 2 sides = 1 and 1.9
(1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)
1.96 = (1) + (3.61) - (3.8) cos(B)
Add 3.8 cos(B) from each side:
1.96 + 3.8 cos(B) = 4.61
Subtract 1.96 from each side:
3.8 cos(B) = 2.65
Divide each side by 3.8 :
cos(B) = 0.69737 (rounded)
Whipping out the
trusty calculator:
B = the angle whose cosine is 0.69737
= 45.784° .
Now, for the first time, I'll take a deep breath, then hold it
while I look back at the question and see whether this is
anywhere near one of the choices ...
By gosh ! Choice 'B' is 45.8° ! yay !
I'll bet that's it !
