Answer:
√23
Step-by-step explanation:
When you are given two side lengths of a right triangle, you use the Pythagorean theorem to find the third side: a² + b² = c², where c is the hypotenuse (the longest side).
All you have to do is plug the given information in:
Remember, 13 is the hypotenuse for this triangle.
12² + b² = 13²
Simplify:
144 + b² = 169
Subtract 144 from both sides:
b² = 169-144
b² = 23
Square root both sides:
b = √23
And that's your answer!
Answer:
(1) 12 boxes (2) 1173 points
Step-by-step explanation:
(1) Jamie needs to fit all if his toys in the boxes, so you would need to do 103 times 9, making it 11.4. So, you'd need twelve boxes to fit all of he toys into boxes.
(2) The contestant earned 69 points, and each of those points are worth 17 points, meaning you have to do 17 times 69, which is 1173
.
Answer:
The answer is 60in^2
Step-by-step explanation:
Use the Pythagorean theorem, tan is y/x so y = -3 and x= -2. Because cos is negative and R is always positive. You need to find R- which is the hypotenuse;
3^2 + 2^2 = r^2
9 + 4 = r^2
13 = r^2
√13 = r.
So you already have tan<span>θ,
cot</span><span>θ= 2/3
sin</span>θ= -3/√13 BUT
you have to rationalize, so you get -3 √13/ 13
cscθ= √13/ -3
cosθ= -2/ √13 BUT
you have to rationalize, so you get -2√13/ 13
secθ= √13/ -2
Mixing the two concentrations would give a new concentration which is in between 50 - 60% .
D. 63% cannot be obtained