Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
The value of e:g is 2:7.
<h3>what is Ratio?</h3>
A ratio indicates how many times one number contains another.
Given:
e:f=3:7
f:g=2:3
Now take LCM of 2 and 7 i.e., 14.
e/f= 3/7= 3*2/7*2= 6/14
and, f/g= 2/3= 2*7/3*7= 14/21
So,
e/g= e/f *f /g
= 6/14*14/21
= 6/21
e:g = 2:7
Hence, the value of e:g is 2:7.
Learn more about ratio here:
brainly.com/question/13419413
#SPJ1
I am presuming that the question is who won or by how much did the winner win.
distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
1600 = 10 t
Divide both sides by 10
t = 160
The hare finished in 160 seconds
For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)
The tortoise won by 5. 28 seconds (160-154.72)
9514 1404 393
Answer:
a) weights: 0.32688, 0.18402, 0.35593, 0.13317
b) geometric average return: 5.42%
Step-by-step explanation:
The total of amounts invested is ...
13500 +7600 +14700 +5500 = 41300
The respective weights for the weighted average are these values divided by the total. For example, 13500/41300 ≈ 0.32688. The remaining weight values are shown in the attached spreadsheet.
The weighted geometric average return is 1 less than the product of 1 more than the individual returns raised to the power of the weight*. That is, ...
weighted average return
= (1.097^0.327)(1.124^0.184)(0.945^0.356)(1.172^0.133) -1
= 1.0542 -1 = 5.42%
_____
* Technically, the weighted geometric average is root of the products of the values to the power of the weight. The root index is the sum of the weights. Here, the sum of weights is 1, so the root is simply the product itself.
E. None, since none of the numbers are repeating (which is how you find the mode)