Answer: These are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°
Explanation:
As per the usual convention the side c is opposite to the angle C, side a is opposite to angle a, and side b is opposite to angle B.
That means that c is the hypotenuse of the triangle.
Then, a is one leg, and b is the other leg.
Therefore, you can use Pythagorean theorem to find the unknown leg, b:
c² = a² + b² ⇒ b² = c² - a²
⇒ b² = 19² - 3² = 352
⇒ b = √352 = 18.76
Now you can use any trigonometric ratio to find one of the unknowm angles.
I wll use sine ratio to find the angle opposite to a:
sin (A) = a / 19 = 3 / 19
⇒ A = arcsin (3/19) ≈ 9.1°.
Then, the other angle is: B = 180° - 9.1° - 90° = 80.9°
And those are all the sides and angles:
a = 3
b = 18.76
c = 19
A = 9.1°
B = 80.9°
C = 90°
A ratio comparing two quantities measures in different units . An equation stating that two ratios or rates are equivalent. Percent proportion . One ratio or function compares part of a quantity to the whole quantity.
Answer: x = 8
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I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)
log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2
Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.
Only x = 8 is a proper solution.
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You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)
So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed
It’s 25. Hope this helps ✌️
Answer:
B) 376 units squared
Step-by-step explanation:
Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)
Btw saw your other one got deleted •_• *sigh*
