Answer:
The length of the hypotenuse is 17.
Step-by-step explanation:
I found this out by doing:
15 x 15 = 225
8 x 8 = 64
225 + 64 = 289
Hope this helps you! :)
Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Answer:
Shown - See explanation
Step-by-step explanation:
Solution:-
- The given form for rate of change is:
8 sec(x) tan(x) − 8 sin(x).
- The form we need to show:
8 sin(x) tan2(x)
- We will first use reciprocal identities:
- Now take LCM:
- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:
- Again use pythagorean identity tan(x) = sin(x) / cos(x):
Answer:
16. Mst = 104°
17. The value of mPL is 31°
18. 129°
Step-by-step explanation:
You can use the Pythagorean theorem for this problem.
a^2 + b^2 = c^2
a^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 75
a = 8.66
h = 8.7
Hope this helps =)