Answer:
angle 5 is 61°
angle 7 is 61°
Step-by-step explanation:
1. angle 7 + angle 8 = 90° Because they are complementary angles
2. Because of point 1 above, angle 5 + angle 6 = 90°
3. since given angle 6 = 29°
so, angle 5 = 90° - 29° = 61°
4. since given angle 5 = angle 8
so, angle 8 = 61°
5. from point 1 above,
angle 7 + 61° = 90°
so angle 7 = 29°
Answer:
3/10
Step-by-step explanation:
The first thing that you need to do is to find the common denominator of the two fractions. The least common multiple of 2 and 5 is 10, so we can express the new equation as 15/10-12/10=3/10. Hope this helps!
Hi!
(l = Lenny
m = Max)
Lenny is 3 times as old as Max.
3m = l
When you subtract Max's age from Lenny's age, you get 24.
L - m = 24
Put in the value of l.
3m - m = 24
There is our equation.
Now solve
2m = 24
2m/2 = 24/2
m = 12
3 * 12 = l
36 = l
The equation is 3m - m = 24
Max is 12 and Lenny is 36.
Hope this helps! :)
-Peredhel
Answer:
Add the numbers together and divide by the number of numbers. (The sum of values divided by the number of values).
Step-by-step explanation:
We have that
sin ∅=-0.7660
the sin ∅ is negative
so
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428
tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917
the answer is
tan ∅ is 1.1917
