Answer:
c=19.21
<C=90
<B=38.66°
<A=51.34
Step-by-step explanation:
12²+15²=c²
144+225=c²
c=19.21
<C=90
For angle B, the sinB=Opposite over Hypotenuse
sinB=12/19.21
sinB=0.62467
B=sin^-1(0.62467)
<B=38.66°
To find A, 180-90-38.66
<A=51.34
Answer:
(B) -25/4
Step-by-step explanation:
-5/3 ÷ 4/15
Copy dot flip
-5/3 * 15/4
Rewriting for easier math
-5/4 * 15/3
-5/4 * 5
-25/4
Answer:
Yes, the relationship can be described by a constant rate of $18.75 per dog
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x ----> the number of dogs
y ---> the amount of money earned
we have the points
step 1
Find the slope with the first and second point
step 2
Find the slope with the first and third point
Compare the slopes
The slopes are the same
That means, that the three points lies on the same line
therefore
Yes, the relationship can be described by a constant rate of $18.75 per dog
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk