Answer:
sinΘ = 
Step-by-step explanation:
sinΘ = 
= 
=
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
Vertex: (1,-4)
axis of symmetry: x=1
min
minimum value: y=-4
x intercepts: -1, 3
y intercept: -3
i dont know how to find solutions or roots sorry
Answer:
Step-by-step explanation:
Answer: m∠W = 56
because UVWX is a rhombus
=> UV // WX
=> 2y + 2y - 68 = 180
<=> 4y = 248
<=> y = 62
=> m∠W = 2.62 - 68 = 56
Step-by-step explanation:
