Those angles have to be equal

so 3x-25=6x-80

3x-6x=-80+25

-3x=-55

x=55/3

**Answer:**

t=11.9

**Step-by-step explanation:**

960=420(2)^t/10

2.28571429=2^t/10

add log to both sides

log(2.28571429)=10
t log(2)

divide by log 2

1.19264508= 10
/t

10(1.19264508)

11.926450779=t

**Answer:**

**Step-by-step explanation:**

we need that theta angle .. soooo.... use SOH CAH TOA to remind yourself how the trig functions fit on the triangle.....

since we have all 3 side any one of the above trig functions would work. as a side note.. Tan is limited to the 1st quadrant on a calculator.. so maybe Cos is a good choice. although it would work in this case....

sooo ....

Cos(Ф) = Adj / Hyp

Ф = arcCos( 24 /25)

Ф ≈16.26°

I don't have csc on my calculator but I know that 1/sin = csc sooo

csc(16.26)=1/sin(16.26) ≈ 3.57

sec(16.26)= 1/cos(26.26) ≈ 1.041

cot(16.26) = cos(16.26) / sin(16.26) ≈3.476

**Answer:**

<u>The simplest system:</u>

<u>Solve by eliminating y:</u>

- x² = x
- x(x - 1) = 0
- x₁ = 0
- x₂ = 1

<u>Then the value of y:</u>

<em>The graphical solution is attached </em>