Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
Since there are 4 quarts in a gallon and we have 28 quarts we would have 7 gallons.
<u>The answer is 7. </u>
Answer:
75 degrees
Step-by-step explanation:
I know the measure of the triangle's third angle is 75 degrees because all the angles of a triangle add up to 180 degrees. So, I did 180-62-43 and got 75. So, in order for this triangle to be true, the third triangle would have to be 75 degrees.
To check: 43 degrees+ 62 degrees+ 75 degrees = 180 degrees.
Answer:
1) 2(t+1)(t−7)
2) 7 months
Step-by-step explanation:
We are supposed to explain why the given function can be expressed in form 
, when 
.
Since the given function is an exponential function we can express it as 
.
Now let us substitute x=0 in the given function,
Let us substitute x=0 in our function.
Upon substituting a=1 in our function we will get,
Therefore, our function f can be represented by the formula of the form .
