There are 16 cups in a gallon. 6 pints in a quart. 4 quarts in a gallon.
Many when you solve it it works out perfectly.
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

Here we can convert the expression x+1/3 to this.

Rewrite the equation.

Simplify by multiplying both expressions.

<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.


The equation is true for both roots.
<u>Answer</u>

Answer:
Assuming the function is f(x) = 5(2)^x, then the answer is the graph with the point (2,20) on the curve. Plugging in x = 2 leads to y = 20 y = 5(2)^x
Step-by-step explanation: