The expression to find the value of the final angle of the triangle will be 180° - 40° - α.
<h3>How to solve the triangle?</h3>
Your information is incomplete as the triangle isn't attached. Therefore, an overview will be given.
Firstly, it's important to know that the total angle in a triangle is 180°. A triangle has three sides. In this case, angle B is given as α.
Let's assume that another angle is given as 40°. Therefore, the expression to find the value of the final angle will be 180° - 40° - α
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Answer:
$149
Step-by-step explanation:
The computation of the amount left for the shopping is shown below;
= Amount have - Electricity bill - Water bill - telephone bill
= $430 - $119 - $65 - $97
= $149
We simply deduct all expenses from the amount available so the remaining amount i.e. left would be considered for shopping
Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, 
= d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = = -6.25 ft = 6.25 ft. below the surface of the water.
