Please help and explain your reasoning

Mathematics

1 answer:

sineoko [7]3 years ago

8 0

Answer:

a) 1 atm

b) 2 atm

c) 3 atm

d) f(x) = (1/33)d + 1

Step-by-step explanation:

a) Surface of the water is the same as 0 depth, and the table shows that when there's 0 depth in feet, there is 1 atm of pressure.

b) Table shows when 33 feet deep, there is 2 atm of pressure.

c) Table shows when 6 feet deep, there is 3 atm of pressure.

d) To make a function equation, you need to find the slope and y-intercept.

The slope is (y2-y1)/(x2-x1), which would be (3-2)/(66-33). This would equal 1/33, which is our slope.

The y-intercept would be the y coordinate of where the x coordinate would equal 0, which would be 1 in this case.

Function equation is y = mx + b

m = slope

b = y-intercept

-> y = (1/33)x + 1

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I WILL AWARD BRAINLIEST!! PLEASE HELP!!

Anastasy [175]

Answer:

$m$ ∠ $EBC=65$ ° $15'$ and $AC=20in$

Step-by-step explanation:

Given:

$AB$ ≅ $BC$

$AE=10in\\m\angle FEC=90\\m\angle ABC=130\°30'$

From the given Data, we can conclude the following:

1. Since two sides of the triangle ABC are congruent, therefore its an isosceles triangle.

2. $m\angle FEC=90$ °. This shows that the line BE is perpendicular to AC. By property of isosceles triangle, the line which passes from the vertex of the largest angle of triangle and cuts the opposite side(base) perpendicularly is the perpendicular bisector of the side and angle bisector of the angle.