Length of bridge = 53 meters
Length changes expected due to changes in temperature = expansion or contraction by 21 millimeters (or 0.021 meters)
Let length of bridge at any given time be 'a'
As an absolute value equation, the situation can be expressed as:
⇒ |a-53| < 0.021
Solving the equation
⇒ -0.021 < a-53 < 0.021
⇒ 53 - 0.021 < a < 53 + 0.021
⇒ 52.979 < a < 53.021
Hence, the minimum length of the bridge can be 52.979 meters and the maximum length of the bridge can be 53.021 meters.
Answer:
<h2><u>
D. -3</u></h2>
Step-by-step explanation:
The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis. There are several ways to find the y-intercept of an equation, depending on the starting information you have.
<u>How to find the Y-Intercept from the Slope and Point.</u>
Write down the slope and point. The slope or "rise over run" is a single number that tells you how steep the line is. This type of problem also gives you the (x, y) coordinate of one point along the graph. Skip to the other methods below if you don't have both these pieces of information.
- Example 1: A straight line with slope 2 contains the point (-3,4). Find the y-intercept of this line using the steps below.
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Answer:
Global warming is a huge problem
Step-by-step explanation: If the ice caps melts, that means that there is more water in the ocean, the more water in the ocean, the less land there is to live on.
Hence first mechanic worked for 15 hours and second mechanic worked for 5 hours.
<h3>What is ratio and proportion?</h3>
When comparing two quantities of the same kind, ratio is utilized.
For two numbers, a and b, the ratio formula is written as a: b or a/b.
Two or more ratios are said to be in proportion if they are all equal.
Fractions are the foundation of the concepts of ratio and proportion.
Let x is the number of hours the first mechanic worked and y is the number of hours the second mechanic worked.
∵x+y = 20
x = 20 - y
115x+100y = 2225
115(20-y) + 100y = 2225
2300 - 115y +100y = 2225
15y = 75
y = 5 hours
∴ x = 20-5
x = 15 hours
To know more about ratio and proportion please visit:
brainly.com/question/26974513
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