A) 0.59 uses 2 sig figs
B) 100.6 uses 4 sig figs (the zeros in this case are significant)
C) 98.42 uses 4 sig figs
D) 1.045 uses 4 sig figs (the zero is between other sig figs so it's significant)
Every choice but choice A has 4 sig figs. So the answers are B, C, and D
Check the picture below.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.
<h3>
Answer: x = 19.7 (choice C)</h3>
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Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
- opposite = vertical leg = 8
- adjacent = horizontal leg = unknown
- hypotenuse = x
The hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
Answer:
In the last two sections, we considered very simple inequalities which required one-step to obtain the solution. However, most inequalities require several steps to arrive at the solution. As with solving equations, we must use the order of operations to find the correct solution. In addition remember that when we multiply or divide the inequality by a negative number the direction of the inequality changes.
The general procedure for solving multi-step inequalities is as follows.
Clear parenthesis on both sides of the inequality and collect like terms.
Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.
Multiply and divide by whatever constants are attached to the variable. Remember to change the direction of the inequality if you multiply or divide by a negative number.
Step-by-step explanation:
Answer:
The length of the rectangle = 63 ft
Step-by-step explanation:
Let us assume the width of the rectangle = m ft
So, the length of the rectangle = 3 x Width = 3 x m = 3 m ft
Perimeter = 168 ft
PERIMETER OF A RECTANGLE = 2 (LENGTH + WIDTH)
⇒ 168 ft = 2 ( 3 m + m)
or, 168 = 2 ( 4 m)
or, 8 m = 168
⇒ m = 168/8 = 21
or, m = 21 ft
Hence, the width of the rectangle = m = 21 ft
And the length of the rectangle = 3 x m = 3 x 21 = 63 ft
