Answer:
The slope of the table is
or
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have the following ordered pairs
(2,6),(0,1),(-2,-4) and (-4,-9)
take two points
(2,6) and (-4,-9)
substitute in the formula
simplify
Answer:
x ≈ 63.27
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan49° =
=
=
( multiply both sides by 55 )
55 × tan49° = x , then
x ≈ 63.27 ( to the nearest hundredth )
1.28 = 128 * 10^-2
128 * (1/10^2)
128 / 10^2
128 / 100
1.28
Because, it's literally the same thing mathematically if you worked it out. Though, as I'm sure you're aware, it's just a much shorter and cleaner way of writing out large or small numbers.
<h3><em><u>given</u></em></h3>
<em><u>5m</u></em><em><u> </u></em><em><u>long</u></em><em><u> </u></em><em><u>ladder</u></em><em><u> </u></em><em><u>placed</u></em><em><u> </u></em><em><u>against</u></em><em><u> </u></em><em><u>4.3m</u></em><em><u> </u></em><em><u>up</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>wall</u></em><em><u>.</u></em>
<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>
<em><u>the</u></em><em><u> </u></em><em><u>angle</u></em><em><u> </u></em><em><u>between</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ladder</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ground</u></em><em><u>.</u></em>
<h3><em><u>solution</u></em><em><u>:</u></em></h3>
<em><u>Based on the given conditions, formulate: </u></em>
<em><u>sinx=4.3÷5</u></em>
<em><u>Evaluate the equation/expression</u></em><em><u>:</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>1.0352</u></em><em><u>7</u></em><em><u> </u></em><em><u>or</u></em><em><u> </u></em><em><u>2.10</u></em><em><u>6</u></em><em><u>3</u></em><em><u>2</u></em>
<em><u>x= 1.03527</u></em><em><u>°</u></em>
<em><u>or</u></em><em><u> </u></em><em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>2.10632</u></em><em><u>°</u></em>
Answer: 2
Step-by-step explanation:
(x1,y1) = (-1,0)
(x2,y2) = (3,8)
m = (8–0)/(3-(-1))
m = 8/(3+1)
m = 8/4
m = 2