A because (-5)^2 = 25 + 2(5) =35-1=34
it equals <span>(−<span>12</span>)</span> because <span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>
Explanation:
The reference angle for <span>240∘</span> is <span>60∘</span> (since <span><span>240∘</span>=<span>180∘</span>+<span>60∘</span></span>)
<span>60∘</span> is an angle of one of the standard triangles with
<span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>
<span>240∘</span> is in the 3rd quadrant so (either by CAST or noting that the "x-side" of the associate triangle is negative)
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span>cos<span>(<span>60∘</span>)</span></span></span>
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span><span>12</span></span></span>
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:
a + b = 155000 (1)
Also:
0.1a + 0.08b = 14100 (2)
From both equations:
a = 85000, b = 70000
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
Find out more on equation at: brainly.com/question/2972832
#SPJ1
<em>The slope is 7/4</em>
<em>This means that for every 7 that Y changes, X changes by 4. Also, the problem would not go through the origin of a graph.</em>
<em>Hope this helps and have a nice day.</em>
<em>-R3TR0 Z3R0 (復古零) </em>
Answer:
See explanation
Step-by-step explanation:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then
Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so
You get the system of two inequalities:
The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.
