Answer: A. The original price was $608. B. $76 each week C. Quite useful, as it keeps track of the amount of money she still needs to owe each week.
Step-by-step explanation: For part A, 5 week subtracted by 2 weeks is 3 weeks. 456-228 is 228. Then divide 228 by 3 and you get $76. Then do 2x76 to get 152 and add it to 456, and you get 608.
To solve this problem, we should create an equation using the given information. To do this, we should calculate the slope between the two points as if they were regular points, giving us:
change in y/change in x = (v-4)/(-6-0) = (v-4)/(-6)
Since we know that the slope is 2, we can set our calculated value for the slope of the line for the equation (v-4)/(-6) equal to 2, as shown below:
(v-4)/(-6) = 2
To solve this equation, we should multiply both sides of the equation by -6 to get rid of the denominator on the left side of the equation.
v-4 = -12
Next, we should add 4 to both sides of the equation to get the variable v alone on the left side of the equation, as shown below:
v = -8
Therefore, v =-8 is your answer.
Hope this helps!
By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>
How to get the measures of the other two sides of the right triangle?</h3>
Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
- sin(a) = (adjacent cathetus)/(hypotenuse).
- tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
- hypotenuse = AC
- opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
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The force needed to keep the cart at rest is 149.022 pounds
<h3>Force and Motion</h3>
Given Data
- Weight of cart = 200 pounds
The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have
Fy = Mg sin θ
Substituting our given data we have
Fy = 200 sin 40
Fy = 200 *0.74511
Fy = 149.022 pounds
Learn more about force here:
brainly.com/question/12970081
