What method is best to solve each equation?
1 answer:
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Answer:
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.
If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:
→
In this case, the vertices of the triangle JKL (the Pre-Image) are:
Knowing that the scale factor is:
You get that the vertices of the triangle J'K'L' (Image), are:
This question is incomplete because it lacks the diagram of the right angled triangle. Find attached to this answer the diagram of the right angle triangle.
Answer:
d-50
Step-by-step explanation:
Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. The trigonometric function to be used is the cosine function.
From the diagram, we are given
Hypotenuse = AB = 14
Adjacent = AC = 9
The measure of angle A to the nearest degree is calculated as:
cos θ = Adjacent / Hypothenuse
cos θ = 9/14
θ = cos -¹ (9/14) or arccos(9/14)
θ = 49.994799115°
To the nearest degree = 50°
Therefore,the measure of angle A to the nearest degree = 50°
Answer:
Nina would have total expenses and sales $156 after selling 4 necklaces.
Step-by-step explanation:
Let <em>x</em> represent the amount of necklaces made and sold.
The initial cost was $140 and it costs $4 to produce one necklace. Hence, the total cost after producing <em>x</em> necklaces can be represented as:
Each necklace sells for $39. Hence, the total profit after selling <em>x</em> necklaces can be represented as:
To break even, the total cost and profit must be equivalent. Hence:
Solve for <em>x: </em>
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Hence, the break even, Nina would need to sell four necklaces.
And the total expenses/profit would be:
In conclusion, Nina would have total expenses and sales $156 after selling 4 necklaces.