Which term best describes a relationship in which is a multiple of the other quantity?
1 answer:
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Answer:
<u>135.73 ounces</u> of a silver alloy that costs $5.50 per ounce should be mixed.
Step-by-step explanation:
Given:
A silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 30 ounce alloy that costs $6.40 per ounce.
Now, to find the ounces of silver alloy.
Let the silver costs $5.50 per ounce be
And the silver costs $7.00 per ounce be
So, the total ounce make a new alloy:
....(1)
Now, the total costs of silver alloy:
Putting the value of from equation (1) in the place of
:
<em>Subtracting both sides by 210 we get:</em>
<em>Dividing both sides by -1.5 we get:</em>
Therefore, 135.73 ounces of a silver alloy that costs $5.50 per ounce should be mixed.
The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft
<h3>What are the correct elevation measurements?</h3>
From the image attached, we see that;
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.
Thus;
∠A + 48° = 180°
∠A = 180 - 48
∠A = 132°
From sum of angles in a triangle;
∠B + 33° + 132° = 180°
∠B = 180 - 165°
∠B = 15°
Using sine rule, we know that;
sin 33/C = sin B/20
Thus;
sin 33/C = sin 15/20
Solving for C gives;
C = 42.22
From trigonometric ratios, h/c = sin 48
h = 42.22 sin 48
h = 31.28 ft
Read more about elevations at; brainly.com/question/10254887
