Prove that the value of the expression: (125^2+25^2)(5^2-1) is divisible by 39
2 answers:
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notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format
so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)
thus (4)(0.50) + (x)(1.00) = (4+x)(0.60)
solve for "x"
The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>The value of x is calculated using the following sine trigonometry ratio
Make x the subject
This gives
Hence, the value of x is 11.8310
<h3>Question 2</h3>This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
