X/6 = 3x/4 i need an explanation on how you answer this
2 answers:
Answer:
Step-by-step explanation:
We can solve this equation using cross multiplication (multiply the numerator of one fraction by the denominator of the other and vice versa):
There is only one possible solution for x in which any number multiplied by x is equivalent...
(Any number multiplied by 0 is 0)
OR (algebraic way)
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Given:
The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.
To find:
The constant of proportionality
Solution:
We have,
...(i)
where P is the price and n is the number of bananas.
Price P is directly proportional to the number of bananas. So,
...(ii)
Where, k is the constant of proportionality.
On comparing (i) and (ii), we get
Therefore, the constant of proportionality is 0.25.
John's method to determine the width of the stream uses the knowledge
that the tangent of 60° is approximately 1.7.
The proper sequence John would use to find the width of the stream are;
- Step 1; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>
- Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>
- Step 3; <u>On the path John walks until he finds a </u><u>line </u><u>of sight to the tree that equals 60 degrees</u>
- Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>
- Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>
- Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.
Reasons:
The steps that can be used to measure the width of the stream are;
Step 1: Drive a stake opposite the tree on the other side of the stream.
Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.
Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.
Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.
Step 5; Measure the distance between the stakes that are placed in the ground.
Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.
<em>The possible question options are;</em>
<em>John measures the the distance between the two stakes</em>
<em>John uses a compass to walk away from the stakes at a right angle</em>
<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>
<em>John drives a second stake in the ground</em>
<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>
<em>John drives a stake opposite the tree to establish a line between two points.</em>
Learn more about trigonometric ratios here:
