The__of an angle is the ratio of the opposite leg length to the hypotenuse length

Mathematics

2 answers:

aliina [53]3 years ago

8 0

Answer:

Sine

Step-by-step explanation:

As per the trigonometric ratios "sine" of any angle is the ratio of the side which is exactly opposite to the angle and the hypotenuse.

The formula is

$\sin\theta=\dfrac{\text{Opposite}}{\text{Hypotenuse}}\\$

The hypotenuse is the longest side in any right triangle. The side containing the angle is called the base. The side which is opposite to the angle is called the perpendicular. So basically it is " Sine" of any angle is ration of "perpendicular " to the "Hypotenuse"

tiny-mole [99]3 years ago

6 0

SOHCAHTOA

Opposite leg divided by hypotenuse is sin

Answer: sin

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A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split

Ber [7]

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

<h3>What is division?</h3>

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5$

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5$