Multiply the numerator and denominator by the same number.<span> Two fractions that are different but equivalent have, by definition, numerators and denominators that are multiples of each other. In other words, multiplying the numerator and denominator of a </span>fraction<span> by the same number will produce an equivalent fraction. Though the numbers in the new fraction will be different, the fractions will have the same value.</span><span>For instance, if we take the fraction 4/8 and multiply both the numerator and denominator by 2, we get (4×2)/(8×2) = 8/16. These two fractions are equivalent.(4×2)/(8×2) is essentially the same as 4/8 × 2/2 Remember that when multiplying two fractions, we multiply across, meaning numerator to numerator and denominator to denominator.Notice that 2/2 equals 1 when you carry out the division. Thus, it's easy to see why 4/8 and 8/16 are equivalent since multiplying 4/8 × (2/2) = 4/8 still. The same way it’s fair to say that 4/8 = 8/16.<span>Any given fraction has an infinite number of equivalent fractions. You can multiply the numerator and denominator by any whole number, no matter how large or small to obtain an equivalent fraction.</span></span>
Answer:
Option B
Step-by-step explanation:
Given that cosθ = 
Since, θ is an angle in quadrant II therefore, cosine value is negative
Now we will find the tangent ratio from the given triangle.
tanθ = 
From the given triangle,
By applying Pythagoras theorem in the given right triangle,
AC² = AB² + BC²
AB² = 10² - 3²
= 100 - 9
= 91
AB = √91
tanθ = 
Now, tanθ = 
Since, θ is in second quadrant therefore, tangent of the angle will be negative.
tanθ = 
Option B is the answer.
Answer:
The cost for camping is 266 pounds
The cost for camping per night is 14 pounds
The cost for camping at the second campsite would be 114 pounds more than the first one.
Per night that is 6 pounds more if you needed that.
Answer:
Option 1
Similar triangles have proportional sides.
This means that the sides of ΔABC must have the same ratio to the sides of ΔSTR, ΔLKJ, or ΔDEF.
The base angle of ΔABC is 6 and therefore the base angle of the similar triangle should be divisible by 6. This leaves ΔSTR out
Continue the process with the other sides:
side BC is 4 units meaning the corresponding side of either ΔDEF or ΔLJK with have to be divisible by 4. in JKL the corresponding side KL is 9 units and not divisible by 4. Therefore, DEF is the correct answer since its corresponding sides are proportional
Step-by-step explanation:
Using the definition of individual in a study, it is found that they are represented in the student column.
<h3>Who is the individual in a study?</h3>
It is the subject over which the study is applied, that is, the people, or the objects, that are surveyed.
In this problem, the students are surveyed to find the top vote-getter, hence the individuals are represented in the student column.
More can be learned about the definition of individual in a study at brainly.com/question/24830485
