Answer:
1. Equivalent:
2. Not equivalent:
Step-by-step explanation:
Consider the expression
Use the distributive property
Then
Expression is equivalent to the expression
Since then expression is equivalent to the expression
All the rest expressions are not equivalent to the expression
50/360 = X/78.54
Cross multiply
360x/360 = 3927/360
Cross out the 360’s
X=10.91
The 4th plotting is the correct plotting shown by Joel's data.
The correct option is (D)
<h3>What is Number line?</h3>
Fraction on a number line is a visual mathematical representation of fractions. It is done by plotting the given fraction(s) on the number line where the section or the distance between two integers is divided into equal parts which are equal to the denominator of the given fraction.
The fourth figure is correct.
This is because the number should be arranged like 0 1.
The given data is: , 1, , , , 1
That means is repeated 2 times which is shown by 2 x's, 1 also repeated two times again represented by 2 x's and is represented by 1 'x'.
The above data is well represented in fourth figure.
Learn more about number line here:
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Answer:
A.
Step-by-step explanation:
0.25 is 25/100 and that can further simply to 1/4.
Answer:
11 feet
Step-by-step explanation:
This is a right triangle trig problem with a little geometric twist to it. The angle of depression. If we drew this triangle and the person at the top of it and then drew in a horizontal line from his line of vision, this line of vision is parallel with the ground. The hypotenuse (escalator, here) serves as the transversal cutting these parallel lines. That means that a lot of angle congruencies exist. The angle of depression is alternate interior with the base angle of the triangle (the angle that is NOT the right angle, that is) so that makes them congruent. Therefore, we have that base angle measuring 42.51 degrees (this is the reference angle) and the length of the hypotenuse. We are looking for the height of the triangle, which is also the side across from the reference angle. The trig ratio we need to solve this has to involve the reference angle, the hypotenuse, and the side across from the reference angle. That is the sin ratio. Setting up to solve for the side across from the angle:
Solving for y:
16 sin(42.51) = y
Do this on your calculator in degree mode to get that
y = 10.8 feet, or rounding, y = 11