The first raise was a 25% increase, while the second raise was a 32% increase so there was a 7% increase from the first raise to the second one.
Answer: Any irrational number
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.
As an example of this we have
On the other hand, it is necessary to know the following:
-The multiplication of two rational numbers results in a rational number.
-The multiplication of a <u>rational number</u> by <u>any irrational number</u> results in an <u>irrational number.</u>
This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.
Therefore, the answer is: Any irrational number.
Answer:
1. When we reflect the shape I along X axis it will take the shape I in first quadrant, and then if we rotate the shape I by 90° clockwise, it will take the shape again in second quadrant . So we are not getting shape II. This Option is Incorrect.
2. Second Option is correct , because by reflecting the shape I across X axis and then by 90° counterclockwise rotation will take the Shape I in second quadrant ,where we are getting shape II.
3. a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin takes the shape I in fourth Quadrant. →→ Incorrect option.
4. This option is correct, because after reflecting the shape through Y axis ,and then rotating the shape through an angle of 90° in clockwise direction takes it in second quadrant.
5. A reflection of shape I across the x-axis followed by a 180° rotation about the origin takes the shape I in third quadrant.→→Incorrect option
Answer:
James is 58 and Tyson is 39 years old.
Step-by-step explanation:
x + y = 97
x - y = 19 +
--------------
2x = 116
x = 58
--------------
y = 97 - 58
y = 39
Answer:
Horizontal distance between lifeguard and the person is 22 feet.
Step-by-step explanation:
Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.
To find: Horizontal distance between lifeguard and the person.
Solution : If we draw a triangle then tan∅ = 
Here base is the horizontal distance.
Now we put the values in the formula.
tan 34° = 
Or Base = 
= 
So the answer is 22 feet.