Answer:
1/3
Step-by-step explanation:
The probability of a student winning is 1/4.
The probability of a prize being selected is 1/3.
The probability of Gail winning a scarf is 1/4 × 1/3 = 1/12.
The probability of Simon winning is 1/4.
The probability of either is 1/12 + 1/4 = 1/3.
Below are the choices that can be found from other sources:
A. 42
<span>B. 45 </span>
<span>C. 47 </span>
<span>D. 48 </span>
<span>E. 49
</span>
The answer is C or 47. The object’s resultant angle of motion with the +x-axis after the collision is 47. The reason for that is f<span>rom object A’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second, we know that tan of the angle from the x-axis is 6.2 / 5.7 = 1.09 and acrtan 1.09 = 47.4</span>
<h2>
Explanation:</h2><h2 />
In this exercise, we know some facts:
- Lin read for x minutes.
- Elena read for more than that.
The problem tells us nothing about the number of minutes Elena read more than Lin. However, let's say Elena read one-third more than the number of minutes Lin read. Therefore:
<u>For Lin:</u>
<u>For Elena:</u>
Answer:
w⁴+5w³+17w²+24w +18
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = w²+3w+9
width = w²+2w+2
Area of the rectangle = (w²+3w+9)(w²+2w+2)
Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)
Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18
Collect the like terms;
Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18
Area of the rectangle = w⁴+5w³+17w²+24w +18
Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18
Recall that:
sin(A + B) = sinAcosB + cosAsinB
Therefore:
sin11°cos19° + cos11°sin19° = sin(11° + 19°)
= sin30° = 0.5
I hope this explains it.
