Evaluate 36 to the three halves power
1 answer:
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Given:
Total number of students at Colfax Middle School = 270
Ratio of boys to girls is 5:4.
Total number of students at Winthrop Middle School = 180
Ratio of boys to girls is 4:5.
The two schools hold a dance and all students from both schools attend.
To find:
The fraction of the students at the dance are girls
Solution:
There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.
Number of boys
Number of girls
There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.
Number of boys
Number of girls
Now,
Total number of students in both schools
Total number of girls in both schools
The fraction of the students at the dance are girls is
Therefore, the required fraction is .
Answer:
Inequalities are,
y ≥ 4x + 2
y ≥ 2
Step-by-step explanation:
Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).
Let the equation of this line is,
y = mx + b
Slope of the line =
m =
m = 4
Y-intercept 'b' = -2
Equation of the line will be,
y = 4x - 2
Since shaded area is on the left side of this solid line so the inequality representing this region will be,
y ≥ 4x - 2
Another line is a solid blue line parallel to the x-axis.
Shaded region (blue) above the line will be represented by,
y ≥ 2
Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.
Option C: is the surface area of the prism
Explanation:
Given figure is a triangular prism.
We need to determine the surface area of the triangular prism.
The formula to find the surface area of the triangular prism is given by
where b is the base of the triangle,
h is the height of the triangle,
are the three sides of the triangle and
H is the height of the prism.
Let us substitute the values ,
,
,
,
and
in the formula, we get,
Simplifying, we get,
Multiplying the term, we get,
Adding the terms, we have,
Thus, the surface area of the prism is
Hence, Option C is the correct answer.