I think it would be 12.207… use the Pythagorean theorem (a^2+b^2=c^2) so 10^2+7^2
100+49=149
Then take square root of 149 to undo the the squaring of c and it should be around 12.207 :)
Well 404 dollars subtract 100 for member ship and have 304 then divide 304 divided by 38 and you get 8 months plug it in and bam 8 is c which makes sesne when checking your answer
The value of x is the variable of the number it is closer to
Answer:
If 32 students are enrolled in the course, there would be 24 girls.
Step-by-step explanation:
Given that For every boy in an advanced math course there are 3 girls who are taking the course.
It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.
Given that there are 32 students enrolled in the course.
so
75% of 32 = 75/100 × 32
= 24
Thus, if 32 students are enrolled in the course, there would be 24 girls.
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
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<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
