300
divide 3000 by 10 to get a tenth of 3000
Answer:
x = 12
Step-by-step explanation:
Vertical angles are congruent, so ...
4x = 48°
x = 12° . . . . . . divide by 4
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
Number of boys enrolled is 105
<em><u>Solution:</u></em>
Given that, At a local preschool there is s as ratio of 3 boys to every 4 girls
There are 245 total preschoolers
Ratio of boys and girls = 3 : 4
Number of boys : number of girls = 3 : 4
Let the number of boys be 3x
Let the number of girls be 4x
Total number of preschoolers = 245
Therefore,
number of boys + number of girls = 245
3x + 4x = 245
7x = 245
x = 35
Number of boys = 3x = 3(35) = 105
Thus number of boys is 105