3:5 ratio mean there are 8 "parts" (3 + 5 = 8)
The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction.
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.
Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8
So the point I is (0, 25/8)
I aussume the figure is a square and the line √288 is creating 45° angles.
a² + b² = c² a² = b²
2a² = 288
a² = 144
a = 12
Every side is 12in
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
<u>Since this is an isosceles triangle, the base angles must be the same. Hence, </u><u>x = 66°.</u>
<u>Since we have found x, we can find y by using the 180-angle method.</u>
- => y + 66 + 66 = 180
- => y + 132 = 180
- => y = 180 - 132
- => y = 48°
<h3><u>Conclusion:</u></h3>
Therefore, the answers are:
Hoped this helped.
Answer:
8. 504ft²
9. 4970yd² (rounded to 3 s.f.)
Formulas (For easy reference):
Area of rectangle = length × breadth
Area of circle = pi×r×r
Circumference of circle = pi×r×2
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Step-by-step explanation:
8. You know a box has 6 sides, and there are 3 types of surfaces that are different from each other, and you have to multiply each side by 2 cus there are the front and backside (You can draw the box with its dimensions to see the 3 types of surfaces and why I multiplied by 2):
(2×12×6) + (2×12×10) + (2×6×10) = 144 + 240 + 120
= 504ft²
9. The net of a cylinder contains two circles of radius 24yd and one long sheet to wrap around the circles with the length that is the circumference of the circle (so that it can wrap around the two circles) and a width which is the height of the cylinder (9yd).
2 Circles = 2×pi×24×24
= 1152pi
Long sheet = 9×24×2×pi
= 432pi
Now we can add all of them together:
432pi+1152pi = 1584pi
= 4970yd² (rounded to 3 s.f.)
