The complete question is
<span>
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.</span><span>
If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?the picture in the attached figure
</span>
we know that
surface area of the figure=surface area of cube+surface area of triangular prism
surface area of cube=4*a²----> 4*2²-----> 16 ft²
surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
surface area of triangular prism=5.6+2----> 7.6 ft²
surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²
the answer is23.6 ft²
Answer:
(1,9)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given is the absolute value function.
<u>Observations:</u>
- It has a slope of ±√3 and the y- intercept of 2.
- There is no horizontal shift, so the the y-axis is the line of symmetry.
- The y-axis is also an angle bisector of the two lines.
- The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.
We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
<u>The angle YAP₂ is:</u>
<u>The distance AY is:</u>
- AY = AP₂ cos 30° = 5*√3/2
<u>The distance from the x-axis to the point Y is:</u>
- 5√3/2 + 2, added the y- intercept of the graphed lines
<u>The coordinates of the point Y:</u>