The volume of the prism given its dimensions is equal to 160 cubic units.
<h3>What is the volume of the
prism?</h3>
The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.
- One of the prisms have the dimensions: 4 x 4 x 5.
Volume = 80
- The other prism has the dimensions: 8 x 2 x 5.
Volume = 80
Volume of the prism = 80 x 2 = 160 cubic units.
To learn more about rectangular prisms, please check: brainly.com/question/8890358
Answer:
Denote AH as height of triangle ABC, with H lies on BC.
Applying sine theorem:
AH/AC = sin 60
=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7
=> Area of triangle ABC is calculated by:
A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611
=> Option C is correct.
Hope this helps!
:)
360=95+120+120+125+x+84+x
360=544+2x
-184=2x
x= -92
Answer:
Area = 3,656.6 m²
Step-by-step explanation:
Area enclosed by the track is composed of two semicircles and a rectangle.
Area = area of two semicircles + area of rectangle
= 2(½*πr²) + L*W
Where,
radius of semicircle (r) = ½of 40 m = 20 m
Length of rectangle (L) = 60 m
Width of rectangle (W) = 40 m
Plug in the values
Area = 2(½*π*20²) + 60*40
Area = 400π + 2,400
Area = 3,656.6 m² (aooroximated to nearest tenth)
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
