Answer:
look at the pictures
Step-by-step explanation:
Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B = 
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,




sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°
The answer is he needs 7.5 pizzas but you can’t do that so you round up to 8 pizzas
Answer:
Volume: x(x+6)(x+2) Area:
+ 8x +12
Step-by-step explanation:
Volume Explanation:
To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)=
+ 8
+ 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.
Area:
To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)=
to get a final answer of
. This will be the formula when you find the area of the 2D figure in question.
Answer:
Triangular Prism
Step-by-step explanation:
Given
The sketch in the attached diagram
Required
Determine the shape it represents
Analyzing the options 1 after the other
Triangular Prism:
This has 5 sides; 2 of which are triangles while the other are rectangles
Rectangular Prism
This, in other words represents a cuboid
Triangular Pyramid
This has 4 sides, all of which are triangles
Rectangular Pyramid
This has 5 sides; 4 of which are triangles while the last is a square of rectangle.
From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing