Answer:
C. 469 in²
Step-by-step explanation:
The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.
In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.
The total surface area of the prism is then ...
(392 + 77) in² = 469 in²
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The area of a rectangle is the product of its length and width.
The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.
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<em>Comment on the geometry</em>
This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.
(1, 
) and (1, - )
Step-by-step explanation:
Step 1 :
The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)
The distance between these 2 points is the length of the given triangle
Distance between the 2 points is 
= sqrt (sq(4-(-2)) + sq(1-1)) = 6
Hence the given triangle has 3 equal side of length 6 unit.
Step 2:
The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C
We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)
Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle
Hence 
= 6
=> 9 + 1 + 
-2 y = 6
=> -2 y - 26 = 0
=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)
Hence the possible co ordinates of C are (1, ) and (1, - )
The equation that best represents the relationship between
the number of loaves of bread which is denoted by b and the number of cups of
bananas which is denoted by c is c = 2 1/4b.
We know that we need 11 ¼ cups of bananas is needed to make
5 loaves of bread.
We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼
represents how many cups is needed to make 1 loaf of bread.
Answer:
its D) x = -8 is correct
All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.
-Hops
Answer:
Uhh, I guess 24? I don't understand this question
