Answer: 1300 cm^3, 850 cm^2
Step-by-step explanation:
With a triangular prism, you need to calculate the surface area of the triangle first and then the length. Here's how to solve for the volume (A):
Triangles is b*h/2, plug in the equation
10*13/2
130/2
65
Now use the length of the rest of the shape, which is 20 cm.
65*20=1300
the volume is 1300 cm^3.
for B, finding the surface area requires you to analyze each individual part of the shape.
Each part colored in represents a different shape:
Red:
10*20=200
Blue:
13*10/2=65
65*2=130 (Two triangles)
Green:
13*20=260
260*2=520 (Two rectangles)
Add them all up together.
200+130+520= 850 cm^2
Answer:
= 0.419
Step-by-step explanation:
in pic
(Hope this helps can I please have brainlist (crown)☺️)
Answer:
Line A
Step-by-step explanation:
Line A has a constant of proportionality (slope) of 4.
I'm going to use the slope formula which is
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points the line goes through
Slope of line PQ
m = (y2 - y1)/(x2 - x1)
m = (-6 - 8)/(-5 - (-7))
m = (-6 - 8)/(-5 + 7)
m = (-14)/(2)
m = -7
The slope of line PQ is -7
Slope of RS
m = (y2 - y1)/(x2 - x1)
m = (0 - (-5))/(-2 - 3)
m = (0 + 5)/(-2 - 3)
m = (5)/(-5)
m = -1
The slope of line RS is -1
Because the slopes are NOT equal (one is -7 and the other is -1), this means the lines are NOT parallel.
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Answer: Choice B) No, the lines have unequal slopes
Correction:
I think the question should be like that find the approximate value of
P(-0.78 < z < 1.16)?
Now,
the symbol Ф represent the cumulative density.
first find the
Ф(1.16) from the above given table which is equal to 0.8770.
Now,
find the Ф(-0.78) .
in our table we are given the value of Ф(0.78)=0.7823
so as the curve is symmetrical Ф(-0.78)=1-0.7823=0.2177
P(-0.78 < z < 1.16) = Ф(1.16)-Ф(-0.78)
= 0.8770-0.2177
= 0.6593
