Mathematics, 22.07.2019 12:30 Natalierg05

Pyramid abcde is a square pyramid. what is the lateral area of pyramid abcde ? 49√3 mm² 98√3 mm² 196√3 mm² 392√3 mm²

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Choice B, 98*sqrt(3)

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Explanation:

See the attached image. In that diagram, I'm focusing on triangle ABC which is one of the lateral sides. I've added h to the diagram which is the unknown slant height along the dashed line. I've also added point F which is directly under point A and also on segment BC.

Triangle AFC is a 30-60-90 triangle
Side FA = h is the unknown longer leg
The known shorter leg is FC = 7 since it is half of CB = 14

By using the 30-60-90 triangle template, we know that
longer leg = (shorter leg)*sqrt(3)
longer leg = 7*sqrt(3)
FA = 7*sqrt(3)
h = 7*sqrt(3)

Which means the area of triangle ABC is
area = (base*height)/2
area = (FC*FA)/2
area = (7*h)/2
area = (7*7*sqrt(3))/2
area = (49*sqrt(3))/2
that is the area of one triangle. But there are four of these triangles, so we multiply that result by 4

4*area = 4*(49*sqrt(3))/2 = 98*sqrt(3) which is the answer

note: the base is the square BCDE. The lateral sides are everything that isn't the base (so all of the triangles)

Pyramid abcde is a square pyramid. what is the lateral area of pyramid abcde ? 49√3 mm² 98√3 mm² 19

Pyramid abcde is a square pyramid. what is the lateral area of pyramid abcde ? 49√3 mm² 98√3 mm² 19

Answer from: Quest

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

Answer from: Quest

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

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Pyramid abcde is a square pyramid. what is the lateral area of pyramid abcde ? 49√3 mm² 98√3 mm² 19...