what is the difference and similarity between a pentagonal prism and a pentagonal pyramid?

Answers

Answer 1

Answer: Similarity: both of them are solid. Difference: prisms have planes that are parallel to each other whereas pyramids do not have planes that are parallel to each other.

Answer 2

Answer: DIFFERENCE:A PYRAMID COMES UP AT A POINT BUT A PRISM DOES NOT.
SIMILARITY:THEY BOTH HAVE ATLEAST 1 PENTAGON IN THEM

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A line has a slope of 2/3 and a y-intercept of −5.Which equations represent the line?

Choose all answers that are correct.

A.-2x + 3y = -15

B.y= 2/3x - 5

C.6y = 4x - 30

D.(y + 3) = 2/3 (x - 3)

Answers

B because there is no number for y and it's already in slope intercept form so the 2/3 is the slope and -5 is the y intercept y=2/3-5 which is B

Theo buys 5 packages of paper there are 500 sheets of paper in each package how many sheets of paper did theo buy????????

Answers

2,500 pieces of paper. Just multiply 5x500.

If there are 500 sheets of paper and there are 5 packages then you multiply 500 and 5 and get 2500

graces monthly sales totaled $1000. she earns $2000 plus 9% of her sales. what is her total paycheck for this month?

Answers

so 2000+9% of sales
percent means parts out of 100 so 9%=9/100=0.09
'of' means multiply
sale=1000
9% of sales=0.09 times 1000=90
so paychhec=2000+90=$2090

This math has letters.

Answers

Maybe is an equation, they are like "2x-5=34"

If it so, then the way to resolve it would be adding the five (if the symbol is a minus) in both sides ( under the five and under the 34, then eliminate the "-5" and is going to be "2x=38") Then divide 2 in both sides (2/2 and 38/2) and is going to be (x=19)

BUT if it's not the type of question you are referring about then idk how to help you because i don't have any details (?)

Idrives 125 miles in 2 1/2 hours .At this same rate,how far will he be able to travel in 6 hours

Answers

300 miles. 125miles/2.5hr = 50mph

50miles X 6hours = 300miles

125 = x
2.5 6

750 = 2.5x

x = 300 miles

a meter stick casts a shadow 1.4 m long at the same time a flagpole casts a shadow 7.7 m long. The triangle formed by the meterstick and its shadow is similar to the triangle formed by the flagpole and its shadow. How tall is the flaglole?

Answers

Answer:

5.5 m

Step-by-step explanation:

Let x be the length of flagpole.

Length of stick=1 m

Length of shadow of stick=1.4 m

Length of shadow of flagpole=7.7 m

According to question

When triangles are similar then their ratio of corresponding sides are equal.

$(1)/(1.4)=(x)/(7.7)$

$x=(7.7)/(1.4)$

$x=(77)/(14)$

$x=(11)/(2)=5.5$

Hence, the length of flagpole=5.5 m

So a meter stick is just one meter right? Everything else is measured in meters as well. The meter stick's shadow, the flagpole's shadow, they are all in meters. I don't know if they've taught you how to solve for x or not but you are pretty much solving for x. The flagpole, (the measure that you are trying to find) is the x.
So your problem kind of looks like this:
1/1.4=x/7.7
Again, I don't know if this will help or not but if it does, than yippie! :)

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