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Serjik [45]
3 years ago
7

Based on the diagram, can point D be the centroid of triangle ACF? Explain.

Mathematics
2 answers:
madam [21]3 years ago
5 0
A centroid in a triangle, is the point where all the medians meet.

now a peculiar thing about the centroid is that, it cuts all medians in a 2:1 ratio.

so, if that's true, then the median AE, is being cut in two segments AD and DE and AD : DE are on a 2 : 1 ratio, are they?  let's check.

\bf \stackrel{median~AE}{AD+DE}\qquad AD:DE\implies \cfrac{AD}{DE}\implies \cfrac{12}{4}\implies \cfrac{3}{1}\implies 3:1 \ne 2:1
REY [17]3 years ago
5 0

Answer:

d

Step-by-step explanation:

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Kruka [31]

This question is incomplete.

Complete Question

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answer:

280 tons of wood.

Step-by-step explanation:

From the above question:

To make 1 ship = we require 40 tons of wood.

1 ship = can accommodate 300 sailors.

Step 1

If :

300 sailors = 1 ship

2100 sailors = y ships

Cross Multiply

300 × y ships = 1 ship × 2100 sailors

y ships = 2100 / 300

y ships = 7

Hence, 2100 sailors can occupy 7 ships.

Step 2

We are told in the question that:

Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

If:

1 ship = 40 tons of wood

Since 7 ships can accommodate 2100 sailors,

7 ships =

7 × 40 tons of wood = 280 tons of wood.

Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.

6 0
3 years ago
Worth 12 Points, i spent 24
rewona [7]

Answer:

  \displaystyle m^{\frac{35}{12}}n^{-\frac{28}{15}}=\frac{m^{\frac{35}{12}}}{n^{\frac{28}{15}}}

Step-by-step explanation:

The relevant rule of exponents is ...

  (a^b·c^d)^e = a^(be)·c^(de)

Then ...

  (m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)

  = m^(35/12)·n^(-28/15)

__

Since you want positive rational exponents, you can write this as ...

  = m^(35/12)/n^(28/15)

6 0
3 years ago
PlEASE HELP ME PLEASE​
Law Incorporation [45]

Answer:

THE 3RD ONE

Step-by-step explanation:

I THINK IM NOT REAALY SURE????

5 0
3 years ago
-3(x+2)=12. solve for x
bagirrra123 [75]

Steps to solve:

-3(x + 2) = 12

~Distributive Property

(-3 * x) + (-3 * 2) = 12

~Simplify

-3x - 6 = 12

~Add 6 to both sides

-3x - 6 + 6 = 12 + 6

~Simplify

-3x = 18

~Divide -3 to both sides

-3x/-3 = 18/-3

~Simplify

x = -6

Best of Luck!

8 0
3 years ago
Read 2 more answers
Helen had $12 but spent $3 of it. What per cent did she spend?
Bezzdna [24]

Answer:

25%

Step-by-step explanation:

Its basic division really. The easiest way to think of it is how many times can 3 fit into 12 three fits into 12 four times in fraction that's 1/4 or 1 over 4. Just like the quarter (United States quarter) each one is 25 cents and you need 4 of then to make 1 US dollar or 100% so each group of three is 25 percent. This under standing could work with a variety of numbers 5 is what percent of 20 or 7 is what percent of 28 if it comes in 4s each is 25%. Hope this helps.

4 0
3 years ago
Read 2 more answers
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