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Oksana_A [137]
3 years ago
8

Two regular hexagons have sides in the ratio 3:5. The area of the smaller hexagon is 81 m2. What is the area of the larger hexag

on
Mathematics
1 answer:
Aliun [14]3 years ago
4 0
If the sides are in the ratio of 5:3 then the area will increase by a factor of:(5 / 3) ^2
(5 / 3)^2 = <span> <span> <span> 2.777777777 </span> </span> </span>
Area of small hexagon = 81
Area of larger hexagon = 81 * 2.777777777
Area of larger hexagon = 225 square meters

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Find the value of x using the diagram below. Round to the nearest whole number. Picture Attached.
VashaNatasha [74]
Both triangles are right triangles. x is the hypotenuse of the upper one. ThePythagorean formula  will give the value of x. One side is known, The other side we will find using the fact that the lower right triangle is isosceles. The hypotenuse of an isosceles right triangle has a length of \sqrt{2} times the length of one of the legs. In this case 14. So the hypotenuse of the lower triangle is also the short side of the upper triangle. Using Pythagoras

25^{2} +  (14 \sqrt{2}) ^{2} = x^{2}

625 + 392 =  x^{2}

 1017 =  x^{2}

32 = x

4 0
3 years ago
Read 2 more answers
What is the lcm of 8,12,3
kramer

Answer: 24

Step-by-step explanation:

Lowest common multiple means the lowest number that can be divisible by 8,12,3

Looking at this, let's pick 8&3 first

8×3=24

12×3=36

12×8=96

Looking at this value,24 seems to be the lowest,

Therefore the lowest common multiple is 24

5 0
3 years ago
What does -3x + 7 + -6x t 9 equal
liberstina [14]

Answer:

-50x

Step-by-step explanation:

-6x times 9 which is -54x

-54x-3x = -57x

-54x+7

8 0
4 years ago
A minor league baseball team plays 101 games in a season. If the team won 14 more than twice as many games as they lost, how man
vagabundo [1.1K]
A minor league plays 101 games,
They win 14 more than twice as many as they lost.
How many wins and loses?

Okay, simple.
First, write a simple addition equation. In this case wins = w and losses = l.
l + w = 101.

Now, we have to figure out a way to make one of the terms the same term as the other, in this case we can change the terms of w to l.
l = l
w = 2l +14 (14 more than twice the amount)

Okay. So plug in the new amount for w.
l + 2l + 14 = 101. Great! we now have a simple equation. lets solve.
put similar terms together.
3l + 14 = 101
3l = 87
l = 29
So, we have 29 loses, and
w = 2(29) + 14
72 wins!
To check,
72 + 29 = 101, correct!

Hope this helps!

7 0
3 years ago
in 2001, the population in a town was 12% more than it was in 2000. if the population was 25,160 in 2002, which is 10% more than
blagie [28]
2002=25,160
2001=22,644
2000=19,926.72 (need to round to 19,926)
2001:
25,160/10=2516
25,160-2516

2000:
22,644/10=2,264.4 (10%)
2,264.4/5=452.88 (2%)
2,264.4+452.88=2717.28 (12%)
22,644-2717.28=19.926.72
3 0
3 years ago
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