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Dmitry_Shevchenko [17]
3 years ago
9

Help me ASAP please!

Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

∠1 and ∠3

∠6 and ∠8

∠5 and ∠7

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Leni [432]

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Step-by-step explanation:

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A design for party favors are in the shape of a regular hexagonal pyramid. The hexagon has a side length of 6 inches. The latera
Nookie1986 [14]

Answer:

Part 1) LA=108\sqrt{2}\ in^2

Part 2) B=54\sqrt{3}\ in^2

Step-by-step explanation:

Part 1) Find the lateral area of the pyramid

we know that

The lateral area of the pyramid, is equal to the area of six congruent isosceles triangles

so

LA=6[\frac{1}{2}(b)(h)]

we have

b=6\ in

Applying Pythagorean Theorem calculate the height of triangle

9^2=(6/2)^2+h^2

h^2=81-9\\h^2=72\\h=\sqrt{72}\ in

simplify

h=6\sqrt{2}\ in

Find the lateral area

LA=6[\frac{1}{2}(6)(6\sqrt{2})]\\\\LA=108\sqrt{2}\ in^2

Part 2) Find the base area

we know that

The area of a regular hexagon is equal to the area of six equilateral triangles

so

Applying the law of sines to calculate the area of triangle

B=6[\frac{1}{2}b^2sin(60^o)]

we have

b=6\ in

sin(60^o)=\frac{\sqrt{3}}{2}

substitute

B=6[\frac{1}{2}6^2(\frac{\sqrt{3}}{2})]

B=54\sqrt{3}\ in^2

3 0
4 years ago
Hey guys can y’all help I’m struggling
nataly862011 [7]

Answer: B

Step-by-step explanation:

7 0
3 years ago
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The steps for subtracting 907-728
schepotkina [342]
You take 907 and place it above the 728

907
-728

Always start with the ones side. (Right)

You cannot subtract 8 from 7, so you'll need to borrow from a number. Can you borrow from 0? No, because 0 equals to nothing. Can you borrow from 9?

Yes.

So, imagine taking 1 out of 9, and that leaves you with 8 because, well, 9 - 1 = 8.

Now the 0 has a 1, which makes it 10

Which means 10 is greater than 7, so you can borrow a 1 from there.

10 - 1 = 9 So you are left with 9 in the tens column.

10 + 7 = 17, which is greater than 8 so you can subtract that now.

17 - 8 = 9 (Ones column)

10 - 2 = 8 (Tens column)

8 - 7 = 1 (Hundreds column)

So, your answer is 189. Try it on a paper, or simply use a calculator.

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7 0
3 years ago
What is -3 1/9 + 2 3/9
laila [671]

Answer:

= -7/9

(Decimal: -0.777778)

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