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eimsori [14]
4 years ago
12

Please help

Mathematics
2 answers:
mixas84 [53]4 years ago
8 0

Answer: 16

Step-by-step explanation:

law of cosines says that c^2 = a^2 + b^2 -2abcosC

so c^2 = 3^2 +15^2 - 2*2*15*cos108

c^2 = 234 -  (-27.8115294937 )

c^2 = 261.811529494

c = 16.18 rounds to 16

Ronch [10]4 years ago
3 0

Answer:

16

Step-by-step explanation:

c² = a² + b² - 2(a)(b)cos(C)

c² = 3² + 15² - 2(3)(15)cos(108)

c² = 261.8115295

c = 16.18059114

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

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= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0
3 years ago
Factorise 1-a^2 b^2​
DerKrebs [107]

Hi there.

Thanks for using Brainly!

First, let's rewrite to make this problem easier.

1^2 - a^2b^2

Then we must multiply the terms with equal exponents with their bases.

1^2-(ab)^2

Using the factor: a^2 - b^2=(a-b)(a+b)

We can factor using that expression.

(1-ab) x (1+ab)

After factoring, this has been our solution.

Solution: (1-ab) x (1+ab)

Thanks for using Brainly!

- Tutor John

7 0
3 years ago
Please help asap!!!<br> much appreciated
ioda

Answer:

I cannot give you a full answer because it's missing crucial information- the points on the graph. However, I can give you insight!

Suppose one point is (2,3), if you want to scale it by a factor of 3, you would simply multiply both variables by 3. So the new point would be (6,9).

If you want to scale (4,7) by factor of 2, you would multiply the 4 and the 7 with 2. The new point would be (8,14).

3 0
3 years ago
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