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Alex73 [517]
3 years ago
7

The picture is there​

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

Step-by-step explanation:

Because CB = 6 cm, we can find CD

Use Triangle CDB.

<BCD = <BCA - <ACD

<BCD = ?

<BCA = 90

<ACD = 60

<BCD = 90 - 60

<BCD = 30

Cos 30 = CD / CB

CD = Cos(30) * BC

CD = 5.196 cm

<A = 90 - ACD

<ACD = 60

<A = 90 - 60

<A = 30

Sin(<A) = CB / AB

AB = CB / sin(<A)

AB = 6 / 0.5

AB = 12

Area =1/2 CD * AB

Area = 1/2 * 5.196 * 12

Area = 31.18

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Factorize:<br>(2a - b)² - (a - 2b)²​
bagirrra123 [75]

Answer:

3(a - b)(a + b)

Step-by-step explanation:

Factorize: (2a - b)² - (a - 2b)²​

  • Different of Perfect a Square rule: a²​ - b²​ = (a + b)(a - b)

(2a - b)² - (a - 2b)²​ = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]

1. Distribute and Simplify:

Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)

Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)

We now have:

(3a - 3b)(a + b)

2. Factor out the Greatest Common Factor (3) from 3a - 3b:

(3a - 3b) → 3(a - b)

3. Add "(a + b)" back into your factored expression:

3(a - b)(a + b)

Hope this helps!

7 0
2 years ago
Read 2 more answers
A shelf takes 3 1 /2 ft. of lumber. How many shelves can be made from 24 1 /2
levacccp [35]
Answer is 7

hope it helps

24 1/2 = 24.5
3 1/2 = 3.5

24.5/3.5 = 7
3 0
3 years ago
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Describe the translation of the graph of y = x2 that results in the graph of y = (x - 3)2.
Ad libitum [116K]
Right 3 units is right out of the options given
6 0
4 years ago
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a rectangle has a length of 18 ft less than 7 times its width if the area of the rectangle is 405 square feet. what's the length
qwelly [4]

Answer:

i don't know um is there any multiple questions?

Step-by-step explanation:

8 0
3 years ago
A stack of 6 gift boxes is 12.36 inches high. What is<br> the height of 32 gift boxes?
Rom4ik [11]

Answer:

Step-by-step explanation:

Discussion

6 gift boxes are 12.36 inches high

32 gift box are x inches high

This is a proportion question. A proportion is made of 2 equal ratios. If you know 3 parts of the proportion, you can solve for the 4th,

6/32 = 12.36/x                Cross multiply

6x = 12.36 * 32               Combine the right.

6x = 395.52                    Divide by 6

6x/6 = 395.52/6

x = 65.92

Answer: 65.92

Note

Using a proportion saves you the trouble of finding 1 box and multiplying whatever number you get by 32

3 0
2 years ago
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