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castortr0y [4]
3 years ago
7

Find ad please help aghhhh due today

Mathematics
2 answers:
Rudiy273 years ago
8 0
<h2><u>Question :-</u></h2>

Find AD.

\sf a. \:  2\sqrt{3}  \: m

\sf b. \: 3 \sqrt{3}  \: m

\sf c. \: 6 \: m

\sf d. \: 6 \sqrt{3}

____________________

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • ∠DCB = 30°
  • ∠BDC = 90°
  • ∠ABC = 90°
  • BC = 12 m

<h3><u>To Find :-</u></h3>

  • The Length of AD

<h3><u>Calculation :-</u></h3>

Here, Sin θ is 30°

Sin = \bf \frac{perpendicular}{hypotenuse}

Here, θ is 30°

<em><u>Substituting the values, We get, </u></em>

∴ Sin ( 30 ) = \sf \frac{AD}{BC}

<em><u>Substituting the value of BC as 12, We get, </u></em>

⇒ Sin ( 30 ) = \sf \frac{AD}{12}

<em><u>Transposing 12 to Left Hand Side, We get, </u></em>

⇒ Sin ( 30 ) × 12 = AD

<em><u>Calculating further, We get, </u></em>

⇒ AD = 6 m

∴ AD = 6 m

<h3>____________________</h3>

<h2><u>Final Answer :-</u></h2>

The Length of AD is 6 m

<h3>____________________</h3>
Dominik [7]3 years ago
6 0

Answer:

AD = 6m

Step-by-step explanation:

Sin(30) = AD / 12

Sin(30) * 12 = AD

6 = AD

Hope this helps!

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Step-by-step explanation:

4y^2-7y=15

4y^2 - 7y -15

(y-3)(4y+5)

8 0
4 years ago
Kenneth loaned $1,200 to his niece to buy a computer. Two years later, she paid him back the $1,200 along with an interest of $9
insens350 [35]

Answer:

<u>The  annual interest rate was 4%</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

1,296 = 1,200 * (1 + x)

1.296/1.200 = (1 + x) (Dividing by 1,200 at both sides)

1.08 = 1 + x

1.08 - 1 = x (Subtracting 1 at both sides)

<u>0.08 = x</u>

This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

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7 0
3 years ago
Suppose that 18 inches of wire costs 72 cents.
NeX [460]

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

<em>c = 164</em>

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

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Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

<em>164 cents</em>

7 0
3 years ago
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Liono4ka [1.6K]

Answer:

2/9

Step-by-step explanation:

Simplify 80°/360°

4 0
3 years ago
Read 2 more answers
Can someone help me find x.
Harman [31]

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

8 0
3 years ago
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