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RUDIKE [14]
2 years ago
11

Whats the length in meters of CD?​

Mathematics
1 answer:
Gnesinka [82]2 years ago
6 0

Answer:

The length of DC in meters is  \frac{60}{13} ⇒ A

Step-by-step explanation:

In the circle O

∵ AB passing through O

∴ AB is a diameter

∵ D is on the circle

∴ ∠ADB is an inscribed angle subtended by arc AB

∵ Arc AB is half the circle

→ That means its measure is 180°

∴ m∠ADB = \frac{1}{2} × 180° = 90°

In ΔADB

∵ m∠ADB = 90°

∵ AD = 5 m

∵ BD = 12 m

→ By using Pythagorase Theorem

∵ (AB)² = (AD)² + (DB)²

∴ (AB)² = (5)² + (12)²

∴ (AB)² = 25 + 144 = 169

→ Take square root for both sides

∴ AB = 13 m

∵ ∠ADB is a right angle

∵ DC ⊥ AB

∴ DC × AB = AD × DB

→ Substitute the lengths of AB, AD, and DB

∵ DC × 13 = 5 × 12

∴ 13 DC = 60

→ Divide both sides by 13

∴ DC = \frac{60}{13} m

∴ The length of DC in meters is  \frac{60}{13}

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How can you know if this equation is true?<br> 1/3+1/5=2/8=1/4
m_a_m_a [10]

Answer: This statement isn't true.

Step-by-step explanation: By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.

5 0
3 years ago
A cell phone store sold 450 newly released cell phones in three hours. This was 30% of the number of cell phones sold that day.
Vitek1552 [10]

Answer:

we have 3 things here. 30% out of 100% of the 450 phones

In order to find the missing percent we multiply the 450 by 100 and divide its product by 30

The answer is 1500

Step-by-step explanation:


8 0
3 years ago
The square of a number is 12 less than 7 times the number. What is the number?
hjlf

<u><em>Answer:</em></u>

The number is either 3 or 4


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x


<u>We are given that:</u>

square of the number (x²) is 12 less than 7 times the number (7x)


<u>Translating this into an equation, we would have:</u>

x² = 7x - 12


<u>Rearranging the quadratic equation:</u>

x² - 7x + 12 = 0


<u>Now, we factor the equation:</u>

(x-4)(x-3) = 0


<u>This means that:</u>

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3


<u>Let's check if any of the solutions is an extrovert:</u>

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert


Since we have no restrictions on the number, therefore, both solutions would be accepted


Hope this helps :)


7 0
3 years ago
What is the solution to the equation? <br>1/7g=3/14 ​
Crazy boy [7]
Answer:

g = 21/4


Decimal form:

g = 5.25


Mixed Number:

5 1/4
6 0
2 years ago
Henrietta solved a rational equation. Her work is shown. How could she solve it in a simpler way?
RoseWind [281]

Henrietta solved a rational equation by multiplying both sides by 3x^{2}(x+2) .She did not find the least common multiple of the denominators .If she had find the least common denominator which is 3x(x+2) then the question can have been simplified in more simpler form.

Henrietta can have got rid of denominator and then use the distributive rule .

So the first option

A:She could use the least common multiple of the denominator is right

4 0
2 years ago
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