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kow [346]
1 year ago
8

Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 11 and side AC has a length of 14 wha

t is the length of side CD? Write your answer to the
nearest hundredth

Mathematics
1 answer:
nalin [4]1 year ago
4 0

Answer:

12.87

Step-by-step explanation:

Since we know that line CD is a perpendicular bisector, triangle ACD is a right triangle, and thus we can apply the Pythagorean theorem to determine the length of side CD. Since the Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the adjacent sides, we can plug in the values of side AD and AC.

As side CD is the bisector of side AB, sides AD and DB are both half the length of side AB, so:
AD = 11/2
AD = 5.5

We now know two values of our equation, and thus we can solve for the missing third value.

5.5^2 + b^2 = 14^2
14^2 - 5.5^2 = b^2
196 - 30.25 = b^2
165.75 = b^2
\sqrt{165.75} = b
b = 12.87

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What fraction does 4 triangles represent when 1 hexagon is worth 1 whole
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3 years ago
How many times larger is the 5 in 528, 394 as in 352, 107?
seraphim [82]

Answer: B 10 Times large

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7 0
2 years ago
Do you think it was moral for European nations to claim lands in the Americas that were already inhabited by natives? Why or why
TEA [102]

Answer:

It was immoral for European nations to claim land in the Americas that were already inhabited by natives. This is because some people were displaced and used as slaves.

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7 0
2 years ago
Solve the quadratic equation 6x2 + 1 = 5x. Show your work.
Artyom0805 [142]

Answer:

<h2>Factors = (3x - 1) (2x - 1)</h2><h2>values :- x = 1/3 , 1/2</h2>

Step-by-step explanation:

= > 6x^2 + 1 = 5x

• Bring it in the standard form,

= > 6x^2 - 5x + 1 = 0

= > 6x^2 - (3 + 2)x + 1 = 0

= > 6x^2 - 3x - 2x + 1 = 0

• Take out common

= > 3x (2x - 1) - 1 (2x - 1) = 0

= > (3x - 1) (2x - 1) = 0...factors

= > x = 1/3 and 1/2... values of x

<h2>Hope it helps you!! </h2>

7 0
2 years ago
An objects weight on Mars is 38% of its weight on Earth. If an object weighs p, pounds on Earth, write an expression for its wei
oksano4ka [1.4K]

0.38p

To get the percent of something, you turn the percent to a decimal and multiply it to the number.

Here, we want the expression to get 38% of p. So we turn 38% to 0.38 and multiply it to p. Since we don't know what p is, we have to leave it as 0.38p

The answer is 0.38p


Hope this helps!

3 0
3 years ago
Read 2 more answers
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