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ExtremeBDS [4]
2 years ago
11

What is the length of Line segment B C? Round to the nearest tenth. Triangle A B C is shown. Angle B C A is a right angle and an

gle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x. 6.8 cm 7.5 cm 14.5 cm 17.7 cm
Mathematics
2 answers:
Arturiano [62]2 years ago
8 0

Answer:

14.5 =x

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opposite side/ hypotenuse

sin A = BC / AB

sin 65 = x /16

Multiply each side by 16

16 sin 65 =x

14.50092459 =x

14.5 =x

Drupady [299]2 years ago
4 0

Answer:

C on edge

Step-by-step explanation:

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Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele
Alina [70]

we know that

<u>1) If the line segment AB is parallel to the line segment DC</u>

then

m∠1=m∠D -------> by corresponding angles

<u>2) If the line segment AD is parallel to the line segment BC</u>

then

m∠3=m∠B -------> by corresponding angles

5 0
2 years ago
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Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of
skelet666 [1.2K]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

p, q, r, s

The average will be Sum of all numbers divided by count of numbers.

\dfrac{p+ q+ r+ s}4

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

\dfrac{p+ q+ r+ s}4

\dfrac{p+ q+ r+ s}4

Now, let us add all of them:

\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4  < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

8 0
2 years ago
PLEASE HELP
GrogVix [38]

Answer:

16 and -16

Step-by-step explanation:

3 0
2 years ago
Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?
wlad13 [49]

Answer:

B) 30

Step-by-step explanation:

Bill saves 60 dollars a month so first you have to find out how much he saves in a year

To find that you multiply 60 by 12 since there are 12 months in a year

60*12 = 720

Tom saves 750 in a year so you have to subtract 750 by 720 to know how much more tom saves

750 - 720 = 30

3 0
2 years ago
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Ted has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balance
slega [8]
Your question doesn't say what are the options, but we can make some reasoning.

The average daily balance method is based, obviously, on the <span>average daily balance, which is the average balance for every day of the billing cycle. Therefore, in order to calculate the average daily balance, you need to sum the balance of every day and then divide it by the days of the billing cycle.
In your case:
ADB = (9</span>×2030 + 21×1450) / 30 = 1624 $

Now, in order to calculate the interest, you should first calculate the daily rate, since APR is usually defined yearly, and therefore:
rate = 0.23 ÷ 365 = 0.00063 

Finally, the expression to calculate the interest could be:
interest = ADB × rate × days in the billing cycle
or else:
<span>interest = ADB × APR ÷ 365 × days in the billing cycle

In your case:
interest = 1624 </span>× 0.23 ÷ 365 × 30
             = 30.70 $
4 0
2 years ago
Read 2 more answers
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