MATHEMATICS HIGH SCHOOL

The area of a regular decagon is 42 CM. what is the area of a regular decagon with sides 8 times as long?? Plz explain your answer!!!
Choices area 2688,336,3360,672

Answers

Answer 1
Answer: 336 because 42 times 8

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Find the missing value of a triangle one leg is 12 and the long side is 20 what is the other leg?

Answers

Simple,

using the Pythagorean Theorem...

a^(2) + b^(2) = c^(2)

You have the hypotenuse (C) and one of the legs (A)

So, plug in what you know...

12^(2)+ b^(2) = 20^(2)

144+b^(2)=400

Now,isolate b^(2)

144+ b^(2) =400
-144                   -144

Leaving you with...

b^(2) =256

So, now, √(256), to find what b is..

b=16

Thus, your answer.
IF this is a 'right' triangle, then we can calculate an answer.
If it's NOT a right triangle, then no answer is possible.

I'm going to assume that it's a right triangle, because you did say
that one 'leg' is 12, and you want the length of the other 'leg'.   It's
common to refer to the two short sides of a right triangle as 'legs'.

In "Tales of Pythagoras", we learned that in a right triangle ...

                                            (Longest side)² = (one leg)²  +  (the other leg)²

In your triangle ...

                                               (20)²              =  (12)²  +  (the other leg)²

                                              (400)               =  (144) +  (the other leg)²

Subtract 144 from each side:  (The other leg)²  =  (400 - 144) = 256

                                             The other leg     =   √256  =  16 . 

Can you help ? me solve this question ?

Answers

Answer:

x {222}^(2)

An air conditioning repair services charges $85.00 per hour, plus a diagnosis fee of $75.00. If the repair costs a total of $385.00, which of the following equations best represents the situation?

Answers

Answer:

you have to put in the answers.

Answer:

$385.00 = $85.00 * 3.647 + $75.00

Step-by-step explanation:

The equation that best represents the situation is:

Total Cost = Hourly Rate x Repair Time + Diagnosis Fee

In this case, the hourly rate is $85.00 and the diagnosis fee is $75.00. We are given that the total cost is $385.00. Let's represent the repair time as "t" in hours.

So, we can write the equation as:

$385.00 = $85.00 * t + $75.00

To solve for the repair time "t", we need to isolate the variable.

First, we subtract $75.00 from both sides of the equation:

$385.00 - $75.00 = $85.00 * t

Simplifying, we get:

$310.00 = $85.00 * t

Next, we divide both sides of the equation by $85.00 to solve for "t":

$310.00 / $85.00 = t

Using a calculator, we find that t is approximately 3.647, which means the repair time is approximately 3.647 hours.

Therefore, the equation that best represents the situation is:

$385.00 = $85.00 * 3.647 + $75.00

Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, Area of ABCD

Answers

1. Consider right triangle ABK. In this triangle AB is the hypotenuse, BK and AK are legs. By the Pythagorean theorem,

AB^2=AK^2+BK^2,\n\n6^2=3^2+BK^2,\n\nBK^2=36-9=27,\n\nBK=3√(3)\ un.

2. Use the definition of \cos \angle A:

\cos \angle A=\frac{\text{adjacent leg}}{\text{hypotenuse}}=(AK)/(AB)=(3)/(6)=(1)/(2).

Then m\angle A=60^(\circ).

3. Consider right triangle ABD. In this triangle AD is the hypotenuse, AB and BD are legs. Since  m\angle A=60^(\circ), then

m\angle BDA=180^(\circ)-90^(\circ)-60^(\circ)=30^(\circ).

The leg that is opposite to the angle of 30° is half of the hypotenuse, so

AD=2AB=12\ un.

4. The area of parallelogram aBCD is

A_(ABCD)=AD\cdot BK=12\cdot 3√(3)=36√(3)\ sq. un.

Suppose both the mean and median of a distribution are 6. Which of these statement is true about the mode of the distribution? A. The mode is equal to 6. B. The mode is greater than 6. C. The mode is less than 6. D. There is not enough information to compare the mode.

Answers

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Mean of a distribution = 6

Median of a distribution = 6

As we know the relation between Mean, Median and Mode that is given by

3\ Median-2\ Mean=Mode

We put the values of Mean and Median in the above relation :

3* 6-2* 6=Mode\n\n18-12=Mode\n\n6=Mode

Hence, the mode is equal to 6.

Therefore, Option 'A' is correct.
there is not enough information to compare the mode. d

Which expression would represent the cost of one CD, if the total cost for three of them is $36?36-3
3(36)
36/3
3+36​

Answers

Answer:

C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are

Answer:C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are
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