How far does a sailboat travel on a 3.5 cruise it is avenge spent is 18.6 mph?

an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles

ikadub [295]

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

4 0

1 year ago

Which values of xwould make a polynomial equal to zero if the factors of the

MariettaO [177]

9514 1404 393

Answer:

C. -6 and -9

Step-by-step explanation:

For the polynomial to be zero, one or more of the factors must be zero. For the factors to be zero, we require ...

x +6 = 0

x = -6 . . . . . . subtract 6 from both sides of the equation

and likewise, ...

x +9 = 0

x = -9 . . . . . . subtract 9 from both sides of the equation

x = -6 or -9 will make the polynomial zero.

4 0

2 years ago

Evaluate the expression. - 4(2 - 5)2 + 82

Pavlova-9 [17]

Answer:

106

Step-by-step explanation:

Ok this question is a bit confusing but once you understand the concept you will be able to answer the question correctly

Always know that bracket is solved first once it is found in the question

So back to the question

-4(2-5)2+82

So let's get to work...

Bracket first

-4(-3)2+82

Multiply with the number at the front then followed by the one at the back

(+12)2+82

24+82

106

Therefore the final answer is 106

I believe you understand how we get the answer...just be careful when solving this kind of question... simple

7 0

3 years ago

You owe $1,000 on a credit card that has an interest rate of 27.99% and make only the minimum payment of $20 each month. Which a

mel-nik [20]

Answer: The credit card will paid off within 10 years, therefore the correct option is D.

Explanation:

Let the number of years in which the credit card will aid of be x.

It is given that amount owed on credit card is $1000 with interest rate 27.99%.

So the amount of interest is calculated as,

$1000\times \frac{27.99}{100} =\$27.9$

The total amount have to pay is,

$\$1000+\$279.9=\$1279.9$

The minimum payment is $20 each month.

$x=\frac{1279.9}{20}$

$x=63.995$

So, the credit card will paid of in 63.995 months. We know that 1 year =12 months.

$\frac{63.995}{12} =5.33$

Therefore, the will paid of in 5.33 years, s we can say that the credit card will paid off within 10 years, therefore the correct option is D.

7 0

3 years ago

Read 2 more answers

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:51 Use the data set to determine which statements are correct. Check all that apply. 35,

Nady [450]

Answer:

The true statements are:

The median is 38.5.
There is an outlier.
The lower quartile is 29.
The upper quartile is 70.
The interquartile range is 41.

Step-by-step explanation:

The given data are: 35, 41, 18, 75, 36, 21, 62, 29, 154, 70

Make the data in order from the least to the greatest

18 , 21 , 29 , 35 , 36 , 41 , 62 , 70 , 75 , 154

So, the median of the data = (36 + 41)/2 = 38.5

We can deduce that The number 154 represents an outlier because the difference between 154 and 75 is much greater than the difference between the other data

If we divided the data to two groups , they will be:

(18 , 21 , 29 , 35 , 36) , (41 , 62 , 70 , 75 , 154)

So, The lower quartile Q1 is the median of the first group = 29

And the upper quartile Q2 is the median of the second group = 70

And the interquartile range = Q2 - Q1 = 70 - 29 = 41

So, the true statements are:

The median is 38.5
There is an outlier
The lower quartile is 29
The upper quartile is 70
The interquartile range is 41.

7 0

3 years ago