The center of a great circle is also the center of a small circle. true or false

Answers

Answer 1

Answer: 100% true!!!!!!!!!!!!!!!

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What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

Answers

in ax+by=c form
slope=-a/b

a paralel line has same slope
4x+y-2=0
4x+1y=2
slope=-4/1=-4

therefor the other line has to have a slopt of -4

y=mx+b
m=slope
b=y intercept
slope=-4
y=-4x+b
input a point tha we ar given (4,-3)
x=4
y=-3
-3=-4(4)+b
-3=-16+b
add 16
13=b
y=-4x+13
get to ax+by=c form
add 4y both sides
4x+y=13 is the euation

Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.a. Write an equation that can be used to find the number of swimming lessons that she paid for.
b. How many swimming lessons did she pay for?
c. At the time she has $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?

Answers

a.) Let x be the number of swimming lessons she had, then
402 - 15x = 237

b.) 15x = 402 - 237 = 165
x = 165/15 = 11
She had 11 swimming lessons

c.) Let the number of lesson she had be y, then 19y = 237
y = 237/19 = 12 lessons
She can pay for 12 lessons with her remaining $237.

A) Equation:

($402 - $237) ÷ $15 = y

B) Solution:

$402 - $236 = $165

$165 ÷ $15 = 11

Answer: 11 Swimming Lessons

C) Equation:

$237 ÷ $19 = 13

Answer: 13 Swimming Lessons

Your fuel expense for last year was $800.00. This year it was $960.00. What was your percent of increase? A. 20%
B. 18%
C. 15%
D. 23%

Answers

Your fuel expense last year is said to be 800 dollars. That's for your annual total. Now, this year, It increased to 960 dollars. Maybe the fuel gets price increased. Anyways, we need to solve for the percentage increased of your fuel price from last year to this year. => 960 dollars - 800 dollars = 160 dollars=> 160 dollars / 800 dollars = 0.2 => 0.2 * 100% = 20% is the increased of your fuel expense.

If you would like to know what was the percent of increase, you can calculate this using the following steps:

x% of $800.00 is $960.00
x% * 800 = 960
x/100 * 800 = 960
x * 8 = 960 /8
x = 960 / 8
x = 120%

120% - 100% = 20%

The correct result would be A. 20%.

One of the corners of a cube is sliced off. The resulting cross section will have a minimum of how many sides?

Answers

3, because you cut a corner, you cut through where 3 sides meet.

3 sides

Answer:

The resulting cross-section will have a minimum of three sides.

i.e. a triangle will be formed.

Step-by-step explanation:

Because on cutting a cube along the corner we will obtain a triangle and thus a triangle has three sides.

Hence, the resulting cross section will have minimum of three sides.

( Also we can obtain many other figures on slicing a cube in different ways.

If we slice a cube parallel to the base we will obtain a square.

when we will slice the cube to it's diagonal we will obtain a rectangle.

and in many other ways)

What do you add to get 24 and multiply to get 144

Answers

That would be 12.

12 + 12 = 24

12 x 12 = 144

For the following data distribution, find the value that best defines the central tendency of the distribution and characterize the distribution.{23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38}

Answers

To characterize the distribution, the data have to be put into a frequency distribution graph.

After graphing the data, the distribution is a bit skewed to the right although it could be considered symmetrical.
Here are the values that define the central tendency:
mean = 22.79
median = 23
mode = 23

The three are almost equal. So, the distribution can be classified as symmetrical.

Answer:

Step-by-step explanation:

The given data set is:

23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38

firstly arrange the given data set in ascending order, we have

1, 7, 12, 14, 17, 18, 18, 23, 23, 23, 23, 24, 27, 28, 29, 32, 33, 38, 43

Now, Mode is the observation point which occurs frequently in the given data set, thus

Mode=23

Mean is given as:

$Mean=(sum of observations)/(total no. of observations)$

$Mean=(433)/(19)=22.7$

$Mean$ ≈ $23$

Median of the given data set is the middle value of the given set, thus

Median=23

Hence, the value that would best describe the central tendency is 23. Since, the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.

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