MATHEMATICS HIGH SCHOOL

What is the area of the parallelogram?A.
48 square centimeters

B.
28 square centimeters

C.
12 square centimeters

D.
24 square centimeters
What is the area of the parallelogram? A. 48 square - 1

Answers

Answer 1
Answer: The area of the parallelogram would be A) 48 Square centimeters because when you are finding the area of parallelogram then you do B*H so the base in this parallelogram is 8 and the height in this parallelogram is 4 and so then you multiply 8 and 4 so 8*4=48...so the answer would be A) 48 Square Centimeters....hope it helped

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is one side of a rectangular fish tank best represented by a point , line , plane , or ray ? A ) line B ) point C ) ray D ) plane

Answers

Answer:

D) Plane

Step-by-step explanation:

A rectangular prism is a six sided figures.  Each side is represented by a plane.

Each side has two measures, length and width. So it is presented by a plane.

Therefore, the answer is D) Plane
i believe its a plane

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the weights in pounds of 1111 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league? 186 229 240 257 187 221 309 293 257 274 221

Answers

Answer:

(a) Mean =243.0909

(b) Median = 240

In other words it is the middle value of the data arranged in order.

(c) Mode =  221  and 257

(d) Mid Range =   247.5

e)

Variance = 1578.5037

Standard Deviation = 39.730

Range = 309-186= 123

(e)  No the results are not  likely to be representative of all players in that​ sport's league because they are not similar.

Step-by-step explanation:

First arranging the data in ascending order

186 187 221 221 229 240 257 257  274  293    309

(a) Mean = Sum of observations/ No of observations

       = 186 + 187 + 221 +221 + 229 + 240 + 257 + 257 + 274 + 293 + 309 /11

= 2674/11=

= 243.0909

(b) Median for un grouped data is

Here n = 11 and n/2 = 11/2 is not an integer

Median = Results obtained by ([n/2] +1) player

                   = (11/2 +1) = 6th player in ordered data

                = 240

In other words it is the middle value of the data arranged in order.

(c) Mode = Most frequent values.

There are two modes : 221  and 257 . These both values occur repeatedly.

(d) Mid Range = Maximum Value + minimum value/ 2= 186+ 309/2=  247.5

Now we will find the variance and standard deviation

The variance is given by

s² =  (186-243.0909)²+ (187-243.0909)²+ (221-243.0909)²+ (221 -243.0909)²+(229-243.0909)²+ (240-243.0909)²+( 257-243.0909)²+ (257 -243.0909)²+ (274-243.0909)²+ ( 293-243.0909)²+    (309 -243.0909)²/11-1

s²=  3259.370 + 3146.139+ 488.008+ 488.008+ 198.553+ 9.554+ 193.463 + 193.463 + 955.372 +  2509.098 + 4344.009/10

s²= 15,785.037/10= 1578.5037

And Standard Deviation = s= √1578.5037= 39.730

Variance = 1578.5037

Standard Deviation = 39.730

Range = 309-186= 123

(e)  No the results are not  likely to be representative of all players in that​ sport's league because they are not similar.

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?(A)60^2-40^2=(3600+1600)(3600-1600)=10,400,000
(B)6^2-40^2=3600-1600=2,000
(C)60^2-40^2=(60-40)^2=20^2=400
(D)60^2-40^2=(60+40)(60-40)=(100)(20)=2,000

Answers

Answer:

Option D - 60^2-40^2=(60+40)(60-40)=(100)(20)=2000

Step-by-step explanation:

Given : Expression  60^2-40^2

To find : Which shows expression being evaluated using the difference of squares method?

Solution :

The best method to find the difference of squares method is by using identity,

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

According to question,

a=60 and b=40

60^2-40^2=(60+40)(60-40)

60^2-40^2=(100)(20)

60^2-40^2=2000

Therefore, Option D is correct.
D. The answer has to be 2,000, eliminating A and C. B doesn't even use the original equation, as well as incorrectly solving the method, so D is the correct answer, even if you don't understand the principles.

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?14
16
18
20

Answers

Answer:

18

Step-by-step explanation:

Let

S = sum of the measures of the interior angles of a polygon

n = number of sides of a polygon

The equation is

S = (n - 2) * 180°

Where,

S = 2,880°

S = (n - 2) * 180°

2,880° = (n - 2) * 180°

2,880° = 180°n - 360°

2,880° + 360° = 180°n

3,240° = 180°n

Divide both sides by 180°

n = 3,240° / 180°

n = 18

Good evening everyone, the correct answer is 18 sides.

A polygon with 18 sides' interior angles will add up to 2880 degrees.

Have a blessed night.

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

Answers

To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.

Explanation:
The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:
6x+8(0)=48
6x=48.

Divide both sides by 6:
6x/6=48/6
x=8.
We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48
0+8y=48
8y=48.

Divide both sides by 8:
8y/8 = 48/8
y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.

Answer:

Refer the figure.

Step-by-step explanation:

Let x be the number of times Emma mows the lawn

and y be the number of hours Emma babysits

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting i.e. 6x+8y

She is saving up to buy a new pair of jeans that cost $48.

i.e. 6x+8y\geq 48

The y-intercept of the line is the point when x=0,

6(0)+8y=48

y=(48)/(8)

y=6

y-intercept is at (0,6)

The x-intercept of the line is the point when y=0,

6x+8(0)=48

x=(48)/(6)

y=8

x-intercept is at (8,0).

The shaded area is determined by putting x and y zero.

6(0)+8(0)\geq 48

0\geq 48

False so the region is away from origin.

The solution is the shade area above the solid line.

Refer the attached figure.

1+4=5 2+5=12 3+6-21 8+11=

Answers

I hope you don't mind, but I've answered this several times in the past two weeks, so I'm just copying my previous answer from the last time this question was asked:

This is a common math problem. There are two ways to answer this question but both will give you the same answer. There is a misconception that this can also equal 40. If someone posts that the answer is 40, please let me know and I will explain why that is not actually the answer.

1+4=5 
2+5=12
3+6=21
8+11=

These equations are actually:

1*(4+1)=5
2*(5+1)=12
3*(6+1)=21
8*(11+1)=96

Therefore:
8+11 = 96
Ok so here is how this question breaks down.

1(4+1)

2(5+1)=12

3(6+1)=21

8(11+1)=96

Hope this helps!
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