2
1 1. On a coordinate graph, the points A(-5, 6),B(2, 6),C(2, -1), and D(-5, -1) are the vertices of a
Nuare. What is the area of the square?
A. 7 square units
B. 14 square units
C. 28 square units
D. 49 square units

Answer:

the angle between the diagonal is 0.6155 RADIANS

Step-by-step explanation:

Given the data in the question

as illustrated in the image below;

O is [0,0,0]

B is [15,0,15]

E is [15,15,15]

Now to find angle BOE

vector OB = [15,0,15]

vector OE = [15,15,15]

OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]

|OB| = √(15² + 15²) = √(225 + 225) = √450

|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675

so

Angle BOE = cos⁻¹ (  450 / ( √450 × √675 )

Angle BOE = cos⁻¹ ( 0.81649 )

Angle BOE = 35.265°

Angle BOE = 0.6155 RADIANS

Therefore, the angle between the diagonal is 0.6155 RADIANS  

Answer:

c. 6x + 15 = 39

Step-by-step explanation:

hope this helps

Answer:

(5x+12) (5x-12)

Step-by-step explanation:

Use the difference of squares fromula. [tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]

Where a = 5x and b =12.

Answer:

200cm

Step-by-step explanation:

Answer:

b = 45 / 4 = 11 1 /4.

Step-by-step explanation:

We are dealing with a (30,60,90)-triangle, therefore z = 15 sqrt(3) / 2. So as well b = (15 sqrt(3) / 2) sqrt(3) / 2 = 45 / 4.

Answer:

340 Square inches

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

you use the 45-45-90 method and get 8

Answer:8

Step-by-step explanation:

Answer

P= 2L+2W

P=2(12) +2(7) =38

Step-by-step explanation:

The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle and the perimeter of the rectangle.

First it helps to draw a picture so draw a rectangle

Remember that area of a rectangle =Length times width and the perimeter is P= 2 times the length plus 2 times the width

So A=LW and P=2L+2W

84= area

L=length

W= length -5

L(L-5)=84 distribute the L and you have L2 -5L=84 now subtract 84 from both sides and get L2 �5L-84 next factor to get (L+7)(L-12) next set both to =0 (L+7)=0 (L+12)=0 solve for L

L=-7 and L=12 you can�t have a negative length so -7 is out. So L=12 now plug in to the original area equation

84=LW 84= 12w now divide both sides by 12 to isolate W, this gives you W=7

L=12 and W= 7

For perimeter use 12 for the length and 7 for width Remember that P= 2L+2W

P=2(12) +2(7) =38

Answer: 4 members

Step-by-step explanation: Good luck! :D

Answer:

4 members are participating

Step-by-step explanation:

Make the denominator equivalent to the amount of members

1/4 times 4

4/16

Answer:

685ik

Step-by-step explanation:

uuuuuuyyyyyyyyyyyyyyyyty

plus the wat

5.6t

Answer:

length 15 width 9

Step-by-step explanation:

Then the length can be represented by the following expression: (x + 6)

Since area is equal to length times width, we can write the following equation for the area:

A = length * width

135 = (w + 6) * w

Now we can solve for w after using the distributive property and factoring:

135 = (w + 6) * w

135 = w^2 + 6w

0 = w^2 + 6w - 135

This factors to:

0 = (w + 15) (w -9)

w = -15 OR w = 9

Answer:

95$!

Step-by-step explanation:

475 x 20% = 95

Answer:

The median score was greater for science, but the range was greater for math.

Step-by-step explanation: I think I don’t now.

The statement "The median score was greater for math, but the variability was greater for science" is true

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Calculate the mean absolute deviation (MAD) for both sets of scores. The MAD measures the average distance of each score from the mean of the data set.

For the math scores, the mean is:

(72 + 92 + 88 + 67 + 54 + 58 + 64 + 76 + 65 + 72) / 10 = 70.8

To calculate the MAD for the math scores, we need to find the absolute deviation of each score from the mean.

The sum of these absolute deviations is:

1.2 + 21.2 + 17.2 + 3.8 + 16.8 + 12.8 + 6.8 + 5.2 + 5.8 + 1.2 = 91

To calculate the MAD for the science scores, we need to find the absolute deviation of each score from the mean, and then calculate the average of these absolute deviations.

The sum of these absolute deviations is:

10.4 + 4.4 + 17.6 + 15.4 + 19.6 + 5.6 + 1.4 + 4.4 + 10.4 + 13.6 = 103.4

The MAD for the science scores is:

103.4 / 10 = 10.34

Therefore, the statement "The median score was greater for math, but the variability was greater for science" is true

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ2

Answer:

1/4

Step-by-step explanation:

8-4/13-(-3)=4/16=1/4

Answer:hk,h,(

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Step-by-step explanation:

Answer:

I have no clue.,...

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Answer:

C. Rhombus

Step-by-step explanation:

Because the shaded shape is has 4 sides and looks like a rhombus

Answer:

x = 7

Step-by-step explanation:

2x + 8y=30

y=2

2x + 8(2) = 30

2x + 16 = 30

2x = 30 - 16

2x = 14

x = 14/2

x = 7

Answer:

B is the correct answer

Step-by-step explanation:

just did this problem

Answer:

$21.67 profit

Step-by-step explanation:

65/1.5 = 43.33 bought for

65.00-43.33 = 21.67 profit

Answer:

C 160

Step-by-step explanation:

hop it helped you in any way

Answer:

g(x)= (x+2) (x+1) (x-1)

Step-by-step explanation:

Answer:

The answer is 8.

Step-by-step explanation:

I will explain in the comments

Answer:  166 + n >= 248. <-- We use >= symbol since at least means greater than or equal to.

166 + n >= 248

n >= 82

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]166+n\ge 248[/tex]