Can someone explain this to me

Answer/Step-by-step explanation:

Problem 1:

E is the centroid of the triangle.

Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.

This implies that:

AE = ⅔(AD)

AE = 21

Therefore:

21 = ⅔(AD)

3*21 = 2(AD)

(3*21)/2 = AD

31.5 = AD

AD = 31.5

Problem 2: Apply the centroid theorem. Thus:

DE = ⅓(AD)

DE = 12

Therefore,

12 = ⅓(AD)

12*3 = AD

36 = AD

AD = 36

Answer: B: 140.4

Step-by-step explanation:

Answer:

x>15.5

Step-by-step explanation:

x - 10.2 > 5.3

Add 10.2 to both sides

x-10.2+10.2>5.3+10.2

Simplify getting the answer of

x>15.5

Answer:

She went over her amount of money on her first two gifts so she has no money left for gift C.

Step-by-step explanation:

Gift A = 10 + 7 + 10 = 27

Gift B = 6 + 2 + 5 = 13

27 + 13 = 40

She went over her amount of money on her first two gifts so she has no money left for gift C???

Did you mean to put that many numbers for each gift or is there some kind of mistake in the question?

Answer:

Its B

Step-by-step explanation:

If you look at how the chart is flowing, the y values are 2 times the x value.

for example,

1x2=2

2x2=4

3x2=6

and

4x2=8

Therefore, the equation is linear and y=2x

Answer:

b. Linear; y = 2x

Step-by-step explanation:

Answer:

(20,5)

Step-by-step explanation:

The line is proportional making the answer equivalent.

Answer:

(20,5)

Step-by-step explanation:

20,5=4,1

-2

Divide each term (-4x = 8 by -4)

Cancel the common factor of -4

x = 8/-4

THEN DIVIDE

x=-2

Answer:

I believe it's A. but that's just what I think sorry I can't really back it up much

The answer is the third option, because the range is -6 and the third option says its greater than or equal to -2.

Answer: 22/25

Step-by-step explanation:

54x+6x-30=7(x+2)+3x

60x-30=7(x+2)+3x

60x-30=7x+14+3x

60x-30=10x+14

60x-10x-30=14

60x-10x=14+30

50x=14+30

50x=44

x=22/25

Answer:

Total cost= $100

Step-by-step explanation:

Giving the following information:

Each box has 10 brooms. Each broom is sold for $ 15

The charity earns $ 50 profit for each box of brooms.

First, we need to calculate the total revenue per box:

Total revenue per box= 10*15= $150

Now, the total cost:

Total cost= total revenue - total income

Total cost= 150 - 50

Total cost= $100

Answer:

Volume of the given sphere = 4.19 units³

Step-by-step explanation:

Volume of a sphere is given by the expression,

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = radius of the sphere

From the picture attached,

Radius of the sphere 'r' = 1 unit

Volume of the given sphere =  [tex]\frac{4}{3}\pi (1)^3[/tex]

                                               = [tex]\frac{4}{3}\pi[/tex]

                                               = [tex]\frac{4}{3}(3.14)[/tex]

                                               = 4.187

                                               ≈ 4.19 units³

Answer:

1st and 2nd options

Step-by-step explanation:

Using the method of completing the square to obtain standard form

(13)

Rearrange the given equation so x and y terms are together, that is

x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )

x² + 24x + y² + 30y = - 353

To complete the square

add ( half the coefficients of the x/ y term)² to both sides

x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225

(x + 12)² + (y + 15)² = 16

(x + 12)² + (y + 15)² = 4² ← in standard form

with centre = (- 12, - 15 ) and radius = 4

---------------------------------------------------------------------

(14)

As in number 13

x² - 22x + y² + 16y = - 181

Complete the square

x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64

(x - 11)² + (y + 8)² = 4

(x - 11)² + (y + 8)² = 2² ← in standard form

with centre = (11, - 8 ) and radius = 2

Answer:

9

Step-by-step explanation:

Range = Max value - min value

Max value = 6

Min value = -3

Range:

6 - (-3)

6 + 3

9

Answer:

9

Step-by-step explanation:

there are 9 numbers between -3 and 6 ;)

do u still need the answer or no cuz its kinda long

Answer:

c b

Step-by-step explanation:

khan

Answer:

6% growth

Step-by-step explanation:

The equation =

A = 2300(1.06)⁷

What does 0.06 represent in the equation?

The formula for Exponential growth =

y = a (1 +r)^t

Where

y = Size after time t

a = Initial size

r = Growth rate in Percentage

t = Time t

Equating both Equations together

y = a (1 +r)^t = A = 2300(1.06)⁷

1 + r = 1.06

r = 1.06 - 1

r = 0.06

Converting to percent

r = 0.06 × 100

r = 6% growth rate

Answer:

yes

Step-by-step explanation:

Answer:

I dont even understand that and im in 8th grade lol

Answer:

7,476 would be your answer because

62,300 divided by 3% is 1,869

and 1,869 times 4 is 7,476

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

We need to find bracelets per day.

1 day 2 days

5 bracelets 10 bracelets

since we know how many bracelets she can make per day, all we have to do is divide 35 by 5.

to get 7 days.

Answer:

D) [tex]-2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]

Answer:

hi

Step-by-step explanation:

i think so,

if the two corresponding sides of one triangle are congruent to the two corresponding sides of the other triangle, and the remaining angles between them are equal, then these triangles are similar.

Have a nice day

9514 1404 393

Answer:

Step-by-step explanation:

AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.

  angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°

  angle ABD = 45°

angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.

angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.

angles FBC and CDE add to make angle FBE, so that angle is ...

  angle FBE = 60° +45° = 105°

Answer:

C

Step-by-step explanation:

Answer:

[tex]Perimeter =58[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

[tex]Ax = Az =10[/tex]

[tex]Cx = Cy = 5[/tex]

[tex]By =Bz[/tex]

So, we have:

[tex]AC = 10 + Cx[/tex]

[tex]AC = 10 + 5[/tex]

[tex]AC = 15[/tex]

Also:

[tex]Az + Bz = AB[/tex]

[tex]Az + Bz = 24[/tex]

Recall that: [tex]Ax = Az =10[/tex]

So:

[tex]10 + Bz = 24[/tex]

[tex]Bz = 24 - 10[/tex]

[tex]Bz = 14[/tex]

So, we have:

[tex]By = Bz = 14[/tex]

To calculate BC, we have:

[tex]BC = 5 + By[/tex]

[tex]BC=5+14[/tex]

[tex]BC = 19[/tex]

The perimeter is then calculated as:

[tex]Perimeter = AB + BC + AC[/tex]

[tex]Perimeter = 24 + 19 + 15[/tex]

[tex]Perimeter = 58[/tex]

Answer:

384 cubic inches

Step-by-step explanation:

For this problem, we simply need to apply the volume formula for a box. The volume is length times width times height.

We are given length = 12 inches

We are given width = 8 inches

We are given tall(height) = 4 inches

So let's Calculate the volume.

Volume = Length * Width * Height

Volume = 12 inches * 8 inches * 4 inches

Volume = 384 cubic inches

Hence, the volume of the box is 384 cubic inches.

Cheers.