Triangle DEG is congruent to triangle?

Answer:

First box, fourth box, sixth box

Step-by-step explanation:

Positive in division means either both numbers are positive or negative

Answer:

Division to get 28

Step-by-step explanation:

Answer:

9×10 to the power of -8

Step-by-step explanation:

Cause when we add power to the power we multiply them

For example [tex](2^{2} )^2[/tex] , we multiply the power so , 2×2= 4 so [tex](2^{2} )^2[/tex] = [tex]2^{4}[/tex]=16

Same here [tex]((9*10)^{-4} )^2[/tex] we multiply the powers so -4×2=-8

So [tex]((9*10)^{-4} )^2[/tex] =[tex](9*10)^{-8}[/tex] = 2.323×[tex]10^{-16}[/tex]

Answer:

There are no statements

Step-by-step explanation:

If you put up the statements, I'll edit my answer

Answer:

Step-by-step explanation:

-2 - (-5) = 3

3 - (-4) = 7

6/18 = 1/3

The sequence of transformation that will map the circle would be:

D). Translate <3, 7> then dilate by a scale factor of 1/3

Dilation is denoted as the process in which an object gets expanded or widened.

Given that,

Center of circle A = (-5, -4)

Radius = 18

Center of circle M = (-2,3)

To find the dilation,

⇒ [tex]-2 - (-5) = 3[/tex]

⇒ [tex]3 - (-4) = 7[/tex]

= [tex]6/18[/tex]

[tex]= 1/3[/tex]

Therefore, the translation will happen with <3, 7> and the dilation in the scale factor being 1/3.

Thus, option D is the correct answer.

Learn more about "Scale Factor" here:

brainly.com/question/22644306

Answer:

B

Step-by-step explanation:

The solution is

Option A - True

The volume of the rectangular cargo is 2187 feet³

Option B - True

The volume of the rectangular cargo is 2187 feet³

Option C - True

The volume of the rectangular cargo is 2187 feet³

Option D - True

The volume of the rectangular cargo is 2187 feet³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the cargo hold be a rectangular prism

Now , the dimensions of the rectangular prism is

18 feet x 13.5 feet x 9 feet

And , the Volume of Rectangle = Length x Width x Height

Substituting the values in the equation , we get

Volume of Rectangle = 18 x 13.5 x 9

Volume of Rectangle = 2187 feet³

a)

The number of boxes = 6

The dimensions of the cargo be = 9 feet x 4.5 feet x 9 feet

So , the volume of the cargo = number of boxes x 9 x 4.5 x 9

On simplifying the equation , we get

Volume of the cargo = 6 x 364.5

Volume of the cargo = 2187 feet³

b)

The number of boxes = 81

The dimensions of the cargo be = 3 feet x 3 feet x 3 feet

So , the volume of the cargo = number of boxes x 3 x 3 x 3

On simplifying the equation , we get

Volume of the cargo = 81 x 27

Volume of the cargo = 2187 feet³

c)

The number of boxes = 24

The dimensions of the cargo be = 4.5 feet x 4.5 feet x 4.5 feet

So , the volume of the cargo = number of boxes x 4.5 x 4.5 x 4.5

On simplifying the equation , we get

Volume of the cargo = 24 x 91.125

Volume of the cargo = 2187 feet³

d)

The number of boxes = 12

The dimensions of the cargo be = 9 feet x 4.5 feet x 4.5 feet

So , the volume of the cargo = number of boxes x 9 x 4.5 x 4.5

On simplifying the equation , we get

Volume of the cargo = 12 x 182.25

Volume of the cargo = 2187 feet³

Hence , the volume of the rectangular cargo is 2187 feet³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ2

Answer:

Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y

Step-by-step explanation:

you're welcome

Answer:

200

Step-by-step explanation:

delta math

its 200.456 before rounding

Answer:

6 and 2

Step-by-step explanation:

6 times 2 is 12 and 6 plus 2 is 8

Answer:

40 Square Units

Step-by-step explanation:

Easy way to find area: Diagonal 1 * Diagonal 2 divide by 2 = your answer

Diagonal 1 (AC) = 5 + 5 = 10

Diagonal 2 (BD) = 4 + 4 = 8

10 + 8 = 80, 80/2 = 40

Answer: 40 square units

Answer:

C. 1796.08 [tex]in^2[/tex]

Step-by-step explanation:

Area of circle is [tex]\pi r^2[/tex], r is the radius

remember radius is from the center to the edge, so it is half the diameter

now we need to find the area of the large circle (table) minus the small circle (hole)

the radius of the large circle is 48/2 which is 24

the area is [tex]\pi 24^2[/tex] replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64

the radius of the small circle is 4/2 which is 2

the area is [tex]\pi 2^2[/tex] so the calculated value would be 12.56

now subtract the area of the hole (small circle) from the area of the table (large circle)

1808.64 - 12.56 = 1796.08

and there's your answer

hope that helps, lmk if it doesn't :)

Answer:

Step-by-step explanation:

r₁ = radius of tabletop = 24 in

r₂ = radius of hole = 2 in

area of hole = πr₂² = 4π in²

area of tabletop = πr₁² - πr₂² = 576π - 4π = 572π ≈ 1796.08 in²

Answer:

6 511 104 in³

Step-by-step explanation:

Since we have 1 crate and 8 boxes fit into one crate.

So, volume of one crate, V' = 8 × volume of 1 box, V

Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.

So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³

So, V' = 8 × 813 888 in³ = 6 511 104 in³

So, the minimum volume of the crate is 6 511 104 in³

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Answer:

2.8 liters

She drank 2.8 liters all together.

Step-by-step explanation:

0.878+1.2+0.75= 2.8

Nicky drank a total of 2.828 liters of water throughout the day.

To find out how much water Nicky drank altogether, you can add up the amounts of water she drank throughout the day.

0.878 liters after breakfast.

1.2 liters after lunch.

0.75 liters before dinner

Adding these values together:

0.878 + 1.2 + 0.75 = 2.828

Therefore, Nicky drank a total of 2.828 liters of water throughout the day.

To learn more on Addition click:

https://brainly.com/question/29560851

#SPJ6

Step-by-step explanation:

(125/5)×3=75

75 participate jogging

25×2=50

50 participate in cycling

Complete question :

A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Dr. Huber to finish his null hypothesis?

A. ...equal to 30%

B. ...less than 30%

C. ...greater than 30%

D. ...not equal to 30%

Answer:

A. ...equal to 30%

Step-by-step explanation:

Given the incomplete hypothesis statement for the Null ;

The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30

The alternative hypothesis on the other side is the opposite statement or hypothesis.

Answer:

9)m≤54

11)x>30

13)y≤40

Step-by-step explanation:

9)m−18≤36

Add 18 to both sides.

m≤36+18

Add 36 and 18 to get 54.

m≤54

11)9x>270

Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.

x=270/9

Divide 270 by 9 to get 30.

x>30

13)y/5≤8

Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.

y≤8×5

Multiply 8 and 5 to get 40.

y≤40

Answer:

lower Right.

Step-by-step explanation:

Remark

The two angles share the same side of vertically opposite angles. That makes them supplementary which means the two angles add to 180 degrees.

Equation

4x + 8x + 12 = 180         Combine like terms on the left

Solution

Solution :

a). [tex]$P(0)$[/tex] is true

Then ,[tex]$P(0+2)=P(2)$[/tex] is true.

         [tex]$P(2+2)=P(4)$[/tex] is true

          [tex]$P(4+2)=P(6)$[/tex] is true.

Therefore, we see that [tex]$P(n)$[/tex] is true for all the even integers : [tex]$\{0, 2,4,6,...\}$[/tex]

b). [tex]$P(0)$[/tex] is true

Then ,[tex]$P(0+3)=P(3)$[/tex] is true.

         [tex]$P(3+3)=P(6)$[/tex] is true

          [tex]$P(6+3)=P(9)$[/tex] is true.

Therefore, we see that [tex]$P(n)$[/tex] is true for all the multiples of 3 : [tex]$\{0, 3,6,9,12,...\}$[/tex]

c). [tex]$P(0)$[/tex] and [tex]$P(1)$[/tex] is true, then [tex]$P(0+2)=P(2)$[/tex] is true

[tex]$P(1)$[/tex] and [tex]$P(2)$[/tex] is true, then [tex]$P(1+2)=P(3)$[/tex] is true.

[tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true, then [tex]$P(2+2)=P(4)$[/tex] is true.

So, we observe that  [tex]$P(n)$[/tex] is true for all the non- negative integers : [tex]$\{0, 1,2,3,4,5,6,...\}$[/tex].

d). [tex]$P(0)$[/tex] is true,

   So, [tex]$P(0+2)$[/tex] and [tex]$P(0+3)$[/tex] is true or [tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true.

   Now,   [tex]$P(2)$[/tex] is true.

Again, [tex]$P(2+2)$[/tex] and [tex]$P(2+3)$[/tex] is true or [tex]$P(4)$[/tex] and [tex]$P(5)$[/tex] is true.

   Now, [tex]$P(3)$[/tex] is true.

Again, [tex]$P(3+2)$[/tex] and [tex]$P(3+3)$[/tex] is true or [tex]$P(5)$[/tex] and [tex]$P(6)$[/tex] is true.

Thus,

[tex]$P(n)$[/tex] is true for all the non- negative integers except 1 : [tex]$\{0, 2,3,4,5,6,...\}$[/tex].

4x+2=150 150-2=148 148/4= 37

Answer:

37

Step-by-step explanation:

first option, 37..................................................................................................................................................................................................................................................................................................

Answer:

55

Step-by-step explanation:

55 is your answer

Answer:

Step-by-step explanation:

Subtract

2

y

from both sides of the equation.

x

=

12

−

2

y

−

x

=

−

y

−

6

Replace all occurrences of

x

with

12

−

2

y

in each equation.

Tap for more steps...

−

12

+

2

y

=

−

y

−

6

x

=

12

−

2

y

Solve for

y

in the first equation.

Tap for more steps...

y

=

2

x

=

12

−

2

y

Replace all occurrences of

y

with

2

in each equation.

Tap for more steps...

x

=

8

y

=

2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(

8

,

2

)

The result can be shown in multiple forms.

Point Form:

(

8

,

2

)

Equation Form:

x

=

8

,

y

=

2

Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Step-by-step explanation:

Given

[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]

[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]

The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]

vector opposite to the vector  [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]

[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Answer: 1/7

Step-by-step explanation:

Answer:

(4,2) (11,3)

Step-by-step explanation: