Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answer:

Center = ( 1, 0)

Radius = 6 units

Step-by-step explanation:

[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]

Answer:24 , 4

Step-by-step explanation:

Given

There are 4 objects

(a)When the order is relevant

We use permutation to get the no of ways, that is

Choosing 3 objects out of 4

[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]

(b) When the order is not important, the same thing can be done in

[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]

Answer:

divied by 100 and remove the "%" sign.

Step-by-step explanation:

1.)example 10% becomes 10/100=0.10

2.) example 67.5% becomes 67.5/100=0.675

Answer:

C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

42 + 67+ 71 = 180. We also know 67 + 42 = 109.

Lets look at our answers;

A. 109 = 180 + x  When solved it gave me; x = -71. We got a positive 71 so this is incorrect.

B. x + 42 = 67   When solved it gave me;  x = 25, which is incorrect.

C. x = 180 - 109 When solved it gave me; x = 71

D. 42 + 67 - x = 180 When solved it gave me; x =  - 71

Therefore the answer is C.

Answer:

40

Step-by-step explanation:

5 × 8 = 40

1 × 40 = 40

2 × 20 = 40

Answer:

= 2x + 3

Step-by-step explanation:

have a nice day!! :)

Step-by-step explanation:

weeks. days. (wk,d)

2. 14. (2,14)

4. 28. (4,28)

6. 42. (6,42)

8. 56. (8,56)

Answer:

x = 10.3

y = 5.8

Step-by-step explanation:

To find both x and y, you can use the formula [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a and b would be the sides that touch the right angle

so to find x, you would do [tex]9^{2}[/tex] + [tex]5^{2}[/tex] = [tex]x^{2}[/tex]

this would be: 81 + 25 = [tex]x^{2}[/tex]

then add it and you get: 106 = [tex]x^{2}[/tex]

now do the square root of 106 to get: 10.3 = x

Now plug in your other values to get y: [tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]y^{2}[/tex]

do the same thing here: 25 + 9 = [tex]y^{2}[/tex]

add your numbers: 34 = [tex]y^{2}[/tex]

square root 34: 5.8 = y

Answer:it’s B (120 succes and 80 failures for khan academy)

Step-by-step explanation: trust me

The shape of the sampling distribution of [tex]\hat{p}_\text{A}-\hat{p}_\text{B}[/tex] is approximately normal because the number of success in district A is 120

The given parameters are:

In the sample size of 200, the number of adults that support a new ballot measure is:

Success = 60% * 200

Success = 120

Those that oppose is

Failure = 200 - 120

Failure  = 80

If 45% supports a new ballot measure in district B, then 55% do not support

The difference between those that support and do not support is:

(55% - 45%) * 100 = 10

Hence, the sampling distribution of [tex]\hat{p}_\text{A}-\hat{p}_\text{B}[/tex] is approximately normal

Read more about normal distribution at:

https://brainly.com/question/4079902

Answer:

4. h=9in

5. 150.8[tex]m^{2}[/tex]

6. 301.6[tex]in^{2}[/tex]

Step-by-step explanation:

4.

Surface area of a rectangular prism form : A=2(wl+hl+hw)

Substitute in values from the question: 558=2[(9)(11)+h(11)+h(9)]

Multiply where applicable: 558=2[(99)+11h+9h]

Combine like terms: 558=2[(99)+20h]

Divide both sides by 2: 279=(99)+20h

*note- This step can also be seen as multiplying the right side by 2 without messing with the left at all (558=(198)+40h) then you would solve in the same fashion as I will from here just with the alternative numbering*

Subtract to isolate the h: 180=20h

Divide both sides to isolate the h: 9=h

Now we see that the missing dimension h=9in

*note- I did not bold the equations with squares so please don't be confused by that*

5.

Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]

Substitute in values from the question: A=2π(3)(5)+2π[tex]3^{2}[/tex]

Multiply were applicable: A≈94.2+56.5

Add remaining values: A≈150.8

Now we see that the total surface area is 150.8[tex]m^{2}[/tex]

*note- whenever we solve for volume or SA of a figure we square the unit ([tex]m[/tex]➞[tex]m^{2}[/tex])*

6.

Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]

Substitute in values from the question: A=2π(6)(2)+2π[tex]6^{2}[/tex]

*note- we use 6 instead of the given value 12 because the equation calls for the radius and not the diameter*

Multiply were applicable: A≈75.2+226.2

Add remaining values: A≈301.6

Now we see that the total surface area is 301.6[tex]in^{2}[/tex]

*note- whenever we solve for volume or SA of a figure we square the unit ([tex]in[/tex]➞[tex]in^{2}[/tex])*

Hope this helps :)

Step-by-step explanation:

If you put some quantities for theta, you reach to B option

Step-by-step explanation:

2x 3x5 = 30 ÷ 3 = 10

hope this helps

Answer:

6x²

Step-by-step explanation:

3x×2x=6...... then an x²

Therefore answer is 6x²

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean.  That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)

Answer:

b. 42

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

✔

Answer:

In 1 hour the cell will become 0.06 grams.

If you want more hours, keep on doing that.

Answer: No

Step-by-step explanation:

She needs more than the bottle provides

Answer: 78.5

Step-by-step explanation:

Answer:

11 cm

Step-by-step explanation:

a= l x w

88= l x 8

88/8= 11

so ll cm is the width of the napkin

Answer:

0.75

Step-by-step explanation:

You are just combining like terms since there are no variables:

-5.75 + 6.5 is the same as,

6.5 - 5.75

= 0.75

Answer:

V = 48 cm³

Step-by-step explanation:

base = 4 x 4 = 16

V = 1/3(16)(9) = 48 cm³

Answer:

Area = 34 cm squared

Step-by-step explanation:

First,

Top = 5

Bottom = 5

Left side = 2

Right side = 2

Front = 10

Bottom = 10

Total = 34

Hope this helps!

Answer:

8.00

Step-by-step explanation:

to find the median, you have to order all your numbers from least to greatest (6.00, 7.00, 8.00, 8.00, 9.00) then find the number in the MIDDLE. that number would be 8.00 so therefore the median is 8.00.

Answer:

yes 18 24 and 30 does form a right triangle

Answer:

what do you need help with?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

7 x 3/4 = 21/4 = 5 - 1/4 ft

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

Answer:

C is correct

Step-by-step explanation:

Answer:

[tex]z - 8[/tex]