A circular rug has a radius of 1 yard. Determine
the area of the rug to the nearest tenth of a
square foot.
1 yard
F. 3.9 ft?
G. 4.9 ft
H. 18.8 ft
J. 28.3 ft?

Step-by-step explanation:

F(g(x)) = F(x-4)

= 5(x-4) +4

= 5x-20+4

=5x-16

G(f(x)) = G(5x-4)

= (5x-4) -4

= 5x-8

Answer:

[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]

Answer:

1st option is correct

Step-by-step explanation:

because power gets add up when base is same in inti

Answer:

Drake: 18

Josh: 11

Step-by-step explanation:

11*2=22

22-4 = 18

11+18= 29

Answer:

3.1 : 2.48

Step-by-step explanation:

The volume of two sphere are the ratio 125:64

The volume of a sphere = 4/3 × π × r³

Hence, we have to find the radius of the cylinder

The formula for radius of the cylinder =

(3V/4π)⅓

For sphere 1

Volume = 125

=( 3 × 125/4 × π)⅓

= 3.1

For sphere 1

Volume = 64

=( 3 × 64/4 × π)⅓

= 2.48

The ratio of their radii =

3.1 : 2.48

Answer:

14800

Step-by-step explanation:

The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;

I = P x R x T / 100         ------------- (i)

Given:

Principal (P) = Initial amount being put into the account = 10000

Rate (R) = The interest rate being offered by the account manager = 4%

Time (T) = Time taken = 12 years

Substitute these values into equation (i) as follows:

I = 10000 x 4 x 12 / 100

I = 4800

Therefore, the initial amount will yield an interest of 4800 for those 12 years.

The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e

Amount = P + I

Amount = 10000 + 4800

Amount = 14800

Answer:

$720

Step-by-step explanation:

Given the following functions

Cost function C(x)=50x+400

Revenue function R(x)=80x-0.05x^2

P(x)=R(x)−C(x).

Profit function P(x) = 80x-0.05x^2 - (50x+400)

P(x) = 80x-0.05x^2 - 50x - 400

Substitute x = 40

 P(40) = 80(40)-0.05(40)^2 - 50(40) - 400

P(40) = 3200-80-2000-400

P(40) =3200-2480

P(40) = 720

Hence the amount of profit made is $720

Answer:

C. 37 miles

Step-by-step explanation:

0.50 + 1.50 = 20

        -1.50     -1.50

0.50 = 18.50

18.50 / 0.50 = 37

Answer:

I dont think you can solve or simplify that so what exactly are you asking for..?

Answer: the solution of the sytem is x = 4, y = 11/3.

Step-by-step explanation:

There are multiple ways to solve this, you could just graph the other line and see at which point both lines intersect, that point is the solution of the system.

I will do it in a more analytical way.

We have the two equations:

y = -(1/3)*x + 5

y = (5/3)*x - 3

x and y represent the same number.

then we must have y = y

then we can write:

-(1/3)*x + 5 = y = (5/3)*x - 3

this means that:

-(1/3)*x + 5 = (5/3)*x - 3

Now we can solve this for x.

To do it, let's move all the terms with x to the left, and the terms without x to the right:

-(1/3)*x - (5/3)*x = -3 - 5

-(6/3)*x = -8

-2*x = -8

x = -8/-2 = 4

We found the value of x, now we can replace this in one of the two equations to get the value of y.

Let's use the first equation:

y = -(1/3)*4 + 5 = -4/3 + 5 = -4/3 + 15/3 = (15 - 4)/3 = 11/3

Then the solution of the sytem is x = 4, y = 11/3.

Also can be written as (4, 11/3).

Answer: 1/15

Step-by-step explanation:

The lady wants to use 1/3 of her bead collection to make 5 bracelets for 5 friends.

This means that the amount of beads required for each bracelet is be 1/3 divided by the 5 bracelets:

= 1/3 ÷ 5

= 1/3 * 1/5

= 1/15 of her collection

When dividing fractions, you can instead multiply the inverse of the second fraction to get your answer.

Answer:

Step-by-step explanation:

The diagonals in squares always equal 90 degrees, so thats your answer for AEB: 90

For EDC:

We know that DEC is 90, and angle measures in a triangle must add to 180.

Angle D and C are congruent, so they are both 45 degrees.

EDC: 45

Answer:

$3.68

Step-by-step explanation:

Answer:

Difference between Joyce's and her brothers age is 10 years.

Step-by-step explanation:

Let,

x be the age of Joyce

y be the age of her brother

According to given statement;

x+y=24       Eqn 1

y = 2x+3    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x+2x+3=24

3x=24-3

3x=21

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]

Putting x=7 in Eqn 2

y = 2(7) + 3

y = 14+3

y = 17

Difference = 17 - 7 = 10 years

Hence,

Difference between Joyce's and her brothers age is 10 years.

Answer:

nxejcxjwxjw kjxn

Step-by-step explanation:

nxke jxin jinjid c i

Answer:

1.   752/47=16

2.  375/25=15

3.  576/24=24

hope this helps!!:)

Step-by-step explanation:

1.

1. Find the Greatest Common Factor (GCF) of 752 which is 47 .

2. Divide both the numerator and the denominator by the GCF.

752/47

47/47

3. simplify

16

hope this helps!!:)

Answer:

for all of them

Step-by-step explanation:

Answer:Joints

Step-by-step explanation:

It is likely the joining point so it is so help ful

Answer:

m<1 = 40°

m<2 = 118°

m<3 = 71°

Step-by-step explanation:

✔️m<2 = 180° - 62° (angles in a straight line/supplementary angles)

m<2 = 118°

✔️m<1 = 180° - (118° + 22°) (sum of ∆)

m<1 = 40°

✔️m<3 = 180 - (47 + 62) (sum of ∆)

m<3 = 71°

Answer:

B

Step-by-step explanation:

Sana makatulong answer ko

697 square centimeters

Step-by-step explanation:

<3

Answer:

xy(5-6xy)/4

Step-by-step explanation:

Here, we want to evaluate the expression given

We have this as ;

(5xy - 6x^2y^2)/4

= xy(5-6xy)/4

Answer:

13.5 kg of peanuts are needed to fill 15 bags.

Please mark as brainliest

Step-by-step explanation:

Let a equal the total kg of peanuts.

[tex]a=0.9(15)\\a=13.5\\[/tex]

Answer:

Step-by-step explanation:

100 bushels of corn are divided among 100 people: men, women, and children. Men get 3 bushels each. Women get 2 each. Children get 1/2 bushel each. How can the bushels be distributed?

Answer:

i wish i could help but i need image of triangle to answer it sorry

Step-by-step explanation: