The diagram shows two congruent equilateral triangles whose overlap is a hexagon. The areas of the smaller triangles, which are also equilateral, are 1 , 1 , 9 , 9 , 16 and 16 , as shown. What is the area of the inner hexagon?

Answer:

Step-by-step explanation:

5(x+12)=95 (multiply 5 in the brackets)

5x+60=95 (subtract 60 on both sides)

5x=35 (divide 5)

x=7

Answer:

A proportional relationship is something like:

y = k*x

where k is the constant of proportionality.

Notice that in these relationships we will always have the pair (0, 0)

because if x = 0:

y = k*0 = 0

Then we always have x= 0, y = 0.

Notice that in the first two tables we have the points:

(2, 0) in the first one

(0, 1) in the second one.

then neither of these can be a proportional relationship.

The only option left is the third one.

To graph the relationship, we can just graph the four points in the table.

Then draw a line that passes through all the points, like in the image below.

And this line is written as:

y = 3*x

such that:

y(1) = 3*1 = 3 -----> (1, 3)

y(2) = 3*2 = 6 -----> (2, 6)

y(3) = 3*3 = 9 ------>  (3, 9)

Answer:

$1.65

Step-by-step explanation:

4.95/3=1.65

Answer:

One tennis ball costs $1.65

Step-by-step explanation:

?= price of one tennis ball

1   -   ?

3   -   4.95

Solve: 4.95×1÷3= 1.65

Answer:

it is 19

Step-by-step explanation:

You break it down and divide it then u get answer

Answer:

#13050

Step-by-step explanation:

lxw

30x35= 1050

Answer:

and now i tried

Step-by-step explanation:

hello new challenger (:<

Answer:

b

Step-by-step explanation:

Question is incomplete :

The speed, S, of a bicycle varies directly with the number of revolutions per minute, R, that the pedals turn and the number of teeth on the front gear, F, and inversely with the number of teeth on the back gear B.

Lars is racing at 24 miles per hour. His front gear has 52 teeth and a back gear has 14 teeth. He is pedaling 84 revolutions per minute. As he sprints for the finish line, he pedals 112 revolutions per minute. What is his speed?

Answer:

32 mph

Step-by-step explanation:

Speed α number of revolutions α number of teeth on front gear α 1/teeth on back gear

Speed = S ; number of revolutions = R ; Number of teeth on front gear = F ; Number of teeth in back gear = B

S = k(R * F) / B

k = proportionality constant ;

24 = k(84 * 52) / 14

24 * 14 = 4368k

k = 336/4368

k = 0.0769230

Speed at R = 112

S = k(R * F) / B

S = 0.0769230(112 * 52) / 14

S = 447.999552 / 14

S = 31.999968

S = 32 mph

its a aaaaaaaaaaaaaaaaaaaaaaa

Answer:

2(x+5)

Step-by-step explanation:

2x+10

1.Factor our the 2 from the equation

2.Your answer after will be 2(x+5)

Answer:

Step-by-step explanation:

Answer:

2x10 + 2x1 + 0/10 + 5/100 + 6/1000

Step-by-step explanation:

option c is the correct cofficient of 3

Answer:

14x-2y

Step-by-step explanation:

just break down the expression by combining like terms and getting rid of the parenthesis like so:

2(x+y)+4(x+y)+8(x-y)

i multiplied the number in front of each parenthesis with both numbers inside

ex: 2(x+y)

2x+2y

result:

2x+2y+4x+4y+8x-8y

next:

14x-2y

Answer:

14x -2y

Step-by-step explanation:

2( x + y ) + 4( x + y ) + 8( x - y )

First, do the distributive property ( multiply what is in the parenthesis by what is out of it)

2( x + y ) + 4( x + y ) + 8( x - y )

2 * x + 2 * y + 4( x + y ) + 8( x - y )

2x + 2y + 4( x + y ) + 8( x - y )

2x + 2y + 4 * x + 4 * y + 8( x - y )

2x + 2y + 4x + 4y + 8( x - y )

2x + 2y + 4x + 4y +  8 * x + 8 * -y

2x + 2y + 4x + 4y + 8x - 8y

Now combine like terms

14x -2y

And you cannot simplify it anymore

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Jesse must have subtracted the 8 weeks from $40 to get $32 but the answer should be b $5

Step-by-step explanation:

Answer:

y=-10x-5

Step-by-step explanation:

Solve scale drawing problems Learn with flashcards, games, and more — for free. ... A plum tree is 7 inches tall on the scale drawing. What is ... The scale factor is 1/20. ... Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1:90?

Answer:

4.5 inches

Step-by-step explanation:

The scale factor is 1:20 which is 1/20, and the actual height is 90 inches.

First, write down the proportion:

1/20 = x/90

Multiply both sides by 90.

=> x = 90/20

=> x = 4.5in

Therefore, the height of the model is 4.5 inches.

Hope this helps :)

Answer:

10 cents

Step-by-step explanation:

the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents

Answer:

the ball costs $0.05

Step-by-step explanation:

if the total is $1.10, and the bat is $1 more than the ball, you do

1+2x=1.10. do the algebra, and you get 0.05. hope this helps.

Answer:

y=-4x-4

Step-by-step explanation:

Answer:

y=-4x+4

Step-by-step explanation:

Use order of operations, PEMDAS, to put it in y=mx+b form.

Answers: (Always remember that supplementary means 180 degrees and complementary means 90 degrees)

1. Supplementary

2. Complementary

3. Neither

4. Neither

5. Supplementary

6. Complementary

7. Supplementary

8. Neither

9. Complementary

I hope this helps!

Answer:

B'=U-B={q, r, s, t, u, V, W, x, y, z}-{q, s, y, z}={r,t, u, V, W, x, y}

A'=U-A={q, r, s, t, u, V, W, x, y, z}-{q, s, u, w, y}={r,t,v,w,x,z}

B'UC={r,t, u, V,W, x, y}U{v, w, x, y, z).={{r,t, u, V,W, x, y,z}

Step-by-step explanation:

(B'U C) U A'={{r,t, u, V,W, x,y,z}U{r,t,v,w,x,z}={{r,t, u, V,W, x,y,z}

Answer:

F = 12.14 m

Step-by-step explanation:

F is the side opposite the given 36° angle and the given side length, 15m is adjacent. It's a cosine equation that's needed.

find the cosine of 36°

(calculator necessary)

cos(36) = 0.8090169944

We should be safe to round that to .809 for this.

cos = opp/adj

Substitute what we know:

.809 = F/15 Multiply both sides by 15

.809(15) = F

12.135 = F Round to two places.

Side F is 12.14m

Answer:

Mean score of 90 students = 77.2

Step-by-step explanation:

Mean score of 50 students from school A = 75

Mean score of 40 students from school B = 80

We need to find mean score of the 90 students?

First we will find sum of scores of students from school A

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]

So, Sum of scores for School A = 3750

Now, we will find sum of scores of students from school B

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]

So, Sum of scores for School B = 3200

Now, We will find mean score of the 90 students?

Mean score of 90 students will be:

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]

So, mean score of 90 students = 77.2

Answer:

2.3+5.1-7x-3x

7.4-10x

Answer:

800cm.

Step-by-step explanation: 800cm is equal to 8 meters.

Answer:

800 centimeters is shorter.

Step-by-step explanation:

Answer:

I'm pretty sure it's y= 45+25x

Answer:

y=45 + 25x

Step-by-step explanation:

When a question is asking for an initial fee, they are basically saying that you must pay that flat amount in addition to the amount you would pay for x hours of work. Say you work 5 hours. You have to multiply the number of hours, or x, by 25, then add 45.

Answer:

3x squared - 5x+76

Step-by-step explanation:

2x^2+x^2=3x^2

-5x

12+72-8=76

Answer:

Step-by-step explanation:

As per the graph the order of transformations is:

1. 90 degree anticlockwise  rotation about origin

2. Reflection across x-axis

Correct option is B (transformations read and applied from right to left)

Answer:

its b

Step-by-step explanation:

hope it helps

Answer:

201.1 radians per minute

Step-by-step explanation:

The formula for Angular speed of tires in radians per minute =

1 revolutions per minute = 2π rad/min

32 revolutions per minute = x

x = 32 revolutions per minutes × 2 π radians per minute

x = 201.06192983 radians per minute

Approximately

x = 201.1 radians per minute

Therefore, the angular speed of the tires in radians per minute is 201.1 radians per minute

The angular speed of the tires in radians per minute is 201 rad per minute.

Angular speed is the rate at which an object changes it angles, it is measured in radians in a given time.

To convert from rad per minute to rev per minute, we divide by 2π.

1 rad per min = 1/2π rev per min

32 revolutions per minute = (32 * 2π) radians per minute = 201 rad per minute.

The angular speed of the tires in radians per minute is 201 rad per minute.

Find out more on angular speed at: https://brainly.com/question/6860269

Answer:

incomplete sentence More information At least please?