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.
16
16
X1
9
What is the area of the inner hexagon?

Answers

Answer 1

Answer:

38

Step-by-step explanation:


Related Questions

If a = 2 then what is 3a + 1?

Answers

Answer:

7

Step-by-step explanation:

3(2) + 1

3 x 2 = 6

6 + 1 = 7

Answer:

7

Step-by-step explanation:

3(2) + 1

6 + 1

=7

Type and equation for the following pattern.

Answers

Answer:x^2 -1

x square minus one

Step-by-step explanation:

consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?

Answers

Answer:

because a co-efficient is the multiplicative factor in polynomials and it's minus 4 before the y. you would just take the minus and put it with the 4 otherwise it would just be floating there ig.

Step-by-step explanation:

Write down the size of angle ABC.
Give a reason for your answer.

Answers

Answer:

Angle ABC = 90°

Step-by-step explanation:

Angle AOC= 180°

so Angle ABC = 0.5 x AOC

or another way to explain is

Rule 1: Angles in semi circle are always 90°

If the ratio of boys to girls is 1:2 and there are 10 girls in your class, how many boys are there?

Answers

Answer:

5

Step-by-step explanation:

divide 10 by 2

Answer:

There are 5 boys in the class

Can you help me with this one math problem please?
I emailed my teacher for help but she is not responding. No one can help me.

Answers

Answer:

240

Step-by-step explanation:

if you mulitiply 6 and 5 to get 30 times 8 you get 240

sorry if wrong

McKenna earns $12 per hour mowing her grandmother yard.

Answers

Answer:

???

Step-by-step explanation:

simplify the expression

Answers

Answer:

=2 (2/3)-5 (1/4) (putting the values of x and y)

=4/3-5/4

=4-5/4

-1/2

Answer:

1/12

Step-by-step explanation:

2(2/3) = 4/3 and 5(1/4) = 5/4

Can someone help me with this

Answers

Answer:

sas

Step-by-step explanation:

3. Find the values of the variables and the lengths of the sides of this kite.

y - 3

x+2

2x+2

x+11

A. x = 9, y = 14; 11, 20

B. x = 14, y = 9; 11, 11

C. x = 14, y = 9; 6, 16

D. x = 9, y = 14; 6, 16

Answers

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5                        .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

PLEASE HELP URGENT!!

Answers

Answer:

mathw a y

Step-by-step explanation:

use mathw a y to help solve questions like this

can someone help me out here ??

Answers

Answer:

6.04 inches

Step-by-step explanation:

1 in. = 100 Ft.

604 Ft / 100Ft = 6.04

Answer:

6.04 inches

Step-by-step explanation:

Given expression: 604 ÷ 100

The actual height of the building is 604 feet, and if Corbin wants to scale it down 1:100, then he would divide the height of the building by 100 to get the height in inches of the model.

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?

Answers

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

List the elements in the set . Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. (B ∪ A)'

Answers

I don’t get the way you ordered this can you sent me a picture of it or some

Will give another brain!!

Answers

Yes, SAS (Side Angle Side)

Carmen spent $68.99 on a new coat and $31.85 on a new pair of boots about how much more did the coat cost in the boots ​

Answers

Answer:

6.99$

Step-by-step explanation:

Please help me. I don't understand this.​

Answers

Answer:

Neither  do i

JK

heehee

Step-by-step explanation:

EF/DF

EF/DE

(the last one)

hope this helps! :D

have a grrrreat day/night

byeeee

help me, 2+4 3 ×4+(2×9)

Answers

It should be 192 I’m pretty sure

Hi. I need help with these questions (see image)
Please show workings.

Answers

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Solve the simultaneous equations
8x + 3y = 45
2x + 3y = 27

Answers


8x + 3y = 45 * -2
2x + 3y = 27 * 8

-16x - 6y = 90
16x + 24y = 216

24y = 216
y = 216/24
y = 9


8x + 3y = 45
8x + 3(9) = 45

8x + 27 = 45
8x = 45 - 27
8x = 18
x = 18/8
x = 2.25


x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

What are linear equations?

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

To know more about linear equations follow

https://brainly.com/question/24163948

#SPJ2

Help I don’t know what I’m doing

Answers

Answer:

[tex] {2}^{3} \times \sqrt{2} \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \\ = {2}^{(3 + \frac{1}{2})} \\ = {2}^{ \frac{(6 + 1)}{2} } \\ = {2}^{( \frac{7}{2}) } \\ = \boxed{ {2}^{(3.5)} }✓[/tex]

2³'⁵ is the right answer.

Freddie made the number line below to model the laps he walks around a track at his
school. He walks a total of 1} miles. Each lap is į mile. How many laps does Freddie walk
around the track?

Answers

Answer: 6 laps

Step-by-step explanation: 1/4 x 6 = 1 and 1/2

The number of laps Freddie walk around the track is, 4

What is division?

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Freddie made the number line  to model the laps he walks around a track at his school,

And each lap is 0.25 miles,

And Freddie walks a total of 1 mile,

So to find the number of laps he walks,

we can divide the total distance by the distance per lap:

Number of laps = 1/0.25  mile/miles per lap

                          = 4 laps

Hence, the number of laps is 4

To know more about division check:

https://brainly.com/question/21416852

#SPJ5

Which of the following rational functions is graphed below

Answers

Answer: c I’m pretty sure

Step-by-step explanation:

Graph the line 3x + y = 12.

Answers

Answer:

the slope is -3 and the y intercept is 12

Scott has $80 in a savings account. The interest rate is 5%, compounded annually.

To the nearest cent, how much interest will he earn in 3 years?

Answers

Answer:

9 years po sana po makatulong

Step-by-step explanation:

sana po makatulong 9 years

Please help, synthetic Division. will give brainlist

Answers

Answer:

[tex]\frac{x^3 +7x^2-2x-6}{x+ 7} \ = \ x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Step-by-step explanation:

Given polynomial function;

x³ + 7x² - 2x - 6

divisor of the polynomial = x + 7

The function is divided as follows;

                                   x²  - 2

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

                  x + 7   x³ + 7x² - 2x - 6

                              - (x³  + 7x²)      ↓

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

                                                 -2x - 6

                                               - (-2x - 14)

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

                                                           8

Since there is a remainder of 8, then the result is expressed as follows; [tex]q(x) + \frac{r(x)}{b(x)} = x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

                       

I need help with 1 - 4 please

Answers

Answer:

I'll help u with #1 then u can do the others hopefully

Step-by-step explanation:

y=mx+b

1. slope=m

slope=1.5 so y=1.5x+b

y-intercept=b

y-intercept=5 (because (0, 5) means x is 0 and y is 5, which is that point)

Answer: y=1.5x+5

Will's age is 3 years more than twice Anne's. He is 15. How old is
Anne? _____

Answers

Will is 33 years old

Annie is 6 years old

15-3=12

12 divided by 2 is 6

Which of the following equations is equivalent to 2/3a - 7 = 1/3

Answers

Answer:

a = 11

Step-by-step explanation:

Given the equation 2/3a - 7 = 1/3

We are to find the value of a that satisfies the equation

2/3 a = 1/3 + 7

2/3 a = (1+21)/3

2/3 a = 22/3

2a = 22

a = 22/2

a = 11

Hence the value of a that satisfies the equation is 11

The ratio of chairs to tables at a certain restaurant is 20 to 3. If there are 120 chairs in the restaurant, how many tables are there?

Answers

Answer:

20

Step-by-step explanation: 20 divided by 3 is 6, so if you divided that 120 by 6 you get 20.

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