This figure shows how to create a six-pointed star from twelve equilateral triangle tiles: [asy]
size(7cm);
pair cis(real magni, real argu) { return (magni*cos(argu*pi/180),magni*sin(argu*pi/180)); }

for(int i=90;i<450;i+=60) {
pair c=cis(1.2,i);
path p=c-cis(1,i)--c-cis(1,i+120)--c-cis(1,i-120)--cycle;
fill(p,orange+white);
draw(p);
pair c=cis(2.4,i);
path p=c+cis(1,i)--c+cis(1,i+120)--c+cis(1,i-120)--cycle;
fill(p,orange+white);
draw(p);
};

label("$\longrightarrow$",(4,0));
pair x=(8,0);
real s=sqrt(3);
path p=x+cis(s,0)--x+cis(3,30)--x+cis(s,60)--x+cis(3,90)--x+cis(s,120)--x+cis(3,150)--x+cis(s,180)--x+cis(3,210)--x+cis(s,240)--x+cis(3,270)--x+cis(s,300)--x+cis(3,330)--cycle;
fill(p,orange+white);
draw(p);
[/asy] If each of the original tiles has a perimeter of $10$ cm, what is the perimeter of the final star in cm?

Answer:

32

Step-by-step explanation:

2^5

This is 2 multiplied by itself 5 times

2*2*2*2*2

32

Answer:

(i) x = 67/4

(ii) x = 2/3

Step-by-step explanation:

(i)

5x + 3/4 - 2x - 4/3 = 5 add like terms

3x -7/12 = 5

3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4

(ii)

3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms

17 - 3x = 15

2 = 3x and x = 2/3

Answer:

992

Step-by-step explanation:

Divide 1000 by 26.

The answer is 38 and some left over. We don't care what the leftover is because it is nearly 0.5 and that means 13 people were left over.

Take the integer value (38) and multiply it by 26. You get 988.

You want there to be 4 left over. 4 + 988 = 992. That's one way of doing the problem.

Answer: 940 people is the maximum

==========================================

Explanation:

n = 1 means 20n = 20*1 = 20 members total, which is 4 short of making a row of 26 (so the remainder is 20)

n = 2 means 20n = 20*2 = 40 members. 40/26 = 1 remainder 14. We could make one full row with 14 members left over.

20n < 1000 solves to n < 50 after dividing both sides by 20. This means n is smaller than 50. It has to be larger than 0 or else 20n would be 0 or negative. We can write 0 < n < 50 to specify the range for n.

Since n < 50, this means the largest n can get is n = 49.

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

If n = 49, then 20n = 20*49 = 980

980/26 = 37 remainder 18, which isn't the remainder we want (of 4).

If n = 48, then 20n = 20*48 = 960

960/26 = 36 remainder 24, again not the remainder we want

If n = 47, then 20n = 20*47 = 940

940/26 = 36 remainder 4

If we have 940 members, then we can form 36 rows (26 in each row). So 26*36 = 936 people so far. Then we have 940-936 = 4 people left over.

There are other solutions as well such as n = 34, n = 21, and n = 8. Though n = 47 is the largest n possible to fit all the conditions required.

Answer:

$38

Step-by-step explanation:

cost of ticket for adult = $22

cost of ticket for youngster = $16

______________________________

cost of ticket for John's mom = $22 as she is adult

cost of ticket for john = $16 as he is young , his age is less than 18 years

Total cost of ticket for John and his mother = $22 + $16 = $38

Answer:

Option D

Step-by-step explanation:

Given

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Required

Determine if the function is quadratic

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

Next; Calculate the difference between the values of y

[tex]Difference: 11 - 7 = 4[/tex]

[tex]Difference: 14 - 11 = 3[/tex]

[tex]Difference: 18 - 4 = 4[/tex]

The resulting difference are: 4 || 3 || 4

Next; Calculate the difference between the difference of values of y

[tex]Difference = 3 - 4 = -1[/tex]

[tex]Difference = 4 - 3 = 1[/tex]

The resulting difference are: -1 || 1

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Option D answers the question

Answer:

An exponent

Step-by-step explanation:

look at PEM/DA/S

Parenthesis

EXPONENTS

and then you can stop the first operation is 7^3

this is an exponent

(also brainliest if this helped please!)

The first operation according to the PEM/DA/S rule to evaluate the 7³ - 4 · 3 +8 expression is an exponent.

It is the order or sequence of evaluating a math expression. We can remember the order using PEM/DA/S: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

In the given expression, using PEM/DA/S rule (Sometimes called BODMAS; the synonym of PEM/DA/S):

evaluate 7³ - 4 · 3 +8

The first operation is an exponent term, i.e.,

[tex]7^{3}[/tex]

Hence our first operation in the sequence of evaluating the given expression value is an exponent.

To learn more about PEM/DA/S, refer to the link:

https://brainly.com/question/36185

#SPJ2

Answer:

$11286.95 second year

$10335 first year

Step-by-step explanation:

9% of 9500 is 855, 9500 plus 855 = 10335. (first year)

9% of 10335 is 931.95, and 10335+931.95 is 11286.95. (second year)

The amount in the account at the end of 1 year  $10335 (first year)

The amount in the account at the end of 2 years $11286.95.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

here, we have,

$9500 is placed in an account that pays 9% interest compounded each year.

so, we get,

9% of 9500 is 855,

9500 plus 855 = 10335. (first year)

again,

9% of 10335 is 931.95,

and 10335+931.95 is 11286.95. (second year)

Hence, The amount in the account at the end of 1 year  $10335 (first year)

The amount in the account at the end of 2 years $11286.95.

To learn more on Compound interest click:

brainly.com/question/29335425

#SPJ2

[tex](f+g)(f)=f(x)+g(x)\\\\\\f(x)=\dfrac{x}{2}-2\\g(x)=2x^2+x-3\\\\(f+g)(x)=\dfrac{x}{2}-2+2x^2+x-3\\(f+g)(x)=2x^2+\dfrac{x}{2}+\dfrac{2x}{2}-5\\(f+g)(x)=2x^2+\dfrac{3x}{2}-5\\(f+g)(x)=2x^2+\dfrac{3}{2}x-5[/tex]

Answer:

F , D, E

Step-by-step explanation:

The smallest angle is opposite the smallest side

The largest angle is opposite the largest side

DE is smallest so F is smallest

Then EF so D

DF is largest so E is the largest angle

Answer:

5.5 inches

Step-by-step explanation:

Proportions:

1 inch ⇔ 20 miles

W inch ⇔ 110 miles

W = 110*1/20

W = 5,5 inch

Answer:

a=(29-2)*(12-3)

Step-by-step explanation:

a=LW

a=(L-2)*(W-3)

a=(29-2)*(12-3)

a=27*9

a=243ft²

Answer:

[tex]\Large \boxed{A = (29 - 2) \times (12 - 3)}[/tex]

Step-by-step explanation:

The length of the whole rectangle is 29 feet.

The width of the whole rectangle is 12 feet.

The length of the shaded region is 2 feet less than the length of the whole rectangle.

The width of the shaded region is 3 feet less than the width of the whole rectangle.

The area of a rectangle is length × width.

So we can create a formula to solve for the area of the shaded region:

A = (29 - 2) × (12 - 3)

Solving for the area.

A = 27 × 9

A = 243

The area of the shaded region is 243 feet².

Answer:

Step-by-step explanation:

it shows the maximum rise in temperature.

Answer:

b answer, will show the rise in temperature

Answer:

10 - 4y

Step-by-step explanation:

Combine like terms.  12, 21 and -23 add up to 10, and -5y + y is -4y.

Then, together, we have 10 - 4y (answer)

Answer:

[tex]\large\boxed{10 - 4y}[/tex]

Step-by-step explanation:

12 - 5y + 21 + y - 23

Combine like terms (add -5y to + y)

12 + 21 - 4y - 23

Add 12 + 21

33 - 4y - 23

Subtract 23 from 33

[tex]\large\boxed{10 - 4y}[/tex]

This is the simplest form of the expression.

Hope this helps :)

Answer: 33

First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.

Answer:

6b^2 +4b

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 * (3b+2) * (4b)

    =1/2 (12 b^2 +8b)

   = 6b^2 +4b

Answer:

23.4458015822

Step-by-step explanation:

tan(21) = 9/x

9/tan(21) = x

9/tan(21) = 23.4458015822

Answer:

$6.67

Step-by-step explanation:

$20/3 people

20/3

=6 2/3

=6.67

Each person gets $6.67.

Hope this helps!

Answer: Hi!

If you split a $20 dollar bill evenly in three parts, each person would get about $6.67 dollars. (If you divide 20 by 3, you get a recurring decimal, so it would round to 6.67.)

Hope this helps!

Answer:

x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{w}[/tex] + [tex]\frac{3}{x}[/tex] - [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{z}[/tex]

Multiply through by wxyz to clear the fractions

2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )

2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )

2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )

x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )

x = [tex]\frac{-3wyz}{2yz-4wz-wy}[/tex] ( multiply numerator/ denominator by - 1 )

x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]

The answer is Like terms.

sine and cosecant.

you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate

Answer:

The answer is below

Step-by-step explanation:

The distance traveled the first day = Distance from San Jose to Santa Barbara = 320 mile.

The distance traveled the second day = Distance from Santa Barbara to Los Angeles.

But From San Jose to Los Angeles = 425 mile. Therefore:

Distance From San Jose to Los Angeles =  Distance from San Jose to Santa Barbara +  Distance from Santa Barbara to Los Angeles

425 = 320 +  Distance from Santa Barbara to Los Angeles.

Distance from Santa Barbara to Los Angeles = 425 - 320 = 105 mile

The distance traveled the second day = Distance from Santa Barbara to Los Angeles = 105 miles

The distance traveled the first day  + The distance traveled the second day = Distance from San Jose to Santa Barbara + Distance from Santa Barbara to Los Angeles = 320 + 105 = 425 miles

The distance traveled the first day  + The distance traveled the second day = 425 miles

Answer:

(A) [tex]y = x+3[/tex]

Step-by-step explanation:

Using the values of (-6, -3), (3,6), and (5,8) we can substitute the values into each equation and see if the equation meets the requirements for all 3.

Let's test A first.

[tex]-3 = -6+3[/tex]

Correct, let's try the second pair.

[tex]6 = 3+3[/tex]

Correct, let's try the third pair.

[tex]8 = 5+3[/tex]

So yes, this equation works.

For fun, let's try the other equations.

Let's test B.

[tex]-3 = -6-3[/tex]

This is not true as -6 -3 = -9. So this equation is immediately ruled out.

Let's test C.

[tex]-3 = 2\cdot-6[/tex]

Again this doesn't work, as -6 times 2 is -12. So this equation is also ruled out.

Let's try D.

[tex]-3 = \frac{1}{2}\cdot-6[/tex]

This works, as half of -6 is -3 - however the equation will only work if all 3 pairs work for it.

Let's try the second pair.

[tex]6 = \frac{1}{2}\cdot3[/tex]

This doesn't work, as half of 3 is 1.5. This equation is also ruled out.

Therefore, A is the only equation that works with these pairs.

Hope this helped!

Answer:

0.332

Step-by-step explanation:

given series

1/4, 1/16,1/64.1/256

this is geometric series

where common ratio   r is given by

nth term/ (n-1)th term

let the second term is nth term and first term is (n-1)th term

r = 1/16 / (1/4) = 1/4

___________________________________________

sum of series is given by

a (1-r^n)/1-r

where a is first term

n is the number of terms

r is the common ration

___________________________________________

in the given series

1/4, 1/16,1/64.1/256

a = 1/4

r = 1/4

n = 4

thus ,

sum = 1/4(1-(1/4)^4)/ (1-1/4)

sum = 1/4(1-(1/256)/(4-1)/4

sum = 1/4((256-1)/256 / 3/4

1/4 in numerator and denominator gets cancelled

sum =( 255/256*3) = 255/768 = 0.332

Thus, sum of series is 0.332.

Answer:

341/256

Step-by-step explanation:

I took the test and got the answer right

You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Correlation Coefficient (r) = 0.989

alph=0.05

Number of observations (n) = 8

determine if there is a linear correlation between chest size and weight.

Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.

What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?

To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.

r^2 = square of the correlation Coefficient

r^2 = 0.989^2 = 0.978121

Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.

Answer:

.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

12 miles/110 hours

.109090909 miles per hour

Answer:

0.11

Step-by-step explanation:

Hello!

To find how many miles Lilli jogs per hour we divide the distance by the time it took

12/110 = 0.109

The answer is 0.11

Hope this helps!

Answer:

Infinite Amount of Solutions

Step-by-step explanation:

Since we have concurrent systems (same slope + same y-int), we know that the systems of equations would be the exact same line. If that is the case, the we would know that ANY value input would work. You could even test it mathematically, and it would give you infinite amount of solutions.

Answer:

A. 4y + 3 = 15

B. y = 3

Step-by-step explanation:

Three is added to four times a number, the result is 15

A. Equation to represent the above information:

Let the unknown number= y

4 * y + 3 = 15

4y + 3 = 15

B. Solve your equation in (a)​

4y + 3 = 15

Collect like terms

4y = 15 - 3

4y = 12

Divide both sides by 4

4y / 4 = 12 /4

y = 3

Therefore, the unknown number is 3

Answer:

put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = -5x + 3 ........... Equation 1

y = 1 ................ Equation 2

To solve the equation substitute equation 2 into equation 1

That's

Substitute y = 1 into y = - 5x + 3

So we have

1 = - 5x + 3

Group like terms

- 5x = 1 - 3

- 5x = - 2

Divide both sides by - 5

x = 2/5

Substitute x = 0.4 into equation 1

That's

y = - 5( 0.4 ) + 3

y = - 2 + 3

The solution for the system of equations is

Hope this helps you

Answer:

A. (0.4, 1)

Step-by-step explanation:

just took the edg. 2020 unit test

Answer:

Step-by-step explanation:

2(6y - 5) = 2

12y - 10 = 2

12y = 12

y = 1

x = 6(1) - 5

x = 6 - 5 = 1

(1,1)

Answer: (1,1)

Step-by-step explanation: 2(6y - 5) = 2

12y - 10 = 2

12y = 12

y = 1

x = 6(1) - 5

x = 6 - 5 = 1

(1,1)