Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)

Answer:

1/2

Step-by-step explanation:

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of [tex]x[/tex], we can rewrite the equation replacing the variables.

[tex]\frac{2}{3}^{2} + 3*\frac{2}{3} - 2[/tex]

Now solve. While solving, remember the order of operations.

[tex]\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444[/tex] or [tex]\frac{4}{9}[/tex]

V=lwh/3

=3*1*7/3

=21/3

=7

Hope you like my answer.

Answer:

V=7 (Volume)

Step-by-step explanation:

V=lwh/3=3*1*7/3=7

Answer:

There are 16 nickels, 7 dimes, and 9 quarters.

Step-by-step explanation:

Aight, so lets set dimes as "x". Since there are 2 more quarters than dimes, quarters is "x+2". And since nickels is equal to dimes plus quarters, nickels takes the role of "(x+2)+x". We can simplify this by adding x and x together, so nickels is "2x+2" In this example, I'm converting these variables to cents, since it's easier than converting to dollars. Since a dime is 10 cents, 10 times x is"10x". Quarters are worth 25, so first we do x times 25 (25x) and then 2 times 25 (50). Then nickels. 2x+2 times 5 is 10x + 10. Alright, so now we have our cent values. $3.75 is 375 cents, so now we can make an equation:

10x + 25x + 50 + 10x + 10 = 375 cents.

I'm guessing you already know how to solve an equation, first combine like terms, then figure out how many times the variable goes into the numerical value. You should end up with 7, which is dimes. If we go back to our problem, we see that there are 2 more quarters, so 7+2= 9 quarters. As for nickels (9+7) there are 16 nickels.

There's probably a more efficient way to do this, but since I'm so... uh... inefficient, this is the best explanation I can do :p

Answer:

16 nickels 7 dimes 9 quarters

Step-by-step explanation:

im just that smarttttttt lol!! hope this helped

Answer:

x = 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1. distribute 7 to x and 5.

42 = 7x + 35

2. subtract 35 on both sides.

7 = 7x

3. Divide by 7 for both sides.

1 = x

Answer:

Discriminant = 49, two real solutions

Step-by-step explanation:

Discriminant = b² - 4ac = (5)² - 4(3)(-2) = 25 + 24 = 49

Since 49>0, then the quadratic equation has two real solutions.

Answer:

D=49  

x=1/3

x= -2

Step-by-step explanation:

sin z = 5/6

since sin= opposite/hypo

Answer:

decimal form = 56.4426....

degree form = 56 degrees 26 minutes 33.68 seconds

Step-by-step explanation:

sin theta = opposite/hypotenuse

sin theta = 5/6

theta = sin-1 (5/6)

Answer:

D) 6.8 inches

Step-by-step explanation:

1.7 x 4 = 6.8 inches

Answer:

No, Cindy is not correct.

Step-by-step explanation:

1/4 divided by 12 is dividing by a fraction

So:

1/4 / 12/1 = 1/4 x 1/12=1/48

1/48 is not equal to 3

Answer: He bought 1 magazine and 3 comic books.

Step-by-step explanation: If comic books cost $1 and magazines cost $3, the equation for the problem should look like this: 2(m) + 1(c) = 5, since you know that the brother spent $5 in total. "m" represents the number of magazines purchased while "c" represents the number of comic books purchased. If you plug in 1 for "m" and 3 for "c", the equation would be true and would equal a total of $5. Also, 1 magazine and 3 comic books would mean that the little brother did, in fact, purchase 4 items.

Answer:

Step-by-step explanation:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día!

Answer:

b

Step-by-step explanation:

Answer:

864 km

Step-by-step explanation:

Hope this helps! (I would appreciate brainliest, if not that's okay!!)

Answer:

Step-by-step explanation:

5*12=60

60*22=1320

Answer:

729 is 3 to the power of 6

Step-by-step explanation:

Answer:729

Step-by-step explanation: 3x3x3x3x3x3=729

Answer:

4.4

Step-by-step explanation:

The mean absolute deviation is 4.4, and you can just search "mean absolute deviation calculator ".

Answer: Slope of segment EF is -4/3

Answer:

The answer is -3/4

Step-by-step explanation:

:)

Answer:

6) -10

7) b

hope this helps :)

Answer:

es la B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.

Answer:

D

Step-by-step explanation:

Answer:

the answer is: parallelograms are quadilaterals

The initial price of eggs is $0.89 which is then increased to $0.99, so the percentage increase in the price is 11.23%.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given data in the question,

The price of dozen eggs = $0.89

The price increase by June = $0.99

The percentage increase in the price,

% increase = (0.99 - 0.89)/0.89 × 100

% increase = 11.2%

Therefore, the increase is 11.2%.

To know more about Percentage:

https://brainly.com/question/29306119

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Answer:

5(4t + 7)

Step-by-step explanation:

1) notice the 20 and 35 are both divisible by 5

2) factorise using 5

5(4t + 7)

Answer: B, 120

Step-by-step explanation:

look at x-value 8 and find y-value

Answer:

the cost of 8 shirts would be $120.

Step-by-step explanation:

if you go to the 8 on the bottom where it says "number of shirts" and you follow that line up to the blue dot and then over, you reach 120 on the side where it says "cost" so your answer would be $120.

Answer:

the last one the red one or is that orange is right

Step-by-step explanation:

Answer:

Simplifying

6z2 + -8z + 1 = 0

Reorder the terms:

1 + -8z + 6z2 = 0

Solving

1 + -8z + 6z2 = 0

Step-by-step explanation:

Answer:2 months

Step-by-step explanation:

Answer:

What is x? I will tell you the answer in the comments!! Thank you!!

Answer:

5,600 dollars he sold it for

Step-by-step explanation:

Basically if you cross multiply, you'll do 4,000 times 40. Then divide what you get from multiplying by 100, so do 160,000 divided by 100 in this case. Then when you get that 1,600, it isn't the final step. Lastly, you'll have to add 1,600 on to 4,000 to get the markup selling price. :)

Answer:

Step-by-step explanation:

If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form