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3 years ago

5

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?

2 answers:

Pepsi [2]3 years ago

6 0

Answer:

the answer is a

Elan Coil [88]3 years ago

3 0

The answer is A. <span>6(4a^2-3</span>

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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt

sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

$xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)$

Perimeter of box, $P=2(x+y)$

$P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]$

Differentiate w.r to x

$\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})$

For critical point, $\dfrac{dP}{dx}=0$

$\therefore 2(1-\dfrac{36}{x^2})=0$

$\Rightarrow x=\pm6$

x can't be negative.

$\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})$

$P_{min}=24$ units

Hence, Length = 6 units and width = 6 units

5 0

3 years ago

Kong took 15% fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds. How many seconds di

Inga [223]

85 x .15 = 12.75
85 + 12.75 = 97.75
Answer: Nolan took 97.75 Seconds

8 0

3 years ago

Read 2 more answers

Help me please!!!!!!!!!

Diano4ka-milaya [45]

Answer:

sorry i dont know

Step-by-step explanation:

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3 years ago

Aaron and noah wanted to have a contest to see which of their paper airplanes could fly the longest distance. Aaron's plane flew

Marina CMI [18]

Aaron's plane flew 3.21 meters further than Noah's plane.

<u><em>Explanation</em></u>

Aaron's plane flew 4 meters and Noah's plane flew 79 centimeters.

So, first we need to <u>convert 79 centimeters into meters</u>.

We know that, 1 centimeter = 0.01 meter

So, 79 centimeters = $(0.01*79)meter= 0.79 meter$

Now, the difference of distance between Aaron's plane and Noah's plane is $(4-0.79) meters = 3.21 meters$

3 0

4 years ago

Grant needs 2/3 cup of raisins and 3/4 cup of almonds to make trail mix, which statement can be used to find out if their are mo

deff fn [24]

To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa.

<span>3*4 = denominator of both
</span><span>2*4 = numerator of first fraction
</span><span>3*3 = numerator of second fraction
</span>
Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions.

<span>Overall, there are 1/12 more almonds than raisins.</span>

8 0

4 years ago