All categories

4 years ago

Someone please solve this ASAP and give answer as a square root

Mathematics

1 answer:

natima [27]4 years ago

8 0

Given pyramid with a regular hexagonal base,
side length=6 $\sqrt{3}$ cm
Height = 4 cm

We need to find the area of the hexagonal base. First step is to find the apothm,
a=side*( $\sqrt{3}/2$
=6*3/2=9
So the area of each equilateral triangle making up the base
=base*apothem/2
=6 $\sqrt{3}$ *9/2
=27 $\sqrt{3}$
The area of base = 6 area of each triangle
=6*27 $\sqrt{3}$
=162 $\sqrt{3}$

Volume of pyramid = area of base * height /3
=162 $\sqrt{3}$ *4/3
=216 $\sqrt{3}$

You might be interested in

Please help me find the cube root of 1-i and the square root of i. Leave your answers in Trig form

Inga [223]

Answer:

Step-by-step explanation:

7 0

3 years ago

If X-A=B, what is X?! NEED HELP ASAP!!

Natasha_Volkova [10]

X-A=B
+A
X=A+B

i hope i helped you out

6 0

4 years ago

I need help asap :):):):)

Georgia [21]

Answer:

Step-by-step explanation:

3 0

4 years ago

A type of bamboo holds The Guinness world record for fastest growing plant. It can grow up to 91 cm per day. How fast in inches

Readme [11.4K]

Hey there! This problem seems tricky, but once we figure out how to solve, it becomes much more simple.

It looks like we have two conversions here:

Centimeters to Inches

Days to Hours

To convert them, we need to know their conversion rate, or in other words, how many centimeters are in an inch and how many hours are in a day.

2.54 cm. = 1 in.

1 day = 24 hours

Now that we have these in mind, all we need to do is a bit of division.

We will start with the expression "91 ÷ 24." This will break up our 91 centimeters into 24 hours, giving us the number of centimeters per hour. We use the "curvy equal sign" to show an approximate value.

91 ÷ 24 ≈ 3.7917

But wait! We aren't quite done yet. That expression only represents the number of centimeters per hour. Our question asks us for the inches per hour. Therefore, we need to do another expression.

If we use the expression "3.7917 ÷ 2.54," we will almost get an exact value. Keep in mind that the "2.54" represents how many centimeters are in an inch. Again, the "curvy equal sign" represents an approximate value.

3.7917 ÷ 2.54 ≈ 1.49

Using the logic above, we can say that the bamboo grows about 1.49 inches per hour.

If you have any follow up questions or need further explanations, feel free to ask in the comments!

6 0

3 years ago

What is the value of x + y? How do you know? Show or explain work

enot [183]

The angle (2y - 5)° and 95° are vertical angles, then they are congruent, that is,

$2y-5=95$

Solving for y:

$\begin{gathered} 2y-5+5=95+5 \\ 2y=100 \\ \frac{2y}{2}=\frac{100}{2} \\ y=50 \end{gathered}$

The angle (3x + 55)° and 85° are vertical angles, then they are congruent, that is,

$3x+55=85$

Solving for x:

$\begin{gathered} 3x+55-55=85-55 \\ 3x=30 \\ \frac{3x}{3}=\frac{30}{3} \\ x=10 \end{gathered}$

Finally, the value of x + y is:

$x+y=10+50=60$

6 0

1 year ago