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Vlad1618 [11]
3 years ago
12

PLEASE explain this, I'm so lost. 25 points! What is the area of the base of the pyramid? Enter your answer in the box. Express

your answer in radical form.

Mathematics
2 answers:
stepladder [879]3 years ago
5 0
To find the area of the triangle shown we have to find the length of a and the base.

a can be found using the sine function. Recall sin = (opp)/(hyp)

Here sin 60 =  \frac{a}{8} 

\frac{ \sqrt{3} }{2}= \frac{a}{8}  

2a=8 \sqrt{3}
a=4 \sqrt{3}

The base can be found using the sin of 30 degrees as this is a 30-60-90 right triangle.
sin30= \frac{b}{8}
\ \frac{1}{2} = \frac{b}{8}
b=4

The area of the triangle in the picture is given by A=( \frac{1}{2} )bh= (\frac{1}{2})(4)( \frac{ \sqrt{3} }{2} )= \sqrt{3}.

The base of the pyramid is a hexagon which can be divided into 6 triangles each of which is double the area of the one we just found. So the area of the base = 2(area of the triangle we found)(6) = 12 \sqrt{3}
Alla [95]3 years ago
3 0

The answer is:

area of base =  12\sqrt{3}


Hope it helps!

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Maxwell’s vegetarian tacos require 34 tablespoons of chili powder for every 12 pounds of vegetables. How much chili powder will
Crazy boy [7]

Answer:

2 1/4

How?

Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.

Because of the above, the first proportion will be:

x is 3/4 and y is 1/2. Across from that proportion make another one

x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.

Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.

5 0
3 years ago
Combining like terms with rational coefficients <br> 7/8m+9/10-2m-3/5
nikklg [1K]

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing \frac{7}{8}m-2m first. Afterwards, do \frac{9}{10}-\frac{3}{5}

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). \frac{9}{10} -\frac{6}{10}=\frac{3}{10}

Step 3: 1.125+3/10

7 0
3 years ago
Find the product (n+7)^2
mr_godi [17]

this becomes (n+7) x (n+7) which becomes

n^2 +14n +49


4 0
3 years ago
Read 2 more answers
!!!HELP!!! PLEASE SHOW WORK SO I CAN UNDERSTAND!
ss7ja [257]

The only part of this problem that's the least bit tricky is knowing
the formula for the volume of a sphere.  Here is is:

          Volume of a sphere = (4/3) (pi) (radius of the sphere)³  .

Everything else is just arithmetic.

pi . . . use 3.14
Radius . . . 2-1/8 inches.  It'll be easier if we write that as  2.125 inches.

Now, just put the numbers into their places in the formula:

         Volume = (4/3) (pi) (radius of the sphere)³

                     = (4/3) (3.14) (2.125)³

and run that through your calculator.

When I run it through mine, I get  <u>40.174 in³ .</u>

None of the choices is anywhere near that number.
I'm worried, and I don't understand that.

Maybe we should look back at the question, and notice that
it says "estimate" ... something you do quickly in your head.

OK.  We know the real formula ...   Volume = (4/3) (pi) (radius)³ .
How could we estimate this quickly in our head?

pi . . . instead of 3.14, just use 3

radius . . . instead of 2-1/8, just use 2 .  Then (radius)³ = 2 x 2 x 2 = 8

Then  (4/3) (pi) (radius)³ = (4/3) (3) (8) = (4/3) of 24  =  <em>32 .</em>

Well now, will you look at that !  I guess that's where the 32 came from
on the list of choices.


6 0
3 years ago
How are midpoints and bisectors the<br> same/different?
tigry1 [53]

Answer:

midpoint shows in one place while bisector covers most area

7 0
3 years ago
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