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Rufina [12.5K]
3 years ago
5

What is the area of a 6x6x6 equilateral triangle?

Mathematics
2 answers:
NARA [144]3 years ago
6 0
A 6x6x6 triangle
we cut it into half so consider one half
its 6x3
by Pythagoras theorem, we can find the length of the triangle sqrt (6^2 -3^2) = a
then we can find the area of the triangle by
1/2 x base x height
=
1/2 x 6 x a
maw [93]3 years ago
4 0
216 cubic units bc 6x6=36 and then 36x6=216
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It takes ten identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inc
dsp73
 <span>Length of outer track = sum of length of 10 pieces = circumference of the outer circle 


if R is the Radius of outer circle then... 

Circumference of the outer track = 2pi*R 


Similarly the circumference of the inner track (with radius r) = 2pi*r 


length of each outer piece is 3.4 inch more than length of inner piece 

So total outer length is 10*3.4 =34 inches more than the inner length. 


=> Outer Circumference - Inner Circumference = 34 inches 

=> 2pi*R - 2pi*r = 34 

=> 2pi(R -r) = 34 

=> R-r = 34/2pi = 5.41 inches 

=> R-r = Width of the track = 5.41 inches</span>
6 0
3 years ago
Domino's charges $10.99 for a large pizza.Nia just realized that she has three coupons for large cheese pizzas.each coupon is fo
strojnjashka [21]
Since she has $6 off for all the pizzas, she can get 10 pizzas with a $6 discount.
She would save $6 since, she has the discount and she would still have something left so she could buy something more if she wished to.
6 0
2 years ago
Write a decimal that is 1/10 of 0.9
Mkey [24]

The <em>correct answer</em> is:

0.09

Explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (1*9)/(10*10) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

6 0
3 years ago
Read 2 more answers
5. Evaluate the quadratic function f(x) = 5(x-3)(x-2) when x = 9​
tatyana61 [14]

Answer:

Step-by-step explanation:

f(9)=5(9-3)(9-2)

=5*6*7

=210

7 0
3 years ago
Read 2 more answers
The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 c
Leno4ka [110]

Answer:

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

<u>Volume of a rectangular prism = ?</u>

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism = \frac{1}{2} \times3=\frac{3}{2} \ cm

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism = \frac{1}{3}\  of\ length

                            3=\frac{1}{3}\times length

By multiplying both sides by 3

                            3\times3=\frac{1}{3} \times3\ length\\9= length\\

Thus, length of prism = 9 cm

Now, as we know:

Volume\ of\ rectangular\ prism=length\times breadth\times height

                                                 =9\times3\times\frac{3}{2} \\\\ =\frac{81}{2} \\ \\ =40.5\ cm

Therefore, the volume of a rectangular prism is 40.5 centimeters.

3 0
3 years ago
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