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3 years ago

Which statement about the net is true?

Mathematics

1 answer:

Schach [20]3 years ago

3 0

The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

If you fold this net up, you will get a triangular prism, NOT A PYRAMID.

A pyramid can have ANY polygon as its base, as long as all the other rest of the shapes are triangles.

Depending on the base, the number of triangles in a net of a pyramid must match the number of sides its particular base has.

For example, if you have a square pyramid turned into a net:
The base is a square (4 sides)
There should be 4 triangles on each side.

Because a pyramid is where all the triangles must meet up at a point.

Hope this helps!

You might be interested in

The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo.

agasfer [191]

2:7 ( $\frac{12}{42} = \frac{2}{7}$ )
12:42

42 + 21 = 63 animals
63/7 = 9
9 x 2 = 18

The answer is 18 keepers

4 0

3 years ago

Read 2 more answers

Fill in the missing term in the equation

Y_Kistochka [10]

Answer:

x

Step-by-step explanation:

Let's simplify the LHS so it can be equated to the RHS.

$\frac{x}{x^{2} -4x+4} - \frac{x}{x^{2} -3x+2}$

$\frac{x}{(x-2)^{2} } - \frac{x}{(x-1)(x-2)}$

$\frac{x(x-1)-x(x-2)}{(x-2)^{2}(x-1)}$

$\frac{x^{2} -x-x^{2}+2x }{(x-2)^{2}(x-1)}$

$\frac{x}{(x-2)^{2}(x-1)}$

Hence, the missing term in the numerator of the answer is x

6 0

2 years ago

The following information was obtained from independent random samples taken of two populations. Assume normally distributed pop

Volgvan

Answer:

1. The 95% confidence interval for the difference between means is (-5.34, 11.34).

2. The standard error of (x-bar1)-(x-bar2) is 4.

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{9.2195^2}{10}+\dfrac{9.4868^2}{12}}\\\\\\s_{M_d}=\sqrt{8.5+7.5}=\sqrt{16}=4$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the difference between means.

The sample 1, of size n1=10 has a mean of 45 and a standard deviation of √85=9.2195.

The sample 2, of size n2=12 has a mean of 42 and a standard deviation of √90=9.4868.

The difference between sample means is Md=3.

$M_d=M_1-M_2=45-42=3$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{9.2195^2}{10}+\dfrac{9.4868^2}{12}}\\\\\\s_{M_d}=\sqrt{8.5+7.5}=\sqrt{16}=4$

The critical t-value for a 95% confidence interval is t=2.086.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_{M_d}=2.086 \cdot 4=8.34$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = 3-8.34=-5.34\\\\UL=M_d+t \cdot s_{M_d} = 3+8.34=11.34$

The 95% confidence interval for the difference between means is (-5.34, 11.34).

6 0

4 years ago

48 out of 120 equals what percent

kogti [31]

48/120 = 40%

48 * 2,5 = 120

np ;)

8 0

3 years ago

Read 2 more answers

3x - 2 (x + 3) = 4x - 7

Softa [21]

The answer: " x = ⅓ " .
____________________________________________________
Given: " 3x − 2 (x + 3) = 4x − 7 " ; Solve for "x" ;
____________________________________________________

Start with the following term on the "left-hand side" of the equation:

" - 2 (x + 3) " ;
____________________________________________________
Note the "distributive property of multiplication" :
____________________________________________________
a(b + c) = ab + ac ;

a(b − c) = ab − ac ;
____________________________________________________
As such,

" -2 (x + 3) = -2(x) + -2(3) = -2x + (-6) = -2x − 6 ;
____________________________________________________
So, we can rewrite our equation:
____________________________________________________
" 3x − 2 (x + 3) = 4x − 7 " ; substituting: " -2x − 6" (for " −2 (x + 3)" ; as follows:
____________________________________________________

3x − 2x − 6 = 4x − 7 ;
___________________________________________________
On the left-hand side off the equation;
________________________________
We can combine the "like terms" ; as follows:

3x − 2x = 1x = x ; and rewrite the equation:
__________________________________
x − 6 = 4x − 7 ;

____________________________________
We can subtract "4x" from each side of the equation; and add "6" to each side of the equation:
____________________________________
x − 6 − 4x + 6 = 4x − 7 − 4x + 6 ;

to get: -3x = -1 ;
____________________________________
Now, we divide EACH SIDE of the equation by "-3" ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;
____________________________________
-3x / 3 = -1/-3 ;
____________________________________
to get: x = ⅓ .
_____________________________________
 → Now, let us check our answer by plugging in "⅓" for all values of "x" in the ORIGINAL GIVEN EQUATION; to see if the equation holds true:
_____________________________________________________
 → 3x − 2 (x + 3) = 4x − 7 ;

 → [3 * (⅓) ] − 2 [ (⅓) + 3) = ? 4(⅓) − 7 ?? ;

 → (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;

 → (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;

 → (³/₃) − 2(¹⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;

→ (³/₃) − (²⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;

→ ⁽³ ⁻²⁰⁾/₃) =? ⁽⁴⁻²¹⁾/₃) ??

→ ⁻¹⁷/₃ = ? ⁻¹⁷/₃ ?? Yes! Our answer "makes sense"!
_____________________________________________________

3 0

3 years ago