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nataly862011 [7]
3 years ago
7

Please help with these two questions

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0
To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.

</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.

A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.

12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.

Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.

Shape C is a <em>prism.</em>

Shape D is a <em>pyramid.

</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.

A cube is a 3-D shape with six sides, all made up of squares of the same size.

The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.

This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.

1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.

To find the number of layers needed to fill the box, you divide 120 by 24.

120 ÷ 24 = 5

The answer to #13 is 5 layers.
You might be interested in
One angle of an isosceles triangle measures 68°. Which other angles could be in that isosceles triangle
nirvana33 [79]

Answer:

<u>68°</u>

Step-by-step explanation:

A triangle with two sides of equal length is an isosceles triangle.✨

hope you have a great day.

4 0
2 years ago
I need to solve for x and I’m confused it’s about angels please help me
likoan [24]
Both 52 and 5x-8 are equal to each other due to being parral.
SO 5x-8=52

Add both sides.
8+8 52+8= 60

5x 60
Now divide both sides by 5 and you get 12=x Hope this helps!





8 0
3 years ago
Based on the sample of n = 25 healthy-weight students, can you conclude that healthy-weight students eat significantly fewer fat
Elis [28]

Answer:

z = -1.645

Step-by-step explanation:

b) n =25, M = 4.01 , \mu = 4.22 , \sigma = 0.60 , \alpha= 0.05

The hypothesis are given by,

H0 : \mu\geq 4.22 v/s H1 : \mu < 4.22

The test statistic is given by,

Check attachment for the formula that should br here.

z = \frac{4.01- 4.22 }{0.60 /\sqrt{25}}

= -1.75

The critical value of z = -1.645

The calculated value z > The critical value of z

Hence we reject null hypothesis.

The healthy-weight students eat significantly fewer fatty, sugary snacks than the overall population.

8 0
3 years ago
Read 2 more answers
Given the piecewise function shown below, select all of the statments that are true.
timurjin [86]
The <span>given the piecewise function is :
</span>
f(x) = \[ \begin{cases} &#10;      2x & x \ \textless \  1 \\&#10;      5 & x=1 \\&#10;      x^2 & x\ \textgreater \ 1 &#10;   \end{cases}&#10;\]

To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25


To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4

To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4

To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
================================
So, the statements which are true:<span>
\framebox {B. f(2) = 4} \ \framebox {D. f(1) = 5}</span><span></span>
8 0
3 years ago
((-2^2)(-1^-3))•((-2^-3)(-1^5))^-2
Vitek1552 [10]

Answer:

  256

Step-by-step explanation:

A calculator works well for this.

_____

None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.

1 to any power is still 1, so the factors (1^n) can be ignored.

After you ignore all of the things that can be ignored, your problem simplifies to ...

  (2^2)(2^-3)^-2

The rules of exponents applicable to this are ...

  (a^b)^c = a^(b·c)

  (a^b)(a^c) = a^(b+c)

Then your product simplifies to ...

  (2^2)(2^((-3)(-2)) = (2^2)(2^6)

  = 2^(2+6)

  = 2^8 = 256

3 0
3 years ago
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