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3 years ago

A cube has how many vertices

Mathematics

1 answer:

Ulleksa [173]3 years ago

3 0

Answer: 8 vertices

Step-by-step explanation: A cube has 6 square faces. Each segment formed by the intersection of 2 faces is called an edge so a cube has 12 edges. Each point formed by the intersection of 3 edges is called a vertex so a cube has 8 vertices.

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Can someone plz help plz show work

aliya0001 [1]

Answer:

Step-by-step explanation:

In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:

$h^2=4^2+3^2\\\\h^2=16+9\\\\h^=25\to h=\sqrt{25}\\\\h=5\ ft$

The Lateral Area is the sum of the areas of three rectangles:

$4\ ft\ \times\ 2\ ft\to A_1=(4)(2)=8\ ft^2\\\\3\ ft\ \times\ 2\ ft\to A_2=(3)(2)=6\ ft^2\\\\5\ ft\ \times\ 2\ \ft\to A_3=(5)(2)=10\ ft^2$

The Lateral Area:

$LA=A_1+A_2+A_3\to LA=8+6+10=24\ ft^2$

8 0

3 years ago

Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

8 0

3 years ago

Read 2 more answers

What if the value of x? show all work

alina1380 [7]

For this case we can make use of the Pythagorean theorem.
We have then:
(root (117)) ^ 2 = x ^ 2 + 6 ^ 2
Clearing x we have:
x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
Rewriting:
x = root (117-36)
x = root (81)
x = 9
Answer:
The value of x is given by:
x = 9 cm

4 0

3 years ago

Hi can someone please help me with this i will give you five stars!!

tino4ka555 [31]

Step-by-step explanation:

Let's look at what we know. We know that...

P=2000

r=0.04 (Change 4% to a decimal)

t=7 (25 years minus 18 years equals 7)

n=1

Since we are compounding each year, we need to use this equation: $P(1+\frac{r}{n} )^{nt}$

Now just plug the numbers in: (Answer to #1:) $2000(1+\frac{0.04}{1} )^{(1*7)}$

This equals 2631.86

When we round, this equals to $2,632. (Answer to #2).

3 0

2 years ago

Goat on a Rope

mariarad [96]

Answer:

the area of grass is 314 square feet

Step-by-step explanation:

The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)

Then the area of the circle is: $Area=\pi\,R^2=3.14\,(10\,\,ft)^2=3.14 * (100)\,ft^2=314 \,\,ft^2$

So the area of grass is 314 square feet

6 0

3 years ago