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4 years ago

Step by step algebra ....can you show me step by step how to solve a basic algebra problem

Mathematics

1 answer:

Dahasolnce [82]4 years ago

7 0

What is the problem?

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A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he

Anna11 [10]

Answer:

$790\pi\,\,mm^2$

Step-by-step explanation:

Given: The diameter of the cylindrical base of the pencil is 10 mm and the height of the cylinder is 70 mm, while the height of the cone is 12 mm

To find: surface area of the pencil

Solution:

Radius of the cone = Radius of the cylinder (r) = diameter/2 = $\frac{10}{2}=5\,\,mm$

Height of the cylinder (H) = 70 mm

Height of the cone (h) = 12 mm

Slant height of the cone (l) = $\sqrt{r^2+h^2}=\sqrt{5^2+(12)^2}=\sqrt{25+144}=\sqrt{169}=13\,\,mm$

Curved surface area of cone = $\pi rl=\pi (5)(13)=65\,\pi \,\,mm^2$

Surface are of cylinder = curved surface area of cylinder + base area of cylinder

$=2\pi rH+\pi r^2\\=\pi r(2H+r)\\=\pi(5)\left [ 2(70)+5 \right ]\\=5 \pi\left ( 140+5 \right )\\=725\pi\,\,mm^2$

So,

surface area of the pencil = Curved surface area of cone + Surface are of cylinder = $65\pi+725\pi=790\pi\,\,mm^2$

5 0

4 years ago

Is 3.5 and 3.55 a equivalent decimal?

Black_prince [1.1K]

No because it would have to be 3.50 to be equivalent

5 0

3 years ago

Help!! Thank you! :)

solong [7]

Answer:2+2 is 4 - 1 thats 3 quick math

Step-by-step explanation:

6 0

3 years ago

Factor the polynomial completely. If the polynomial cannno be factored, sayit is prime

Vadim26 [7]

Ok so first, you can take out a greatest common factor, which is 2
You’ll be left with 2(x^2-3x-20)
I factored from there
Here’s my work
Hope this helps :)

5 0

3 years ago

If the longest side of a right triangle is 3x-4, the shortest side is x and the other side is 2x+4, find the lengths of the side

enyata [817]

Answer:

$Solution,\\Let~h=3x-4~,p=x~and~b=2x+4\\Then,\\h^{2} = p^{2}+b^{2}\\or, (3x-4)^{2}=x^{2}+(2x+4)^{2}\\or, 9x^{2} - 2(3x)(4) +16 = x^{2} +4x^{2}+2(4x)(4)+16\\or, 9x^{2} -24x+16 = 5x^{2}+16x+16\\or, 9x^{2}-5x^{2}-24x-16x=0\\or, 4x^2-40x = 0\\or, 4x(x-10) = 0\\i.e. x = 0~or~x=10\\$

4 0

3 years ago