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3 years ago

A pyramid has a base area of 44cm and a height of 12.6 cm what is the volume of the pyramid ?

Mathematics

1 answer:

aliya0001 [1]3 years ago

7 0

Answer:

184.8 cubic cm

Step-by-step explanation:

The formula for the volume of a pyramid is

V = (1/3)(B)(h) where B is the area of the base, and h is the height

We are given B = 44 cm² andh = 12.6cm

Plug them into the formula and simplify...(I'm assuming you are allowed to use a calculator for these problems)

V = (1/3)(44cm²)(12.6cm)

<h2> V = 184.8 cm³ or 184.8 cubic cm</h2><h2 />

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Evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = The value is a root of p(x).

bija089 [108]

Note: Since you missed to mention the the expression of the function $p(x)$ . After a little research, I was able to find the complete question. So, I am assuming the expression as $p(x)=x^4-9x^2-4x+12$ and will solve the question based on this assumption expression of $p(x)$ , which anyways would solve your query.

Answer:

$p\left(-2\right)=0$

Therefore, $x=-2$ is a root of the polynomial $p(x)=x^4-9x^2-4x+12$

$p\left(2\right)=-16$

Therefore, $x=2$ is not a root of the polynomial $p(x)=x^4-9x^2-4x+12$

Step-by-step explanation:

As we know that for any polynomial let say $p(x)$ , $c$ is the root of the polynomial if $p(c)=0$ .

In order to find which of the given values will be a root of the polynomial, $p(x)=x^4-9x^2-4x+12$ , we must have to evaluate $p(x)$ for each of these values to determine if the output of the function gets zero.

So,

Solving for $p\left(-2\right)$

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

$p\left(-2\right)=\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12$

$\mathrm{Simplify\:}\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12:\quad 0$

$\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\left(-2\right)^4-9\left(-2\right)^2+4\cdot \:2+12$

$\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}$

$=2^4-2^2\cdot \:9+8+12$

$=2^4+20-2^2\cdot \:9$

$=16+20-36$

$=0$

Thus,

$p\left(-2\right)=0$

Therefore, $x=-2$ is a root of the polynomial $p(x)=x^4-9x^2-4x+12$ .

Now, solving for $p\left(2\right)$

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

$p\left(2\right)=\left(2\right)^4-9\left(2\right)^2-4\left(2\right)+12$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$p\left(2\right)=2^4-9\cdot \:2^2-4\cdot \:2+12$

$p\left(2\right)=2^4-2^2\cdot \:9-8+12$

$p\left(2\right)=2^4+4-2^2\cdot \:9$

$p\left(2\right)=16+4-36$

$p\left(2\right)=-16$

Thus,

$p\left(2\right)=-16$

Therefore, $x=2$ is not a root of the polynomial $p(x)=x^4-9x^2-4x+12$ .

Keywords: polynomial, root

Learn more about polynomial and root from brainly.com/question/8777476

#learnwithBrainly

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3 years ago

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A triangular prism is 17 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sid

Lisa [10]

Answer:

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Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²

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Which expression is equivalent to the one below? 6 ÷ 5 A 6:1/5 B 5:1/6 C 5/6 D 30

vlada-n [284]

Answer:

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Step-by-step explanation:

6:1/5 can also be written as 6/1÷5 which equals to 6÷5

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A store was selling lawn mowers for $69. The repair

Natali5045456 [20]

Answer:

$84.87

Step-by-step explanation:

The mover costs $69

23% of 69 is $15.87

add the two together to get $84.87

(or just multiply 69 by 1.23)

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I literally dont understand this at all please help

wariber [46]

Nobody is going to answer all that for 10 points lol

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