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3 years ago

What is the volume of this. Pyramid 720 cm2 1080cm2 1440 cm2 2160 cm2

Mathematics

1 answer:

Agata [3.3K]3 years ago

8 0

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = $\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})$

Area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(9)(15)$

= 67.5 cm²

Now volume of the pyramid = $\frac{1}{3}(67.5)(32)$

= 720 cm³

Therefore, Option (1) will be the correct option.

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What equation do you get when you solve z-m=z+bx for x?

Nimfa-mama [501]

X = -m/b.
Subtract z from both side and you get
-m= bx
Now divide both side by b and you get
-m/b= x

8 0

3 years ago

Read 2 more answers

the ratio of girls to boys in the sixth grade is 5:3. If there are 400 sixth graders, how many boys are there?

PilotLPTM [1.2K]

Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b eq. 1

g + b = 400 eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

2000 = 8b

2000/8 = b

250 = b

From eq. 2

g + 250 = 400

g = 400 - 250

g = 150

Check:

from eq. 1

5*150 = 3*250 = 750

3 0

2 years ago

Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61

Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: $\sum\limits^7_{n=1} {9n - 2}$

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

First term, a = 7
Common difference, d = 9
Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7 - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

$\sum\limits^7_{n=1} {9n - 2}$

Read more about arithmetic series at:

brainly.com/question/6561461

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3 years ago

Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2

4vir4ik [10]

Answer:

$\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}$

Step-by-step explanation:

We are given the function:

$\displaystyle g(x)=-\frac{3}{x-2}+2$

Let's find the inverse of g.

Call y=g(x):

$\displaystyle y=-\frac{3}{x-2}+2$

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

$y(x-2)=-3+2(x-2)$

Operate:

$yx-2y=-3+2x-4$

Collect the x's to the left side and the rest to the right side of the equation:

$yx-2x=-3-4+2y$

Factor the left side and operate on the right side:

$x(y-2)=-7+2y$

Solve for x:

$\displaystyle x=\frac{-7+2y}{y-2}$

Interchange variables:

$\displaystyle y=\frac{-7+2x}{x-2}$

Call y as the inverse function:

$\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}$

5 0

3 years ago

Please help for brainliest!!:)

grandymaker [24]

9514 1404 393

Answer:

Step-by-step explanation:

If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.

Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...

P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))

P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)

P(x) = x^4 +3x^3 -10x^2 -10x

3 0

2 years ago

What is the volume of this. Pyramid￼ 720 cm2 1080cm2 1440 cm2 2160 cm2

What is the volume of this. Pyramid 720 cm2 1080cm2 1440 cm2 2160 cm2