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3 years ago

The right pengtagonal prism has a height of of 14 units.

Mathematics

2 answers:

rusak2 [61]3 years ago

5 0

Answer:

Last option on edge

Step-by-step explanation:

siniylev [52]3 years ago

3 0

Answer:

30 units

Step-by-step explanation:

The volume is given by ...

V = Bh

Filling in the given numbers, we can find the area of the base (B) to be ...

840 = B(14)

840/14 = B = 60

The area of the base is given by the formula ...

B = (1/2)Pa

where P is the perimeter and a is the apothem. Filling in the numbers we know, we have ...

60 = (1/2)P(4)

30 = P . . . . . . divide by 2

The perimeter of the base is 30 units.

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Find the unknown angle measure.

Fofino [41]

Answer:

58 degrees

Step-by-step explanation:

add the 2 shown, 74+48, to get 122 all triangles add up to 180 so subtract 122 from 180 and you get 58

7 0

3 years ago

Read 2 more answers

(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))

pentagon [3]

The results of the composite functions are:

$(f \times g)(x) = 6x^2-9x$

$f(g(x)) = 6x - 3$

$g(f(x)) = 6x - 9$

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

$f(x) = 2x - 3$

$g(x) = 3x$

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

$(f \times g)(x) = f(x) \times g(x)$

$(f \times g)(x) = (2x-3) \times (3x)$

$(f \times g)(x) = 6x^2-9x$

<h3>Function f(g(x))</h3>

We have: $f(x) = 2x - 3$

This gives

$f(g(x)) = 2g(x) - 3$

So, we have:

$f(g(x)) = 2(3x) - 3$

$f(g(x)) = 6x - 3$

<h3>Function g(f(x))</h3>

We have: $g(x) = 3x$

This gives

$g(f(x)) = 3f(x)$

So, we have:

$g(f(x)) = 3(2x - 3)$

$g(f(x)) = 6x - 9$

Read more about composite functions at:

brainly.com/question/10687170

4 0

2 years ago

What is the length of the hypotenuse with<br> the given vertex (-5,0)?<br> I

Margaret [11]

Answer:

5000 square ft

Step-by-step explanation:

4 0

3 years ago

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Sholpan [36]

Answer:

The equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Step-by-step explanation:

Given the points

(-8, 5)

(-1, -5)

Finding the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)$

$m=\frac{-5-5}{-1-\left(-8\right)}$

$m=-\frac{10}{7}$

We know the slope-intercept form of the line equation is

$y = mx+b$

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

$5\:=\:\frac{-10}{7}\left(-8\right)+b$

$\frac{80}{7}+b=5$

$b=-\frac{45}{7}$

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

$y = mx+b$

$y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)$

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Thus, the equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

7 0

3 years ago

3rd out of 10 questions<br> For a cooking class, Tom earns 4 points for each meal that he cooks.

Pani-rosa [81]

The ratio would be 1 meal : 4 points.

6 0

3 years ago

Read 2 more answers