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2 years ago

Find the volume of the given prism. Round to the nearest tenth if necessary.

Mathematics

1 answer:

alex41 [277]2 years ago

3 0

Answer:

17m³

Step-by-step explanation:

==>Given:

Prism with right triangular base with the following dimensions:

Height = 17m

Base area = area of the right triangle = ½×2×1 = 1m²

==>Required:

Volume of prism

==>Solution:

Volume of prism = Base area × height of prism

Volume of prism = 1m² × 17m

Volume = 17m³

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PLEASE ANSWER, WILL GIVE BRAINLIEST!

kumpel [21]

<h3>Answer: b = 17</h3>

====================================================

Explanation:

The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.

We'll plug these x and y values into the equation and solve for b.

y = -3x+b

2 = -3(5)+b

2 = -15+b

2+15 = b

17 = b

b = 17

The equation y = -3x+b turns into y = -3x+17

8 0

2 years ago

What two rational expressions sum to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B2%7D%7Bx%5E%7B2%7D-9%2B8%20%7D" id="TexFor

bulgar [2K]

Answer:

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

Step-by-step explanation:

Given

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

Required

Fill in the gaps

Going by the given parameters, we have that

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

$x^2 - 9x + 8$ , when factorized is $(x-1)(x-8)$

Hence; the expression becomes

$\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}$

Combine Fractions

$\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}$

Simplify the denominators

$4x + 2 = A + B$

By direct comparison

$A = 4x$

$B = 2$

Hence, the complete expression is

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

3 0

3 years ago

Read 2 more answers

What is the area of the trapezoid with height 13 units? Enter your answer in the box. units2 A rectangle with a length of 15 and

jolli1 [7]

Answer:

Step-by-step explanation:

Area of the trapezoid = area of rectangle + 2 * area of triangle

Area of a triangle = 1/2 bh

= 1/2 * 13 * 7

= 45.5 units²

Area of a rectangle = L × B

= 15 × 13

= 195 units²

Area of the trapezoid = [195 + 2 * (45.5)]

= 195 + 91

= 286 units²

3 0

2 years ago

Read 2 more answers

Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.

Airida [17]

<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line passes through (7,-6).

We need to find the slope intercept form of perpendicular line of given line.

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is $\frac{1}{2}$ , by comparing with the general form of slope intercept form.

$\frac{1}{2} \times$ slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

6 0

3 years ago

A line contains the points (-7,15) and (10,27) what is the slope of the line as a simplified fraction?

Gwar [14]

Answer:

The slope of line for given points is $\frac{12}{17}$

Step-by-step explanation:

Given points of line as :

A = ( - 7 , 15 ) i, e $x_1$ = - 7 , $x_1$ = 15

B = ( 10 , 27 ) i.e $x_2$ = 10 , $y_2$ = 27

Let The slope of line be m

So , The slope with two points is given as equation

m = $\frac{y_2 - y_1}{x_2 - x_1}$

Or, m = $\frac{27 - 15}{10 + 7}$

Or, m = $\frac{12}{17}$

Hence The slope of line for given points is $\frac{12}{17}$ . Answer

8 0

2 years ago