1. The figure is a prism: V = lwh = (12.1)(5.3)(4.2) = 269.3 cu. cm.

2. The figure is also a prism but the base is triangular: V = 1/2*b*h*l = 1/2*(13)*(sqrt(3)/2*13)*24 = 1756.3 cu. yd.

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8 0

2 years ago

rosa is saving money for a trip. she has already saved $250 and plans to save $40 per week. this situation can be represented by

malfutka [58]

Rosa has saved $490 in 6 weeks.

To find the answer to this, simply plug the number of weeks in for the value of x and solve.

f(x) = 250 + 40x

f(6) = 250 + 40(6)

f(6) = 250 + 240

f(6) = 490

5 0

2 years ago

Complete the point-slope equation of the line through ( − 5 , 4 ) (−5,4)left parenthesis, minus, 5, comma, 4, right parenthesis

Tanzania [10]

The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Step-by-step explanation:

Given points are:

(x1,y1) = (-5,4)

(x2,y2) = ((1,6)

First of all we have to find the slope of line

So,

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{6-4}{1+5}\\=\frac{2}{6}\\=\frac{1}{3}$

Point-slope form is given by:

$y-y_1=m(x-x_1)$

Putting m=1/3

$y-y_1=\frac{1}{3}(x-x_1)$

Putting (1,6) in the equation

$y-6=\frac{1}{3}(x-1)$

The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Keywords: Point slope form

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3 0

3 years ago