2(z - 5) + (z - 8) =
= 2z - 10 + z - 8 =
= 2z + z - 10 - 8 = <u>3</u><u>z</u><u> </u><u>-</u><u> </u><u>1</u><u>8</u> ← the end
This question can be solved using the Herons equation where
A = SQRT [s*(s-a)*(s-b)*(s-c)]
A = area of the triangle
a, b and c are the sides of the triangle
s = (a+b+c)/2
Since we are given the area, we can express "s" as a function of the third side c. This can be substituted in the original equation so as to obtain an expression to solve for the third side c
s = (4+10+c)/2 = (14+c)/2
using the solver function of the calculator or MS Excel, the third side is 7.21 units
I think any of these would work
10;18
15;28
20;35
<h2>19.</h2><h3>Given</h3>
- window width and height are in proportion to building width and height
- window width and height are 11 in and 18 in, respectively
- building height is 108 ft
<h3>Find</h3>
<h3>Solution</h3>
The proportional relation can be written as
... (building width)/(building height) = (window width)/(window height)
Multiplying by (building height) gives
... (building width) = (building heigh) × (window width)/(window height)
... (building width) = 108 ft × (11 in)/(18 in)
... building width = 66 ft
<h2>21.</h2><h3>Given</h3>
- map distance = 6.75 in
- map scale = 1.5 in : 5 mi
<h3>Find</h3>
<h3>Solution</h3>
The distances are in proportion, so
... (map distance) : (actual distance) = 1.5 in : 5 mi
Multiplying by (5 mi)/(1.5 in)×(actual distance), we have
... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi
Answer:
Surface area = 2,160 in²
Step-by-step explanation:
Given:
Length of box = 15 in
Width of box = 30 in
Height of box = 24 in
Find:
Surface area
Computation:
Surface area = 2h[l+b]
Surface area = 2(24)[30 + 15]
Surface area = 48 x 45
Surface area = 2,160 in²
