Answer:
86.53
Step-by-step explanation:
Area of Triangle Formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Step 1: Draw altitude and label numbers
If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find <em>h</em> using Pythagorean Theorem in order to use area formula:
3² + b² = 29²
b² = 29² - 3²
b = √832 = h
Step 2: Plug in known variables into area formula:
A = 1/2(√832)(6)
A = 3√832
A = 86.5332
0.3(3 - 0.5)
= 0.3(2.5)
= 0.75
Answer:
<u>30 gallons solution 4% and 10 gallons solution 8%</u>
Step-by-step explanation:
<h3>x•4%+y•8%=40•5% </h3>
<em><u>4x+8y=40•5 and x+y=40</u></em>
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
<span>According the information given we understand that the room is a regular rectangle, We know that volume = lenght * widht * height, so we start by calculate the room area as length by width, that is 16.4 * 4.5 = 73.8 square metres. Then with 3.26 metres of height, the total volum will 73.8 * 3.26 = 240.58 cubic metres.</span>
