Answer:
168 ft
Step-by-step explanation:
1. Calculate the total length of the curtains
42 curtains × (48 in/1 curtain) = 2016 in
2. Convert to inches to feet
1 in = ¹/₁₂ ft
2016 in × (¹/₁₂ ft/1 in) = (2016/12) ft = 168 ft
Ariceli will need 168 ft of fabric.
<h3>
<u>Answer</u><u>:</u><u>-</u></h3>
192 cm²
<h3>
<u>Step</u><u> </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u></h3>
Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .
<u>According</u><u> to Pythagoras Theorem :- </u>
=> base² + perpendicular ² = hypontenuse ²
=> 12² + x² = (x+4)²
=> 144 + x² = x² + 16 + 8x
=> 8x = 144-16
=> 8x = 128
=> x = 128/8
=> x = 16 cm .
Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.
= 1/2 * 16 cm * 24cm .
= 192 cm²
<h3>
<u>★</u><u> </u><u>Hence</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the </u><u>tria</u><u>ngle</u><u> is</u><u> </u><u>1</u><u>9</u><u>2</u><u> </u><u>cm²</u><u> </u><u>.</u></h3>
See picture below for a geometric view.
Let x = height of building
We use basic trigonometry to find x.
The tangent function = opposite side of right triangle OVER adjacent side of right triangle.
tan(2°) = x/1
Solve for x.
After multiplying both sides by 1 (here 1 represents 1 mile), we get
tan(2°) = x.
We now use the calculator to find x.
In fact, you can take it from here. Use your calculator.
Answer:
1/5
Step-by-step explanation: