1) ?=102 degrees
2) x=132 degrees
3) y=69 degrees and x=96 degrees
i hope the photo helps show you each step
2) x=132 degrees
3) y=69 degrees and x=96 degrees
i hope the photo helps show you each step
the height of an object varies directly with the length of its shadow. a person 6ft tall casts a 8.5ft shadow, while a tree cast
1 answer:
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Answer:
Step-by-step explanation:
The given functions are:
and
Now,
The domain refers to values of for which
is defined.
The expression under the radical sign must not be negative.
The domain is
The length of cuboid is 16 cm and breadth of cuboid is 4 cm.
<h3>How to find the Surface Area of Cuboid?</h3>A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.
Here, We have given that height of the cuboid is 5cm.
Let length of the cuboid = X cm
so, the breadth of the cuboid = cm
also, we have given that total surface area is 328 cm²
Now, put all the values in the formula of Surface Area (SA):
SA = 2 x ( LB + BH + HL )
SA = 2 x ( X²/4 + 5X/4 + 5X )
SA = 2 x ( ( X² + 5X + 20X) / 4 )
SA = ( X² + 5X + 20X ) / 2
X² + 5X + 20X = 328 x 2
X² + 25X = 656
X² + 25X - 656 = 0
using Quadratic Formula: see the attached figure for the formula.
here Discriminant D = b² - 4ac
D = 625 - 4(-656)
D = 3249
on putting value of D or b² - 4ac in the formula we get
X = ( -25 + 57 ) / 2 and ( -25 - 57 ) /2
length can not be negative so we eliminate the second answer.
now, X = 16 cm
breadth = X /4 = 4 cm
Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.
Learn more about " Quadratic Formula " from here: brainly.com/question/2615966
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