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Alik [6]
3 years ago
5

Please help for online school

Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

4

Step-by-step explanation:

The diagram shows that the one triangle can be divided into two equal right triangles.  Because of this, you can use the Pythagorean Theorem to solve this problem.  a and b are the two sides of the angles, and c is the hypotenuse.

The given lengths are 5 as the hypotenuse and 3 as one length.  (You have 3 as a given length because the two triangles have a length of 6  on one side.  6/2 = 3)

a² + b² = c²

a² = c² - b²

a² = 5² - 3²

a² = 25² - 9²

a² = 16

a = 4

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Answer:true

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8 0
4 years ago
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
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A test driver has to drive a car on a 1-mile track for two rounds in a way, that his average speed is 60 mph. On his first round
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check :

40+80 = 120

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3 years ago
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