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3 years ago

How old will steve be in 2 years if k years ago he was w years old

Mathematics

2 answers:

Annette [7]3 years ago

5 0

(k+w)+2 would be the answer if it was an algebraic expression.

Tanya [424]3 years ago

4 0

He would be 15 year old old enough to school

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

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3 years ago

A 400 foot rope is extended from the ground to the top of a building. The building is 35 ft tall. What is the angle made by the

velikii [3]

Answer:

The angle is $5.0^{0}$ .

Step-by-step explanation:

The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;

Sin θ = $\frac{opposite}{hypotenuse}$

The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;

Sin θ = $\frac{35}{400}$

Sin θ = 0.0875

θ = $Sin^{-1}$ 0.0875

= $5.02^{0}$

The angle made by the rope with respect to the ground is approximately $5.0^{0}$ .

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Dmitrij [34]

Answer:

The graph will shift 9 units to the right

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ms. cox and her three friends are dining at a restaurant. the food they order cost %80. the bill includes an additional 15% serv

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Answer:

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Step-by-step explanation:

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