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2 years ago

What is one thousand more than biggest two digit number

Mathematics

1 answer:

Musya8 [376]2 years ago

8 0

The largest two digit number is 99 so, 1000 + 99 = 1099.

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

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3 years ago

Which angle is supplementary to the angle DCF in this diagram.

GrogVix [38]

Step-by-step explanation:

the angles are supplementary to the angle in the diagram is Angle BCF

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2 years ago

In a class of 30 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose

e-lub [12.9K]

There are 4 students who have piercings both on their ear and their noses.

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2 years ago

What equations have z=4

natita [175]

<h2>Just some examples...</h2>

2z+4=12

2(4)+4=12

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5z*2=40

5(4)*2=40

<h2 />

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2 years ago

The angles in a triangle are in the ratio 1:2:3. Show that the triangle is a right - angled triangle.

Alja [10]

Answer:

Angles in a triangles add up to 180°

Respectively 1 : 2 : 3 is going to be 1 x , 2 x and 3 x so,

1 x + 2 x + 3 x = 180°

⇒ Simplify

6 x = 180°

⇒ Divide by 6 on both sides to isolate x

x = 30°

Since the ratio was 1 x : 2 x : 3 x and x is 30°,

30 : 60 : 90

And since there is a 90° angle, it is a right - angled triangle

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2 years ago