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Serggg [28]
3 years ago
13

What is the side length of the smallest square plate on which a 30 cm chopstick can fit along a diagonal without any​ overhang?

The approximate side length of the square plate is black cm.
Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer: 21.21 cm

Step-by-step explanation:

Given

length of diagonal on the square is 30 cm

Suppose a is the side length of the square

and length of diagonal is given as a\sqrt{2}\ units

So,

\Rightarrow a\sqrt{2}=30\\\\\Rightarrow a=\frac{30}{\sqrt{2}}=21.21\ cm

Thus, the side length of the square is 21.21 cm

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Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?
Step2247 [10]

Answer:

X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]

Step-by-step explanation:

A matrix is given by

A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]

Now, we have to find the matrix X if \frac{1}{2} X = A

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]

⇒ X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right] (Answer)

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3 years ago
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John, Sam & Rob were playing cards. John scored x points,Sam scored 3 fewer than John. Rob scored twice Sam's points. togeth
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Answer:  2x-6

Work Shown:

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7 0
2 years ago
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Answer:

3/4 and 0.95 would both result in a reduction.

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If a is a rational number and b is a rational number, then the product ab must be
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The best way to answer this is to find counterarguments for each answer to eliminate them as a possibility. ab doesn't have to be an integer, 2.5*3=7.5 . That's also not an imaginary number so that's out. And that's also not an irrational number so that's out too. Only choice left is rational number.
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Based on the graph which congruence theorems or postulates are reasons why these graphs are equal?
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Triangles DEF and JKL can be proven to be congruent triangles based on:

C. ASA

E. AAS

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<h3>What is the ASA Congruence Theorem?</h3>

The ASA congruence theorem states that if two triangles that are have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent to each other.

<h3>What is the LA Congruence Theorem?</h3>

The LA congruence theorem states that two right triangles are congruent if they have a pair of congruent legs and a pair of congruent angles that are corresponding to each other.

<h3>What is the AAS Congruence Theorem?</h3>

The AAS congruence theorem states that two triangles with two pairs of congruent angles and a pair of congruent non-included sides are congruent.

From the image given, triangles DEF and JKL can be proven to be congruent triangles using the LA, AAS, and ASA congruence theorems.

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