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lesya692 [45]
3 years ago
8

5. The area of the greatest square that is cut from a rectangle of sides

Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

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If a polynomial function f(x) has roots 6 and square root of 5, what must also be a root of f(x)?
ivolga24 [154]

Answer:

-\sqrt{5}

Step-by-step explanation:

A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:

  • One answer with positive square root
  • One answer with negative square root

For example, for the equation:

x^{2}=3

If we take the square root of both sides, the answers will be:

x=\sqrt{3} \text{ or } x= -\sqrt{3}

Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.

For given case, the roots are 6 and \sqrt{5}. Therefore, the 3rd root of the polynomial function f(x) had to be -\sqrt{5}

It seems you made error while writing option B, it should be - square root of 5.

4 0
3 years ago
In the diagram below, AB is parallel to CD. What is the value of x?
garik1379 [7]

The correct answer is: Option (D) x = 72°

Explanation:

When two lines are crossed by another line, the angles in matching corners are called <em>corresponding angles</em>. When the two lines are <em>parallel</em>, the corresponding angles are <em>equal</em>.

Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, <em>the corresponding angles will be the same</em>.

Since the first corresponding angle is 72°, the second angle <em>x </em>will be 72° as well. The correct answer is: x = 72° Option (D).

8 0
3 years ago
Read 2 more answers
How do you solve 3 1/2- 2 2/5
Veseljchak [2.6K]
You would first have to find common denominators for the fractions. In this case it would be 10. So your new equation would be 3 5/10 - 2 4/10. Once you do this you can then subtract and solve getting the answer of 1 1/10
5 0
3 years ago
Anyone want to talk? whats 95x4?
grin007 [14]

Answer:

95*4=380

Step-by-step explanation:

7 0
3 years ago
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Find the missing side of the triangle
Yuri [45]

Answer:

x = 15

Step-by-step explanation:

Pytago: a^2 + b^2 = c^2

x = \sqrt{25^{2} -20^{2} } = 15

6 0
2 years ago
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